The full pipeline
External input and noise feed 88 neural agents. Each updates velocity, drive, gate, activation, potential and coupling. A 16-strand lattice with 16 coordinates per strand applies weighted transforms, Hebbian increments and a state blend. An energy accumulator and aggregate-state tanh functions produce the local and global diagnostics.
Three meanings that must remain separate
The golden ratio φ is a constant. The global strand score is tanh of the mean of 256 coordinates. The unity score is 1/(1+|x−1|). The document explicitly distinguishes the global score from IIT Φ, which uses a separate model and irreducibility computation. The source’s historical PyPhi numbers are reported results pending their exact input/model pipeline.
The equation count
The document labels 516 equation slots, but supplies many through repeated component families rather than independent derivations. All 174 core and 200 supplemental components now have explicit instance pages. Sixteen cognitive-family functions and sixteen basis features are also individually explained. The source-number map retains 106 positions whose formula or unique number mapping is absent or ambiguous instead of inventing content.
Corrections displayed alongside the source
The source’s decimal DNA increment does not equal its stated 1/φ³ approximation. Its k1 fraction and decimal disagree. Modular residues 13 and 17 repeat, and finite-precision phases cannot support an unlimited no-repeat guarantee. These issues are annotations to the preserved version, not silent edits to its historical equations.
Equations in this build
545 linked mathematical records. Each opens its notation, interpretation and source.
G16 family 0: Continuous
Moves the state one tenth of the way toward the normalized change signal. Algebraically it is a 90% old-state and 10% target blend, so the recurrence smooths successive inputs.
G16 family 1: Discrete
Combines 90% of the current state with 10% of the supplied utility. It is an exponential smoothing update when applied repeatedly to a sequence of utility values.
G16 family 2: Reaction-Diff
Moves the current state toward a softsign-transformed change signal at a 5% blend rate. If softsign is the conventional z/(1+|z|), its target lies between −1 and 1.
G16 family 3: Optimization
Adds a bounded step toward the utility value, with step direction determined by u−x. Under the conventional softsign function, the magnitude of a single increment is smaller than…
G16 family 4: Bayesian
Adds utility to the state and scales the result by one plus the magnitude of utility. The denominator is at least one and prevents division by zero for finite real utility.
G16 family 5: Learning
Accumulates one tenth of the normalized change signal in the state. Repeated nonzero updates can accumulate; this expression contains no forgetting or clipping term.
G16 family 6: Mutual Info
Averages the current state and a sigmoid-transformed normalized change signal. Its behavior depends on the definition of σ and the state domain.
G16 family 7: Rate-Distort
Adjusts state by a weighted utility-minus-error signal. A higher error reduces the state, while higher utility raises it, both with coefficient 0.05.
G16 family 8: Consensus
Retains 95% of the state and incorporates 5% of a normalized change signal. Agreement across agents depends on how those signals are exchanged.
G16 family 9: Swarm
Takes a bounded step toward the supplied change value. In a network implementation that value could be derived from neighbors; the formula itself specifies only the local step.
G16 family 10: Field Accum
Blends the old state with the change signal using a golden-ratio-derived coefficient. With φ=(1+√5)/2, ρ is about 0.382 and the retained fraction is about 0.618.
G16 family 11: Free Energy
Rewards utility while penalizing the magnitude of the change signal. Both contributions use the same coefficient, so the increment is 0.05(u−|dx|).
G16 family 12: Compression
Subtracts a nonnegative penalty proportional to the magnitude of normalized change. Repeated application decreases or preserves x unless other parts of the update add to it.
G16 family 13: Memory (Zecher)
Adds a scaled combination of change and utility to the existing state. It is an accumulating trace; the source expression has no explicit decay.
G16 family 14: Policy
Adds a bounded utility contribution and subtracts an error penalty. The utility term can move the state in either direction, while nonnegative error lowers it.
G16 family 15: Coherence
Moves the state gradually toward a supplied stability target. The golden-ratio-conjugate factor makes the blending rate approximately 0.00618.
Golden basis function ψ0
This is basis component 0 of the documented 16-dimensional memory representation. It evaluates a sine and a cosine at the same golden-ratio-scaled frequency and adds them. The…
Golden basis function ψ1
This is basis component 1 of the documented 16-dimensional memory representation. It evaluates a sine and a cosine at the same golden-ratio-scaled frequency and adds them. The…
Golden basis function ψ2
This is basis component 2 of the documented 16-dimensional memory representation. It evaluates a sine and a cosine at the same golden-ratio-scaled frequency and adds them. The…
Golden basis function ψ3
This is basis component 3 of the documented 16-dimensional memory representation. It evaluates a sine and a cosine at the same golden-ratio-scaled frequency and adds them. The…
Golden basis function ψ4
This is basis component 4 of the documented 16-dimensional memory representation. It evaluates a sine and a cosine at the same golden-ratio-scaled frequency and adds them. The…
Golden basis function ψ5
This is basis component 5 of the documented 16-dimensional memory representation. It evaluates a sine and a cosine at the same golden-ratio-scaled frequency and adds them. The…
Golden basis function ψ6
This is basis component 6 of the documented 16-dimensional memory representation. It evaluates a sine and a cosine at the same golden-ratio-scaled frequency and adds them. The…
Golden basis function ψ7
This is basis component 7 of the documented 16-dimensional memory representation. It evaluates a sine and a cosine at the same golden-ratio-scaled frequency and adds them. The…
Golden basis function ψ8
This is basis component 8 of the documented 16-dimensional memory representation. It evaluates a sine and a cosine at the same golden-ratio-scaled frequency and adds them. The…
Golden basis function ψ9
This is basis component 9 of the documented 16-dimensional memory representation. It evaluates a sine and a cosine at the same golden-ratio-scaled frequency and adds them. The…
Golden basis function ψ10
This is basis component 10 of the documented 16-dimensional memory representation. It evaluates a sine and a cosine at the same golden-ratio-scaled frequency and adds them. The…
Golden basis function ψ11
This is basis component 11 of the documented 16-dimensional memory representation. It evaluates a sine and a cosine at the same golden-ratio-scaled frequency and adds them. The…
Golden basis function ψ12
This is basis component 12 of the documented 16-dimensional memory representation. It evaluates a sine and a cosine at the same golden-ratio-scaled frequency and adds them. The…
Golden basis function ψ13
This is basis component 13 of the documented 16-dimensional memory representation. It evaluates a sine and a cosine at the same golden-ratio-scaled frequency and adds them. The…
Golden basis function ψ14
This is basis component 14 of the documented 16-dimensional memory representation. It evaluates a sine and a cosine at the same golden-ratio-scaled frequency and adds them. The…
Golden basis function ψ15
This is basis component 15 of the documented 16-dimensional memory representation. It evaluates a sine and a cosine at the same golden-ratio-scaled frequency and adds them. The…
Core component 0 · source equation 103
This page expands core generator index i=0, corresponding to the source’s numbered component 103. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 1 · source equation 104
This page expands core generator index i=1, corresponding to the source’s numbered component 104. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 2 · source equation 105
This page expands core generator index i=2, corresponding to the source’s numbered component 105. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 3 · source equation 106
This page expands core generator index i=3, corresponding to the source’s numbered component 106. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 4 · source equation 107
This page expands core generator index i=4, corresponding to the source’s numbered component 107. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 5 · source equation 108
This page expands core generator index i=5, corresponding to the source’s numbered component 108. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 6 · source equation 109
This page expands core generator index i=6, corresponding to the source’s numbered component 109. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 7 · source equation 110
This page expands core generator index i=7, corresponding to the source’s numbered component 110. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 8 · source equation 111
This page expands core generator index i=8, corresponding to the source’s numbered component 111. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 9 · source equation 112
This page expands core generator index i=9, corresponding to the source’s numbered component 112. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 10 · source equation 113
This page expands core generator index i=10, corresponding to the source’s numbered component 113. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 11 · source equation 114
This page expands core generator index i=11, corresponding to the source’s numbered component 114. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 12 · source equation 115
This page expands core generator index i=12, corresponding to the source’s numbered component 115. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 13 · source equation 116
This page expands core generator index i=13, corresponding to the source’s numbered component 116. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 14 · source equation 117
This page expands core generator index i=14, corresponding to the source’s numbered component 117. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 15 · source equation 118
This page expands core generator index i=15, corresponding to the source’s numbered component 118. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 16 · source equation 119
This page expands core generator index i=16, corresponding to the source’s numbered component 119. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 17 · source equation 120
This page expands core generator index i=17, corresponding to the source’s numbered component 120. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 18 · source equation 121
This page expands core generator index i=18, corresponding to the source’s numbered component 121. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 19 · source equation 122
This page expands core generator index i=19, corresponding to the source’s numbered component 122. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 20 · source equation 123
This page expands core generator index i=20, corresponding to the source’s numbered component 123. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 21 · source equation 124
This page expands core generator index i=21, corresponding to the source’s numbered component 124. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 22 · source equation 125
This page expands core generator index i=22, corresponding to the source’s numbered component 125. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 23 · source equation 126
This page expands core generator index i=23, corresponding to the source’s numbered component 126. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 24 · source equation 127
This page expands core generator index i=24, corresponding to the source’s numbered component 127. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 25 · source equation 128
This page expands core generator index i=25, corresponding to the source’s numbered component 128. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 26 · source equation 129
This page expands core generator index i=26, corresponding to the source’s numbered component 129. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 27 · source equation 130
This page expands core generator index i=27, corresponding to the source’s numbered component 130. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 28 · source equation 131
This page expands core generator index i=28, corresponding to the source’s numbered component 131. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 29 · source equation 132
This page expands core generator index i=29, corresponding to the source’s numbered component 132. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 30 · source equation 133
This page expands core generator index i=30, corresponding to the source’s numbered component 133. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 31 · source equation 134
This page expands core generator index i=31, corresponding to the source’s numbered component 134. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 32 · source equation 135
This page expands core generator index i=32, corresponding to the source’s numbered component 135. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 33 · source equation 136
This page expands core generator index i=33, corresponding to the source’s numbered component 136. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 34 · source equation 137
