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Equation 6 · Part 2 · How Chiplets and Advanced Packaging Actually Work

Symbol p

narea(p)  ∝  1p2,n_{\text{area}}(p) \;\propto\; \frac{1}{p^{2}},
pp

What this part means

the pitch.

Its job in the formula

p occurs below the fraction bar. The quantity above the bar is divided by this expression; zero is excluded as a denominator.

Where the article explains it

If interconnects sit on a roughly square grid of pitch p , the number that fit per unit area scales as narea(p)  ∝  1p2n_{\text{area}}(p) \;\propto\; \frac{1}{p^{2}}.

The passage around this formula

Density itself is worth being precise about, because pitch and area density do not scale the same way. If interconnects sit on a roughly square grid of pitch p , the number that fit per unit area scales as narea(p)  ∝  1p2n_{\text{area}}(p) \;\propto\; \frac{1}{p^{2}}. not as 1/p . imec’s demonstrated step from 400-nanometre to 200-nanometre hybrid-bond pitch [ 4 , 3 ] is therefore not a doubling of achievable interconnect density but close to a quadrupling of it — the reason pitch numbers that look like modest, incremental reductions on a roadmap chart translate into much larger jumps in how many independent signals a bonded pair of dies can actually exchange per square millimetre.

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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 article section

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