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Independence, randomness and the axiom of choice [PDF]
Journal of Symbolic Logic, 1992 AbstractWe investigate various ways of introducing axioms for randomness in set theory. The results show that these axioms, when added to ZF, imply the failure of AC. But the axiom of extensionality plays an essential role in the derivation, and a deeper analysis may ultimately show that randomness is incompatible with extensionality.
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Monotonicity and independence axioms [PDF]
International Journal of Game Theory, 1980 Given σ, a family ofchoice problems, subsets ofR n representing the payoff vectors (measured in von Neumann-Morgenstern utility scales) attainable by a group ofn players, asolution f on σ associates to everyS in σ a unique elementf (S) ofS. Amonotonicity axiom specifies how the solution outcome should change when the
Thomson, W., Myerson, R. B.
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An innovative design of mega shaft boring machine (SBM) cutterhead based on TRIZ and AD theory
Advances in Mechanical Engineering, 2023 Cutterhead is the key component of the mega shaft boring machine (SBM), whose complex structure and huge size lead to high manufacturing difficulty and cost, and its reliability is difficult to guarantee under huge loads.
Jing Xiao +5 more
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On dependencies and independencies of fuzzy implication axioms [PDF]
Fuzzy Sets and Systems, 2010 The authors discuss complete interrelationships between eight main axioms of fuzzy implications. In particular, they discuss the following properties: neutrality of truth, exchange principle, ordering principle, strong negation principle, consequent boundary, identity principle, contrapositive symmetry and continuity, which are important in the ...
Shi, Yun +3 more
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Graphoids over Counterfactuals
Journal of Causal Inference, 2014 Augmenting the graphoid axioms with three additional rules enables us to handle independencies among observed as well as counterfactual variables. The augmented set of axioms facilitates the derivation of testable implications and ignorability conditions
Pearl Judea
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Evaluation of Human Ear Anatomy and Functionality by Axiomatic Design
Biomimetics, 2021 The design of the human ear is one of nature’s engineering marvels. This paper examines the merit of ear design using axiomatic design principles. The ear is the organ of both hearing and balance.
Pratap Sriram Sundar +2 more
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CSAKD: Determining Absolute Ligand Affinities From 19F NMR Chemical Shift Anisotropy
Angewandte Chemie, EarlyView.Affinity determination is crucial in drug discovery, yet remains difficult for weakly binding fragments. We introduce chemical shift anisotropy KD$K_{\text{D}}$ (CSAKD) by 19F$^{19}{\rm F}$ NMR relaxation experiments, a titration‐free method that requires no isotopic labeling.
Simon H. Rüdisser +2 more
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A Methodology for Disaster Tolerance Utilizing the Concepts of Axiomatic Design [PDF]
Journal of Systemics, Cybernetics and Informatics, 2008 Axiomatic Design (AD) is a methodology that utilizes customer needs as input and produces functional requirements, design parameters, and process variables through the use of matrix methods.
Diana M. Easton +3 more
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An axiomatic approach to a cork granulation facility design
MATEC Web of Conferences, 2018 In the conceptual step of any industrial design, there is a considerable amount of decisions that directly affect the quality of the final product. These decisions are often made with lack of knowledge about the subjects, limitative trains of thought and
Martins Diogo +5 more
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A Model in Which Well-Orderings of the Reals First Appear at a Given Projective Level, Part II
Mathematics, 2023 We consider the problem of the existence of well-orderings of the reals, definable at a certain level of the projective hierarchy. This research is motivated by the modern development of descriptive set theory.
Vladimir Kanovei, Vassily Lyubetsky
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