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Equation 3 · Part 2 · From Origins to Frontier: A History of Advanced Semiconductor Fabrication

Symbol t

N(t)≈N0⋅2(t−t0)/T,N(t) \approx N_0 \cdot 2^{(t - t_0)/T},
tt

What this part means

t is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

Its job in the formula

t is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

The passage around this formula

…because the difference between them is itself a historical fact rather than a rounding error. If N0N_0 is the component count at a reference time t0t_0 , the extrapolation in each case took the form N(t)≈N0⋅2(t−t0)/TN(t) \approx N_0 \cdot 2^{(t - t_0)/T}. with T ≈\approx 1 year in the 1965 paper’s implied rate and T ≈\approx 2 years in Moore’s own 1975 revision [ 1 , 2 ] . A model that halves its own rate parameter after a decade of data is not a law of nature; it is a working forecast that its author corrected in public once, using new evidence, at a…

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