group of transformation sentence in Hindi
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- Admit a strictly larger Lie group of transformations, namely " G ".
- The modular group of transformations of the complex plane maps Ford circles to other Ford circles.
- If transformation g is a member of a unitary group of transformations, then the following holds:
- Geometry is the study of shapes and space, in particular, groups of transformations that act on spaces.
- To define an invariant or equivariant estimator formally, some definitions related to groups of transformations are needed first.
- In the " recipe " for image classification, groups of transformations are approximated with finite number of transformations.
- Cartan defended his dissertation, " The structure of finite continuous groups of transformations " in 1894 in the Faculty of Sciences in the Sorbonne.
- Roughly speaking, a Lie point symmetry of a system is a local group of transformations that maps every solution of the system to another solution of the same system.
- In invariant-theoretic conditional inference, the sampling distribution is conditioned on an invariant of the group of transformations ( with respect to which the Haar measure is defined ).
- In 1947 some elements of inversive quaternion geometry were described by P . G . Gormley in his paper " Stereographic projection and the linear fractional group of transformations of quaternions ".
- In fact, assume that S is a set, G a group of transformations in S and ( G, s ) a fuzzy subgroup of G . Then, by setting
- The fundamental property that singles out all projective geometries is the " elliptic " group of transformations can move any line to the " line at infinity " ).
- The term " representation of a group " is also used in a more general sense to mean any " description " of a group as a group of transformations of some mathematical object.
- A group of transformations of X, to be denoted by G, is a set of ( measurable ) 1 : 1 and onto transformations of X into itself, which satisfies the following conditions:
- The word " symmetry " in the above statement refers more precisely to the covariance of the form that a physical law takes with respect to a one-dimensional Lie group of transformations satisfying certain technical criteria.
- Suppose we have a " flow ", i . e . the generator of a smooth one-dimensional group of transformations of the configuration space, which maps on-shell states to on-shell states while preserving the boundary conditions.
- Also, the above expression is a quadratic form of signature ( 3, 1 ) on spacetime, and the group of transformations which leaves this quadratic form invariant is the indefinite orthogonal group O ( 3, 1 ), a Lie group.
- Instead of determining the Galois group of transformations of a given field and its extension, Noether asked whether, given a field and a group, it always is possible to find an extension of the field that has the given group as its Galois group.
- In the seminal paper which introduced categories, Saunders Mac Lane and S . Eilenberg stated : " This may be regarded as a continuation of the Klein Erlanger Programm, in the sense that a geometrical space with its group of transformations is generalized to a category with its algebra of mappings"
- In mathematics, "'monodromy "'is the study of how objects from mathematical analysis, algebraic topology, algebraic geometry and differential geometry behave as they'run round'a group of transformations acting on the data that encodes what does happen as we'run round '.
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