← All parts of this equation

Equation 5 · Part 6 · From Origins to Frontier: A History of Chiplets and Advanced Packaging

=

Ypkg=Yassy∏i=1NYi.Y_{\text{pkg}} = Y_{\text{assy}} \prod_{i=1}^{N} Y_i .
=

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 arithmetic behind that reputation is straightforward and still governs every multi-die package built today. A packaged part’s yield is not the yield of its worst component; it is the product of every component’s yield together with the yield of the assembly step that joins them. Write the package yield YpkgY_{\text{pkg}} as a function of the assembly yield YassyY_{\text{assy}} and the yield YiY_i of each of N individual die placed into the package: Ypkg=Yassy∏i=1NYiY_{\text{pkg}} = Y_{\text{assy}} \prod_{i=1}^{N} Y_i . Multiplication is unforgiving at scale. Every die added to a package is another factor less than one, so a package holding several die each individually manufactured at a very respectable yield can still fail at an uncomfortable rate…

Read this part in the article →

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.