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...

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...

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...

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." Suetake (2004). There...

HyperX is computer-aided engineering (CAE) software. HyperX is the successor to HyperSizer, which was originally developed at NASA Langley and was licensed...

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

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...

1215/S0012-7094-94-07613-8. 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...

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),...

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...

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

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...

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...

iterated exponentiation of x with y, arrow operations, reihenalgebra and hyper-n. This implements the leftmost-innermost (one-step) strategy. For more...

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...

calculate the interacting pair distribution functions g(r) at zero and finite temperatures. Comparison of the calculated g(r) with results from Quantum...

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

where the total size reading population has been normalized to 1. A typical finite-dimensional mixture model is a hierarchical model consisting of the following...

constraint logic programming is that of finite domains. Values of variables are in this case taken from a finite domain, often that of integer numbers....

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

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

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

example pictured in this section.) An orthogonal array is linear if X is a finite field Fq of order q (q a prime power) and the rows of the array form a subspace...

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...

function that can be computed by a mathematician with a pen and paper using a finite set of simple algorithms, can be computed by a Turing machine. Hypercomputers...