Word Pronunciation & Dictionary

differentiable manifold

Word Rarity Very rare

Frequency: Zipf frequency 2.30 in modern English

Syllables: dif-fer-en-tiable -man-i-fold
IPA

37

Scrabble Score

22

Letters

7

Syllables

12

Unique Chars

Meaning

noun

A manifold that is locally similar enough to a Euclidean space (ℝⁿ) to allow one to do calculus;

noun

A manifold that is locally similar enough to a Euclidean space (ℝⁿ) to allow one to do calculus; (more formally) a manifold that can be equipped with a differentiable structure (an atlas of ℝⁿ-compatible charts).

Example Sentences

"The charts (homeomorphisms) that make up any differentiable structure of a differentiable manifold are required to be such that the transition from one to another is differentiable."
"Whitney showed that a differentiable manifold Mᵏ can be regularly mapped on the vector space R#123;2k#125;."
"The phase space of a dynamical system will be taken to be a differentiable manifold."
"In this chapter we introduce differentiable manifolds and smooth maps. A differentiable manifold' is a topological space on which there are defined coordinates allowing basic notions of differentiability."

Inflected Forms

differentiable manifolds (plural) differential manifold (alternative)

Questions

What does differentiable manifold mean?: A manifold that is locally similar enough to a Euclidean space (ℝⁿ) to allow one to do calculus;

How to pronounce differentiable manifold

Open the pronunciation page — Open the Speakur entry for “differentiable manifold”.
Read the phonetic spelling — Read the IPA spelling () so you know which sounds to aim for.
Play the audio — Click Play to hear reference audio for “differentiable manifold”.
Repeat and practice — Say “differentiable manifold” aloud, matching stress and vowels until it feels natural.