isometry sentence - isometry sentence in Hindi (1-10)

	1.	This defines an isometry onto a dense subspace, as required.
	2.	The corresponding map is an isometry but in general not onto.
	3.	Clearly, every isometry between metric spaces is a topological embedding.
	4.	The inverse of a global isometry is also a global isometry.
	5.	The inverse of a global isometry is also a global isometry.
	6.	Note that ?-isometries are not assumed to be continuous.
	7.	It was spurred by the 1987 monograph of quasi-isometry.
	8.	Accordingly, analysis of isometry groups is analysis of possible symmetries.
	9.	Many physical symmetries are isometries and are specified by symmetry groups.
	10.	Thus all sets of Kraus operators are related by partial isometries.

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