How do you pronounce "diagonalizations"?

The pronunciation is /daɪˌæɡənəlaɪˈzeɪʃənz/. Listen to American and British pronunciations on this page.

diagonalizations

Q: What does "diagonalizations" mean?

`n.`plural form of diagonalization; a mathematical technique used to construct sequences where each element differs from others in a specific position, commonly used in proof theory and computability theory

[US]/daɪˌæɡənəlaɪˈzeɪʃənz/

[UK]/daɪˌæɡənəlɪˈzeɪʃənz/

Translation

n.plural form of diagonalization; a mathematical technique used to construct sequences where each element differs from others in a specific position, commonly used in proof theory and computability theory

Phrases & Collocations

diagonalization argument

method of diagonalization

diagonalization technique

diagonalization proof

diagonalization process

diagonalization strategy

performing diagonalization

diagonalization algorithm

diagonalization theorem

Example Sentences

matrix diagonalizations simplify the computation of matrix powers.

simultaneous diagonalizations are possible if two matrices commute.

the proofs rely heavily on various abstract diagonalizations.

we must perform numerical diagonalizations to find the eigenvalues.

the algorithm performs rapid diagonalizations of large sparse matrices.

orthogonal diagonalizations are fundamental in principal component analysis.

block diagonalizations effectively reduce the complexity of the system.

hermitian diagonalizations ensure that all eigenvalues are real numbers.

these theorems establish the necessary conditions for diagonalizations.

cantor's diagonalizations proved that real numbers are uncountable.

effective diagonalizations require the matrix to have distinct eigenvectors.