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Applications of the method of linear programming were first seriously attempted in the late 1930s by the Soviet mathematician Leonid Kantorovich and by the American economist Wassily Leontief in the areas of manufacturing schedules and of economics, respectively, but their work was ignored for decades.
Then, the natural frequencies of asphalt track models are extracted by the method of linear perturbation.
The method of linear programming is applied by using the computer-based modelling program GAMS.
For the functional minimization we use the quasi-Newton method of linear search.
The parameters of the distribution model are derived using the method of linear moments.
By the method of linear interpolation, we get the temperature breakpoint of this oil is about 58 °C.
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To meet assumptions of normality, linearity, and homoscedasticity essential to methods of linear regression modeling, we logarithmically transformed IsoAsp, GAG, and protein values and used the D'Agostino and Pearson omnibus normality test to confirm a normal distribution.
In this chapter, we introduce the basic concepts and solution methods of linear systems.
From these intersections, combined properties closures have been constructed using conventional methods of linear programming.
In this paper, using the methods of linear algebra and matrix theory, we discuss the admissibility of linear estimators in model (1.1) under the matrix loss (1.2).
Such treatment makes it possible to apply the well-developed methods of linear functional analysis to (1.5) with a linear and bounded operator.
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