Information om | Engelska ordet CONGRUENCES

Exempel på hur man kan använda CONGRUENCES i en mening

• In particular, Roger Penrose has credited Ivor Robinson as an important early influence in the development of twistor theory, through his construction of so-called Robinson congruences.
• An algebra is called congruence permutable if every pair of its congruences permutes; likewise a variety is said to be congruence-permutable if all its members are.
• Srinivasa Ramanujan first discovered that the partition function has nontrivial patterns in modular arithmetic, now known as Ramanujan's congruences.
• Divisor functions were studied by Ramanujan, who gave a number of important congruences and identities; these are treated separately in the article Ramanujan's sum.
• In a Lorentzian manifold, such as a spacetime model in general relativity (which will usually be an exact or approximate solution to the Einstein field equation), congruences are called timelike, null, or spacelike if the tangent vectors are everywhere timelike, null, or spacelike respectively.
• In general, it was shown that irrotational Born motion corresponds to those Fermi congruences of which any worldline can be used as baseline (homogeneous Fermi congruence).
• Of the mathematical articles, there is a paper by Freeman Dyson where he defined the rank of a partition in an effort to prove combinatorially the partition congruences earlier discovered by Srinivasa Ramanujan.
• Note that the criteria for determining if a pseudoprime is a strong pseudoprime is by congruences to powers of a base, not by inequality to the arithmetic mean of neighboring pseudoprimes.
• Atkin, Ken Ono in 2000 proved that there are such Ramanujan congruences modulo every integer coprime to 6.
• Hence, the counterexample to CLP had been known for nearly ten years, it is just that nobody knew why it worked! All the results prior to the theorem above made use of some form of permutability of congruences.
• This Nine Yana modality also allows for the discrete explication of distinct experiential sadhana lineages in its own right; inclusivity to one of the nine yana is according to a large group of similarities and congruences of the conduct and 'view' (Tibetan Wylie: lta ba; pronounced: lawa) to be cultivated therein.
• Kummer's work on the congruences for the class numbers of cyclotomic fields was generalized in the twentieth century by Iwasawa in Iwasawa theory and by Kubota and Leopoldt in their theory of p-adic zeta functions.

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