Read the equation
State five is reset to one on every tick; state six copies its previous value, and state seven takes the reciprocal of the previous state six. The constant eventually propagates through these states. Initial state six must be nonzero wherever its reciprocal is evaluated.
Terms & definitions
| Term | Meaning in this source |
|---|---|
| s_5 | Constant-reset state |
| s_6 | Delayed copy |
| s_7 | Reciprocal state |
How it works
Read the definition from its right-hand expression to the quantity on the left. Its surrounding source records the intended input, state, or parameter context. Where the source leaves an operation unspecified, this page preserves that gap.
Assumptions & limits
Source recovery establishes that the expression appears in this record. Its mathematical validity, implementation behavior, and interpretation must be assessed separately. See the linked source and research notes for the checks available for this version.
Original context
Read the surrounding source passage
s1,t+1=s7,t+1, s2,t+1=s1,t−1. s3,t+1=s2,t, s4,t+1=s3,t. s5,t+1=1, s6,t+1=s5,t, s7,t+1=1/s6,t. At a valid equilibrium these equations give s1,s2,s3,s4,s5,s6,s7=2,1,1,1,1,1,1. Starting all seven states at two, the implementation reaches this vector by update seven and remains there. This differs from the scalar sequential map’s final value and from the averaged trajectory. The wiring, state layout, scheduling, and coupling rule matter. The word “loop” alone does not select among these models.
Exact original notation
{s}_{5,t+1}=1, {s}_{6,t+1}={s}_{5,t}, {s}_{7,t+1}=1/{s}_{6,t}.Sources & provenance
{s}_{5,t+1}=1, {s}_{6,t+1}={s}_{5,t}, {s}_{7,t+1}=1/{s}_{6,t}.
{s}_{5,t+1}=1, {s}_{6,t+1}={s}_{5,t}, {s}_{7,t+1}=1/{s}_{6,t}.