mathematics, a hyper-finite field is an uncountable field similar in many ways to finite fields. More precisely a field F is called hyper-finite if it is uncountable...

factor of type II and also hyperfinite Hyper-finite field, an uncountable field similar in many ways to finite fields Uniformly hyperfinite algebra, a C*-algebra...

2307/1970438. JSTOR 1970438. Ax, James (1968). "The elementary theory of finite fields". Annals of Mathematics. Series 2. 88 (2): 239–271. doi:10.2307/1970573...

infinitesimal numbers. A hyperreal number x {\displaystyle x} is said to be finite if, and only if, | x | < n {\displaystyle |x|<n} for some integer n {\displaystyle...

type of group used was the multiplicative group of a finite field, later also Jacobians of (hyper)elliptic curves were used. If the hyperelliptic curve...

K} . Algebraically closed fields and separably closed fields are always PAC. Pseudo-finite fields and hyper-finite fields are PAC. A non-principal ultraproduct...

plane of order 6. He related the existence of a finite projective plane of order n to the existence of a hyper-Graeco-Latin square." Lam (1991). There are...

used in mathematical logic and theoretical computer science, a string is a finite sequence of symbols that are chosen from a set called an alphabet. A primary...

method Finite element method Finite volume method for unsteady flow Fluid animation Immersed boundary method Lattice Boltzmann methods List of finite element...

paper "Finite Automata and Their Decision Problems". Soon, using nondeterministic automata, they were able to re-prove Kleene's result that finite state...

well-controlled magnetic field. An infinitely long cylindrical electromagnet has a uniform magnetic field inside, and no magnetic field outside. A finite length electromagnet...

conjecture. Let V be a smooth projective variety over a field k which is finitely generated over its prime field. Let ks be a separable closure of k, and let G...

affine or arbitrarily parameter dependent evolution problems with finite element, finite volume or local discontinuous Galerkin discretizations. Further...

the product of a finite interval and a three-sphere of radius r 0 {\displaystyle r_{0}} ). We have K = 0 {\displaystyle K=0} on the hyper-surfaces of constant...

behind the hyper-bent functions is to maximize the minimum distance to all Boolean functions coming from bijective monomials on the finite field GF(2n),...

artificial intelligence (AI). Altair Engineering is the creator of the HyperWorks CAE software product, among numerous other software packages and suites...

76 (1994), no. 2, 365–416. Dunajski, Maciej; Mason, Lionel J. (2000), "Hyper-Kähler hierarchies and their twistor theory", Communications in Mathematical...

infinite, unless we cut it off at finite energy and momentum in some way. Similar loop divergences occur in other quantum field theories. The solution was to...

projective special linear group of the 2-dimensional vector space over the finite field with 11 elements L2(11). It was discovered in 1977 by Branko Grünbaum...

Mathematically, the operation of taking prefix sums can be generalized from finite to infinite sequences; in that context, a prefix sum is known as a partial...

practice because of the intractability of natural decision problems and the finite computational resources available for making them. The concept of bounded...

Deterministic finite automaton (DFA) Also called a finite-state machine. All real computing devices in existence today can be modeled as a finite-state machine...

instructions (i.e. a program), finite in length, for the procedure." Thus every computable function must have a finite program that completely describes...

combination. Note that by definition, a linear combination involves only finitely many vectors (except as described in the § Generalizations section. However...

solution to the finite basis problem for a finite group of transformations G acting on a finite-dimensional vector space over a field of characteristic...

Cyclotomic fast Fourier transform — for FFT over finite fields Methods for computing discrete convolutions with finite impulse response filters using the FFT:...

the geometrical locus consisting of the boundaries is called the sliding (hyper)surface. In the context of modern control theory, any variable structure...

HyperSizer is computer-aided engineering (CAE) software used for stress analysis and sizing optimization of metallic and composite structures. Originally...

path-connected or locally path-connected). Note that in the definition of hyper-connectedness, the closed sets don't have to be disjoint. This is in contrast...

zero-point field. Each point in space makes a contribution of E = ⁠ħω/2⁠, resulting in a calculation of infinite zero-point energy in any finite volume;...