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Equation 15 · Part 9 · Patterning at the Limit: What Actually Happens When a Chip Is Manufactured

Numerator: D S

Y=(1+DSc)−c,Y = \left(1 + \frac{D S}{c}\right)^{-c},
DSD S

What this part means

The complete quantity above the fraction bar.

Its job in the formula

D S occurs above the fraction bar. The numerator is divided by the entire denominator below it.

The passage around this formula

Yield modelling then converts defect density into economics. The widely used negative binomial form is Y=(1+DSc)−cY = \left(1 + \frac{D S}{c}\right)^{-c}. with D the defect density, S the die area, and c a cluster parameter [ 16 ] . As c →\to ∞\infty the expression tends to the Poisson model Y = e−DSe^{-D S} , which assumes defects fall independently and uniformly.

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Learn the underlying idea

A fraction a/b means a divided by b. The top number is the numerator; the bottom number is the denominator, and it cannot be zero.

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Sources cited in the surrounding passage

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