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Equation 1 · Part 8 · When the Substrate Became the Product

subscript

Y(A)=(1+D0Ac)−c,Y(A) = \left(1 + \frac{D_0 A}{c}\right)^{-c},
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.

The passage around this formula

The second ceiling is statistical and softer, but it bites earlier. Defects arrive on a wafer at some density, and the probability that a given die contains none of them falls as its area grows. Feng and Ma, in the cost model they published for multi-chiplet architectures, use the negative binomial form Y(A)=(1+D0Ac)−cY(A) = \left(1 + \frac{D_0 A}{c}\right)^{-c}. with defect density D0D_0 , die area A , and a clustering parameter c that captures the fact that defects are not independently scattered [ 2 ] . The exact parameters matter less than the shape. Yield falls monotonically with area, so cost per good die rises faster than area, and past some size the marginal square millimetre costs more than the function printed on it is…

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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 surrounding passage

These citations provide research context; check each source for the exact claim it supports.