"class" in inglés with examples - Collocation dictionary inglés
- Juxtaposition stands for multiplication on the set of congruence classes or application of the group operation (as applicable)
- It was observed that the operations in the cipher (rotation and addition, both on 32-bit words) were somewhat biased over congruence classes mod 3.
- In other words, every congruence class except zero modulo p has a multiplicative inverse.
- It is a straightforward exercise to show that, under multiplication, the set of congruence classes modulo n which are relatively prime to n satisfy the axioms for an abelian group.
- Modulo 1 any two integers are congruent, i.e. there is only one congruence class.
- Modulo 2 there is only one relatively prime congruence class, 1, so is the trivial group.
- Modulo 4 there are two relatively prime congruence classes, 1 and 3, so the cyclic group with two elements.
- A specific partitioning attack called mod n cryptanalysis uses the congruence classes modulo some integer for partitions.
- It is also known that in each of the congruence classes 5, 6, 7 (mod 8), for any given k there are infinitely many square-free congruent numbers with k prime factors.
- Equivalently, the primes are evenly distributed (asymptotically) among each congruence class modulo d.
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