Read the equation
Adding 0.1 to the full previous value gives Aₙ=A₀+0.1n. Unlike the leaky example, this state has no finite equilibrium and grows linearly. This comparison shows why retention coefficients materially determine the claimed accumulation behavior.
Terms & definitions
| Term | Meaning in this source |
|---|---|
| A_n | Accumulated value |
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
An=q1−ρn1−ρ. By contrast, for an imposed nonleaky rule An+1=An+0.1, threshold two is reached at step 20. That result follows from the nonleakage assumption. It does not establish that all physical or computational loops implement a nonleaky accumulator. Even positive increments need not produce unbounded accumulation: summable increments such as 2−n have a finite total. A valid crossing theorem needs a condition on the cumulative sum, not just an assertion that data keeps moving. 7.3 Speed can alter timing without creating a new capability For a discrete deterministic recurrence, increasing the execution clock changes wall-clock time per update. It does not change the sequence indexed by update number unless the dynamics explicitly depend on real time, input timing, numerical effects, or physical coupling.
Exact original notation
{A}_{n+1}={A}_{n}+0.1Sources & provenance
{A}_{n+1}={A}_{n}+0.1
{A}_{n+1}={A}_{n}+0.1