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Interval Mathematics Applied to Critical Point Transitions [PDF]
Revista de Matemática: Teoría y Aplicaciones, 2012 The determination of critical points of mixtures is important for both practical and theoretical reasons in the modeling of phase behavior, especially at high pressure. The equations that describe the behavior of complex mixtures near critical points are
Benito A. Stradi
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Quaternions, Fréchet differentiation, and some equations of mathematical physics 1. Critical point theory [PDF]
Journal of Mathematical Analysis and Applications, 1979 AbstractFollowing an introduction discussing some properties of maps Q → Q and Q × Q → Q, where Q denotes the ring of quaternions, it is shown that many equations of mathematical physics can be written in this formalism. A concept of Fréchet differentiation is given in this setting, in a manner analogous to the usual definition.
Vadím Komkov
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A mathematical theory of the critical point of ferromagnetic Ising systems [PDF]
Physics ReportsWe develop a theory of the critical point of the ferromagnetic Ising model, whose basic objects are the ergodic (pure) states of the infinite system. It proves the existence of anomalous critical fluctuations, for dimension $ν=2$ and, under a standard assumption, for $ν=3$, for the model with nearest neighbor interaction, in a way which is consistent ...
Domingos H. U. Marchetti +2 more
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Mathematical modelling of color, texture kinetics and sensory attributes characterisation of ripening bananas for waste critical point determination [PDF]
Journal of Food Engineering, 2016 Abstract It is vital to correlate the instrumental and non-instrumental analyses of food products so as to determine the product waste critical point. Texture and color (instrumental) were determined by a universal testing machine (UTM) and colorimetry respectively to ascertain the kinetics of bananas during ripening. While deterministic, descriptive
Stella Nannyonga +4 more
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A MATHEMATICAL DESCRIPTION OF THE CRITICAL POINT IN PHASE TRANSITIONS
International Journal of Modern Physics C, 2013 Let y(x) be a smooth sigmoidal curve, y(n) be its nth derivative and {xm,i} and {xa,i}, i = 1,2,…, be the set of points where respectively the derivatives of odd and even order reach their extreme values. We argue that if the sigmoidal curve y(x) represents a phase transition, then the sequences {xm,i} and {xa,i} are both convergent and they have a ...
Ayşe Hümeyra Bilge, Önder Pekcan
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Comparing Teaching Methods of Mathematics at University Level
Education Sciences, 2019 According to the views of social constructivism, learning takes place when individuals engage socially to talk about and act on shared problems or interests.
Michael Voskoglou
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Mathematical description of the phase transition curve near the critical point [PDF]
Applicationes Mathematicae, 2007 Tomasz Sułkowski
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Modern Problems of MetalurgyThe problem of determining the temperatures of critical points of phase transformations in steels remains relevant due to the need to ensure high accuracy in assigning heat treatment modes. It is known that the position of critical points is largely determined by the chemical composition of the steel, in particular the content of alloying elements. The
О. І. Babachenko +4 more
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MATHEMATICAL MODELING OF THE ASYMPTOTIC NEAR THE CRITICAL POINT
Scientific and Technical Volga region Bulletin, 2016 С. В. Рыков +3 more
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Sharp hierarchical upper bounds on the critical two-point function for long-range percolation on Zd [PDF]
Journal of Mathematics and Physics, 2022 Consider long-range Bernoulli percolation on [Formula: see text] in which we connect each pair of distinct points x and y by an edge with probability 1 − exp(− β‖ x − y‖− d− α), where α > 0 is fixed and β ⩾ 0 is a parameter.
Tom Hutchcroft
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