Mathematical Foundations
The Mathematical Foundations of General Relativity Revisited
... the mathematical foundations of mathematical physics must be revisited within this for- mal framework, though striking it may look like for cer- tain apparently well established theories such as EM ...
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The Mathematical Foundations of Elasticity and Electromagnetism Revisited
... matical foundations of Elasticity (EL) and Electromagnetism (EM) by com- paring the structure of these two theories and examining with details their known couplings, in particular piezoelectricity and ...the ...
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Mathematical foundations of differential privacy
... Sensitive personal data collected about us has the potential to give great insight into human behaviour, but it remains a challenge to publish such information while guaranteeing (i) individuals’ privacy and (ii) data ...
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Mathematical Foundations of the Classical Maxwell Lorentz Electrodynamic Models in the Canonical Lagrangian and Hamiltonian Formalisms
... new mathematical foundations of classical Maxwell–Lorentz electrodynamic models and related charged particles interaction-radiation problems, and analyze the fundamental least action principles via ...
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The Mathematical Foundations of Gauge Theory Revisited
... the mathematical foundations of GT can be found in the references existing at this time on differential geometry and group theory, the best and most quoted one being the survey book [2] published by ...
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Stochastic Modified Equations and Dynamics of Stochastic Gradient Algorithms I: Mathematical Foundations
... the mathematical foundations of the stochastic modified equations (SME) framework for analyzing the dynamics of stochastic gradient algorithms, where the latter is approximated by a class of stochastic ...
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Algebraic Structures of Mathematical Foundations
... In a previous publication (Jones, 2014), we emphasized the use of a system of logic devised by Henry Siggins Leonard to facilitate the analysis of logical and mathematical structures. In this paper we shift the ...
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The Mathematical and Physical Theory of Rational Human Intelligence: Complete Empirical Digital Properties; Full Electrochemical Mechanical Model (Part I: Mathematical Foundations)
... digital mathematical structure and it is examined what exactly this ...digital mathematical procedure of “squaring” as a means of reducing two or more Equations to one is ...
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Physical Mathematical Foundations of the Penman Equation from the Perspective of the First Law of Thermodynamics and Energy Balance Theory
... first mathematical expression with physical basis for calculating potential evapotranspiration, and for this reason, in addition to its precision and for serving as the foundation of the Pen- man-Monteith ...
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New mathematical foundations for AI and Alife: Are the necessary conditions for animal consciousness sufficient for the design of intelligent machines?
... damental mathematical description of what is go- ing on in living systems and so be leaving it out of our AI and Alife ...some mathematical notion that we need in order to understand how they ...this ...
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New mathematical foundations for AI and Alife: Are the necessary conditions for animal consciousness sufficient for the design of intelligent machines?
... damental mathematical description of what is go- ing on in living systems and so be leaving it out of our AI and Alife ...some mathematical notion that we need in order to understand how they ...this ...
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Algorithms and the mathematical foundations of computer science
... Thus although there will be many instances in which our practices may dispose us to regard two programs or machines as representing the same algorithm, the question of whether such judgements can be made precise does not ...
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Common mathematical foundations of expected utility and dual utility theories
... It is evident that convexity in some underlying vector space is a key property in the system of axioms of the expected utility and dual utility models. Both theories have been developed using different ...
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On the mathematical foundations of political economy
... Soci al choi ce and t he t opol ogy of spaces of pr ef er ence, Advances i n Mat hemat i cs, Vol.. CHI CHI LNI SKY, G.[r] ...
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The mathematical foundations of projection techniques and their application to set theoretic estimation
... A set in a metric space is said to be boundedly compact if its intersection with an arbi- trary closed ball is empty or compact; a set in a normed vector space (n.v.s.) is said to be bou[r] ...
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Corporate Foundations and Ideology
... 12 The meaning of ‘political’ for Ford requires some clarification. While policy-oriented research was supported by large grants, Ford tried to steer away social scientists from open party political activity. ...
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ANTHROPOLOGICAL FOUNDATIONS OF THE CONCEPT OF
... philosophical foundations of criminology is one of the lead- ing topics in contemporary Western and national scientific ..."Philosophical Foundations of International Criminal Law: Cor- relating ...
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Foundations of Economic Science
... Economic policy can create it, and then the theory of the future economy will include a fourth law of the market in which the institutional rule will be stated as the Law of Solvency: th[r] ...
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Normative foundations of scarcity
... that mathematical optimization problems are crisp and clear, while ethical arguments are deep and murky, and have been discussed for centuries without ...when mathematical skills were seen to be necessary ...
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Foundations of Garbled Circuits
... Executing either game with an adversary requires one to specify the garbling scheme, adversary, security parameter, and side-information function.. Executing game PrvSim additionally req[r] ...
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