Equation 11 · Part 2 · Embeddings and the Geometry of Similarity
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
with C constant, while typical distances themselves grow like . Relative contrast therefore decays with dimension, and the constant shrinks as k rises — which is why they conclude that is preferable to in high dimensions, to , and that fractional norms preserve contrast better still [ 12 ] .
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.