This page expands core generator index i=34, corresponding to the source’s numbered component 137. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 35 · source equation 138
This page expands core generator index i=35, corresponding to the source’s numbered component 138. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 36 · source equation 139
This page expands core generator index i=36, corresponding to the source’s numbered component 139. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 37 · source equation 140
This page expands core generator index i=37, corresponding to the source’s numbered component 140. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 38 · source equation 141
This page expands core generator index i=38, corresponding to the source’s numbered component 141. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 39 · source equation 142
This page expands core generator index i=39, corresponding to the source’s numbered component 142. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 40 · source equation 143
This page expands core generator index i=40, corresponding to the source’s numbered component 143. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 41 · source equation 144
This page expands core generator index i=41, corresponding to the source’s numbered component 144. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 42 · source equation 145
This page expands core generator index i=42, corresponding to the source’s numbered component 145. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 43 · source equation 146
This page expands core generator index i=43, corresponding to the source’s numbered component 146. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 44 · source equation 147
This page expands core generator index i=44, corresponding to the source’s numbered component 147. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 45 · source equation 148
This page expands core generator index i=45, corresponding to the source’s numbered component 148. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 46 · source equation 149
This page expands core generator index i=46, corresponding to the source’s numbered component 149. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 47 · source equation 150
This page expands core generator index i=47, corresponding to the source’s numbered component 150. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 48 · source equation 151
This page expands core generator index i=48, corresponding to the source’s numbered component 151. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 49 · source equation 152
This page expands core generator index i=49, corresponding to the source’s numbered component 152. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 50 · source equation 153
This page expands core generator index i=50, corresponding to the source’s numbered component 153. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 51 · source equation 154
This page expands core generator index i=51, corresponding to the source’s numbered component 154. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 52 · source equation 155
This page expands core generator index i=52, corresponding to the source’s numbered component 155. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 53 · source equation 156
This page expands core generator index i=53, corresponding to the source’s numbered component 156. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 54 · source equation 157
This page expands core generator index i=54, corresponding to the source’s numbered component 157. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 55 · source equation 158
This page expands core generator index i=55, corresponding to the source’s numbered component 158. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 56 · source equation 159
This page expands core generator index i=56, corresponding to the source’s numbered component 159. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 57 · source equation 160
This page expands core generator index i=57, corresponding to the source’s numbered component 160. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 58 · source equation 161
This page expands core generator index i=58, corresponding to the source’s numbered component 161. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 59 · source equation 162
This page expands core generator index i=59, corresponding to the source’s numbered component 162. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 60 · source equation 163
This page expands core generator index i=60, corresponding to the source’s numbered component 163. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 61 · source equation 164
This page expands core generator index i=61, corresponding to the source’s numbered component 164. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 62 · source equation 165
This page expands core generator index i=62, corresponding to the source’s numbered component 165. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 63 · source equation 166
This page expands core generator index i=63, corresponding to the source’s numbered component 166. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 64 · source equation 167
This page expands core generator index i=64, corresponding to the source’s numbered component 167. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 65 · source equation 168
This page expands core generator index i=65, corresponding to the source’s numbered component 168. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 66 · source equation 169
This page expands core generator index i=66, corresponding to the source’s numbered component 169. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 67 · source equation 170
This page expands core generator index i=67, corresponding to the source’s numbered component 170. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 68 · source equation 171
This page expands core generator index i=68, corresponding to the source’s numbered component 171. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 69 · source equation 172
This page expands core generator index i=69, corresponding to the source’s numbered component 172. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 70 · source equation 173
This page expands core generator index i=70, corresponding to the source’s numbered component 173. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 71 · source equation 174
This page expands core generator index i=71, corresponding to the source’s numbered component 174. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 72 · source equation 175
This page expands core generator index i=72, corresponding to the source’s numbered component 175. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 73 · source equation 176
This page expands core generator index i=73, corresponding to the source’s numbered component 176. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 74 · source equation 177
This page expands core generator index i=74, corresponding to the source’s numbered component 177. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 75 · source equation 178
This page expands core generator index i=75, corresponding to the source’s numbered component 178. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 76 · source equation 179
This page expands core generator index i=76, corresponding to the source’s numbered component 179. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 77 · source equation 180
This page expands core generator index i=77, corresponding to the source’s numbered component 180. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 78 · source equation 181
This page expands core generator index i=78, corresponding to the source’s numbered component 181. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 79 · source equation 182
This page expands core generator index i=79, corresponding to the source’s numbered component 182. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 80 · source equation 183
This page expands core generator index i=80, corresponding to the source’s numbered component 183. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 81 · source equation 184
This page expands core generator index i=81, corresponding to the source’s numbered component 184. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 82 · source equation 185
This page expands core generator index i=82, corresponding to the source’s numbered component 185. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 83 · source equation 186
This page expands core generator index i=83, corresponding to the source’s numbered component 186. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 84 · source equation 187
This page expands core generator index i=84, corresponding to the source’s numbered component 187. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 85 · source equation 188
This page expands core generator index i=85, corresponding to the source’s numbered component 188. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 86 · source equation 189
This page expands core generator index i=86, corresponding to the source’s numbered component 189. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 87 · source equation 190
This page expands core generator index i=87, corresponding to the source’s numbered component 190. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 88 · source equation 191
This page expands core generator index i=88, corresponding to the source’s numbered component 191. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 89 · source equation 192
This page expands core generator index i=89, corresponding to the source’s numbered component 192. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 90 · source equation 193
This page expands core generator index i=90, corresponding to the source’s numbered component 193. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 91 · source equation 194
This page expands core generator index i=91, corresponding to the source’s numbered component 194. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 92 · source equation 195
This page expands core generator index i=92, corresponding to the source’s numbered component 195. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 93 · source equation 196
This page expands core generator index i=93, corresponding to the source’s numbered component 196. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 94 · source equation 197
This page expands core generator index i=94, corresponding to the source’s numbered component 197. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 95 · source equation 198
This page expands core generator index i=95, corresponding to the source’s numbered component 198. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 96 · source equation 199
This page expands core generator index i=96, corresponding to the source’s numbered component 199. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 97 · source equation 200
This page expands core generator index i=97, corresponding to the source’s numbered component 200. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 98 · source equation 201
This page expands core generator index i=98, corresponding to the source’s numbered component 201. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 99 · source equation 202
This page expands core generator index i=99, corresponding to the source’s numbered component 202. The source sets t from the index (i/32), combines sine and cosine carrier terms,…
Core component 100 · source equation 203
This page expands core generator index i=100, corresponding to the source’s numbered component 203. The source sets t from the index (i/32), combines sine and cosine carrier…
Core component 101 · source equation 204
This page expands core generator index i=101, corresponding to the source’s numbered component 204. The source sets t from the index (i/32), combines sine and cosine carrier…
Core component 102 · source equation 205
This page expands core generator index i=102, corresponding to the source’s numbered component 205. The source sets t from the index (i/32), combines sine and cosine carrier…
Core component 103 · source equation 206
This page expands core generator index i=103, corresponding to the source’s numbered component 206. The source sets t from the index (i/32), combines sine and cosine carrier…
Core component 104 · source equation 207
This page expands core generator index i=104, corresponding to the source’s numbered component 207. The source sets t from the index (i/32), combines sine and cosine carrier…
Core component 105 · source equation 208
This page expands core generator index i=105, corresponding to the source’s numbered component 208. The source sets t from the index (i/32), combines sine and cosine carrier…
Core component 106 · source equation 209
This page expands core generator index i=106, corresponding to the source’s numbered component 209. The source sets t from the index (i/32), combines sine and cosine carrier…
Core component 107 · source equation 210
This page expands core generator index i=107, corresponding to the source’s numbered component 210. The source sets t from the index (i/32), combines sine and cosine carrier…
Core component 108 · source equation 211
This page expands core generator index i=108, corresponding to the source’s numbered component 211. The source sets t from the index (i/32), combines sine and cosine carrier…
Core component 109 · source equation 212
This page expands core generator index i=109, corresponding to the source’s numbered component 212. The source sets t from the index (i/32), combines sine and cosine carrier…
Core component 110 · source equation 213
This page expands core generator index i=110, corresponding to the source’s numbered component 213. The source sets t from the index (i/32), combines sine and cosine carrier…
