ANTICIPATION

Charge accumulating on a capacitor. Convergent sequences approaching their limit. The held breath before the event.

Capacitor charging curves, convergent sequences, countdown functions, kindling thresholds, and potential energy surfaces. The mathematics of systems approaching a threshold they haven't yet crossed.

46 renders. 5 survived.

Charge — V(t) = V₀(1 - e^{-t/RC})

Charge

V(t) = V₀(1 - e^{-t/RC})

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Convergence — aₙ → L as n → ∞, |aₙ - L| < ε

Convergence

aₙ → L as n → ∞, |aₙ - L| < ε

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Countdown — f(t) = N - ⌊t/Δt⌋

Countdown

f(t) = N - ⌊t/Δt⌋

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Kindling — T(t) = T_ign - ΔT·e^{-t/τ}

Kindling

T(t) = T_ign - ΔT·e^{-t/τ}

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Potential — U(x) = mgh, h = h_max

Potential

U(x) = mgh, h = h_max

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Complete ANTICIPATION Series

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▶The Story Behind This Series

Anticipation is potential energy. The mathematics of 'almost' — convergent sequences, charging capacitors, systems approaching but not yet reaching a critical threshold. This series renders the geometry of the moment before.

Mathematical primitive: convergence, accumulation, threshold approach, potential energy