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Published equation contexts

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

Why this formula appears here

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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With a fixed numerator, increasing a nonzero denominator reduces the fraction. Read it with the definitions, units, and assumptions supplied by the article.

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Published contexts (1)

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

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This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.

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.

Meanings in this article

  • YY: the widely used negative binomial form.
  • DD: the defect density.
  • SS: the die area.
  • cc: the cluster parameter [ 16 ].
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