← Mathematical compendium

Published equation contexts

Y=e−DSY = e^{-D S}

Why this formula appears here

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.

Read the full article-specific guide →

Read the representative guide

e−DSe^{-D S}

Symbol e^-D S

e−e^-D S is one of the signed contributions combined to compute the quantity on the left.

Read this term in its guide →

How to interpret it

Read it with the definitions, units, and assumptions supplied by the article.

Research cited beside this formula

Learn the mathematics behind it

Published contexts (1)

A symbol can carry a different meaning in another article. Each occurrence keeps its own guide and term definitions.

Y=e−DSY = e^{-D S}

Equation 20 · AI Hardware & Semiconductors

Patterning at the Limit: What Actually Happens When a Chip Is Manufactured

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

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.

Equation guide → · Article →