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Equation 5 · Part 2 · From Origins to Frontier: A History of Chiplets and Advanced Packaging

Symbol Y_assy

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

What this part means

YaY_assy is an input to the expression that computes the quantity on the left.

Its job in the formula

YaY_assy is an input to the expression that computes the quantity on the left.

The passage around this formula

…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…

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Learn the underlying idea

A subscript is a label attached below a symbol. It often selects a time step, component, category, or member of a sequence.

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Sources cited in the surrounding passage

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