Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
Galilean Tensor Calculus
View through CrossRef
Galilean transformations are expressed as transformations in a five-dimensional space, with a subsidiary condition, and a Galilean tensor calculus with a nonsingular metric is developed. It is shown that the homogeneous Galilei group is isomorphic to a subgroup of the pseudo-orthogonal group O(4, 1), which leaves the difference of two components of a vector invariant. A set of scalar variables for a Galilean-invariant S matrix is selected. A Galilean-invariant phase space is defined and a recursion relation derived.
Title: Galilean Tensor Calculus
Description:
Galilean transformations are expressed as transformations in a five-dimensional space, with a subsidiary condition, and a Galilean tensor calculus with a nonsingular metric is developed.
It is shown that the homogeneous Galilei group is isomorphic to a subgroup of the pseudo-orthogonal group O(4, 1), which leaves the difference of two components of a vector invariant.
A set of scalar variables for a Galilean-invariant S matrix is selected.
A Galilean-invariant phase space is defined and a recursion relation derived.
Related Results
Theoretical Foundations and Practical Applications in Signal Processing and Machine Learning
Theoretical Foundations and Practical Applications in Signal Processing and Machine Learning
Tensor decomposition has emerged as a powerful mathematical framework for analyzing multi-dimensional data, extending classical matrix decomposition techniques to higher-order repr...
Enhanced inherent strain modelling for powder-based metal additive manufacturing
Enhanced inherent strain modelling for powder-based metal additive manufacturing
(English) Metal additive manufacturing (MAM), particularly powder bed fusion using a laser beam (PBF-LB), has transformed manufacturing by enabling the production of intricate and ...
Gravitational Waves from Alena Tensor
Gravitational Waves from Alena Tensor
Alena Tensor is a recently discovered class of energy-momentum tensors that proposes a general equivalence of the curved path and the geodesic for the analyzed spacetimes which all...
The impacts of gingivitis and calculus on Thai children's quality of life
The impacts of gingivitis and calculus on Thai children's quality of life
AbstractAimTo assess associations of socio‐demographic, behavioural and the extent of gingivitis and calculus with oral health‐related quality of life (OHRQoL) in nationally repres...
The Site-specificity of Supragingival Calculus Deposition on the Lingual Surfaces of the Six Permanent Lower Anterior Teeth in Humans and the Effects of Age, Sex, Gum-chewing Habits, and the Time Since the Last Prophylaxis on Calculus Scores
The Site-specificity of Supragingival Calculus Deposition on the Lingual Surfaces of the Six Permanent Lower Anterior Teeth in Humans and the Effects of Age, Sex, Gum-chewing Habits, and the Time Since the Last Prophylaxis on Calculus Scores
The hypotheses to be tested were: (i) that chewing sugar-free gum frequently and for long periods would be associated with higher amounts of supragingival calculus, and (ii) that t...
The Effect on The Volume and Semi Axes of a Conducting Spheroid Due to The Scaling on Its First Order Polarization Tensor
The Effect on The Volume and Semi Axes of a Conducting Spheroid Due to The Scaling on Its First Order Polarization Tensor
In order to enhance identification of objects in electrical imaging or metal detection, the polarization tensor is used to characterize the perturbation in electric or electromagne...
Towards a consistent thermal-orbital model for the Galilean satellites
Towards a consistent thermal-orbital model for the Galilean satellites
In the coming decade, the JUICE and Europa Clipper spacecraft will both visit Jupiter’s Galilean satellites, a joint exploration in great part motivated by the presence of subsurfa...
Análisis de las prácticas docentes en torno a la enseñanza de lógica en la formación de estudiantes de profesorado en matemática
Análisis de las prácticas docentes en torno a la enseñanza de lógica en la formación de estudiantes de profesorado en matemática
La presente tesis se ocupa del análisis de las prácticas de dos profesores universitarios que enseñan temas vinculados al estudio de cálculo proposicional y cálculo de predicados a...