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Equation 11 · Part 2 · Comparing the Main Approaches to AI Inference Economics

superscript

u∗u^{*}
superscript

What this part means

A raised number can be a power. When it is a label or bound, it selects a case or the upper limit of a sum; the formula’s structure distinguishes these uses.

Its job in the formula

A raised mark can be a power or an index. Its position and the surrounding notation determine which.

The passage around this formula

Below the break-even utilization u∗u^{*} , paying on demand only for the hours actually used is cheaper than holding a reservation that sits partly idle; above it, the reservation wins. What no published rate card can supply is u itself — a property of the buyer’s own traffic, not of any vendor’s pricing page — which is exactly why “is reserved capacity worth it” has no answer that holds across buyers, only a formula that turns a buyer’s own utilization forecast into one.

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Learn the underlying idea

An exponent tells how a base is used in multiplication. In x³, x is the base and 3 is the exponent: x³ = x × x × x.

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Sources cited in the article section

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