scholarly journals Formulas for Powers of the Hyperbolic Tangent with an Application to Higher-Order Tangent Numbers

2005 ◽  
Vol 35 (4) ◽  
pp. 1217-1231 ◽  
Author(s):  
J.S. Lomont
Keyword(s):  
Higher Order ◽  
Hyperbolic Tangent ◽  
Order Tangent

scholarly journals Higher Order Tangent Spaces and Influence Functions

2014 ◽  
Vol 29 (4) ◽  
pp. 679-686 ◽  
Author(s):  
Aad van der Vaart
Keyword(s):  
Higher Order ◽  
Influence Functions ◽  
Order Tangent

A higher-order tangent map and a conjecture on the higher Nash blowup of curves

2020 ◽  
Author(s):  
Enrique Chávez-Martínez ◽  
Daniel Duarte ◽  
Arturo Giles Flores
Keyword(s):  
Higher Order ◽  
Order Tangent

Higher-order tangent derivative and its applications to sensitivity analysis

2021 ◽  
Author(s):  
Nguyen Le Hoang Anh ◽  
Nguyen Manh Truong Giang ◽  
Nguyen Vy Thong
Keyword(s):  
Sensitivity Analysis ◽  
Higher Order ◽  
Order Tangent

GEOMETRIC STUDY OF HAMILTON'S VARIATIONAL PRINCIPLE

1991 ◽  
Vol 03 (04) ◽  
pp. 379-401 ◽  
Author(s):  
JOSÉ F. CARIÑENA ◽  
CARLOS LÓPEZ
Keyword(s):  
Variational Calculus ◽  
Higher Order ◽  
Lagrangian Mechanics ◽  
Lagrange Equations ◽  
Order Case ◽  
Helmholtz Conditions ◽  
Higher Order Tangent Bundle ◽  
Order Tangent ◽  
Geometric Study

Higher order tangent bundle geometry and sections along maps are used in Geometrical Mechanics in order to develop an intrinsic variational calculus. The role of variational derivative as the bundle operator associated to exterior differential on the set of trajectories is remarked. Euler-Lagrange equations and Poincaré-Cartan form are rederived in this way. Helmholtz conditions for the inverse problem of Lagrangian Mechanics are geometrically obtained for the general higher order case.

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