← Mathematical compendium

Published equation contexts

TCdistill=Cdistill+Q⋅cstudentTC_{\mathrm{distill}} = C_{\mathrm{distill}} + Q \cdot c_{\mathrm{student}}

Why this formula appears here

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,

Read the full article-specific guide →

Read the representative guide

cstudentc_{\mathrm{student}}

Symbol c_student

csc_student is one of the signed contributions combined to compute the quantity on the left.

Read this term in its guide →

How to interpret it

Read it with the definitions, units, and assumptions supplied by the article.

Research cited beside this formula

Learn the mathematics behind it

Published contexts (1)

A symbol can carry a different meaning in another article. Each occurrence keeps its own guide and term definitions.

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

Equation 1 · Edge AI & Electronics

The Real Economics of Shipping a Model to a Device

This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.

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,

Meanings in this article

Equation guide → · Article →