congruence

Thân thiện

The two triangles are in perfect congruence.

Definition

1. 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.

Học thuật

Noun

1. the quality of agreeing; being suitable and appropriate

Từ đồng nghĩa

• congruity
• congruousness