Core component 111 · source equation 214
This page expands core generator index i=111, corresponding to the source’s numbered component 214. The source sets t from the index (i/32), combines sine and cosine carrier…
Core component 112 · source equation 215
This page expands core generator index i=112, corresponding to the source’s numbered component 215. The source sets t from the index (i/32), combines sine and cosine carrier…
Core component 113 · source equation 216
This page expands core generator index i=113, corresponding to the source’s numbered component 216. The source sets t from the index (i/32), combines sine and cosine carrier…
Core component 114 · source equation 217
This page expands core generator index i=114, corresponding to the source’s numbered component 217. The source sets t from the index (i/32), combines sine and cosine carrier…
Core component 115 · source equation 218
This page expands core generator index i=115, corresponding to the source’s numbered component 218. The source sets t from the index (i/32), combines sine and cosine carrier…
Core component 116 · source equation 219
This page expands core generator index i=116, corresponding to the source’s numbered component 219. The source sets t from the index (i/32), combines sine and cosine carrier…
Core component 117 · source equation 220
This page expands core generator index i=117, corresponding to the source’s numbered component 220. The source sets t from the index (i/32), combines sine and cosine carrier…
Core component 118 · source equation 221
This page expands core generator index i=118, corresponding to the source’s numbered component 221. The source sets t from the index (i/32), combines sine and cosine carrier…
Core component 119 · source equation 222
This page expands core generator index i=119, corresponding to the source’s numbered component 222. The source sets t from the index (i/32), combines sine and cosine carrier…
Core component 120 · source equation 223
This page expands core generator index i=120, corresponding to the source’s numbered component 223. The source sets t from the index (i/32), combines sine and cosine carrier…
Core component 121 · source equation 224
This page expands core generator index i=121, corresponding to the source’s numbered component 224. The source sets t from the index (i/32), combines sine and cosine carrier…
Core component 122 · source equation 225
This page expands core generator index i=122, corresponding to the source’s numbered component 225. The source sets t from the index (i/32), combines sine and cosine carrier…
Core component 123 · source equation 226
This page expands core generator index i=123, corresponding to the source’s numbered component 226. The source sets t from the index (i/32), combines sine and cosine carrier…
Core component 124 · source equation 227
This page expands core generator index i=124, corresponding to the source’s numbered component 227. The source sets t from the index (i/32), combines sine and cosine carrier…
Core component 125 · source equation 228
This page expands core generator index i=125, corresponding to the source’s numbered component 228. The source sets t from the index (i/32), combines sine and cosine carrier…
Core component 126 · source equation 229
This page expands core generator index i=126, corresponding to the source’s numbered component 229. The source sets t from the index (i/32), combines sine and cosine carrier…
Core component 127 · source equation 230
This page expands core generator index i=127, corresponding to the source’s numbered component 230. The source sets t from the index (i/32), combines sine and cosine carrier…
Core component 128 · source equation 231
This page expands core generator index i=128, corresponding to the source’s numbered component 231. The source sets t from the index (i/32), combines sine and cosine carrier…
Core component 129 · source equation 232
This page expands core generator index i=129, corresponding to the source’s numbered component 232. The source sets t from the index (i/32), combines sine and cosine carrier…
Core component 130 · source equation 233
This page expands core generator index i=130, corresponding to the source’s numbered component 233. The source sets t from the index (i/32), combines sine and cosine carrier…
Core component 131 · source equation 234
This page expands core generator index i=131, corresponding to the source’s numbered component 234. The source sets t from the index (i/32), combines sine and cosine carrier…
Core component 132 · source equation 235
This page expands core generator index i=132, corresponding to the source’s numbered component 235. The source sets t from the index (i/32), combines sine and cosine carrier…
Core component 133 · source equation 236
This page expands core generator index i=133, corresponding to the source’s numbered component 236. The source sets t from the index (i/32), combines sine and cosine carrier…
Core component 134 · source equation 237
This page expands core generator index i=134, corresponding to the source’s numbered component 237. The source sets t from the index (i/32), combines sine and cosine carrier…
Core component 135 · source equation 238
This page expands core generator index i=135, corresponding to the source’s numbered component 238. The source sets t from the index (i/32), combines sine and cosine carrier…
Core component 136 · source equation 239
This page expands core generator index i=136, corresponding to the source’s numbered component 239. The source sets t from the index (i/32), combines sine and cosine carrier…
Core component 137 · source equation 240
This page expands core generator index i=137, corresponding to the source’s numbered component 240. The source sets t from the index (i/32), combines sine and cosine carrier…
Core component 138 · source equation 241
This page expands core generator index i=138, corresponding to the source’s numbered component 241. The source sets t from the index (i/32), combines sine and cosine carrier…
Core component 139 · source equation 242
This page expands core generator index i=139, corresponding to the source’s numbered component 242. The source sets t from the index (i/32), combines sine and cosine carrier…
Core component 140 · source equation 243
This page expands core generator index i=140, corresponding to the source’s numbered component 243. The source sets t from the index (i/32), combines sine and cosine carrier…
Core component 141 · source equation 244
This page expands core generator index i=141, corresponding to the source’s numbered component 244. The source sets t from the index (i/32), combines sine and cosine carrier…
Core component 142 · source equation 245
This page expands core generator index i=142, corresponding to the source’s numbered component 245. The source sets t from the index (i/32), combines sine and cosine carrier…
Core component 143 · source equation 246
This page expands core generator index i=143, corresponding to the source’s numbered component 246. The source sets t from the index (i/32), combines sine and cosine carrier…
Core component 144 · source equation 247
This page expands core generator index i=144, corresponding to the source’s numbered component 247. The source sets t from the index (i/32), combines sine and cosine carrier…
Core component 145 · source equation 248
This page expands core generator index i=145, corresponding to the source’s numbered component 248. The source sets t from the index (i/32), combines sine and cosine carrier…
Core component 146 · source equation 249
This page expands core generator index i=146, corresponding to the source’s numbered component 249. The source sets t from the index (i/32), combines sine and cosine carrier…
Core component 147 · source equation 250
This page expands core generator index i=147, corresponding to the source’s numbered component 250. The source sets t from the index (i/32), combines sine and cosine carrier…
Core component 148 · source equation 251
This page expands core generator index i=148, corresponding to the source’s numbered component 251. The source sets t from the index (i/32), combines sine and cosine carrier…
Core component 149 · source equation 252
This page expands core generator index i=149, corresponding to the source’s numbered component 252. The source sets t from the index (i/32), combines sine and cosine carrier…
Core component 150 · source equation 253
This page expands core generator index i=150, corresponding to the source’s numbered component 253. The source sets t from the index (i/32), combines sine and cosine carrier…
Core component 151 · source equation 254
This page expands core generator index i=151, corresponding to the source’s numbered component 254. The source sets t from the index (i/32), combines sine and cosine carrier…
Core component 152 · source equation 255
This page expands core generator index i=152, corresponding to the source’s numbered component 255. The source sets t from the index (i/32), combines sine and cosine carrier…
Core component 153 · source equation 256
This page expands core generator index i=153, corresponding to the source’s numbered component 256. The source sets t from the index (i/32), combines sine and cosine carrier…
Core component 154 · source equation 257
This page expands core generator index i=154, corresponding to the source’s numbered component 257. The source sets t from the index (i/32), combines sine and cosine carrier…
Core component 155 · source equation 258
This page expands core generator index i=155, corresponding to the source’s numbered component 258. The source sets t from the index (i/32), combines sine and cosine carrier…
Core component 156 · source equation 259
This page expands core generator index i=156, corresponding to the source’s numbered component 259. The source sets t from the index (i/32), combines sine and cosine carrier…
Core component 157 · source equation 260
This page expands core generator index i=157, corresponding to the source’s numbered component 260. The source sets t from the index (i/32), combines sine and cosine carrier…
Core component 158 · source equation 261
This page expands core generator index i=158, corresponding to the source’s numbered component 261. The source sets t from the index (i/32), combines sine and cosine carrier…
Core component 159 · source equation 262
This page expands core generator index i=159, corresponding to the source’s numbered component 262. The source sets t from the index (i/32), combines sine and cosine carrier…
Core component 160 · source equation 263
This page expands core generator index i=160, corresponding to the source’s numbered component 263. The source sets t from the index (i/32), combines sine and cosine carrier…
Core component 161 · source equation 264
This page expands core generator index i=161, corresponding to the source’s numbered component 264. The source sets t from the index (i/32), combines sine and cosine carrier…
Core component 162 · source equation 265
This page expands core generator index i=162, corresponding to the source’s numbered component 265. The source sets t from the index (i/32), combines sine and cosine carrier…
Core component 163 · source equation 266
This page expands core generator index i=163, corresponding to the source’s numbered component 266. The source sets t from the index (i/32), combines sine and cosine carrier…
Core component 164 · source equation 267
This page expands core generator index i=164, corresponding to the source’s numbered component 267. The source sets t from the index (i/32), combines sine and cosine carrier…
Core component 165 · source equation 268
This page expands core generator index i=165, corresponding to the source’s numbered component 268. The source sets t from the index (i/32), combines sine and cosine carrier…
Core component 166 · source equation 269
This page expands core generator index i=166, corresponding to the source’s numbered component 269. The source sets t from the index (i/32), combines sine and cosine carrier…
Core component 167 · source equation 270
This page expands core generator index i=167, corresponding to the source’s numbered component 270. The source sets t from the index (i/32), combines sine and cosine carrier…
Core component 168 · source equation 271
This page expands core generator index i=168, corresponding to the source’s numbered component 271. The source sets t from the index (i/32), combines sine and cosine carrier…
Core component 169 · source equation 272
This page expands core generator index i=169, corresponding to the source’s numbered component 272. The source sets t from the index (i/32), combines sine and cosine carrier…
Core component 170 · source equation 273
This page expands core generator index i=170, corresponding to the source’s numbered component 273. The source sets t from the index (i/32), combines sine and cosine carrier…
Core component 171 · source equation 274
This page expands core generator index i=171, corresponding to the source’s numbered component 274. The source sets t from the index (i/32), combines sine and cosine carrier…
Core component 172 · source equation 275
This page expands core generator index i=172, corresponding to the source’s numbered component 275. The source sets t from the index (i/32), combines sine and cosine carrier…
Core component 173 · source equation 276
This page expands core generator index i=173, corresponding to the source’s numbered component 276. The source sets t from the index (i/32), combines sine and cosine carrier…
Supplemental component 0 · source equation 277
This page substitutes i=0 into the supplemental generator, which the source numbers as equation 277. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 1 · source equation 278
This page substitutes i=1 into the supplemental generator, which the source numbers as equation 278. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 2 · source equation 279
