Hypothesis test of statistical model adequacy in the rotatable experiment design
Authors: Sidnyaev N.I., Govor S.A. | Published: 16.02.2016 |
Published in issue: #1(64)/2016 | |
DOI: 10.18698/1812-3368-2016-1-3-16 | |
Category: Mathematics and Mechanics | Chapter: Probability Theory and Mathematical Statistics | |
Keywords: factor, regression model, variance, adequacy, hypothesis, significance, rotatability, coefficient, center point of design, response, experiment |
Solution of terminal tasks for second-order systems under state constraints
Authors: Kasatkina T.S. | Published: 16.02.2016 |
Published in issue: #1(64)/2016 | |
DOI: 10.18698/1812-3368-2016-1-17-26 | |
Category: Mathematics and Mechanics | Chapter: Differential Equations and Mathematical Physics | |
Keywords: terminal control, phase curve, state constraints |
To the problem of partial guessing of formal languages
Authors: Ismagilov R.S., Mastikhina A.A. | Published: 04.04.2016 |
Published in issue: #2(65)/2016 | |
DOI: 10.18698/1812-3368-2016-2-3-15 | |
Category: Mathematics and Mechanics | Chapter: Mathematical Logics, Algebra, and Theory of Numbers | |
Keywords: partial guessing, graph, automata |
The influence of anomalous observations on the least squares estimate of the parameter of the autoregressive equation with random coefficient
Authors: Goryainov V.B., Goryainova E.R. | Published: 04.04.2016 |
Published in issue: #2(65)/2016 | |
DOI: 10.18698/1812-3368-2016-2-16-24 | |
Category: Mathematics and Mechanics | Chapter: Mathematical Logics, Algebra, and Theory of Numbers | |
Keywords: random coefficient autoregressive model, influence functional, gross-error sensitivity, additive outliers, replacement outliers |
Construction of approximate solutions for a class of first-order nonlinear differential equations in the analyticity region
Authors: Pchelova A.Z. | Published: 15.06.2016 |
Published in issue: #3(66)/2016 | |
DOI: 10.18698/1812-3368-2016-3-3-15 | |
Category: Mathematics and Mechanics | Chapter: Differential Equations and Mathematical Physics | |
Keywords: nonlinear ordinary differential equation, movable singular point, Cauchy problem, analytical approximate solution, error of the approximate solution, perturbation of the initial condition, analyticity region |
To the problem of solution symmetry for linear matrix differential equations
Authors: Fetisov D.A.  | Published: 15.06.2016 |
Published in issue: #3(66)/2016 | |
DOI: 10.18698/1812-3368-2016-3-16-26 | |
Category: Mathematics and Mechanics | Chapter: Differential Equations and Mathematical Physics | |
Keywords: linear matrix differential equation, symmetric solution, Cauchy problem |
On the input-to-state stabilization of affine systems
Authors: Kavinov A.V. | Published: 15.06.2016 |
Published in issue: #3(66)/2016 | |
DOI: 10.18698/1812-3368-2016-3-27-41 | |
Category: Mathematics and Mechanics | Chapter: Differential Equations and Mathematical Physics | |
Keywords: input-to-state stabilization, stabilization in the presence of disturbances, affine system, transformation to the equivalent canonical form, Lyapunov function, system with control |
The solution of the mixed boundary value problem of Dirichlet- Neumann for the Poisson equation in a multidimensional infinite layer
Authors: Algazin O.D., Kopaev A.V. | Published: 15.06.2016 |
Published in issue: #3(66)/2016 | |
DOI: 10.18698/1812-3368-2016-3-42-56 | |
Category: Mathematics and Mechanics | Chapter: Mathematical Physics | |
Keywords: Fourier transform, Poisson equation, mixed boundary value problem, tempered distributions, Green’s function |
Exact Solution to the Dirichlet Problem for Degenerating on the Boundary Elliptic Equation of Tricomi - Keldysh Type in the Half-Space
Authors: Algazin O.D. | Published: 12.10.2016 |
Published in issue: #5(68)/2016 | |
DOI: 10.18698/1812-3368-2016-5-4-17 | |
Category: Mathematics and Mechanics | Chapter: Mathematical Physics | |
Keywords: Fourier transform, Tricomi equation, Dirichlet problem, approximation to the ide"Шу, self-similar solution, similarйу method, generalized functions of slow growth |
Optimization of Singular Values of Parameter Dependent Matrices using Hybrid Algorithms
Authors: Sulimov V.D., Shkapov P.M., Sulimov A.V. | Published: 12.10.2016 |
Published in issue: #5(68)/2016 | |
DOI: 10.18698/1812-3368-2016-5-46-66 | |
Category: Mechanics | Chapter: Theoretical Mechanics | |
Keywords: singular value, criterion function, Lipschitzian constant, smoothing approximation, Peano curve, global optimization, Metropolis algorithm, hybrid algorithm |