nontrivial zero
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Nontrivial — is the opposite of trivial. In contexts where trivial has a formal meaning, nontrivial is its antonym. It is a term common among communities of engineers and mathematicians, to indicate a statement or theorem that is not obvious or easy to prove … Wikipedia
nontrivial — /non triv ee euhl/, adj. 1. not trivial. 2. Math. noting a solution of a linear equation in which the value of at least one variable of the equation is not equal to zero. [1910 15; NON + TRIVIAL] * * * … Universalium
nontrivial — adjective /ˌnɒnˈtɹɪ.vi.əl/ a) Not trivial. b) Having at least one non zero variable … Wiktionary
nontrivial — ˌ adjective 1. : not trivial 2. : having the value of at least one variable or term not equal to zero … Useful english dictionary
Parity of zero — Zero objects, divided into two equal groups Zero is an even number. In other words, its parity the quality of an integer being even or odd is even. Zero fits the definition of even number : it is an integer multiple of 2, namely 0 × 2. As a… … Wikipedia
Ax–Kochen theorem — The Ax–Kochen theorem, named for James Ax and Simon B. Kochen, states that for each positive integer d there is a finite set Yd of prime numbers, such that if p is any prime not in Yd then every homogeneous polynomial of degree d over the p adic… … Wikipedia
metalogic — /met euh loj ik/, n. the logical analysis of the fundamental concepts of logic. [1835 45; META + LOGIC] * * * Study of the syntax and the semantics of formal languages and formal systems. It is related to, but does not include, the formal… … Universalium
Order-disorder — In quantum field theory and statistical mechanics in the thermodynamic limit, a system with a global symmetry can have more than one phase. For parameters where the symmetry is spontaneously broken, the system is said to be ordered. When the… … Wikipedia
Finite field — In abstract algebra, a finite field or Galois field (so named in honor of Évariste Galois) is a field that contains only finitely many elements. Finite fields are important in number theory, algebraic geometry, Galois theory, cryptography, and… … Wikipedia
List of algebraic structures — In universal algebra, a branch of pure mathematics, an algebraic structure is a variety or quasivariety. Abstract algebra is primarily the study of algebraic structures and their properties. Some axiomatic formal systems that are neither… … Wikipedia
Category of rings — In mathematics, the category of rings, denoted by Ring, is the category whose objects are rings (with identity) and whose morphisms are ring homomorphisms (preserving the identity). Like many categories in mathematics, the category of rings is… … Wikipedia
