representation theorem sentence in Hindi

Examples

1. The representation of interior algebras by preorder fields can be generalized to a representation theorem for arbitrary ( normal ) Boolean algebras with operators.
2. The Riesz representation theorem relies fundamentally not just on the presence of an inner product, but also on the completeness of the space.
3. *PM : Gelfand-Naimark representation theorem, id = 3335-- WP guess : