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The mathematical approach for the solution of the equilibrium model is based on the theory of characteristics.
Implicit boundary condition procedure based on the theory of characteristics for hyperbolic systems of equations is employed.
So far, for n ≥ 3 there are no results on the theory of characteristics for (1.3) in the following cases: ( E + C + ) All characteristics are positive but some are greater than 1 and others are less than 1.
The present work is concerned with an application of the theory of characteristics to conservation laws with source terms in one space dimension, such as the Euler equations for reacting flows.
The theory of characteristics was adopted for the treatment of boundary conditions, resulting in a unified formulism using a newly defined reflection coefficient as a measure to quantify the wave reflection occurring at the interior and terminal nodes of the tree-like vascular structure.
A method to detect the discontinuity of a shock wave from computational fluid dynamics (CFD) data was developed based on the theory of characteristics and was adopted to replace the inaccurate method that involves observation of the location of steep spatial gradient with respect to the primitive variables, such as pressure.
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The classes of regular and strongly regular γ-generating matrices and J-inner matrix valued functions arose in the investigation of the matricial Nehari problem, bitangential interpolation problems, and inverse problems for canonical systems as well as the theory of characteristic functions of operators and operator nodes.
This view contradicted Lamarck's theory of acquired characteristics, which was a prevalent theory of heredity of the time.
The theory of imaging characteristics of the pin-hole collimator is presented and the designs of the pinhole aperture are discussed.
The proposed method includes a stage in which the theory of the characteristics of the materials was used and another one that involves solely computational development with the application of fuzzy logic.
Although initially sceptical of the Theory of Acquired Characteristics proposed by Jean Baptiste de Lamarck (1744 1829), Darwin gradually came to accept the idea [ 30].
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