domain of definition meaning in Hindi

Examples

1. Often, a complex domain serves as the domain of definition for a holomorphic function.
2. This is because the position operator is unbounded, and \ psi has to be chosen from its domain of definition.
3. The initial impetus was to have a description of the properties of the domain of definition of the ( maximal ) analytic continuation of an analytic function.
4. A partial function is said to be injective or surjective when the total function given by the restriction of the partial function to its domain of definition is.
5. The natural domains of definition of functions, continued to the limit, are called " Stein manifolds " and their nature was to make sheaf cohomology groups vanish.
6. In the n = 1 case, every open set is a domain of holomorphy : we can define a holomorphic function with zeros natural boundary for a domain of definition of its reciprocal.
7. However, in some cases, the formulas of do not give a correct principal value, as giving a domain of definition which is too small and, in one case non-connected.
8. Assume that this PDE is non-degenerate in the sense that F _ { u _ x } and F _ { u _ y } are not both zero in the domain of definition.
9. For specifying the branch, that is defining which value of the multivalued function is considered at each point, one generally define it at a particular point, and deduce the value everywhere in the domain of definition of the principal value by analytic continuation.
10. "' Exponential growth "'occurs when the domain of definition with equal intervals, it is also called "'geometric growth "'or "'geometric decay "', the function values forming a geometric progression.