Use congruences in a sentence - Example Sentences for congruences
"It was in the process of his deep investigations of the arithmetic of these fields (for prime number 'n') – and more precisely, because of the failure of unique factorization in their ring of integers – that Ernst Kummer first introduced the concept of an ideal number and proved his celebrated Kummer's congruences."
There is a pair of principal null congruences (one 'ingoing' and one 'outgoing').
Then x^2+ay^2-bz^2=0 has a solution, and taking congruences (mod 4) leads to a contradiction.
"Mathematician Srinivasa Ramanujan is credited with discovering that ""congruences"" in the number of partitions exist for integers ending in 4 and 9."
We can also use factor bases to help us find congruences of squares more quickly.
(For simultaneous congruences when the moduli are not pairwise coprime, the method of successive substitution can often yield solutions.)
Divisor functions were studied by Ramanujan, who gave a number of important congruences and identity (mathematics).
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The word congruences
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