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What are congruences?

What are congruences? Here are some definitions.

Noun
  1. plural of congruence
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Although he does experiments, and understands them, he does not do them much, or value them more than congruences.
More momentously, geometric proofs are guided by our deep ability to see points, lines, shapes and their symmetries, similarities and congruences.
And there are many other stunning congruences of sight and sound.
The operation coded in this command solves a system of two congruences using the Chinese Remainder Theorem.
In the second part, we opt for another approach of these congruences which are represented by partial orders.
We consider quotients of the free monoids by congruences which preserve the commutative image of words.

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