Equation 6 · Part 10 · From n-Grams to Reasoning Models: A Technical History of the Language Model
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
Vaswani and colleagues removed recurrence entirely, proposing an architecture “based solely on attention mechanisms, dispensing with recurrence and convolutions entirely”, and reported 28.4 BLEU on WMT 2014 English-to-German and 41.8 on English-to-French with substantially less training time [ 11 ] . The core operation is a single scaled dot-product: . The analytical point is that this is primarily a hardware result dressed as an architectural one. Every position attends to every other position in one parallel matrix multiplication, which maps precisely onto accelerator hardware in a way that a sequential recurrence never can. The transformer is what made it economically…
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 surrounding passage
These citations provide research context; check each source for the exact claim it supports.