Equation 11 · When the Substrate Became the Product
What does this equation mean?
Read the formula alongside the article passage below. Each part has a deeper page with its role in the equation, the supporting passage and nearby citations.
This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.
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Symbol C_fix
ix is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
subscript
The lower label selects a particular version, component, or indexed member of the quantity. For example, x₀ and xₜ can be values at different positions.
How to interpret it
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What the article says around this equation
Within its range of validity, the model explains the entire strategy of advanced packaging. Shorten and you reduce the wire term. Reduce the connector pitch and you shrink per wire while getting more wires per millimetre of die edge, so you can lower the per-wire data rate for the same aggregate bandwidth — and a lower rate lets you drop the swing and delete the equalisation circuitry. The gains compound, which is why the reported numbers for short-reach parallel interfaces are so far below what a long-reach serial link costs.
Sources cited in the article section
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