Topic
Mixture theory
About: Mixture theory is a research topic. Over the lifetime, 616 publications have been published within this topic receiving 19350 citations.
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26 Jul 1995
TL;DR: In this article, a general methodology for design and analysis of mixture optimisation experiments is developed, focusing on multivariate investigation of the zone of optimal solution properties as a function of the ion composition and the total ionic concentration of the solution.
Abstract: This study demonstrates that nutrient solutions can be defined as 'mixture systems'. A general methodology for design and analysis of mixture optimisation experiments is developed. The emphasis is centred on multivariate investigation of the zone of optimal solution properties as a function of the ion composition and the total ionic concentration of the solution. The study of the effects of ion interaction on well defined solution properties is also possible by this multivariate approach. This work is a valuable tool in mineral nutritional research, because for the first time the chemical feasibility conditions of such solution, combined with additional chemical, physiological or economical constraints, form the foundation of the statistical experimental design theory, which makes the optimisation of complex mixtures of ions in relation to well-defined response variables possible.
17 citations
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06 Jul 2005TL;DR: It is demonstrated by the simulation experiments that the DMOSL algorithm can automatically determine the number of Gaussians in a sample data set, and also lead to a good estimation of the parameters in the original mixture.
Abstract: Gaussian mixture modelling is a powerful tool for data analysis. However, the selection of number of Gaussians in the mixture, i.e., the mixture model or scale selection, remains a difficult problem. In this paper, we propose a new kind of dynamic merge-or-split learning (DMOSL) algorithm on Gaussian mixture such that the number of Gaussians can be determined automatically with a dynamic merge-or-split operation among estimated Gaussians from the EM algorithm. It is demonstrated by the simulation experiments that the DMOSL algorithm can automatically determine the number of Gaussians in a sample data set, and also lead to a good estimation of the parameters in the original mixture. Moreover, the DMOSL algorithm is applied to the classification of Iris data.
17 citations
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TL;DR: In this article, the use of suitable entropy production inequalities for each constituent in mixture theory, in addition to an entropy production inequality for the mixture as a whole, is examined for a mixture of ideal fluids, each of which may have different temperatures.
Abstract: : This is an exploratory paper and is concerned with the use of suitable entropy production inequalities for each constituent in mixture theory, in addition to an entropy production inequality for the mixture as a whole. Consequences of the restrictions imposed by the separate inequalities on constitutive equations are examined for a mixture of any number of ideal fluids, each of which may have different temperatures. Results are also given for a mixture of any number of materials with elastic and viscous properties. Although the idea of entropy production inequalities for each constituent is not generally accepted, it is found that the ones used here place only mild additional restrictions on the constitutive equations, the main effect being further restrictions on the forms of the partial free energy functions for each constituent. (Author)
16 citations
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TL;DR: In this paper, a thermodynamic theory of an isothermal two-fluid immiscible flow in a porous medium is constructed in the framework of mixture theory without the phase separation assumption.
16 citations
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TL;DR: In this paper, a model drawn from molecular mixture theory is proposed to model the physical properties of composites as a function of filler content, which can be used to determine interfacial strengths from appropriate mechanical and thermal measurements and predict one set from another set of data.
Abstract: Physical properties of composites as a function of filler content have been described in the past through models requiring the solution of macroscopic equations of motion for an elastic continuum or, on a more empirical level, by the assumption of various compositional averaging schemes. We discuss a model drawn from our molecular mixture theory. This allows us to avoid the formal problems attending concentrated suspensions and introduces molecular filler-medium interaction parameters. Comparisons with experimental material and empirical equations involving bulk modulus and thermal expansivity will be given. The theory opens the possibility of determining interfacial strengths from appropriate mechanical and thermal measurements and of predicting one set from another set of data.
16 citations