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Equation 2 · Part 6 · The Real Economics of Shipping a Model to a Device

multiplication

TCteacher=Q⋅cteacher.TC_{\mathrm{teacher}} = Q \cdot c_{\mathrm{teacher}}.
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

against the cost of simply continuing to serve the teacher directly for the same query volume, TCteacher=Q⋅cteacherTC_{\mathrm{teacher}} = Q \cdot c_{\mathrm{teacher}}. Here CdistillC_{\mathrm{distill}} is the one-time training cost, Q is the number of queries served over the deployment’s life, and cstudentc_{\mathrm{student}} and cteacherc_{\mathrm{teacher}} are the marginal cost per query of serving each model, wherever that serving happens. The break-even query volume is

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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

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