union of sets meaning in Hindi

Examples

1. This union of sets together is called the function's "'relative critical set " '.
2. :Analogous examples are given by the modules, by the free product of groups and by the disjoint union of sets.
3. A measure space need not be sigma finite, that is, it need not be a countable union of sets of finite measure.
4. Analogously, a set in a measure space is said to have a " ?-finite measure " if it is a countable union of sets with finite measure.
5. where \ coprod is the " disjoint " ( tagged ) union of sets ( the involved sets are not disjoint on their own unless resp . is injective ).
6. Dana Scott and constructible sets was an unnecessary complication, and could be replaced by a simpler construction similar to John von Neumann's construction of the universe as a union of sets for ordinals.
7. A good ( an easy exercise ) would be to verify ( yourself ) that if a function from a measure space to the real line is almost everywhere 0, then its Lebesgue integral must be 0 ( hint : the countable union of sets of measure 0 is measure 0 ).
8. The definition of dimension using the complex network zeta function satisfies properties like monotonicity ( a subset has a lower or the same dimension as its containing set ), stability ( a union of sets has the maximum dimension of the component sets forming the union ) and Lipschitz invariance, provided the operations involved change the distances between nodes only by finite amounts as the graph size \ textstyle N goes to \ textstyle \ infty.