unitary
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English[edit]
Pronunciation[edit]
Adjective[edit]
unitary
- Having the quality of oneness.
- 2004, Andrew Radford, Minimalist Syntax: Exploring the Structure of English, Cambridge, UK: Cambridge University Press, page 221:
- If yes–no questions are CPs containing a null yes–no question operator (a null counterpart of whether) in spec-CP, we can arrive at a unitary characterisation of questions as CPs with an interrogative specifier.
- (government, of a system of government or administration) That concentrates power in a single body, rather than sharing it with more local bodies.
- a unitary authority
- a unitary state
- (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.
- 1997, P. K. Suetin, Alexandra I. Kostrikin, Yuri I. Manin, translated by M. E. Alferieff, Linear Algebra and Geometry, page 137:
- The eigenvectors of an orthogonal or unitary operator, corresponding to different eigenvalues, are orthogonal.
- 2002, M. Klajman, J. A. Chambers, “A Novel Approximate Joint Diagonalization Algorithm”, in J. G. McWhirter, I. K. Proudler, editors, Mathematics in Signal Processing V, page 71:
- 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.
- 2008, Mikio Nakahara, Tetsuo Ohmi, Quantum Computing: From Linear Algebra to Physical Realizations, page 84:
- We then repeat the same procedure to the (d − 1) × (d − 1) block unitary matrix using (d − 2) two-level unitary matrices.
Synonyms[edit]
- (that contains an identity element): unital
Antonyms[edit]
- (antonym(s) of “that concentrates power in a single body”): confederal
Derived terms[edit]
- special unitary group
- unitary authority
- unitary council
- unitary government
- unitary group (group whose elements are unitary matrices or operators)
- unitary matrix
- unitary psychosis
- unitary representation
- unitary state
Related terms[edit]
Translations[edit]
having the quality of oneness
|
(government)
|
(mathematics)
Noun[edit]
unitary (plural unitaries)
- (UK) A unitary council.
- 2005, John Greenwood, Robert Pyper, David Wilson, New Public Administration in Britain:
- Outside the metropolitan areas most councils (English and Welsh counties, London boroughs, Scottish and Welsh unitaries, and Northern Ireland districts) are now elected en bloc every four years.
- (mathematics) A unitary matrix or operator.
- 1980, Michael Reed, Barry Simon, Methods of Modern Mathematical Physics, Volume 1: Functional Analysis, Revised and Expanded Edition page 243,
- Since ergodicity and mixing are expressible in terms of the induced Koopman unitaries they are not additional invariants.
- 2001, Huaxin Lin, An Introduction to the Classification of Amenable C*-Algebras[1], page 170:
- Can unitaries in a unital C*-algebra with real rank zero be approximated by unitaries with finite spectrum?
- 1980, Michael Reed, Barry Simon, Methods of Modern Mathematical Physics, Volume 1: Functional Analysis, Revised and Expanded Edition page 243,
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