Pseudoreflection

noun

noun ·Rare ·Advanced level

Definitions

Noun
  1. 1
    An invertible linear transformation of a finite-dimensional vector space such that it is not the identity transformation, has a finite (multiplicative) order, and fixes a hyperplane.

    "That is, t′x+y=0 is the pseudo-reflection of tx+y=0 if the ideal points (ρ′,1,0),(ρ,1,0) on the lines are a pair in the involution ρρ′=-h."

Example

More examples

"That is, t′x+y=0 is the pseudo-reflection of tx+y=0 if the ideal points (ρ′,1,0),(ρ,1,0) on the lines are a pair in the involution ρρ′=-h."

Etymology

From pseudo- + reflection.

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Data sourced from Wiktionary, WordNet, CMU, and other open linguistic databases. Updated March 2026.