This page substitutes i=2 into the supplemental generator, which the source numbers as equation 279. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 3 · source equation 280
This page substitutes i=3 into the supplemental generator, which the source numbers as equation 280. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 4 · source equation 281
This page substitutes i=4 into the supplemental generator, which the source numbers as equation 281. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 5 · source equation 282
This page substitutes i=5 into the supplemental generator, which the source numbers as equation 282. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 6 · source equation 283
This page substitutes i=6 into the supplemental generator, which the source numbers as equation 283. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 7 · source equation 284
This page substitutes i=7 into the supplemental generator, which the source numbers as equation 284. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 8 · source equation 285
This page substitutes i=8 into the supplemental generator, which the source numbers as equation 285. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 9 · source equation 286
This page substitutes i=9 into the supplemental generator, which the source numbers as equation 286. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 10 · source equation 287
This page substitutes i=10 into the supplemental generator, which the source numbers as equation 287. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 11 · source equation 288
This page substitutes i=11 into the supplemental generator, which the source numbers as equation 288. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 12 · source equation 289
This page substitutes i=12 into the supplemental generator, which the source numbers as equation 289. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 13 · source equation 290
This page substitutes i=13 into the supplemental generator, which the source numbers as equation 290. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 14 · source equation 291
This page substitutes i=14 into the supplemental generator, which the source numbers as equation 291. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 15 · source equation 292
This page substitutes i=15 into the supplemental generator, which the source numbers as equation 292. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 16 · source equation 293
This page substitutes i=16 into the supplemental generator, which the source numbers as equation 293. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 17 · source equation 294
This page substitutes i=17 into the supplemental generator, which the source numbers as equation 294. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 18 · source equation 295
This page substitutes i=18 into the supplemental generator, which the source numbers as equation 295. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 19 · source equation 296
This page substitutes i=19 into the supplemental generator, which the source numbers as equation 296. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 20 · source equation 297
This page substitutes i=20 into the supplemental generator, which the source numbers as equation 297. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 21 · source equation 298
This page substitutes i=21 into the supplemental generator, which the source numbers as equation 298. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 22 · source equation 299
This page substitutes i=22 into the supplemental generator, which the source numbers as equation 299. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 23 · source equation 300
This page substitutes i=23 into the supplemental generator, which the source numbers as equation 300. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 24 · source equation 301
This page substitutes i=24 into the supplemental generator, which the source numbers as equation 301. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 25 · source equation 302
This page substitutes i=25 into the supplemental generator, which the source numbers as equation 302. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 26 · source equation 303
This page substitutes i=26 into the supplemental generator, which the source numbers as equation 303. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 27 · source equation 304
This page substitutes i=27 into the supplemental generator, which the source numbers as equation 304. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 28 · source equation 305
This page substitutes i=28 into the supplemental generator, which the source numbers as equation 305. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 29 · source equation 306
This page substitutes i=29 into the supplemental generator, which the source numbers as equation 306. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 30 · source equation 307
This page substitutes i=30 into the supplemental generator, which the source numbers as equation 307. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 31 · source equation 308
This page substitutes i=31 into the supplemental generator, which the source numbers as equation 308. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 32 · source equation 309
This page substitutes i=32 into the supplemental generator, which the source numbers as equation 309. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 33 · source equation 310
This page substitutes i=33 into the supplemental generator, which the source numbers as equation 310. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 34 · source equation 311
This page substitutes i=34 into the supplemental generator, which the source numbers as equation 311. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 35 · source equation 312
This page substitutes i=35 into the supplemental generator, which the source numbers as equation 312. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 36 · source equation 313
This page substitutes i=36 into the supplemental generator, which the source numbers as equation 313. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 37 · source equation 314
This page substitutes i=37 into the supplemental generator, which the source numbers as equation 314. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 38 · source equation 315
This page substitutes i=38 into the supplemental generator, which the source numbers as equation 315. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 39 · source equation 316
This page substitutes i=39 into the supplemental generator, which the source numbers as equation 316. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 40 · source equation 317
This page substitutes i=40 into the supplemental generator, which the source numbers as equation 317. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 41 · source equation 318
This page substitutes i=41 into the supplemental generator, which the source numbers as equation 318. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 42 · source equation 319
This page substitutes i=42 into the supplemental generator, which the source numbers as equation 319. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 43 · source equation 320
This page substitutes i=43 into the supplemental generator, which the source numbers as equation 320. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 44 · source equation 321
This page substitutes i=44 into the supplemental generator, which the source numbers as equation 321. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 45 · source equation 322
This page substitutes i=45 into the supplemental generator, which the source numbers as equation 322. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 46 · source equation 323
This page substitutes i=46 into the supplemental generator, which the source numbers as equation 323. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 47 · source equation 324
This page substitutes i=47 into the supplemental generator, which the source numbers as equation 324. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 48 · source equation 325
This page substitutes i=48 into the supplemental generator, which the source numbers as equation 325. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 49 · source equation 326
This page substitutes i=49 into the supplemental generator, which the source numbers as equation 326. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 50 · source equation 327
This page substitutes i=50 into the supplemental generator, which the source numbers as equation 327. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 51 · source equation 328
This page substitutes i=51 into the supplemental generator, which the source numbers as equation 328. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 52 · source equation 329
This page substitutes i=52 into the supplemental generator, which the source numbers as equation 329. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 53 · source equation 330
This page substitutes i=53 into the supplemental generator, which the source numbers as equation 330. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 54 · source equation 331
This page substitutes i=54 into the supplemental generator, which the source numbers as equation 331. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 55 · source equation 332
This page substitutes i=55 into the supplemental generator, which the source numbers as equation 332. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 56 · source equation 333
This page substitutes i=56 into the supplemental generator, which the source numbers as equation 333. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 57 · source equation 334
This page substitutes i=57 into the supplemental generator, which the source numbers as equation 334. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 58 · source equation 335
This page substitutes i=58 into the supplemental generator, which the source numbers as equation 335. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 59 · source equation 336
This page substitutes i=59 into the supplemental generator, which the source numbers as equation 336. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 60 · source equation 337
This page substitutes i=60 into the supplemental generator, which the source numbers as equation 337. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 61 · source equation 338
This page substitutes i=61 into the supplemental generator, which the source numbers as equation 338. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 62 · source equation 339
This page substitutes i=62 into the supplemental generator, which the source numbers as equation 339. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 63 · source equation 340
This page substitutes i=63 into the supplemental generator, which the source numbers as equation 340. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 64 · source equation 341
This page substitutes i=64 into the supplemental generator, which the source numbers as equation 341. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 65 · source equation 342
This page substitutes i=65 into the supplemental generator, which the source numbers as equation 342. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 66 · source equation 343
This page substitutes i=66 into the supplemental generator, which the source numbers as equation 343. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 67 · source equation 344
This page substitutes i=67 into the supplemental generator, which the source numbers as equation 344. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 68 · source equation 345
This page substitutes i=68 into the supplemental generator, which the source numbers as equation 345. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 69 · source equation 346
This page substitutes i=69 into the supplemental generator, which the source numbers as equation 346. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 70 · source equation 347
This page substitutes i=70 into the supplemental generator, which the source numbers as equation 347. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 71 · source equation 348
This page substitutes i=71 into the supplemental generator, which the source numbers as equation 348. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 72 · source equation 349
This page substitutes i=72 into the supplemental generator, which the source numbers as equation 349. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 73 · source equation 350
This page substitutes i=73 into the supplemental generator, which the source numbers as equation 350. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 74 · source equation 351
This page substitutes i=74 into the supplemental generator, which the source numbers as equation 351. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 75 · source equation 352
This page substitutes i=75 into the supplemental generator, which the source numbers as equation 352. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 76 · source equation 353
This page substitutes i=76 into the supplemental generator, which the source numbers as equation 353. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 77 · source equation 354
This page substitutes i=77 into the supplemental generator, which the source numbers as equation 354. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 78 · source equation 355
This page substitutes i=78 into the supplemental generator, which the source numbers as equation 355. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 79 · source equation 356
This page substitutes i=79 into the supplemental generator, which the source numbers as equation 356. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 80 · source equation 357
