congruence Hear it!

congruence Definition

con·gru·ence (käŋ′gro̵̅o̅ əns, kän′-; kən gro̵̅o̅′əns)

noun

  1. the state or quality of being in agreement; correspondence; harmony
  2. Geom. the property of a plane or solid figure whereby it coincides with another plane or solid figure after it is moved, rotated, or flipped over
  3. Math. the relation between two integers each of which, when divided by a third (called the modulus), leaves the same remainder

Etymology: ME < L congruentia: see congruent

congruence Usage Examples

Preposition: of

interest: Dr. Greaves was skeptical: His view was that " there is almost no congruence of interest; the industry is interested in marketing.

Converse of object

  • ensure: They share the role of rotating the head of the humerus as well as ensuring joint congruence.
  • have: A loop is simple if it has no nontrivial congruences.
  • achieve: And how to achieve congruence between your work, your home and your personal needs.
  • seek: Attribution in sport and exercise psychology: Seeking congruence between theory, research and practice.
  • show: A typology of aims is given, showing both congruence and diversity between companies.
  • give: Given a right congruence r we represent S as a set of transformations of the congruence classes of r.

Adjective modifier

  • structural: Proving the correctness of these structural congruences is the task I hope to finish in the near future.
  • great: How can pilgrims bring these two realities into greater congruence?
  • considerable: The Panel believes it has succeeded in showing that there is considerable congruence between the three subject areas.
  • complete: Until then he could not act with complete congruence.
  • social: Finally, the social congruence, significance and utility is questionable.

Modifies a noun

  • relation: These are sometimes called ' congruence relations ' and they turn up frequently in mathematics.
  • subgroup: The congruence subgroup problem, in particular Serre's conjecture for arithmetic lattices in the real rank 1 simple Lie groups.
  • arithmetic: Then there is the modular congruence arithmetic of the great 19th century Friedrich Gauss.
  • class: The orders of the various congruence classes have also been determined.
  • theory: A theoretical perspective proposed by psychologists, emotional congruence theory, is helpful for understanding these negative effects.

Noun used with modifier

  • value: So here are the steps to achieve value congruence: Write down your values.
  • goal: The two sources of transaction costs identified are performance ambiguity and goal congruence.
  • bisimulation: Based on our algebraic theory we describe a category of models for the pi-calculus, and show that they all preserve bisimulation congruence.