Order theory is a branch of mathematics that investigates the intuitive notion of order using binary relations. It provides a formal framework for describing...

In first-order logic, a first-order theory is given by a set of axioms in some language. This entry lists some of the more common examples used in model...

The New World Order (NWO) is a term used in several conspiracy theories which hypothesize a secretly emerging totalitarian world government. The common...

definition, every axiom is automatically a theorem. A first-order theory is a set of first-order sentences (theorems) recursively obtained by the inference...

In corporate finance, the pecking order theory (or pecking order model) postulates that the cost of financing increases with asymmetric information. Financing...

Look up Appendix:Glossary of order theory in Wiktionary, the free dictionary. This is a glossary of some terms used in various branches of mathematics...

Higher-order theories of consciousness postulate that consciousness consists in perceptions or thoughts about first-order mental states. In particular...

In mathematical order theory, an ideal is a special subset of a partially ordered set (poset). Although this term historically was derived from the notion...

an abstract structure studied in the mathematical subdisciplines of order theory and abstract algebra. It consists of a partially ordered set in which...

In the mathematical field of order theory, an element a of a partially ordered set with least element 0 is an atom if 0 < a and there is no x such that...

In mathematics, an element p of a partial order (P, ≤) is a meet prime element when p is the principal element of a principal prime ideal. Equivalently...

In the mathematical area of order theory, completeness properties assert the existence of certain infima or suprema of a given partially ordered set (poset)...

In mathematics, especially order theory, a partial order on a set is an arrangement such that, for certain pairs of elements, one precedes the other....

fallback Countryman line Order theory – Branch of mathematics Permutation – Mathematical version of an order change Prefix order – generalization of the...

first-order logic. A theory about a topic, such as set theory, a theory for groups, or a formal theory of arithmetic, is usually a first-order logic together...

the solution to the known problem and the 'first order' perturbation correction. Perturbation theory is used in a wide range of fields, and reaches its...

In the mathematical area of order theory, every partially ordered set P gives rise to a dual (or opposite) partially ordered set which is often denoted...

Order theory is a branch of mathematics that studies various kinds of objects (often binary relations) that capture the intuitive notion of ordering, providing...

In mathematics, an order in the sense of ring theory is a subring O {\displaystyle {\mathcal {O}}} of a ring A {\displaystyle A} , such that A {\displaystyle...

mathematics, the order of a finite group is the number of its elements. If a group is not finite, one says that its order is infinite. The order of an element...

expansions sometimes give good results, c.f. the exact solution, at lower order. In the theory of quantum electrodynamics (QED), in which the electron–photon interaction...

In the mathematical area of order theory, there are various notions of the common concept of distributivity, applied to the formation of suprema and infima...

organization in the field of model theory is the Association for Symbolic Logic. This page focuses on finitary first order model theory of infinite structures. The...

reverses the given order. This concept first arose in calculus, and was later generalized to the more abstract setting of order theory. In calculus, a function...

In the mathematical area of order theory, one often speaks about functions that preserve certain limits, i.e. certain suprema or infima. Roughly speaking...

logic. Second-order logic is in turn extended by higher-order logic and type theory. First-order logic quantifies only variables that range over individuals...

properties belong to matroid theory. Matroid theory was introduced by Hassler Whitney and studied as a part of order theory. It is now an independent field...

the water. Conduction of heat, the theory of which was developed by Joseph Fourier, is governed by another second-order partial differential equation, the...

element. From the ZFC axioms of set theory (including the axiom of choice) one can show that there is a well order of the reals. Also Wacław Sierpiński...

1, and the order relation ≤ (as well as equality, if this is not considered a logical symbol). In this language, the (first-order) theory of real closed...