Equation 3 · Part 9 · From Origins to Frontier: A History of Advanced Semiconductor Fabrication

subscript

N(t) \approx N_0 \cdot 2^{(t - t_0)/T},

subscript

What this part means

The lower label selects a particular version, component, or indexed member of the quantity. For example, x₀ and xₜ can be values at different positions.

Its job in the formula

A subscript distinguishes a version, component, step, or member of a quantity. It does not automatically mean multiplication.

Full expressionsubscriptArticle meaning

The passage around this formula

The two numbers are worth writing down side by side, because the difference between them is itself a historical fact rather than a rounding error. If $N_0$ is the component count at a reference time $t_0$ , the extrapolation in each case took the form $N(t) \approx N_0 \cdot 2^{(t - t_0)/T}$ . 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 named conference. That the popular shorthand later collapsed both versions into a single unchanging “law” says more about the…

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Learn the underlying idea

A subscript is a label attached below a symbol. It often selects a time step, component, category, or member of a sequence.

Open the illustrated subscripts: which member of a family? guide →

Sources cited in the article section

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