1 edition of **Parametric Continuation and Optimal Parametrization in Applied Mathematics and Mechanics** found in the catalog.

- 301 Want to read
- 40 Currently reading

Published
**2003** by Springer Netherlands in Dordrecht .

Written in English

- Differential Equations,
- Mathematics,
- Integral equations,
- Computer science,
- Mechanics

The optimal continuation parameter provides the best conditions in a linearized system of equations at any moment of the continuation process. In this book the authors consider the best parameterization for nonlinear algebraic or transcendental equations, initial value or Cauchy problems for ordinary differential equations (ODEs), including stiff systems, differential-algebraic equations, functional-differential equations, the problems of interpolation and approximation of curves, and for nonlinear boundary-value problems for ODEs with a parameter. They also consider the best parameterization for analyzing the behavior of solutions near singular points. Parametric Continuation and Optimal Parametrization is one of the first books in which the best parametrization is regarded systematically for a wide class of problems. It is of interest to scientists, specialists and postgraduate students working in the field of applied and numerical mathematics and mechanics.

**Edition Notes**

Statement | by V. I. Shalashilin, E. B. Kuznetsov |

Contributions | Kuznetsov, E. B. |

Classifications | |
---|---|

LC Classifications | QA372 |

The Physical Object | |

Format | [electronic resource] / |

Pagination | 1 online resource (viii, 228 p.) |

Number of Pages | 228 |

ID Numbers | |

Open Library | OL27079741M |

ISBN 10 | 9048163919, 9401725373 |

ISBN 10 | 9789048163915, 9789401725378 |

OCLC/WorldCa | 851377773 |

We let w describe the rotation around the torus' main axis, "the hole", and let v describe the rotation around the torus' body. Abstract PDF KB An efficient geometric build-up algorithm, for protein structure determination with, sparse exact distance data. Crossref Developing portfolios of water supply transfers. One of a set of independent variables that express the coordinates of a point. Checking data for normality[ edit ] You can check whether data are normally distributed using a Q-Q plot.

Journal of the Operations Research Society of China Parameter is sometimes used incorrectly when it does not denote a range of variation, as if it were a technical-sounding synonym for characteristic. The intelligent orthogonal optimization is performed until error value of each variable is equal to zero or is equivalent, which is the optimal robust solution. Nonparametric regression and semiparametric regression methods have been developed based on kernelssplinesand wavelets. Crossref The flexible alignment of molecular structures using simulated annealing with weighted Lagrangian multipliers. Crossref Euclidean distance matrix completion problems.

Mathematical Programming That work gave a systematic account of the parametric continuation method. You already know the area enclosed by that other curve, and you can show that the Jacobian is constant. For example, the hypothesis a that a normal distribution has a specified mean and variance is statistical; so is the hypothesis b that it has a given mean but unspecified variance; so is the hypothesis c that a distribution is of normal form with both mean and variance unspecified; finally, so is the hypothesis d that two unspecified continuous distributions are identical. Electronic Notes in Discrete Mathematics 50,

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The antenna pattern and the curve about convergence of error have been given. This is a non-parametric test where the null hypothesis is that your data represent a normally distributed random variable and so if the result of this test is not significant you can assume your data are normally distributed.

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In other words, a larger sample size can be required to draw conclusions with the same degree of confidence. Crossref Protein structure determination by non-parametric regression and knowledge-based constraints.

Even this simple example can be useful in some situations. Computational Optimization and Applications With this perspective considerable attention is paid to ways of introducing the gener alised coordinates, the theory of finite rotation, methods of calculating the kinetic energy, the energy of accelerations, the potential energy of forces of various nature, and the resisting forces.

Open Research Areas in Distance Geometry. Previously this method was considered as a way to construct solution sets of nonlinear problems with a parameter.

Crossref The flexible alignment of molecular structures using simulated annealing with weighted Lagrangian multipliers. Distance Geometry on the Sphere. Such a hypothesis, for obvious reasons, is called parametric. Handbook of Global Optimization, Biophysical Reviews and Letters n02, At present, both at home and abroad, the studies on automatic optimization in cutting preprocessing are relatively weak.

Statistics A quantity, such as a mean, that is calculated from data and describes a population. The sentence A budget is a framework that defines the financial parameters within which an organization operates was considered acceptable by 81 percent of the Usage Panel in our survey.

You can also check for normality using a Kolmogorov-Smirnov Test. Mathematics a. Crossref Hyperbolic smoothing and penalty techniques applied to molecular structure determination.

Also, as a side notethe absolute value of the value ofgives the focal length. The use of non-parametric methods may be necessary when data have a ranking but no clear numerical interpretation, such as when assessing preferences.

It is common to use a Gaussian or normal distribution as a reference point for these parameters and to describe other distributions where they deviate from this. For a set of an image circle boundary points by image pre-processing, firstly this paper introduces a substitute variant curve approximate reputably while picking out the irregular boundary points in all points, until to fit the terminate condition.

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The following discussion is taken from Kendall's. Crossref A continuation approach to mode-finding of multivariate Gaussian mixtures and kernel density estimates. Definitions[ edit ] The term "nonparametric statistics" has been imprecisely defined in the following two ways, among others.

What remains is to find an effective algorithm to draw the torus as a mosaic of surfaces.Parametric Optimal Design Of Uncertain Dynamical Systems Joseph T.

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Parametric polymorphism, a feature of some type systems in computer programming. Arc Length of Parametric Curves We’ve talked about the following parametric representation for the circle: x = a cos t y = a sin t We noted that 2x2 + 2y = a and that as t increases the point (x(t),y(t)) moves around the circle in the counterclockwise direction.

Get this from a library! Parametric continuation and optimal parametrization in applied mathematics and mechanics. [V I Shalashilin; E B Kuznetsov]. Multidimensional Parametrization and Numerical Solution of Systems of Nonlinear Equations.

Parametric Continuation and Optimal Parametrization in Applied Mathematics and Mechanics. Book.