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Equation 1 · Part 4 · Advanced Semiconductor Fabrication in Practice: Design Rules, Foundry PDKs, and the Yield Ramp

subscript

YP=e−AFY_P = e^{-AF}
subscript

What this part means

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.

Its job in the formula

A subscript distinguishes a version, component, step, or member of a quantity. It does not automatically mean multiplication.

The passage around this formula

The study’s production model uses a standard form for die-sort yield as a function of electrical fault density, treating faults as randomly and independently distributed across a wafer: YP=e−AFY_P = e^{-AF}. where A is the critical area of the circuit — the area of the design actually susceptible to a given class of fault — and F is the fault density measured per unit area [ 7 ] . The relationship is exponential in both variables, which is precisely why yield learning is disproportionately valuable: a fixed absolute reduction in fault density buys a much larger yield improvement once fault density is already low than the same absolute reduction bought when fault density was high.

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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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