Equation 15 · Part 2 · Embeddings and the Geometry of Similarity
subscript
subscript
What this part means
The lower label selects a particular version, component, or indexed member of the quantity. For example, x₀ and xₜ can be values at different positions.
Its job in the formula
A subscript distinguishes a version, component, step, or member of a quantity. It does not automatically mean multiplication.
Full expression→subscript→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
A subscript is a label attached below a symbol. It often selects a time step, component, category, or member of a sequence.
Open the illustrated subscripts: which member of a family? guide →
Sources cited in the surrounding passage
These citations provide research context; check each source for the exact claim it supports.