Determinacy is a subfield of set theory, a branch of mathematics, that examines the conditions under which one or the other player of a game has a winning...

In mathematics, the axiom of determinacy (abbreviated as AD) is a possible axiom for set theory introduced by Jan Mycielski and Hugo Steinhaus in 1962...

Kinematic determinacy is a term used in structural mechanics to describe a structure where material compatibility conditions alone can be used to calculate...

is common in the study of determinacy and large cardinals, especially when considering axioms such as the axiom of determinacy that contradict the axiom...

projective determinacy is the special case of the axiom of determinacy applying only to projective sets. The axiom of projective determinacy, abbreviated...

necessary for stability. Christian Otto Mohr Flexibility method Kinematic determinacy Overconstrained mechanism Structural engineering Matheson, James Adam...

real determinacy Von Neumann–Bernays–Gödel axioms Continuum hypothesis and its generalization Freiling's axiom of symmetry Axiom of determinacy Axiom...

In mathematics, the axiom of real determinacy (abbreviated as ADR) is an axiom in set theory. It states the following: Axiom — Consider infinite two-person...

Information is an abstract concept that refers to something which has the power to inform. At the most fundamental level, it pertains to the interpretation...

theory, AD+ is an extension, proposed by W. Hugh Woodin, to the axiom of determinacy. The axiom, which is to be understood in the context of ZF plus DCR (the...

In descriptive set theory, the Borel determinacy theorem states that any Gale–Stewart game whose payoff set is a Borel set is determined, meaning that...

projective determinacy are hard to find. ZFC + {there are n Woodin cardinals: n is a natural number} is conservative over Z2 with projective determinacy[citation...

In economics, general equilibrium theory attempts to explain the behavior of supply, demand, and prices in a whole economy with several or many interacting...

then any set of ur-elements is equinumerous with a pure set. Borel determinacy is implied by the existence of all beths of countable index. Transfinite...

prove the two-dimensional Brouwer fixed-point theorem, and that the determinacy of higher-dimensional variants proves the fixed-point theorem in general...

ISBN 978-1-4398-4436-6. Bortiri, E.; Hake, S. (13 January 2007). "Flowering and determinacy in maize". Journal of Experimental Botany. 58 (5). Oxford University...

In mathematics, a moment problem arises as the result of trying to invert the mapping that takes a measure μ {\displaystyle \mu } to the sequence of moments...

that are not compatible with the axiom of choice, such as the axiom of determinacy. The axiom of choice is avoided in some varieties of constructive mathematics...

recursion, ∆0 2 determinacy, and the ∆1 1 Ramsey theorem are all equivalent to each other. Over RCA0, Σ1 1 monotonic induction, Σ0 2 determinacy, and the Σ1...

Structural engineering depends upon a detailed knowledge of loads, physics and materials to understand and predict how structures support and resist self-weight...

symbol of dentistry. The anonymous signature of James David Forbes. Determinacy (having a definite truth-value) in philosophical logic. In mathematics...

Adjunction Choice countable dependent global Constructibility (V=L) Determinacy Extensionality Infinity Limitation of size Pairing Power set Regularity...

e Topics in game theory Definitions Congestion game Cooperative game Determinacy Escalation of commitment Extensive-form game First-player and second-player...

Rohde, A; Beeckman, T (2008). "Flowering-time genes modulate meristem determinacy and growth form in Arabidopsis thaliana". Nature Genetics. 40 (12): 1489–92...

Berkeley. In 2001, he completed his PhD entitled Blackwell Determinacy about determinacy under supervision of Donald A. Martin and Ronald Björn Jensen...

added hypothesis that ZF is consistent. The axiom of determinacy The axiom of real determinacy AD+ Since 2000, logical independence has become understood...

Baire. This is related to the fact that ZFC proves Borel determinacy, but not projective determinacy. There are also generic extensions of L {\displaystyle...

for n = 2), where determinacy of such games was proven. The Knaster–Tarski theorem leads to a relatively simple proof of determinacy of parity games. Moreover...

contributions to the theory of inner models and determinacy. With Donald A. Martin, he proved projective determinacy, assuming the existence of sufficient large...

Lebesgue measure 0. If the axiom of determinacy holds then all sets of reals are Lebesgue-measurable. Determinacy is however not compatible with the axiom...