This page substitutes i=80 into the supplemental generator, which the source numbers as equation 357. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 81 · source equation 358
This page substitutes i=81 into the supplemental generator, which the source numbers as equation 358. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 82 · source equation 359
This page substitutes i=82 into the supplemental generator, which the source numbers as equation 359. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 83 · source equation 360
This page substitutes i=83 into the supplemental generator, which the source numbers as equation 360. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 84 · source equation 361
This page substitutes i=84 into the supplemental generator, which the source numbers as equation 361. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 85 · source equation 362
This page substitutes i=85 into the supplemental generator, which the source numbers as equation 362. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 86 · source equation 363
This page substitutes i=86 into the supplemental generator, which the source numbers as equation 363. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 87 · source equation 364
This page substitutes i=87 into the supplemental generator, which the source numbers as equation 364. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 88 · source equation 365
This page substitutes i=88 into the supplemental generator, which the source numbers as equation 365. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 89 · source equation 366
This page substitutes i=89 into the supplemental generator, which the source numbers as equation 366. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 90 · source equation 367
This page substitutes i=90 into the supplemental generator, which the source numbers as equation 367. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 91 · source equation 368
This page substitutes i=91 into the supplemental generator, which the source numbers as equation 368. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 92 · source equation 369
This page substitutes i=92 into the supplemental generator, which the source numbers as equation 369. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 93 · source equation 370
This page substitutes i=93 into the supplemental generator, which the source numbers as equation 370. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 94 · source equation 371
This page substitutes i=94 into the supplemental generator, which the source numbers as equation 371. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 95 · source equation 372
This page substitutes i=95 into the supplemental generator, which the source numbers as equation 372. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 96 · source equation 373
This page substitutes i=96 into the supplemental generator, which the source numbers as equation 373. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 97 · source equation 374
This page substitutes i=97 into the supplemental generator, which the source numbers as equation 374. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 98 · source equation 375
This page substitutes i=98 into the supplemental generator, which the source numbers as equation 375. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 99 · source equation 376
This page substitutes i=99 into the supplemental generator, which the source numbers as equation 376. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 100 · source equation 377
This page substitutes i=100 into the supplemental generator, which the source numbers as equation 377. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 101 · source equation 378
This page substitutes i=101 into the supplemental generator, which the source numbers as equation 378. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 102 · source equation 379
This page substitutes i=102 into the supplemental generator, which the source numbers as equation 379. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 103 · source equation 380
This page substitutes i=103 into the supplemental generator, which the source numbers as equation 380. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 104 · source equation 381
This page substitutes i=104 into the supplemental generator, which the source numbers as equation 381. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 105 · source equation 382
This page substitutes i=105 into the supplemental generator, which the source numbers as equation 382. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 106 · source equation 383
This page substitutes i=106 into the supplemental generator, which the source numbers as equation 383. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 107 · source equation 384
This page substitutes i=107 into the supplemental generator, which the source numbers as equation 384. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 108 · source equation 385
This page substitutes i=108 into the supplemental generator, which the source numbers as equation 385. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 109 · source equation 386
This page substitutes i=109 into the supplemental generator, which the source numbers as equation 386. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 110 · source equation 387
This page substitutes i=110 into the supplemental generator, which the source numbers as equation 387. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 111 · source equation 388
This page substitutes i=111 into the supplemental generator, which the source numbers as equation 388. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 112 · source equation 389
This page substitutes i=112 into the supplemental generator, which the source numbers as equation 389. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 113 · source equation 390
This page substitutes i=113 into the supplemental generator, which the source numbers as equation 390. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 114 · source equation 391
This page substitutes i=114 into the supplemental generator, which the source numbers as equation 391. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 115 · source equation 392
This page substitutes i=115 into the supplemental generator, which the source numbers as equation 392. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 116 · source equation 393
This page substitutes i=116 into the supplemental generator, which the source numbers as equation 393. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 117 · source equation 394
This page substitutes i=117 into the supplemental generator, which the source numbers as equation 394. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 118 · source equation 395
This page substitutes i=118 into the supplemental generator, which the source numbers as equation 395. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 119 · source equation 396
This page substitutes i=119 into the supplemental generator, which the source numbers as equation 396. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 120 · source equation 397
This page substitutes i=120 into the supplemental generator, which the source numbers as equation 397. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 121 · source equation 398
This page substitutes i=121 into the supplemental generator, which the source numbers as equation 398. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 122 · source equation 399
This page substitutes i=122 into the supplemental generator, which the source numbers as equation 399. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 123 · source equation 400
This page substitutes i=123 into the supplemental generator, which the source numbers as equation 400. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 124 · source equation 401
This page substitutes i=124 into the supplemental generator, which the source numbers as equation 401. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 125 · source equation 402
This page substitutes i=125 into the supplemental generator, which the source numbers as equation 402. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 126 · source equation 403
This page substitutes i=126 into the supplemental generator, which the source numbers as equation 403. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 127 · source equation 404
This page substitutes i=127 into the supplemental generator, which the source numbers as equation 404. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 128 · source equation 405
This page substitutes i=128 into the supplemental generator, which the source numbers as equation 405. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 129 · source equation 406
This page substitutes i=129 into the supplemental generator, which the source numbers as equation 406. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 130 · source equation 407
This page substitutes i=130 into the supplemental generator, which the source numbers as equation 407. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 131 · source equation 408
This page substitutes i=131 into the supplemental generator, which the source numbers as equation 408. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 132 · source equation 409
This page substitutes i=132 into the supplemental generator, which the source numbers as equation 409. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 133 · source equation 410
This page substitutes i=133 into the supplemental generator, which the source numbers as equation 410. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 134 · source equation 411
This page substitutes i=134 into the supplemental generator, which the source numbers as equation 411. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 135 · source equation 412
This page substitutes i=135 into the supplemental generator, which the source numbers as equation 412. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 136 · source equation 413
This page substitutes i=136 into the supplemental generator, which the source numbers as equation 413. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 137 · source equation 414
This page substitutes i=137 into the supplemental generator, which the source numbers as equation 414. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 138 · source equation 415
This page substitutes i=138 into the supplemental generator, which the source numbers as equation 415. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 139 · source equation 416
This page substitutes i=139 into the supplemental generator, which the source numbers as equation 416. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 140 · source equation 417
This page substitutes i=140 into the supplemental generator, which the source numbers as equation 417. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 141 · source equation 418
This page substitutes i=141 into the supplemental generator, which the source numbers as equation 418. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 142 · source equation 419
This page substitutes i=142 into the supplemental generator, which the source numbers as equation 419. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 143 · source equation 420
This page substitutes i=143 into the supplemental generator, which the source numbers as equation 420. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 144 · source equation 421
This page substitutes i=144 into the supplemental generator, which the source numbers as equation 421. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 145 · source equation 422
This page substitutes i=145 into the supplemental generator, which the source numbers as equation 422. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 146 · source equation 423
This page substitutes i=146 into the supplemental generator, which the source numbers as equation 423. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 147 · source equation 424
This page substitutes i=147 into the supplemental generator, which the source numbers as equation 424. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 148 · source equation 425
This page substitutes i=148 into the supplemental generator, which the source numbers as equation 425. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 149 · source equation 426
This page substitutes i=149 into the supplemental generator, which the source numbers as equation 426. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 150 · source equation 427
This page substitutes i=150 into the supplemental generator, which the source numbers as equation 427. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 151 · source equation 428
This page substitutes i=151 into the supplemental generator, which the source numbers as equation 428. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 152 · source equation 429
This page substitutes i=152 into the supplemental generator, which the source numbers as equation 429. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 153 · source equation 430
This page substitutes i=153 into the supplemental generator, which the source numbers as equation 430. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 154 · source equation 431
This page substitutes i=154 into the supplemental generator, which the source numbers as equation 431. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 155 · source equation 432
This page substitutes i=155 into the supplemental generator, which the source numbers as equation 432. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 156 · source equation 433
This page substitutes i=156 into the supplemental generator, which the source numbers as equation 433. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 157 · source equation 434
