Solvability
21Galois, Évariste — ▪ French mathematician born October 25, 1811, Bourg la Reine, near Paris, France died May 31, 1832, Paris French mathematician famous for his contributions to the part of higher algebra now known as group theory (group). His theory provided a… …
22Multiple-scale analysis — In mathematics and physics, multiple scale analysis (also called the method of multiple scales) comprises techniques used to construct uniformly valid approximations to the solutions of perturbation problems, both for small as well as large… …
23solubility — noun 1. the quantity of a particular substance that can dissolve in a particular solvent (yielding a saturated solution) • Derivationally related forms: ↑soluble • Topics: ↑solution • Hypernyms: ↑definite quantity 2. the property (of a problem or …
24John von Neumann — Von Neumann redirects here. For other uses, see Von Neumann (disambiguation). The native form of this personal name is Neumann János. This article uses the Western name order. John von Neumann …
25Group (mathematics) — This article covers basic notions. For advanced topics, see Group theory. The possible manipulations of this Rubik s Cube form a group. In mathematics, a group is an algebraic structure consisting of a set together with an operation that combines …
26Quadratic reciprocity — The law of quadratic reciprocity is a theorem from modular arithmetic, a branch of number theory, which shows a remarkable relationship between the solvability of certain quadratic equations modulo different prime moduli.Although it allows us to… …
27Gaussian integer — In number theory, a Gaussian integer is a complex number whose real and imaginary part are both integers. The Gaussian integers, with ordinary addition and multiplication of complex numbers, form an integral domain, usually written as Z[i]. The… …
28Diophantine set — In mathematics, a Diophantine equation is an equation of the form P(x1, ..., xj, y1, ..., yk)=0 (usually abbreviated P(x,y)=0 ) where P(x,y) is a polynomial with integer coefficients. A Diophantine set is a subset S of Nj [1] so that for some… …
29Fifteen puzzle — A solved 15 puzzle The 15 puzzle (also called Gem Puzzle, Boss Puzzle, Game of Fifteen, Mystic Square and many others) is a sliding puzzle that consists of a frame of numbered square tiles in random order with one tile missing. The puzzle also… …
30Dyadic transformation — xy plot where x = x0 ∈ [0, 1] is rational and y = xn for all n. The dyadic transformation (also known as the dyadic map, bit shift map, 2x mod 1 map, Bernoulli map, doubling map or sawtooth… …
