semiprojection

S1E1M3I1P3R1O1J8E1C3T1I1O1N1

noun

A function f of rank k, where k is greater than or equal to three, such that for some index i between one and k (inclusive), f(x₁, x₂, ... xₖ) = xᵢ whenever |{x₁, x₂, ... xₖ}| < k.

Scrabble 27

Meanings

nounsemiprojection (plural semiprojections)

plural semiprojections

  1. mathematicsA function f of rank k, where k is greater than or equal to three, such that for some index i between one and k (inclusive), f(x₁, x₂, ... xₖ) = xᵢ whenever |{x₁, x₂, ... xₖ}| < k.

    Let f be the semiprojection defined by the bitransitive relation R. Then [f] is a minimal clone.

    2012, Janos Aczel, Aggregating clones, colors, equations, iterates, numbers, and tiles, page 13
    1 more example

    We now show that closure under a semiprojection operation is not in general a sufficient condition for tractability.

    1997, Journal of the Association for Computing Machinery, page 544
Cite this entry
APA

semiprojection. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/semiprojection

MLA

“semiprojection.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/semiprojection. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “semiprojection,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/semiprojection.

Source: semiprojection on Wiktionary, CC BY-SA 4.0.