This page substitutes i=157 into the supplemental generator, which the source numbers as equation 434. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 158 · source equation 435
This page substitutes i=158 into the supplemental generator, which the source numbers as equation 435. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 159 · source equation 436
This page substitutes i=159 into the supplemental generator, which the source numbers as equation 436. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 160 · source equation 437
This page substitutes i=160 into the supplemental generator, which the source numbers as equation 437. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 161 · source equation 438
This page substitutes i=161 into the supplemental generator, which the source numbers as equation 438. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 162 · source equation 439
This page substitutes i=162 into the supplemental generator, which the source numbers as equation 439. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 163 · source equation 440
This page substitutes i=163 into the supplemental generator, which the source numbers as equation 440. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 164 · source equation 441
This page substitutes i=164 into the supplemental generator, which the source numbers as equation 441. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 165 · source equation 442
This page substitutes i=165 into the supplemental generator, which the source numbers as equation 442. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 166 · source equation 443
This page substitutes i=166 into the supplemental generator, which the source numbers as equation 443. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 167 · source equation 444
This page substitutes i=167 into the supplemental generator, which the source numbers as equation 444. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 168 · source equation 445
This page substitutes i=168 into the supplemental generator, which the source numbers as equation 445. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 169 · source equation 446
This page substitutes i=169 into the supplemental generator, which the source numbers as equation 446. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 170 · source equation 447
This page substitutes i=170 into the supplemental generator, which the source numbers as equation 447. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 171 · source equation 448
This page substitutes i=171 into the supplemental generator, which the source numbers as equation 448. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 172 · source equation 449
This page substitutes i=172 into the supplemental generator, which the source numbers as equation 449. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 173 · source equation 450
This page substitutes i=173 into the supplemental generator, which the source numbers as equation 450. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 174 · source equation 451
This page substitutes i=174 into the supplemental generator, which the source numbers as equation 451. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 175 · source equation 452
This page substitutes i=175 into the supplemental generator, which the source numbers as equation 452. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 176 · source equation 453
This page substitutes i=176 into the supplemental generator, which the source numbers as equation 453. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 177 · source equation 454
This page substitutes i=177 into the supplemental generator, which the source numbers as equation 454. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 178 · source equation 455
This page substitutes i=178 into the supplemental generator, which the source numbers as equation 455. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 179 · source equation 456
This page substitutes i=179 into the supplemental generator, which the source numbers as equation 456. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 180 · source equation 457
This page substitutes i=180 into the supplemental generator, which the source numbers as equation 457. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 181 · source equation 458
This page substitutes i=181 into the supplemental generator, which the source numbers as equation 458. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 182 · source equation 459
This page substitutes i=182 into the supplemental generator, which the source numbers as equation 459. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 183 · source equation 460
This page substitutes i=183 into the supplemental generator, which the source numbers as equation 460. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 184 · source equation 461
This page substitutes i=184 into the supplemental generator, which the source numbers as equation 461. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 185 · source equation 462
This page substitutes i=185 into the supplemental generator, which the source numbers as equation 462. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 186 · source equation 463
This page substitutes i=186 into the supplemental generator, which the source numbers as equation 463. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 187 · source equation 464
This page substitutes i=187 into the supplemental generator, which the source numbers as equation 464. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 188 · source equation 465
This page substitutes i=188 into the supplemental generator, which the source numbers as equation 465. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 189 · source equation 466
This page substitutes i=189 into the supplemental generator, which the source numbers as equation 466. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 190 · source equation 467
This page substitutes i=190 into the supplemental generator, which the source numbers as equation 467. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 191 · source equation 468
This page substitutes i=191 into the supplemental generator, which the source numbers as equation 468. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 192 · source equation 469
This page substitutes i=192 into the supplemental generator, which the source numbers as equation 469. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 193 · source equation 470
This page substitutes i=193 into the supplemental generator, which the source numbers as equation 470. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 194 · source equation 471
This page substitutes i=194 into the supplemental generator, which the source numbers as equation 471. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 195 · source equation 472
This page substitutes i=195 into the supplemental generator, which the source numbers as equation 472. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 196 · source equation 473
This page substitutes i=196 into the supplemental generator, which the source numbers as equation 473. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 197 · source equation 474
This page substitutes i=197 into the supplemental generator, which the source numbers as equation 474. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 198 · source equation 475
This page substitutes i=198 into the supplemental generator, which the source numbers as equation 475. It averages a sine term, a cosine term and a sine–cosine product. The result…
Supplemental component 199 · source equation 476
This page substitutes i=199 into the supplemental generator, which the source numbers as equation 476. It averages a sine term, a cosine term and a sine–cosine product. The result…
Golden-ratio constant
Defines the constant used in phase, feature and normalization formulas. Its value is approximately 1.61803398875.
Neural input with noise
Adds a Gaussian noise term to the external input. The source does not specify whether 0.1 denotes variance or standard deviation, so the implementation must make that convention…
Neural velocity with damping
Adds the recent activation difference to velocity and removes 1% of the previous velocity. The algebra expresses an update, so old/new labels are displayed to make assignment…
Combined neural drive
Combines input scaled by unused activation capacity, a velocity term and a coupling term. The coefficients fix their relative contribution in this source version.
Potential-sensitive gate
Transforms a shifted and scaled potential signal through a logistic function and adds a 0.05 floor. The gate therefore lies strictly between 0.05 and 1.05 for finite real inputs.
Activation change
Applies the gate to the combined drive and adds a restoring term toward activation 0.5. The sign and scale of the drive still determine the direction of the overall update.
Clipped activation update
Takes an explicit step of size 0.01 and clips the result to the interval [0,1]. Clipping bounds this stored activation even when the unclipped increment would move outside the…
Clipped potential update
Retains 95% of the potential, adds an input–velocity interaction, subtracts a quadratic term and clips to [0,1]. This is a source-defined state update, not a direct measurement of…
Neural coupling update
Updates coupling from a potential-driven contribution and a restoring contribution involving k_c. Its stability depends on P, k_c and the rest of the update ordering.
Aggregate potential score
Averages the 88 agent potential values. The source calls this value “Consciousness”; operationally the expression is an arithmetic mean of model states.
Lattice forward transform
Applies a weighted affine transform followed by tanh. Each output is bounded between −1 and 1 for finite real arguments.
Hebbian weight increment
Changes a connection in proportion to a learning-rate factor and the product of post- and presynaptic values. It is an outer-product update; without additional normalization it…
Lattice state blend
Blends the old strand state with the sum of its transformed signal and core feature. It is distinct from the later global aggregation metric.
Energy accumulator
Smooths the absolute value of the sum of strand states. Taking the absolute value after summation allows positive and negative components to cancel first. The source’s word energy…
Local strand integration score
Compresses the strand energy accumulator through tanh. For nonnegative E the result lies in [0,1); it summarizes the accumulator and does not perform a partition search.
Global aggregate state score
Applies tanh to the mean of the 256 strand coordinates. It is a dimensionless aggregate state metric. The source explicitly distinguishes this value from IIT’s partition-based Φ.
Meta-state squared norm
Sums the squares of the 16 components of the meta-state vector. This nonnegative scalar measures vector magnitude.
Golden-ratio state normalization
Produces a factor in (0,1] that decreases as the squared state norm grows. The coefficient is used as a soft attenuation factor in the final state update.
Final normalized state
Multiplies the intermediate triple-prime state by the normalization coefficient. The upstream meaning of the triple-prime state is only partly summarized in this specification.
Binding-field assembly
Concatenates 174 core values and 200 supplemental values into a 374-entry field. This equation describes array assembly; it does not establish interaction or causal integration…
Unified binding-field score
Sums component magnitudes and maps that nonnegative sum to a saturating score. Larger magnitudes drive the score toward one. In this formula, the score can increase without…
DNA memory learning rule
Blends each old memory coefficient with a weighted basis feature of a normalized item hash. Importance is transformed by Φ before scaling the feature. The 16 coefficients form a…
DNA memory query score
Computes an inner product between stored coefficients and basis features of the query hash. This is a retrieval score in the source representation, not a reconstruction of the…
Unity importance weighting
Gives weight one at x=1 and decreases as the distance from one grows. The expression is positive and bounded by one for finite real x, with a cusp at x=1.
Agent-vector coherence
Computes cosine similarity between two agent knowledge vectors. It measures their directional alignment, with values from −1 to 1 when both vectors are nonzero.
DNA phase increment
Advances the phase by the source’s fixed decimal step and wraps it into [0,1). The source’s separate approximation of this decimal by 1/φ³ is numerically inconsistent.
Fibonacci phase increment
Rotates the phase by the reciprocal golden ratio and wraps it modulo one. The ideal real-valued recurrence and its finite-precision implementation have different repetition…
Combined phase bias
Combines the two phases through the fractional part and recenters the result around zero. Its range is [−0.5,0.5).
Gate flip decision
Turns the sign of the combined phase bias into a binary flip flag. A bias equal to zero produces zero under the source’s strict inequality.
Gate5000 binary transition
Applies XOR with the input bit and phase flip, then masks to one bit. Given fixed inputs and flip, XOR is reversible on a single bit; the complete system’s reversibility also…
Federation cross-talk ODE
Combines local decay with coherence-weighted input from other agent signals. Tanh bounds each received signal, while overall stability depends on the weights and coupling…
Clipped federation integration step
Takes an explicit Euler step of the federation ODE and clips the stored signal to [0,1]. Clipping bounds the stored value but is not a proof that the unprojected ODE is stable.
Mean pairwise federation coherence
Averages the similarity values of all unordered distinct agent pairs. It requires at least two agents and well-defined pairwise similarities.
