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Equation 15 · Part 6 · Patterning at the Limit: What Actually Happens When a Chip Is Manufactured

fraction

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

What this part means

Divide the expression above the line by the one below it.

Its job in the formula

The expression above the fraction bar is divided by the complete expression below it. The denominator must not be zero.

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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