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THE CONSCIOUSNESS ATLAS
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ConsciousnessLearn · Explore · Joseph Anady

The equation library

Every recovered mathematical record has an individual page. Browse original equations, code expressions, indexed components, parameter definitions, and explicitly unresolved source slots.

2,910 recordsSource snapshot 2026-10-17

Counts refer to mathematical records, including implemented expressions and generated instances. They are not counts of independently validated theories. Exact occurrences and unresolved slots remain traceable. Read the complete 1–516 source index ↗ · Inspect the scan decisions ↗

2,910 records · page 53 of 59Search the source archive ↗
SOURCE 175 · megamind-core-072

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, then averages that carrier with a product of two modular harmonic terms. This is one member of a repeated deterministic…

Core generator instancesdocumented formula instance
t=72 × 0.03125; carrier=sin(t × φ)+cos(t × τ); harmonic=sin((72 mod 13) × 0.27) × cos((72 mod 17) × 0.19); core[72]=0.5 × carrier+0.5 × harmonic
SOURCE 176 · megamind-core-073

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, then averages that carrier with a product of two modular harmonic terms. This is one member of a repeated deterministic…

Core generator instancesdocumented formula instance
t=73 × 0.03125; carrier=sin(t × φ)+cos(t × τ); harmonic=sin((73 mod 13) × 0.27) × cos((73 mod 17) × 0.19); core[73]=0.5 × carrier+0.5 × harmonic
SOURCE 177 · megamind-core-074

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, then averages that carrier with a product of two modular harmonic terms. This is one member of a repeated deterministic…

Core generator instancesdocumented formula instance
t=74 × 0.03125; carrier=sin(t × φ)+cos(t × τ); harmonic=sin((74 mod 13) × 0.27) × cos((74 mod 17) × 0.19); core[74]=0.5 × carrier+0.5 × harmonic
SOURCE 178 · megamind-core-075

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, then averages that carrier with a product of two modular harmonic terms. This is one member of a repeated deterministic…

Core generator instancesdocumented formula instance
t=75 × 0.03125; carrier=sin(t × φ)+cos(t × τ); harmonic=sin((75 mod 13) × 0.27) × cos((75 mod 17) × 0.19); core[75]=0.5 × carrier+0.5 × harmonic
SOURCE 179 · megamind-core-076

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, then averages that carrier with a product of two modular harmonic terms. This is one member of a repeated deterministic…

Core generator instancesdocumented formula instance
t=76 × 0.03125; carrier=sin(t × φ)+cos(t × τ); harmonic=sin((76 mod 13) × 0.27) × cos((76 mod 17) × 0.19); core[76]=0.5 × carrier+0.5 × harmonic
SOURCE 180 · megamind-core-077

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, then averages that carrier with a product of two modular harmonic terms. This is one member of a repeated deterministic…

Core generator instancesdocumented formula instance
t=77 × 0.03125; carrier=sin(t × φ)+cos(t × τ); harmonic=sin((77 mod 13) × 0.27) × cos((77 mod 17) × 0.19); core[77]=0.5 × carrier+0.5 × harmonic
SOURCE 181 · megamind-core-078

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, then averages that carrier with a product of two modular harmonic terms. This is one member of a repeated deterministic…

Core generator instancesdocumented formula instance
t=78 × 0.03125; carrier=sin(t × φ)+cos(t × τ); harmonic=sin((78 mod 13) × 0.27) × cos((78 mod 17) × 0.19); core[78]=0.5 × carrier+0.5 × harmonic
SOURCE 182 · megamind-core-079

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, then averages that carrier with a product of two modular harmonic terms. This is one member of a repeated deterministic…

Core generator instancesdocumented formula instance
t=79 × 0.03125; carrier=sin(t × φ)+cos(t × τ); harmonic=sin((79 mod 13) × 0.27) × cos((79 mod 17) × 0.19); core[79]=0.5 × carrier+0.5 × harmonic
SOURCE 111 · megamind-core-008

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, then averages that carrier with a product of two modular harmonic terms. This is one member of a repeated deterministic…

Core generator instancesdocumented formula instance
t=8 × 0.03125; carrier=sin(t × φ)+cos(t × τ); harmonic=sin((8 mod 13) × 0.27) × cos((8 mod 17) × 0.19); core[8]=0.5 × carrier+0.5 × harmonic
SOURCE 183 · megamind-core-080

