Equation 22 · Part 3 · The Real Economics of Shipping a Model to a Device
superscript
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.
Full expression→superscript→Article meaning
The passage around this formula
The equation also explains something the variant-matrix section set up: rises with every additional tier, chip target and quantization scheme a release has to validate, which means rises too. A feature built once and validated across three device tiers has a lower bar to clear than the same feature validated across six, holding query volume constant. This is a real, and rarely stated, reason product teams should expect on-device placement to make sense for a small number of high-frequency, broadly used capabilities — the ones that clear by a wide margin — and to make less sense for a long tail of niche features that a smaller…
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.
Open the illustrated exponents: repeated multiplication and powers guide →
Sources cited in the article section
These citations provide research context; check each source for the exact claim it supports.