dirichlet: meaning, definition, pronunciation and examples

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UK/dɪˈriːkleɪ/US/dɪˈriːkleɪ/

Technical

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Quick answer

What does “dirichlet” mean?

Relating to or derived from the mathematical work of Johann Peter Gustav Lejeune Dirichlet.

Audio

Pronunciation

Definition

Meaning and Definition

Relating to or derived from the mathematical work of Johann Peter Gustav Lejeune Dirichlet.

Pertaining to any mathematical concept, principle, theorem, or function named after the German mathematician Dirichlet, especially in number theory, analysis, and differential equations.

Dialectal Variation

British vs American Usage

Differences

No significant differences in usage or spelling; identical in both varieties.

Connotations

Neutral, purely technical term.

Frequency

Equally rare and specialised in both contexts, limited to advanced mathematical discourse.

Grammar

How to Use “dirichlet” in a Sentence

used as a premodifier (attributive adjective) to a mathematical noun

Vocabulary

Collocations

strong
Dirichlet theoremDirichlet functionDirichlet problemDirichlet kernelDirichlet boundary conditionDirichlet character
medium
Dirichlet seriesDirichlet principleDirichlet distributionDirichlet condition
weak
Dirichlet's workclassical Dirichlet

Examples

Examples of “dirichlet” in a Sentence

adjective

British English

  • The Dirichlet theorem is fundamental in analytic number theory.
  • Solving the Dirichlet problem requires careful application of harmonic functions.

American English

  • The Dirichlet boundary conditions were applied to the model.
  • A Dirichlet function is discontinuous at every point.

Usage

Meaning in Context

Business

Not used.

Academic

Used exclusively in advanced mathematics, physics, and engineering publications and lectures.

Everyday

Never used.

Technical

Core term in pure and applied mathematics.

Watch out

Common Mistakes When Using “dirichlet”

  • Mispronouncing as /daɪˈrɪkəlɛt/ or similar.
  • Attempting to use it as a standalone noun (e.g., 'a Dirichlet').

FAQ

Frequently Asked Questions

It is an adjective derived from the name of the mathematician Dirichlet, used to label specific theorems, functions, or problems in mathematics.

The standard English pronunciation is /dɪˈriːkleɪ/.

No, it is a highly specialised term only used in advanced mathematical contexts.

No, it is almost exclusively used attributively, as an adjective modifying a mathematical noun (e.g., Dirichlet theorem).

Relating to or derived from the mathematical work of Johann Peter Gustav Lejeune Dirichlet.

Dirichlet is usually technical in register.

Learning

Memory Aids

Mnemonic

Think: 'Diri-CH-let' like 'Directly' to a CHLet (a small mathematical letter).

Conceptual Metaphor

N/A

Practice

Quiz

Fill in the gap
The problem involves finding a harmonic function that matches given values on a boundary.
Multiple Choice

What field is the term 'Dirichlet' exclusively associated with?