congruence
Definition
- Noun:
- The quality of agreeing; being suitable and appropriate: Congruence refers to the state or quality of being in agreement, harmony, or correspondence. It implies that different elements fit together well or are compatible.
- (Mathematics) A relation between two numbers indicating they give the same remainder when divided by a given modulus: In mathematics, congruence is a specific equivalence relation used in modular arithmetic.
Usage Examples
- Noun (General Agreement):
- There was a remarkable congruence between the witness's account and the physical evidence.
- The project's success depended on the congruence of its goals with the company's overall mission.
- Noun (Mathematics):
- In modular arithmetic, we say 17 is congruent to 5 modulo 12, written as 17 ≡ 5 (mod 12).
Advanced Usage
- "In congruence with": In agreement or harmony with something.
- The new policy was developed in congruence with international standards.
- "Achieve congruence": To successfully bring different elements into agreement.
- The therapist helped the couple achieve greater congruence in their communication styles.
Variants and Related Words
- Congruent (adj): Being in agreement or harmony; corresponding. (Mathematics: Having identical shape and size).
- Their views on the matter were congruent.
- Congruent triangles have the same angles and side lengths.
- Congruency (n): A less common variant synonymous with 'congruence', especially in mathematical contexts.
- Incongruence (n): The state of not being in agreement or harmony; inconsistency.
Synonyms
- Agreement: Harmony or accordance in opinion or feeling.
- Consistency: Conformity in the application of something, often so that logic is maintained.
- Harmony: The quality of forming a pleasing and consistent whole.
- Conformity: Compliance with standards, rules, or laws.
- Correspondence: A close similarity, connection, or equivalence.
Antonyms
- Incongruity: The state of being incongruous or out of place.
- Disagreement: Lack of consensus or approval.
- Inconsistency: The fact or state of being inconsistent; contradiction.
- Discord: Disagreement between people.
Related Concepts
- Alignment: Arrangement in a straight line or correct relative positions; often used metaphorically like congruence.
- Coherence: The quality of being logical and consistent.
- Compatibility: The state in which two things are able to exist or occur together without conflict.
Noun
-
the quality of agreeing; being suitable and appropriate
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