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

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 corporate finance, the pecking order theory (or pecking order model) postulates that "firms prefer to finance their investments internally, using retained...

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...

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...

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...

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...

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

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....

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...

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...

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...

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...

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

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

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 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...

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

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...

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 mathematical logic, model theory is the study of the relationship between formal theories (a collection of sentences in a formal language expressing...

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...

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...

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 mathematics, specifically order theory, the join of a subset S {\displaystyle S} of a partially ordered set P {\displaystyle P} is the supremum (least...

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...

others on computer screens Order (journal), an academic journal on order theory Order, an arrangement of items in sequence Order, the result of enumeration...

In mathematics, and especially in order theory, a nucleus is a function F {\displaystyle F} on a meet-semilattice A {\displaystyle {\mathfrak {A}}} such...

structure. In first-order logic, only theories with a finite model can be categorical. Higher-order logic contains categorical theories with an infinite...