What is the difference between Strophic and Unitary?

The difference between strophic and unitary

is that “strophic” is using or containing strophes and “unitary” is having the quality of oneness.

strophic

unitary

Adjective

  • (prosody) Using or containing strophes.
  • (music) Of a song, composed so that every stanza is set to the same music.

Antonyms

  • (having each stanza set to the same music): through-composed

Adjective

  • Having the quality of oneness.
  • (government, of a system of government or administration) That concentrates power in a single body, rather than sharing it with more local bodies.
  • (mathematics, of an algebra) That contains an identity element.
  • (mathematics, linear algebra, mathematical analysis, of a matrix or operator) Whose inverse is equal to its adjoint.

Synonyms

  • (that contains an identity element): unital

Antonyms

  • (that concentrates power in a single body): federalist

Related terms

  • unitariness
  • unitarily
  • unitarity

Examples

  • If yes–no questions are CPs containing a null yes–no question operator in spec-CP, we can arrive at a unitary characterisation of questions as CPs with an interrogative specifier.
  • a unitary authority
  • a unitary state
  • The eigenvectors of an orthogonal or unitary operator, corresponding to different eigenvalues, are orthogonal.
  • In essence we are looking for some way to average the individual unitary matrices Uk. But a linear combination of unitary matrices does not remain unitary.
  • We then repeat the same procedure to the × block unitary matrix using two-level unitary matrices.

Noun

  • (Britain) A unitary council.
  • (mathematics) A unitary matrix or operator.

Examples

  • Outside the metropolitan areas most councils are now elected en bloc every four years.
  • Since ergodicity and mixing are expressible in terms of the induced Koopman unitaries they are not additional invariants.
  • Can unitaries in a unital C*-algebra with real rank zero be approximated by unitaries with finite spectrum?