quotient set sentence in Hindi
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- This distinction gives rise to the notion of a quotient set.
- Then < " is an equivalence relation; we write for the quotient set.
- A separable measure space has a natural quotient set can be properly metrized by the induced metric.
- The quotient set can then be given a structure of the same type, in a natural way, by defining the operations as.
- For other examples of quotient objects, see quotient ring, quotient space ( linear algebra ), quotient space ( topology ), and quotient set.
- Using this relation, it is possible to construct a partial order on the quotient set of the equivalence, S / ~, the set of all equivalence classes of ~.
- If G is a discrete group then a lattice in G is exactly a subgroup \ Gamma of finite index ( i . e . the quotient set G / \ Gamma is finite ).
- This partition the set of equivalence classes is sometimes called the "'quotient set "'or the "'quotient space "'of by and is denoted by.
- The set of all equivalence classes in with respect to an equivalence relation is denoted as and called "'modulo "'( or the "'quotient set "'of by ).
- Note that the specific quotient set depends on a choice of maximal torus, but the resulting groups are all isomorphic ( by an inner automorphism of " G " ), since maximal tori are conjugate.
- Often in mathematics, when one defines an equivalence relation on a set, one immediately forms the quotient set ( turning equivalence into extensional equality ( the equivalence relation, or the equality on the quotient set ).
- Often in mathematics, when one defines an equivalence relation on a set, one immediately forms the quotient set ( turning equivalence into extensional equality ( the equivalence relation, or the equality on the quotient set ).
- The "'first size homotopy group "'of the size pair ( M, \ varphi ) \ computed at ( X, Y ) \ is defined to be the quotient set of the set of all loops.
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