Results 31 to 40 of about 95,031 (330)
Gelfond's Method for Algebraic Independence [PDF]
Transactions of the American Mathematical Society, 1975 This paper extends Gelfond’s method for algebraic independence to fields K K with transcendence type ⩽ τ \leqslant \tau . The main results show that the elements of a transcendence basis for K K and at least two more numbers from a prescribed set are algebraically independent over
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Solutions of Ternary Problems of Conditional Probability with Applications to Mathematical Epidemiology and the COVID-19 Pandemic [PDF]
International Journal of Mathematical, Engineering and Management Sciences, 2020 A normalized version of the ubiquitous two-by-two contingency matrix is associated with a variety of marginal, conjunctive, and conditional probabilities that serve as appropriate indicators in diagnostic testing.
Ali Muhammad Ali Rushdi +1 more
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Algebraic Independence and Blackbox Identity Testing [PDF]
, 2011 Algebraic independence is an advanced notion in commutative algebra that generalizes independence of linear polynomials to higher degree. Polynomials {f_1, ..., f_m} \subset \F[x_1, ..., x_n] are called algebraically independent if there is no non-zero ...
Beecken, Malte +2 more
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Entanglement and algebraic independence in fermion systems
, 2014 In the case of systems composed of identical particles, a typical instance in quantum statistical mechanics, the standard approach to separability and entanglement ought to be reformulated and rephrased in terms of correlations between operators from ...
Benatti, F., Floreanini, R.
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Expressions for values of the gamma function
, 2004 This paper presents expressions for gamma values at rational points with the denominator dividing 24 or 60. These gamma values are expressed in terms of 10 distinct gamma values and rational powers of $\pi$ and a few real algebraic numbers.
Vidunas, Raimundas
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Hecke algebras with independent parameters [PDF]
Journal of Algebraic Combinatorics, 2015 We study the Hecke algebra $\H(\bq)$ over an arbitrary field $\FF$ of a Coxeter system $(W,S)$ with independent parameters $\bq=(q_s\in\FF:s\in S)$ for all generators. This algebra is always linearly spanned by elements indexed by the Coxeter group $W$. This spanning set is indeed a basis if and only if every pair of generators joined by an odd edge in
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Advanced Engineering Materials, EarlyView.A numerical model resulting from irreversible thermodynamics for describing transport processes is introduced, focusing on thermodynamic activity gradients as the actual driving force for diffusion. Implemented in CUDA C++ and using CalPhaD methods for determining the necessary activity data, the model accurately simulates interdiffusion in aluminum ...
Ulrich Holländer +3 more
wiley +1 more source
Annals of GIS, 2022 Geography and geosciences deal with phenomena that span spatial scales from the molecular to the planetary, and temporal scales from instantaneous to billions of years. A strong reductionist tradition in geosciences and spatial sciences tempts us to seek
Jonathan D. Phillips
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, 2009 In analogy with the Riemann zeta function at positive integers, for each finite field F_p^r with fixed characteristic p we consider Carlitz zeta values zeta_r(n) at positive integers n. Our theorem asserts that among the zeta values in {zeta_r(1), zeta_r(
Chieh-Yu Chang +4 more
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Schwinger's Picture of Quantum Mechanics IV: Composition and independence
, 2020 The groupoids description of Schwinger's picture of quantum mechanics is continued by discussing the closely related notions of composition of systems, subsystems, and their independence.
Ciaglia, Florio M. +3 more
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