What does a closed circle in an equality mean Meaning and Definition
What does a closed circle in an equality mean
Pronunciation
/ˈkloʊzd ˈsɜːr.kəl ɪn ɪˈkwɒl.ɪ.ti/
Part of Speech
Symbol
Definition
A mathematical symbol used to indicate that two values are identical or equivalent, represented by a closed circle (⊘) or an equals sign (=) with a circle around it.
Examples
- The equation 2+2 ⊘ 4 indicates that the result of the equation is identical to 4.
- In geometry, the symbol is used to denote congruent shapes.
Synonyms
- Identical
- Equivalent
Antonyms
- Different
- Inequal
Additional Information
The closed circle in an equality is a widely used symbol in mathematics, particularly in algebra and geometry. It is essential in expressing mathematical relationships and equations. The symbol is often used in combination with other mathematical symbols to convey specific meanings. In addition, the symbol is used in various fields such as physics, engineering, and computer science to represent equivalence or identity.
In some contexts, the symbol may be used to indicate that two values are not only equal but also interchangeable. For example, in algebra, the symbol can be used to denote that two expressions are equivalent and can be used interchangeably.
The closed circle in an equality has become a universal symbol in mathematics, and its meaning is widely recognized across different fields and disciplines.
Etymology
The origin of the closed circle in an equality symbol is unclear, but it is believed to have been introduced in the 19th century as a shorthand notation for “equal by definition”. Over time, the symbol gained widespread acceptance and has since become a standard notation in mathematics.
Usage Notes
The closed circle in an equality symbol is commonly used in mathematical expressions, equations, and identities. It is essential to use the symbol correctly and consistently to avoid confusion or misinterpretation.
Cultural References
The closed circle in an equality symbol has appeared in various forms of media, including films, television shows, and literature. It is often used as a symbol of intelligence, logic, or mathematical prowess.
Idiomatic Expressions or Phrases
There are no idiomatic expressions or phrases that include the closed circle in an equality symbol.
Related Words or Phrases
Equivalence, identical, equal, congruent
Collocations
The closed circle in an equality symbol often collocates with other mathematical symbols, such as =, ≠, >, and <.
Frequency of Use
The closed circle in an equality symbol is frequently used in mathematical expressions, equations, and identities. It is a common notation in academic and professional settings.
Common Misspellings
There are no common misspellings of the closed circle in an equality symbol, as it is a symbol rather than a word.