Congruence Meaning and Definition
Congruence
Pronunciation
/kənˈɡruːəns/
Part of Speech
Noun
Definition
In mathematics, a congruence is an equivalence relation on sets and functions, where two sets or functions are considered congruent if and only if they induce the same homomorphism on the quotient set.
Etymology
The word “congruence” comes from the Latin “congruere”, meaning “to come into harmony” or “to be fitting”, and has been used in mathematics since the 17th century to describe the relationship between sets and functions.
Usage Notes
Congruence is often used in mathematics, particularly in group theory and abstract algebra, to describe the relationship between sets and functions. It is also used in other fields, such as computer science and physics, to describe the relationship between different elements or systems.
Cultural References
- The concept of congruence has been used in philosophical and logical contexts to describe the relationship between different concepts and ideas.
Idiomatic Expressions or Phrases
- –
Related Words or Phrases
- Equivalence
- Homomorphism
- Quotient set
Collocations
- Congruence relation
- Congruence class
- Congruence homomorphism
Frequency of Use
The word “congruence” is commonly used in academic and technical contexts, particularly in mathematics and computer science, but is less common in everyday conversation.
Common Misspellings
- congradence
- congurence