Crossword clues for congruence
The Collaborative International Dictionary
Congruence \Con"gru*ence\, n. [L. congruentia: cf. OF.
cornguence.]
Suitableness of one thing to another; agreement; consistency.
--Holland.
Douglas Harper's Etymology Dictionary
mid-15c., from Latin congruentia "agreement, harmony, congruity," from congruentem (nominative congruens), present participle of congruere "to come together" (see congruent). Related: Congruency.
Wiktionary
n. 1 The quality of agreeing or corresponding; being suitable and appropriate. 2 (context mathematics number theory English) a relation between two numbers indicating they give the same remainder when divided by some given number 3 (context mathematics geometry English) being isometric — roughly, the same size and shape 4 (context algebra English) more generally: any (l en equivalence relation) defined on an (l en algebraic structure) which is preserved by (l en operation operations) defined by the structure
WordNet
n. the quality of agreeing; being suitable and appropriate [syn: congruity, congruousness] [ant: incongruity, incongruity]
Wikipedia
In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.
More formally, two sets of points are called congruent if, and only if, one can be transformed into the other by an isometry, i.e., a combination of rigid motions, namely a translation, a rotation, and a reflection. This means that either object can be repositioned and reflected (but not resized) so as to coincide precisely with the other object. So two distinct plane figures on a piece of paper are congruent if we can cut them out and then match them up completely. Turning the paper over is permitted.
In elementary geometry the word congruent is often used as follows. The word equal is often used in place of congruent for these objects.
- Two line segments are congruent if they have the same length.
- Two angles are congruent if they have the same measure.
- Two circles are congruent if they have the same diameter.
In this sense, two plane figures are congruent implies that their corresponding characteristics are "congruent" or "equal" including not just their corresponding sides and angles, but also their corresponding diagonals, perimeters and areas.
The related concept of similarity applies if the objects differ in size but not in shape.
Congruence (symbol: ≅) is the state achieved by coming together, the state of agreement. The Latin meaning “I meet together, I agree”. As an abstract term, congruence means similarity between objects. Congruence, as opposed to approximation, is a relation which implies a species of equivalence.
In general relativity, a congruence (more properly, a congruence of curves) is the set of integral curves of a (nowhere vanishing) vector field in a four-dimensional Lorentzian manifold which is interpreted physically as a model of spacetime. Often this manifold will be taken to be an exact or approximate solution to the Einstein field equation.
In the theory of smooth manifolds, a congruence is the set of integral curves defined by a nonvanishing vector field defined on the manifold.
Congruences are an important concept in general relativity, and are also important in parts of Riemannian geometry.
Usage examples of "congruence".
Ninety-eight percent genetic congruence, only five million years since the last common ancestor, which… Yes.
The man smiled back and fed them into the reader, waiting a few seconds while the machine read the data, scanned the two Belters for congruence, and consulted the central files.
If we lose congruence with time also, our chances of ever getting back would appear to be remarkably slight.
He estimates we can make the return trip without losing congruence as long as we dont tie our time constant to a fixed point of reference.
Again, dismissing time's changes, I find considerable congruence with reality.
Another had examined the rhythmic structure of Julius Caesar's Latin and discovered the most striking congruences with the results of well-known studies of the intervals in Byzantine hymns.
It is this deeper likeness which makes things, that are either the inevitabilities of human poetry or the accidental congruences of all tales, ring alike.
Though actual congruences (of form + sense) occur in unrelated real languages, and it is impossible in constructing imaginary languages from a limited number of component sounds to avoid such resemblances (if one tries to – 1 do not), it remains remarkable that nasc is the word for 'ring' in Gaelic (Irish: in Scottish usually written nasg).
He knew better than to be fooled by the apparent congruences, but it helped to remind himself of the obvious differences.
To be sure, there are natural congruences and proprieties which are generally observed.
However this may be, there are congruences and dispositions which seem appropriate in given contexts.
Every weapon of cryptanalytic science—which in the stratospheric realm of this solution drew heavily upon mathematics, using group theory, congruences, Poisson distributions—was thrown into the fray.
Environmental regularities are the result of a conjoint history, a congruence that unfolds from a long history of codetermination" (Embodied mind, p.