MEGAMIND source index 2: Fundamental constants
The technical specification reserves equation number 2 in its Fundamental constants group. The recovered text does not supply an unambiguous formula-to-number mapping for this…
MEGAMIND source index 3: Fundamental constants
The technical specification reserves equation number 3 in its Fundamental constants group. The recovered text does not supply an unambiguous formula-to-number mapping for this…
MEGAMIND source index 4: Unspecified in printed index
The technical specification reserves equation number 4 in its Unspecified in printed index group. The recovered text does not supply an unambiguous formula-to-number mapping for…
MEGAMIND source index 5: Unspecified in printed index
The technical specification reserves equation number 5 in its Unspecified in printed index group. The recovered text does not supply an unambiguous formula-to-number mapping for…
MEGAMIND source index 6: Unspecified in printed index
The technical specification reserves equation number 6 in its Unspecified in printed index group. The recovered text does not supply an unambiguous formula-to-number mapping for…
MEGAMIND source index 7: Unspecified in printed index
The technical specification reserves equation number 7 in its Unspecified in printed index group. The recovered text does not supply an unambiguous formula-to-number mapping for…
MEGAMIND source index 8: Unspecified in printed index
The technical specification reserves equation number 8 in its Unspecified in printed index group. The recovered text does not supply an unambiguous formula-to-number mapping for…
MEGAMIND source index 9: Unspecified in printed index
The technical specification reserves equation number 9 in its Unspecified in printed index group. The recovered text does not supply an unambiguous formula-to-number mapping for…
MEGAMIND source index 10: Unspecified in printed index
The technical specification reserves equation number 10 in its Unspecified in printed index group. The recovered text does not supply an unambiguous formula-to-number mapping for…
MEGAMIND source index 11: Unspecified in printed index
The technical specification reserves equation number 11 in its Unspecified in printed index group. The recovered text does not supply an unambiguous formula-to-number mapping for…
MEGAMIND source index 12: Unspecified in printed index
The technical specification reserves equation number 12 in its Unspecified in printed index group. The recovered text does not supply an unambiguous formula-to-number mapping for…
MEGAMIND source index 13: Unspecified in printed index
The technical specification reserves equation number 13 in its Unspecified in printed index group. The recovered text does not supply an unambiguous formula-to-number mapping for…
MEGAMIND source index 14: Unspecified in printed index
The technical specification reserves equation number 14 in its Unspecified in printed index group. The recovered text does not supply an unambiguous formula-to-number mapping for…
MEGAMIND source index 15: Unspecified in printed index
The technical specification reserves equation number 15 in its Unspecified in printed index group. The recovered text does not supply an unambiguous formula-to-number mapping for…
MEGAMIND source index 16: Golden basis functions
The technical specification reserves equation number 16 in its Golden basis functions group. The recovered text does not supply an unambiguous formula-to-number mapping for this…
MEGAMIND source index 17: Golden basis functions
The technical specification reserves equation number 17 in its Golden basis functions group. The recovered text does not supply an unambiguous formula-to-number mapping for this…
MEGAMIND source index 18: Golden basis functions
The technical specification reserves equation number 18 in its Golden basis functions group. The recovered text does not supply an unambiguous formula-to-number mapping for this…
MEGAMIND source index 19: Golden basis functions
The technical specification reserves equation number 19 in its Golden basis functions group. The recovered text does not supply an unambiguous formula-to-number mapping for this…
MEGAMIND source index 20: Golden basis functions
The technical specification reserves equation number 20 in its Golden basis functions group. The recovered text does not supply an unambiguous formula-to-number mapping for this…
MEGAMIND source index 21: Golden basis functions
The technical specification reserves equation number 21 in its Golden basis functions group. The recovered text does not supply an unambiguous formula-to-number mapping for this…
MEGAMIND source index 22: Golden basis functions
The technical specification reserves equation number 22 in its Golden basis functions group. The recovered text does not supply an unambiguous formula-to-number mapping for this…
MEGAMIND source index 23: Golden basis functions
The technical specification reserves equation number 23 in its Golden basis functions group. The recovered text does not supply an unambiguous formula-to-number mapping for this…
MEGAMIND source index 24: Golden basis functions
The technical specification reserves equation number 24 in its Golden basis functions group. The recovered text does not supply an unambiguous formula-to-number mapping for this…
MEGAMIND source index 25: Golden basis functions
The technical specification reserves equation number 25 in its Golden basis functions group. The recovered text does not supply an unambiguous formula-to-number mapping for this…
MEGAMIND source index 26: Golden basis functions
The technical specification reserves equation number 26 in its Golden basis functions group. The recovered text does not supply an unambiguous formula-to-number mapping for this…
MEGAMIND source index 27: Golden basis functions
The technical specification reserves equation number 27 in its Golden basis functions group. The recovered text does not supply an unambiguous formula-to-number mapping for this…
MEGAMIND source index 28: Golden basis functions
The technical specification reserves equation number 28 in its Golden basis functions group. The recovered text does not supply an unambiguous formula-to-number mapping for this…
MEGAMIND source index 29: Golden basis functions
The technical specification reserves equation number 29 in its Golden basis functions group. The recovered text does not supply an unambiguous formula-to-number mapping for this…
MEGAMIND source index 30: Golden basis functions
The technical specification reserves equation number 30 in its Golden basis functions group. The recovered text does not supply an unambiguous formula-to-number mapping for this…
MEGAMIND source index 31: Golden basis functions
The technical specification reserves equation number 31 in its Golden basis functions group. The recovered text does not supply an unambiguous formula-to-number mapping for this…
MEGAMIND source index 32: Golden basis functions
The technical specification reserves equation number 32 in its Golden basis functions group. The recovered text does not supply an unambiguous formula-to-number mapping for this…
MEGAMIND source index 33: Normalization and decay
The technical specification reserves equation number 33 in its Normalization and decay group. The recovered text does not supply an unambiguous formula-to-number mapping for this…
MEGAMIND source index 35: Normalization and decay
The technical specification reserves equation number 35 in its Normalization and decay group. The recovered text does not supply an unambiguous formula-to-number mapping for this…
MEGAMIND source index 36: Normalization and decay
The technical specification reserves equation number 36 in its Normalization and decay group. The recovered text does not supply an unambiguous formula-to-number mapping for this…
MEGAMIND source index 53: Meta-state update
The technical specification reserves equation number 53 in its Meta-state update group. The recovered text does not supply an unambiguous formula-to-number mapping for this slot.…
MEGAMIND source index 54: Meta-state update
The technical specification reserves equation number 54 in its Meta-state update group. The recovered text does not supply an unambiguous formula-to-number mapping for this slot.…
MEGAMIND source index 56: Meta-state update
The technical specification reserves equation number 56 in its Meta-state update group. The recovered text does not supply an unambiguous formula-to-number mapping for this slot.…
MEGAMIND source index 57: Meta-state update
The technical specification reserves equation number 57 in its Meta-state update group. The recovered text does not supply an unambiguous formula-to-number mapping for this slot.…
MEGAMIND source index 58: Meta-state update
The technical specification reserves equation number 58 in its Meta-state update group. The recovered text does not supply an unambiguous formula-to-number mapping for this slot.…
MEGAMIND source index 59: Meta-state update
The technical specification reserves equation number 59 in its Meta-state update group. The recovered text does not supply an unambiguous formula-to-number mapping for this slot.…
MEGAMIND source index 60: Meta-state update
The technical specification reserves equation number 60 in its Meta-state update group. The recovered text does not supply an unambiguous formula-to-number mapping for this slot.…
MEGAMIND source index 61: Meta-state update
The technical specification reserves equation number 61 in its Meta-state update group. The recovered text does not supply an unambiguous formula-to-number mapping for this slot.…
MEGAMIND source index 63: Objective function Ω
The technical specification reserves equation number 63 in its Objective function Ω group. The recovered text does not supply an unambiguous formula-to-number mapping for this…
MEGAMIND source index 64: Objective function Ω
The technical specification reserves equation number 64 in its Objective function Ω group. The recovered text does not supply an unambiguous formula-to-number mapping for this…
MEGAMIND source index 65: Objective function Ω
The technical specification reserves equation number 65 in its Objective function Ω group. The recovered text does not supply an unambiguous formula-to-number mapping for this…
MEGAMIND source index 66: Objective function Ω
The technical specification reserves equation number 66 in its Objective function Ω group. The recovered text does not supply an unambiguous formula-to-number mapping for this…
MEGAMIND source index 67: Objective function Ω
The technical specification reserves equation number 67 in its Objective function Ω group. The recovered text does not supply an unambiguous formula-to-number mapping for this…
MEGAMIND source index 68: Objective function Ω
The technical specification reserves equation number 68 in its Objective function Ω group. The recovered text does not supply an unambiguous formula-to-number mapping for this…
MEGAMIND source index 69: Objective function Ω
The technical specification reserves equation number 69 in its Objective function Ω group. The recovered text does not supply an unambiguous formula-to-number mapping for this…
MEGAMIND source index 72: DNA holographic memory
The technical specification reserves equation number 72 in its DNA holographic memory group. The recovered text does not supply an unambiguous formula-to-number mapping for this…
MEGAMIND source index 75: DNA holographic memory
The technical specification reserves equation number 75 in its DNA holographic memory group. The recovered text does not supply an unambiguous formula-to-number mapping for this…
MEGAMIND source index 76: DNA holographic memory
The technical specification reserves equation number 76 in its DNA holographic memory group. The recovered text does not supply an unambiguous formula-to-number mapping for this…
MEGAMIND source index 77: DNA holographic memory
The technical specification reserves equation number 77 in its DNA holographic memory group. The recovered text does not supply an unambiguous formula-to-number mapping for this…
MEGAMIND source index 78: DNA holographic memory
