- (math.) transformation group
Generated definitions (experimental)
- transformation group
This term is used in mathematics to describe a group that consists of all the transformations (such as rotations, reflections, translations) that can be applied to a given space, usually focusing on the structure that is preserved under these operations.
In mathematics, the theory of transformation groups is used to study symmetries.
Many phenomena in physics can be explained using transformation groups.
Generated collocations (experimental)
biàn huàn qún变换群de的tóng gòu同构isomorphism of transformation groupsjǐn紧zhì致biàn huàn qún变换群compact transformation groupLǐ李biàn变huàn换qún群Lie transformation groupyǒu xiàn有限biàn huàn qún变换群finite transformation grouplián xù连续biàn huàn qún变换群continuous transformation groupbiàn huàn qún变换群biǎo shì表示representation of transformation groupsbiàn huàn qún变换群de的zuò yòng作用action of transformation groupsbiàn huàn qún变换群lǐ lùn理论theory of transformation groupsbiàn huàn qún变换群de的tóng同lún伦homotopy of transformation groupsbiàn huàn qún变换群de的shēng chéng生成generation of transformation groups