almost everywhere: meaning, definition, pronunciation and examples

C1
UK/ˌɔːl.məʊst ˈev.ri.weə/US/ˌɑːl.moʊst ˈev.ri.wer/

Formal/Academic/Technical

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Quick answer

What does “almost everywhere” mean?

In all but a negligible (typically zero-measure) set of points or locations.

Audio

Pronunciation

Definition

Meaning and Definition

In all but a negligible (typically zero-measure) set of points or locations; true for virtually every instance.

In measure theory: except on a set of Lebesgue measure zero. In everyday language: in nearly all places or instances; so widely that exceptions are insignificant.

Dialectal Variation

British vs American Usage

Differences

No significant lexical or syntactic differences. Usage is identical in mathematical and general formal contexts.

Connotations

Equally technical and precise in both varieties.

Frequency

Slightly more frequent in American academic writing due to larger volume of publications, but proportionally identical.

Grammar

How to Use “almost everywhere” in a Sentence

[Property/Verb] + almost everywhere + [in/on Domain]Almost everywhere + [clause]Be + almost everywhere

Vocabulary

Collocations

strong
holds almost everywheretrue almost everywhereconverges almost everywherecontinuous almost everywheredefined almost everywherebounded almost everywhere
medium
found almost everywhereoccurs almost everywhereapplied almost everywhere
weak
almost everywhere in the worldalmost everywhere you look

Examples

Examples of “almost everywhere” in a Sentence

adverb

British English

  • The service is available almost everywhere in the UK.
  • The theorem states the limit exists almost everywhere.

American English

  • You can find that brand almost everywhere in the US.
  • The sequence converges almost everywhere on the interval.

Usage

Meaning in Context

Business

Rare. Possibly in data analysis: 'The metric improved almost everywhere in the network.'

Academic

Common in mathematics (analysis, probability), physics, and formal logic. 'The function is differentiable almost everywhere.'

Everyday

Informal, hyperbolic: 'There are coffee shops almost everywhere in this city.'

Technical

Primary domain. Precise mathematical term meaning 'except on a set of measure zero.'

Vocabulary

Synonyms of “almost everywhere”

Strong

almost surely (in probability theory)up to a set of measure zero

Neutral

nearly everywherevirtually everywhere

Weak

practically everywherejust about everywhere

Vocabulary

Antonyms of “almost everywhere”

nowherealmost nowhereon a set of positive measure

Watch out

Common Mistakes When Using “almost everywhere”

  • Using it to mean 'in most places' (a majority) instead of 'all but a negligible set'.
  • Writing 'almost every where' as separate words.
  • Using in informal contexts where 'nearly everywhere' is more natural.

FAQ

Frequently Asked Questions

No. 'Everywhere' means with no exceptions. 'Almost everywhere' allows for exceptions, provided they are insignificant within a specific framework (e.g., a set of points of zero length or zero probability).

Yes, but often hyperbolically (e.g., 'There's construction almost everywhere!'). For literal non-technical meaning, 'nearly everywhere' or 'just about everywhere' is more common.

It is commonly abbreviated as 'a.e.' (from the Latin 'almost everywhere' via 'almost every', sometimes 'p.p.' for the French 'presque partout').

They are analogous concepts from different fields. 'Almost everywhere' is used in measure theory (dealing with spaces). 'Almost surely' is used in probability theory (dealing with events) and means 'with probability one'.

In all but a negligible (typically zero-measure) set of points or locations.

Almost everywhere is usually formal/academic/technical in register.

Almost everywhere: in British English it is pronounced /ˌɔːl.məʊst ˈev.ri.weə/, and in American English it is pronounced /ˌɑːl.moʊst ˈev.ri.wer/. Tap the audio buttons above to hear it.

Phrases

Idioms & Phrases

  • (There's) almost everywhere you turn/look (informal extension)

Learning

Memory Aids

Mnemonic

Think of a map almost completely painted one colour; the few tiny unpainted dots are the 'not everywhere' part.

Conceptual Metaphor

COMPLETENESS IS A SOLID SURFACE; EXCEPTIONS ARE HOLES (negligible holes in an otherwise solid surface).

Practice

Quiz

Fill in the gap
In measure theory, if two functions agree , they are considered equivalent for integration purposes.
Multiple Choice

In a mathematical context, 'almost everywhere' means the property holds:

almost everywhere: meaning, definition, pronunciation and examples | Lingvocore