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Equation 6 · Part 3 · An Optical Fabric Turns Off-Package Memory Into an Extension of the Die

subscript

BWoptBW_{\text{opt}}
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

That is a clean, falsifiable test in principle. In practice, computing L for the Photonic Fabric Module runs into a wall immediately, and the wall is worth describing precisely rather than waved past. BWoptW_{\text{opt}} is at least partially available — the module’s 7.2-terabit-per-second optical connectivity figure and the appliance’s 32-terabyte pooled capacity are both disclosed, even if the realized random-access figure specifically (as opposed to the module’s headline peak) is not. PoptP_{\text{opt}} is not available at all. Not in the chiplet-marketplace technical summary, not in Celestial AI’s own Hot Chips 2025 presentation, not anywhere on the corporate site that now forwards to Marvell’s.…

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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.

Open the illustrated subscripts: which member of a family? guide →

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