diagonalisation

daɪˌæɡənəlaɪˈzeɪʃən
Translation Definition
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Translation of diagonalisation into German

Noun

1.

mathematics

TECH.UK
process of converting a matrix to diagonal form
TECH.UK
Diagonalisation Diagonalisierung
  • The diagonalisation of the matrix simplified the calculation of its powers..Die Diagonalisation der Matrix vereinfachte die Berechnung ihrer Potenzen
2.

logic

TECH.UK
argument technique in proofs by contradiction
TECH.UK
Diagonalisierung
  • Diagonalisation shows the list is not exhaustive.Die Diagonalisierung zeigt, dass die Liste nicht erschöpfend ist.
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Synonyms and analogies of diagonalisation in English

Examples of diagonalisation in a sentence

  • The course covered diagonalisation in linear algebra.
  • Diagonalisation is used to prove the theorem's limitations.
  • The mathematician employed diagonalisation to challenge the hypothesis.

Translations of "diagonalisation" in Context ordered by category and frequency

Diagonalisierung

The concept of diagonalisation is foundational in linear algebra and matrix theory.

Das Konzept der Diagonalisierung ist grundlegend in der linearen Algebra und Matrixtheorie.

The process of diagonalisation helps in solving linear equations efficiently.

Der Prozess der Diagonalisierung hilft dabei, lineare Gleichungen effizient zu lösen.

After diagonalisation, the matrix becomes easier to analyze and manipulate.

Nach der Diagonalisierung wird die Matrix einfacher zu analysieren und zu manipulieren.

Many processes in physics rely on the diagonalisation of matrices for simplification.

Viele Prozesse in der Physik basieren auf der Diagonalisierung von Matrizen zur Vereinfachung.

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diagonalisation: Examples and translations in context

Researchers often utilize diagonalisation to study systems with multiple variables.

Forscher nutzen oft die Diagonalisierung, um Systeme mit mehreren Variablen zu studieren.

In linear algebra, diagonalisation can reveal important properties of matrices.

In der linearen Algebra kann die Diagonalisierung wichtige Eigenschaften von Matrizen offenbaren.

One requirement for diagonalisation is that the matrix must be square.

Eine Voraussetzung für die Diagonalisierung ist, dass die Matrix quadratisch sein muss.

Achieving diagonalisation requires specific conditions to be met by the matrix.

Um die Diagonalisierung zu erreichen, müssen spezifische Bedingungen von der Matrix erfüllt werden.

The diagonalisation of a matrix can significantly ease the process of calculations.

Die Diagonalisierung einer Matrix kann den Berechnungsprozess erheblich erleichtern.

Matrix diagonalisation reduces computation time in various mathematical applications.

Die Diagonalisierung von Matrizen verkürzt die Rechenzeit in verschiedenen mathematischen Anwendungen.

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