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Equation 1 · Part 6 · The Real Economics of Shipping a Model to a Device

multiplication

TCdistill=Cdistill+Q⋅cstudent,TC_{\mathrm{distill}} = C_{\mathrm{distill}} + Q \cdot c_{\mathrm{student}},
multiplication

What this part means

Multiply the quantities on either side.

Its job in the formula

Multiply the quantities on either side.

The passage around this formula

That gap explains why distillation investment almost never fails its own break-even test once a product actually ships. Write the total cost of training and then serving a distilled student model as TCdistill=Cdistill+Q⋅cstudentTC_{\mathrm{distill}} = C_{\mathrm{distill}} + Q \cdot c_{\mathrm{student}}. against the cost of simply continuing to serve the teacher directly for the same query volume,

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Learn the underlying idea

Multiplication scales one quantity by another. A dot, a cross, or adjacent symbols can indicate a product.

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Sources cited in the article section

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