¹ Source: wiktionary.com
Definition of Symmetries
1. symmetry [n] - See also: symmetry
Lexicographical Neighbors of Symmetries
Literary usage of Symmetries
Below you will find example usage of this term as found in modern and/or classical literature:
1. Topics in Physical Geometry by Robert Hermann (1988)
"The “symmetries” in the Lie-Cartan sense are then the diffeomorphisms of the
underlying ... The “infinitesimal symmetries” are the vector fields whose Lie ..."
2. Topics in the Geometric Theory of Integrable Mechanical Systems by Robert Hermann (1984)
"GROUPS OF symmetries OF DIFFERENTIAL EQUATIONS AND symmetries IN THE PROLONGATION
SENSE Let D be a differential equation defined on a fiber space (E,it,X). ..."
3. Projective Geometry by Oswald Veblen, John Wesley Young (1918)
"Displacements and symmetries. Congruence. We may now generalize directly ...
The set of all displacements and symmetries is a self-conjugate subgroup of the ..."
4. Projective Geometry by Oswald Veblen, John Wesley Young (1918)
"Displacements and symmetries. Congruence. We may now generalize directly from § 57,
... The set of all displacements and symmetries is a self •conjugate ..."
5. Constrained Mechanics and Lie Theory by Robert Hermann (1992)
"An L satisfying 2.4-2.5 is called a Lie algebra of Infinitesimal symmetries of
the ODE system 2.3. The data 2.1-2.Sis the starting point for Lie's theory. ..."
6. Materials for the study of variation treated with especial regard to by William Bateson (1894)
"MINOR symmetries : DIGITS. ALL the cases considered in the foregoing chapters
... In these Minor symmetries Linear Repetition may occur in two forms : there ..."
7. The Geometry of Non-linear Differential Equations, Bäcklund Transformations by Robert Hermann (1976)
"LIE symmetries AND BACKLUND symmetries OF DIFFERENTIAL EQUATION SYSTEMS Let us
recapitulate notation. X is a manifold, Z is a vector space. ..."
8. Topics in Physical Geometry by Robert Hermann (1988)
"The “symmetries” in the Lie-Cartan sense are then the diffeomorphisms of the
underlying ... The “infinitesimal symmetries” are the vector fields whose Lie ..."
9. Topics in the Geometric Theory of Integrable Mechanical Systems by Robert Hermann (1984)
"GROUPS OF symmetries OF DIFFERENTIAL EQUATIONS AND symmetries IN THE PROLONGATION
SENSE Let D be a differential equation defined on a fiber space (E,it,X). ..."
10. Projective Geometry by Oswald Veblen, John Wesley Young (1918)
"Displacements and symmetries. Congruence. We may now generalize directly ...
The set of all displacements and symmetries is a self-conjugate subgroup of the ..."
11. Projective Geometry by Oswald Veblen, John Wesley Young (1918)
"Displacements and symmetries. Congruence. We may now generalize directly from § 57,
... The set of all displacements and symmetries is a self •conjugate ..."
12. Constrained Mechanics and Lie Theory by Robert Hermann (1992)
"An L satisfying 2.4-2.5 is called a Lie algebra of Infinitesimal symmetries of
the ODE system 2.3. The data 2.1-2.Sis the starting point for Lie's theory. ..."
13. Materials for the study of variation treated with especial regard to by William Bateson (1894)
"MINOR symmetries : DIGITS. ALL the cases considered in the foregoing chapters
... In these Minor symmetries Linear Repetition may occur in two forms : there ..."
14. The Geometry of Non-linear Differential Equations, Bäcklund Transformations by Robert Hermann (1976)
"LIE symmetries AND BACKLUND symmetries OF DIFFERENTIAL EQUATION SYSTEMS Let us
recapitulate notation. X is a manifold, Z is a vector space. ..."