In mathematics, specifically in group theory, residue-class-wise affine groups are certain permutation groups acting on Z {\displaystyle \mathbb {Z} }...

semigroup Arithmetic dynamics Juggler sequence Modular arithmetic Residue-class-wise affine group It is also known as the 3n + 1 problem (or conjecture), the...

{\displaystyle P} and Q {\displaystyle Q} , and thus division between residue classes modulo n {\displaystyle n} , performed using the extended Euclidean...

a relation similar to that of a linear function (or more accurately, an affine function): CRC ⁡ ( x ⊕ y ) = CRC ⁡ ( x ) ⊕ CRC ⁡ ( y ) ⊕ c {\displaystyle...

artificial neural networks. Their activations can thus be computed as an affine transformation, with matrix multiplication followed by a bias offset (vector...

Cartan–Hadamard manifolds? Chern's conjecture (affine geometry) that the Euler characteristic of a compact affine manifold vanishes. Chern's conjecture for...

alignment and residues and gaps are kept together, traits more representative of biological sequences. The Gotoh algorithm implements affine gap costs by...

variables with coefficients in another ring, the coordinate ring of an affine algebraic variety, and the ring of integers of a number field. Examples...