Speakur

Word Pronunciation & Dictionary

lipschitz condition

Word Rarity Very rare

Frequency: Zipf frequency 2.17 in modern English

Syllables
lip-s-chitz -con-di-tion
IPA
37
Scrabble Score
18
Letters
6
Syllables
11
Unique Chars

Meaning

noun

A property which can be said to be held by some point in the domain of a real-valued function if there exists a neighborhood of that point and a certain constant such that for any other point in that neighborhood, the absolute value of the difference of their function values is less than the product of the constant and the absolute value of the difference between the two points.

Etymology

Named after Rudolf Lipschitz (1832–1903), a German mathematician. It is called a "condition" because it is a sufficient (but not necessary) condition for continuity of a function.

Inflected Forms

Lipschitz conditions (plural)

Questions

What does lipschitz condition mean?
A property which can be said to be held by some point in the domain of a real-valued function if there exists a neighborhood of that point and a certain constant such that for any other point in that neighborhood, the absolute value of the difference of their function values is less than the product of the constant and the absolute value of the difference between the two points.
Where does lipschitz condition come from?
Named after Rudolf Lipschitz (1832–1903), a German mathematician. It is called a "condition" because it is a sufficient (but not necessary) condition for continuity of a function.

How to pronounce lipschitz condition

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