VocabDictionary

null set

/ˈnʌl sɛt/intermediate Level

English Meaning & Definitions

1.noun

A set containing no elements; the empty set.

Example Sentences:
  • In set theory, the null set is a subset of every other set.
  • The intersection of two disjoint sets yields the null set.
2.noun

In measure theory, a set of measure zero.

Example Sentences:
  • A countable union of null sets is still a null set.
  • The function is continuous almost everywhere except on a null set.
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English Synonyms & Near Equivalents

English Antonyms & Opposites

Comprehensive Thesaurus Breakdown

Compare formal, informal, literary synonyms and register nuances for “null set”.

Thesaurus Entry
Cultural Origin & Etymology

Derived from the adjective 'null' (meaning 'zero', 'void', or 'invalid', from the Latin 'nullus', meaning 'none') combined with 'set' (from the French 'cette' or Latin 'secta', but used in mathematics in the sense of a collection). It gained widespread use in the late 19th and 20th centuries with the development of modern set theory by mathematicians like Georg Cantor.

Memory Aid & Mnemonic

Think of a 'null' (nothing) 'set' (group) — a group containing absolutely nothing, like an empty box.

Frequently Asked Questions About “null set

1. What is the meaning of “null set” in English?

In English, null set (noun) is defined as: “A set containing no elements; the empty set.”.

2. How do you use “null set” in a sentence?

In set theory, the null set is a subset of every other set.

3. What are English synonyms of “null set”?

Common synonyms include:empty set,void set,emptyset

4. What is the etymology and word origin of “null set”?

Derived from the adjective 'null' (meaning 'zero', 'void', or 'invalid', from the Latin 'nullus', meaning 'none') combined with 'set' (from the French 'cette' or Latin 'secta', but used in mathematics in the sense of a collection). It gained widespread use in the late 19th and 20th centuries with the development of modern set theory by mathematicians like Georg Cantor.