Several Issues of Tooth Generating Process by Two-Parametric Families of Generating Lines

2015 ◽  
pp. 97-116 ◽  
Author(s):  
E. Trubachev
Keyword(s):  
Parametric Families

scholarly journals BOUNDARY ONE-POINT FUNCTIONS, SCATTERING, AND BACKGROUND VACUUM SOLUTIONS IN TODA THEORIES

2003 ◽  
Vol 18 (06) ◽  
pp. 879-899 ◽  
Author(s):  
V. A. FATEEV ◽  
E. ONOFRI
Keyword(s):  
Exact Solutions ◽  
Ground State ◽  
S Matrix ◽  
Parametric Families ◽  
Vacuum Solutions ◽  
Ground State Energies

The parametric families of integrable boundary affine Toda theories are considered. We calculate boundary one-point functions and propose boundary S-matrices in these theories. We use boundary one-point functions and S-matrix amplitudes to derive boundary ground state energies and exact solutions describing classical vacuum configurations.

scholarly journals DESENVOLVIMENTO DE FAMÍLIAS PARAMÉTRICAS PARA MODELAGEM BIM/DEVELOPMENT OF PARAMETRIC FAMILIES FOR BIM MODELING

2021 ◽  
Vol 7 (2) ◽  
pp. 15670-15674
Author(s):  
Miguel Batista de Oliveira ◽  
Felipe Eder Britz Dotto Kalb
Keyword(s):  
Parametric Families

scholarly journals Four-Pose Synthesis of Angle-Symmetric 6R Linkages

2015 ◽  
Vol 7 (4) ◽  
Author(s):  
Gábor Hegedüs ◽  
Josef Schicho ◽  
Hans-Peter Schröcker
Keyword(s):  
Rotation Angle ◽  
Dual Quaternions ◽  
Revolute Joints ◽  
Factorization Theory ◽  
Theory Of Motion ◽  
Kinematic Loops ◽  
Parametric Families ◽  
Synthesis Approach ◽  
Relative Motions

We use the recently introduced factorization theory of motion polynomials over the dual quaternions and cubic interpolation on quadrics for the synthesis of closed kinematic loops with six revolute joints that visit four prescribed poses. The resulting 6R linkages are special in the sense that the relative motions of all links are rational. They exhibit certain elegant properties such as symmetry in the rotation angles and, at least in theory, full-cycle mobility. Our synthesis approach admits either no solution or two one-parametric families of solutions. We suggest strategies for picking good solutions from these families. They ensure a fair coupler motion and optimize other linkage characteristics such as total rotation angle or linkage size. A comprehensive synthesis example is provided.

scholarly journals A Selective Overview of Skew-Elliptical and Related Distributions and of Their Applications

Symmetry ◽  
2020 ◽  
Vol 12 (1) ◽  
pp. 118 ◽  
Author(s):  
Chris Adcock ◽  
Adelchi Azzalini
Keyword(s):  
Multivariate Statistics ◽  
Distribution Theory ◽  
Background Information ◽  
General Knowledge ◽  
Symmetric Distributions ◽  
Present Contribution ◽  
Parametric Families

Within the context of flexible parametric families of distributions, much work has been dedicated in recent years to the theme of skew-symmetric distributions, or symmetry-modulated distributions, as we prefer to call them. The present contribution constitutes a review of this area, with special emphasis on multivariate skew-elliptical families, which represent the subset with more immediate impact on applications. After providing background information of the distribution theory aspects, we focus on the aspects more relevant for applied work. The exposition is targeted to non-specialists in this domain, although some general knowledge of probability and multivariate statistics is assumed. Given this aim, the mathematical profile is kept to the minimum required.

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