The technical specification reserves equation number 78 in its DNA holographic memory group. The recovered text does not supply an unambiguous formula-to-number mapping for this…
MEGAMIND source index 79: DNA holographic memory
The technical specification reserves equation number 79 in its DNA holographic memory group. The recovered text does not supply an unambiguous formula-to-number mapping for this…
MEGAMIND source index 85: Gate5000 substrate
The technical specification reserves equation number 85 in its Gate5000 substrate group. The recovered text does not supply an unambiguous formula-to-number mapping for this slot.…
MEGAMIND source index 86: Gate5000 substrate
The technical specification reserves equation number 86 in its Gate5000 substrate group. The recovered text does not supply an unambiguous formula-to-number mapping for this slot.…
MEGAMIND source index 87: Gate5000 substrate
The technical specification reserves equation number 87 in its Gate5000 substrate group. The recovered text does not supply an unambiguous formula-to-number mapping for this slot.…
MEGAMIND source index 88: Gate5000 substrate
The technical specification reserves equation number 88 in its Gate5000 substrate group. The recovered text does not supply an unambiguous formula-to-number mapping for this slot.…
MEGAMIND source index 89: Gate5000 substrate
The technical specification reserves equation number 89 in its Gate5000 substrate group. The recovered text does not supply an unambiguous formula-to-number mapping for this slot.…
MEGAMIND source index 90: Neural brain dynamics
The technical specification reserves equation number 90 in its Neural brain dynamics group. The recovered text does not supply an unambiguous formula-to-number mapping for this…
MEGAMIND source index 91: Neural brain dynamics
The technical specification reserves equation number 91 in its Neural brain dynamics group. The recovered text does not supply an unambiguous formula-to-number mapping for this…
MEGAMIND source index 92: Neural brain dynamics
The technical specification reserves equation number 92 in its Neural brain dynamics group. The recovered text does not supply an unambiguous formula-to-number mapping for this…
MEGAMIND source index 93: Neural brain dynamics
The technical specification reserves equation number 93 in its Neural brain dynamics group. The recovered text does not supply an unambiguous formula-to-number mapping for this…
MEGAMIND source index 94: Neural brain dynamics
The technical specification reserves equation number 94 in its Neural brain dynamics group. The recovered text does not supply an unambiguous formula-to-number mapping for this…
MEGAMIND source index 95: Neural brain dynamics
The technical specification reserves equation number 95 in its Neural brain dynamics group. The recovered text does not supply an unambiguous formula-to-number mapping for this…
MEGAMIND source index 96: Neural brain dynamics
The technical specification reserves equation number 96 in its Neural brain dynamics group. The recovered text does not supply an unambiguous formula-to-number mapping for this…
MEGAMIND source index 97: Neural brain dynamics
The technical specification reserves equation number 97 in its Neural brain dynamics group. The recovered text does not supply an unambiguous formula-to-number mapping for this…
MEGAMIND source index 98: Neural brain dynamics
The technical specification reserves equation number 98 in its Neural brain dynamics group. The recovered text does not supply an unambiguous formula-to-number mapping for this…
MEGAMIND source index 99: Neural brain dynamics
The technical specification reserves equation number 99 in its Neural brain dynamics group. The recovered text does not supply an unambiguous formula-to-number mapping for this…
MEGAMIND source index 100: Neural brain dynamics
The technical specification reserves equation number 100 in its Neural brain dynamics group. The recovered text does not supply an unambiguous formula-to-number mapping for this…
MEGAMIND source index 101: Neural brain dynamics
The technical specification reserves equation number 101 in its Neural brain dynamics group. The recovered text does not supply an unambiguous formula-to-number mapping for this…
MEGAMIND source index 102: Neural brain dynamics
The technical specification reserves equation number 102 in its Neural brain dynamics group. The recovered text does not supply an unambiguous formula-to-number mapping for this…
MEGAMIND source index 478: Binding field
The technical specification reserves equation number 478 in its Binding field group. The recovered text does not supply an unambiguous formula-to-number mapping for this slot.…
MEGAMIND source index 480: Lattice engine
The technical specification reserves equation number 480 in its Lattice engine group. The recovered text does not supply an unambiguous formula-to-number mapping for this slot.…
MEGAMIND source index 481: Lattice engine
The technical specification reserves equation number 481 in its Lattice engine group. The recovered text does not supply an unambiguous formula-to-number mapping for this slot.…
MEGAMIND source index 482: Lattice engine
The technical specification reserves equation number 482 in its Lattice engine group. The recovered text does not supply an unambiguous formula-to-number mapping for this slot.…
MEGAMIND source index 483: Lattice engine
The technical specification reserves equation number 483 in its Lattice engine group. The recovered text does not supply an unambiguous formula-to-number mapping for this slot.…
MEGAMIND source index 484: Lattice engine
The technical specification reserves equation number 484 in its Lattice engine group. The recovered text does not supply an unambiguous formula-to-number mapping for this slot.…
MEGAMIND source index 487: Two-way, cognition, LTM, Q
The technical specification reserves equation number 487 in its Two-way, cognition, LTM, Q group. The recovered text does not supply an unambiguous formula-to-number mapping for…
MEGAMIND source index 488: Two-way, cognition, LTM, Q
The technical specification reserves equation number 488 in its Two-way, cognition, LTM, Q group. The recovered text does not supply an unambiguous formula-to-number mapping for…
MEGAMIND source index 489: Two-way, cognition, LTM, Q
The technical specification reserves equation number 489 in its Two-way, cognition, LTM, Q group. The recovered text does not supply an unambiguous formula-to-number mapping for…
MEGAMIND source index 490: Two-way, cognition, LTM, Q
The technical specification reserves equation number 490 in its Two-way, cognition, LTM, Q group. The recovered text does not supply an unambiguous formula-to-number mapping for…
MEGAMIND source index 491: Two-way, cognition, LTM, Q
The technical specification reserves equation number 491 in its Two-way, cognition, LTM, Q group. The recovered text does not supply an unambiguous formula-to-number mapping for…
MEGAMIND source index 492: Two-way, cognition, LTM, Q
The technical specification reserves equation number 492 in its Two-way, cognition, LTM, Q group. The recovered text does not supply an unambiguous formula-to-number mapping for…
MEGAMIND source index 493: Two-way, cognition, LTM, Q
The technical specification reserves equation number 493 in its Two-way, cognition, LTM, Q group. The recovered text does not supply an unambiguous formula-to-number mapping for…
MEGAMIND source index 494: Two-way, cognition, LTM, Q
The technical specification reserves equation number 494 in its Two-way, cognition, LTM, Q group. The recovered text does not supply an unambiguous formula-to-number mapping for…
MEGAMIND source index 495: Two-way, cognition, LTM, Q
The technical specification reserves equation number 495 in its Two-way, cognition, LTM, Q group. The recovered text does not supply an unambiguous formula-to-number mapping for…
MEGAMIND source index 496: Two-way, cognition, LTM, Q
The technical specification reserves equation number 496 in its Two-way, cognition, LTM, Q group. The recovered text does not supply an unambiguous formula-to-number mapping for…
MEGAMIND source index 497: Two-way, cognition, LTM, Q
The technical specification reserves equation number 497 in its Two-way, cognition, LTM, Q group. The recovered text does not supply an unambiguous formula-to-number mapping for…
MEGAMIND source index 498: Two-way, cognition, LTM, Q
The technical specification reserves equation number 498 in its Two-way, cognition, LTM, Q group. The recovered text does not supply an unambiguous formula-to-number mapping for…
MEGAMIND source index 499: Two-way, cognition, LTM, Q
The technical specification reserves equation number 499 in its Two-way, cognition, LTM, Q group. The recovered text does not supply an unambiguous formula-to-number mapping for…
MEGAMIND source index 500: Two-way, cognition, LTM, Q
The technical specification reserves equation number 500 in its Two-way, cognition, LTM, Q group. The recovered text does not supply an unambiguous formula-to-number mapping for…
MEGAMIND source index 501: Two-way, cognition, LTM, Q
The technical specification reserves equation number 501 in its Two-way, cognition, LTM, Q group. The recovered text does not supply an unambiguous formula-to-number mapping for…
MEGAMIND source index 502: Two-way, cognition, LTM, Q
The technical specification reserves equation number 502 in its Two-way, cognition, LTM, Q group. The recovered text does not supply an unambiguous formula-to-number mapping for…
MEGAMIND source index 506: Activation, hash and utility functions
The technical specification reserves equation number 506 in its Activation, hash and utility functions group. The recovered text does not supply an unambiguous formula-to-number…
MEGAMIND source index 507: Activation, hash and utility functions
The technical specification reserves equation number 507 in its Activation, hash and utility functions group. The recovered text does not supply an unambiguous formula-to-number…
MEGAMIND source index 508: Activation, hash and utility functions
The technical specification reserves equation number 508 in its Activation, hash and utility functions group. The recovered text does not supply an unambiguous formula-to-number…
MEGAMIND source index 509: Activation, hash and utility functions
The technical specification reserves equation number 509 in its Activation, hash and utility functions group. The recovered text does not supply an unambiguous formula-to-number…
MEGAMIND source index 510: Activation, hash and utility functions
The technical specification reserves equation number 510 in its Activation, hash and utility functions group. The recovered text does not supply an unambiguous formula-to-number…
MEGAMIND source index 511: Activation, hash and utility functions
The technical specification reserves equation number 511 in its Activation, hash and utility functions group. The recovered text does not supply an unambiguous formula-to-number…
MEGAMIND source index 512: Activation, hash and utility functions
The technical specification reserves equation number 512 in its Activation, hash and utility functions group. The recovered text does not supply an unambiguous formula-to-number…
MEGAMIND source index 513: Activation, hash and utility functions
The technical specification reserves equation number 513 in its Activation, hash and utility functions group. The recovered text does not supply an unambiguous formula-to-number…
MEGAMIND source index 514: Activation, hash and utility functions
The technical specification reserves equation number 514 in its Activation, hash and utility functions group. The recovered text does not supply an unambiguous formula-to-number…
MEGAMIND source index 515: Activation, hash and utility functions
The technical specification reserves equation number 515 in its Activation, hash and utility functions group. The recovered text does not supply an unambiguous formula-to-number…
MEGAMIND source index 516: Activation, hash and utility functions
The technical specification reserves equation number 516 in its Activation, hash and utility functions group. The recovered text does not supply an unambiguous formula-to-number…