congruences
States of agreement
Congruences is the plural of congruence, which describes agreement or correspondence between things.
In geometry, congruence means figures have identical shape and size—triangles are congruent when their sides and angles match exactly.
In number theory, a congruence is a relationship between integers that have the same remainder when divided by a given number.
More generally, congruence suggests harmony or compatibility: the congruence between his words and actions.
Made of separable units
- arithmeticMathematics of basic operations
- integersNumbers without fractional components
- residueMatter left behind
- classesInstructional sessions or groupings
modulo · divisibility · remainder · equivalence · prime · factorization · theorem · ring
Three-sided plane figures
- similarityState of being alike
- theoremDemonstrated logical conclusion
- proofDemonstration of truth
- correspondingMatching in character
sides · angles · SAS · ASA · SSS · transformations · reflections · rotations
Exchanged written communication
- accordHarmony between parties
- alignmentCorrect relative positioning
- compatibilityMutual suitability between things
- consistencyReliable adherence to standards
harmony · conformity · match · fit · coherence · synchrony · unity · concordance
Quality of being genuine
- alignmentCorrect relative positioning
- self-consistencyFreedom from internal contradiction
- valuesPrinciples held worthwhile
- beliefsAccepted truths, personal
behavior · integrity · genuineness · wholeness · integration · cognitive · dissonance · inner
modular
Made of separable units
- arithmeticMathematics of basic operations
- integersNumbers without fractional components
- residueMatter left behind
classes · modulo · divisibility · remainder · equivalence · prime · factorization · theorem · ring · theory
triangles
Three-sided plane figures
- similarityState of being alike
- theoremDemonstrated logical conclusion
- proofDemonstration of truth
corresponding · sides · angles · SAS · ASA · SSS · transformations · reflections · rotations · translations
correspondence
Exchanged written communication
- accordHarmony between parties
- alignmentCorrect relative positioning
- compatibilityMutual suitability between things
consistency · harmony · conformity · match · fit · coherence · synchrony · unity · concordance · consensus
authenticity
Quality of being genuine
- alignmentCorrect relative positioning
- self-consistencyFreedom from internal contradiction
- valuesPrinciples held worthwhile
beliefs · behavior · integrity · genuineness · wholeness · integration · cognitive · dissonance · inner · harmony
- number theoryprime numbers, prime, composite, integer, divisor
- number sums
- formal logicformula, postulate, quantifiers, axiom, variable
congruencesdiscrepancies
Differences where agreement expected
incongruences · mismatches · inconsistencies · disagreements · disparities
congruencesirregularities
Deviations from expected patterns
anomalies · aberrations · inconsistencies · contradictions · incoherences
congruencesincongruences
Lack of harmony between parts
dissimilarities · asymmetries · irregularities · disproportions