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, then averages that carrier with a product of two modular harmonic terms. This is one member of a repeated deterministic…

Core generator instancesdocumented formula instance
t=80 × 0.03125; carrier=sin(t × φ)+cos(t × τ); harmonic=sin((80 mod 13) × 0.27) × cos((80 mod 17) × 0.19); core[80]=0.5 × carrier+0.5 × harmonic
SOURCE 184 · megamind-core-081

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, then averages that carrier with a product of two modular harmonic terms. This is one member of a repeated deterministic…

Core generator instancesdocumented formula instance
t=81 × 0.03125; carrier=sin(t × φ)+cos(t × τ); harmonic=sin((81 mod 13) × 0.27) × cos((81 mod 17) × 0.19); core[81]=0.5 × carrier+0.5 × harmonic
SOURCE 185 · megamind-core-082

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, then averages that carrier with a product of two modular harmonic terms. This is one member of a repeated deterministic…

Core generator instancesdocumented formula instance
t=82 × 0.03125; carrier=sin(t × φ)+cos(t × τ); harmonic=sin((82 mod 13) × 0.27) × cos((82 mod 17) × 0.19); core[82]=0.5 × carrier+0.5 × harmonic
SOURCE 186 · megamind-core-083

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, then averages that carrier with a product of two modular harmonic terms. This is one member of a repeated deterministic…

Core generator instancesdocumented formula instance
t=83 × 0.03125; carrier=sin(t × φ)+cos(t × τ); harmonic=sin((83 mod 13) × 0.27) × cos((83 mod 17) × 0.19); core[83]=0.5 × carrier+0.5 × harmonic
SOURCE 187 · megamind-core-084

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, then averages that carrier with a product of two modular harmonic terms. This is one member of a repeated deterministic…

Core generator instancesdocumented formula instance
t=84 × 0.03125; carrier=sin(t × φ)+cos(t × τ); harmonic=sin((84 mod 13) × 0.27) × cos((84 mod 17) × 0.19); core[84]=0.5 × carrier+0.5 × harmonic
SOURCE 188 · megamind-core-085

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, then averages that carrier with a product of two modular harmonic terms. This is one member of a repeated deterministic…

Core generator instancesdocumented formula instance
t=85 × 0.03125; carrier=sin(t × φ)+cos(t × τ); harmonic=sin((85 mod 13) × 0.27) × cos((85 mod 17) × 0.19); core[85]=0.5 × carrier+0.5 × harmonic
SOURCE 189 · megamind-core-086

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, then averages that carrier with a product of two modular harmonic terms. This is one member of a repeated deterministic…

Core generator instancesdocumented formula instance
t=86 × 0.03125; carrier=sin(t × φ)+cos(t × τ); harmonic=sin((86 mod 13) × 0.27) × cos((86 mod 17) × 0.19); core[86]=0.5 × carrier+0.5 × harmonic
SOURCE 190 · megamind-core-087

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, then averages that carrier with a product of two modular harmonic terms. This is one member of a repeated deterministic…

Core generator instancesdocumented formula instance
t=87 × 0.03125; carrier=sin(t × φ)+cos(t × τ); harmonic=sin((87 mod 13) × 0.27) × cos((87 mod 17) × 0.19); core[87]=0.5 × carrier+0.5 × harmonic
SOURCE 191 · megamind-core-088

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, then averages that carrier with a product of two modular harmonic terms. This is one member of a repeated deterministic…

Core generator instancesdocumented formula instance
t=88 × 0.03125; carrier=sin(t × φ)+cos(t × τ); harmonic=sin((88 mod 13) × 0.27) × cos((88 mod 17) × 0.19); core[88]=0.5 × carrier+0.5 × harmonic
SOURCE 192 · megamind-core-089

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, then averages that carrier with a product of two modular harmonic terms. This is one member of a repeated deterministic…

Core generator instancesdocumented formula instance
t=89 × 0.03125; carrier=sin(t × φ)+cos(t × τ); harmonic=sin((89 mod 13) × 0.27) × cos((89 mod 17) × 0.19); core[89]=0.5 × carrier+0.5 × harmonic
SOURCE 112 · megamind-core-009

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, then averages that carrier with a product of two modular harmonic terms. This is one member of a repeated deterministic…

