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Equation 1 · Part 5 · When the Substrate Became the Product

=

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

What this part means

The expressions on both sides represent the same quantity under the stated assumptions.

Its job in the formula

The equals sign connects the complete expression on the left with the complete expression on the right. Both sides must have compatible units.

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

An equals sign says that the expression on its left and the expression on its right have the same value under the stated definitions and assumptions.

Open the illustrated equality: what the equals sign claims guide →

Sources cited in the surrounding passage

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