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pseudoreflection

noun

Etymology

From pseudo- + reflection.

  1. derived from reflexiō
  2. derived from reflection,reflexion
  3. inherited from refleccion,refleccioun,refleccioune,reflection
  4. prefixed as pseudoreflection — “pseudo + reflection”

Definitions

  1. An invertible linear transformation of a finite-dimensional vector space such that it is…

    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.
    • A linear transformation g∈BL(V) is a pseudoreflection if rank (g-I)=1.
    • It will be convenient to introduce two generalizations of the notion of pseudoreflection.

The neighborhood

Vish — recursive loop

No curated loop yet for pseudoreflection. Loops are being traced one word at a time while the ingestion pipeline matures.

sense glosses and etymology drawn from English Wiktionary · source · CC-BY-SA