Search Results for ""

If a prime number divides a norm but not the bases of the norm, it is itself a norm.

The Fermat number F_n is prime iff 3^(2^(2^n-1))=-1 (mod F_n).

A finite division algebra is a field.

The geometric centroid of a quadrilateral lamina is the center of its Wittenbauer's parallelogram.

A recursive primality certificate for a prime p. The certificate consists of a list of 1. A point on an elliptic curve C y^2=x^3+g_2x+g_3 (mod p) for some numbers g_2 and ...

Let the characteristic polynomial of an n×n complex matrix A be written in the form P(lambda) = |lambdaI-A| (1) = ...

Let f:M->N be a geodesic mapping. If either M or N has constant curvature, then both surfaces have constant curvature (Ambartzumian 1982, p. 26; Kreyszig 1991).

A matching is a maximum matching iff it contains no augmenting path.

If M^3 is a closed oriented connected 3-manifold such that every simple closed curve in M lies interior to a ball in M, then M is homeomorphic with the hypersphere, S^3.

If two complementary Plücker characteristics are equal, then each characteristic is equal to its complement except in four cases where the sum of order and class is 9.