Core generator instancesdocumented formula instance
t=9 × 0.03125; carrier=sin(t × φ)+cos(t × τ); harmonic=sin((9 mod 13) × 0.27) × cos((9 mod 17) × 0.19); core[9]=0.5 × carrier+0.5 × harmonic
SOURCE 193 · megamind-core-090

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, then averages that carrier with a product of two modular harmonic terms. This is one member of a repeated deterministic…

Core generator instancesdocumented formula instance
t=90 × 0.03125; carrier=sin(t × φ)+cos(t × τ); harmonic=sin((90 mod 13) × 0.27) × cos((90 mod 17) × 0.19); core[90]=0.5 × carrier+0.5 × harmonic
SOURCE 194 · megamind-core-091

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, then averages that carrier with a product of two modular harmonic terms. This is one member of a repeated deterministic…

Core generator instancesdocumented formula instance
t=91 × 0.03125; carrier=sin(t × φ)+cos(t × τ); harmonic=sin((91 mod 13) × 0.27) × cos((91 mod 17) × 0.19); core[91]=0.5 × carrier+0.5 × harmonic
SOURCE 195 · megamind-core-092

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, then averages that carrier with a product of two modular harmonic terms. This is one member of a repeated deterministic…

Core generator instancesdocumented formula instance
t=92 × 0.03125; carrier=sin(t × φ)+cos(t × τ); harmonic=sin((92 mod 13) × 0.27) × cos((92 mod 17) × 0.19); core[92]=0.5 × carrier+0.5 × harmonic
SOURCE 196 · megamind-core-093

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, then averages that carrier with a product of two modular harmonic terms. This is one member of a repeated deterministic…

Core generator instancesdocumented formula instance
t=93 × 0.03125; carrier=sin(t × φ)+cos(t × τ); harmonic=sin((93 mod 13) × 0.27) × cos((93 mod 17) × 0.19); core[93]=0.5 × carrier+0.5 × harmonic
SOURCE 197 · megamind-core-094

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, then averages that carrier with a product of two modular harmonic terms. This is one member of a repeated deterministic…

Core generator instancesdocumented formula instance
t=94 × 0.03125; carrier=sin(t × φ)+cos(t × τ); harmonic=sin((94 mod 13) × 0.27) × cos((94 mod 17) × 0.19); core[94]=0.5 × carrier+0.5 × harmonic
SOURCE 198 · megamind-core-095

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, then averages that carrier with a product of two modular harmonic terms. This is one member of a repeated deterministic…

Core generator instancesdocumented formula instance
t=95 × 0.03125; carrier=sin(t × φ)+cos(t × τ); harmonic=sin((95 mod 13) × 0.27) × cos((95 mod 17) × 0.19); core[95]=0.5 × carrier+0.5 × harmonic
SOURCE 199 · megamind-core-096

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, then averages that carrier with a product of two modular harmonic terms. This is one member of a repeated deterministic…

Core generator instancesdocumented formula instance
t=96 × 0.03125; carrier=sin(t × φ)+cos(t × τ); harmonic=sin((96 mod 13) × 0.27) × cos((96 mod 17) × 0.19); core[96]=0.5 × carrier+0.5 × harmonic
SOURCE 200 · megamind-core-097

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, then averages that carrier with a product of two modular harmonic terms. This is one member of a repeated deterministic…

Core generator instancesdocumented formula instance
t=97 × 0.03125; carrier=sin(t × φ)+cos(t × τ); harmonic=sin((97 mod 13) × 0.27) × cos((97 mod 17) × 0.19); core[97]=0.5 × carrier+0.5 × harmonic
SOURCE 201 · megamind-core-098

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, then averages that carrier with a product of two modular harmonic terms. This is one member of a repeated deterministic…

Core generator instancesdocumented formula instance
t=98 × 0.03125; carrier=sin(t × φ)+cos(t × τ); harmonic=sin((98 mod 13) × 0.27) × cos((98 mod 17) × 0.19); core[98]=0.5 × carrier+0.5 × harmonic
SOURCE 202 · megamind-core-099

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, then averages that carrier with a product of two modular harmonic terms. This is one member of a repeated deterministic…

Core generator instancesdocumented formula instance
t=99 × 0.03125; carrier=sin(t × φ)+cos(t × τ); harmonic=sin((99 mod 13) × 0.27) × cos((99 mod 17) × 0.19); core[99]=0.5 × carrier+0.5 × harmonic

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