Admit a strictly larger Lie group of transformations, namely " G ".
2.
The modular group of transformations of the complex plane maps Ford circles to other Ford circles.
3.
If transformation g is a member of a unitary group of transformations, then the following holds:
4.
Geometry is the study of shapes and space, in particular, groups of transformations that act on spaces.
5.
To define an invariant or equivariant estimator formally, some definitions related to groups of transformations are needed first.
6.
In the " recipe " for image classification, groups of transformations are approximated with finite number of transformations.
7.
Cartan defended his dissertation, " The structure of finite continuous groups of transformations " in 1894 in the Faculty of Sciences in the Sorbonne.
8.
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.
9.
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 ).
10.
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 ".
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