Equation 18 · Part 2 · What an AI Accelerator Actually Is: Silicon, Packaging, and the Memory It Can Reach
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
Now put the two scaling rates from the opening beside this. If grows at 3.0x per two years and grows at 1.6x, then — the intensity threshold a workload must clear — grows at roughly 1.9x per two years [ 4 ] . Each hardware generation raises the bar for what counts as compute bound. This is why a kernel that was compute bound two generations ago is memory bound today without a line of its source changing, and it is the single most useful thing to know about accelerator roadmaps.
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 surrounding passage
These citations provide research context; check each source for the exact claim it supports.