# unitary

## EnglishEdit

### PronunciationEdit

### AdjectiveEdit

**unitary**

- Having the quality of oneness.
**2004**, Andrew Radford, Minimalist Syntax: Exploring the Structure of English, University Press, 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**, M. E. Alferieff (translator), P. K. Suetin, Alexandra I. Kostrikin, Yuri I. Manin,*Linear Algebra and Geometry*, page 137,- The eigenvectors of an orthogonal or
**unitary**operator, corresponding to different eigenvalues, are orthogonal.

- The eigenvectors of an orthogonal or
**2002**, M. Klajman, J. A. Chambers,*A Novel Approximate Joint Diagonalization Algorithm*, 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*U*. But a linear combination of_{k}**unitary**matrices does not remain**unitary**.

- In essence we are looking for some way to average the individual
**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.

- We then repeat the same procedure to the (

#### SynonymsEdit

- (that contains an identity element): unital

#### AntonymsEdit

- (that concentrates power in a single body): confederal

#### Derived termsEdit

- unitary authority
- unitary council
- unitary group (group whose elements are unitary matrices or operators)
- unitary representation

#### Related termsEdit

#### TranslationsEdit

having the quality of oneness

(government)

(mathematics)

### NounEdit

**unitary** (*plural* **unitaries**)

- (Britain) 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.

- Outside the metropolitan areas most councils (English and Welsh counties, London boroughs, Scottish and Welsh

- (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.

- Since ergodicity and mixing are expressible in terms of the induced Koopman
**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?