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Equation 3 · Part 6 · Chiplets and Advanced Packaging in Practice: An Advanced Technical Guide

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Ypackage≈∏i=1nyiY_{\text{package}} \approx \prod_{i=1}^{n} y_i
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What this part means

Approximately equal to; the equality is not exact.

Its job in the formula

Approximately equal to; the equality is not exact.

The passage around this formula

The arithmetic behind that claim is a plain probability composition, and it is worth writing down because it is the one piece of real math in advanced packaging that most design reviews skip past. If each of n chiplets bonded into one package has an independent per-die yield yiy_i , the assembly’s final yield is approximately Ypackage≈∏i=1nyiY_{\text{package}} \approx \prod_{i=1}^{n} y_i. which is a first-order model — it assumes bonding introduces no additional defects and that die yields are independent, both of which are simplifications addressed separately below. Even under this optimistic assumption, four chiplets each yielding 95% compose to roughly 81% assembly yield, and a twenty-die stack at the same per-die yield falls to…

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Learn the underlying idea

A variable is a named place for a value. Its letter is a local label: x can mean position in one formula and a data point in another.

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Sources cited in the surrounding passage

These citations provide research context; check each source for the exact claim it supports.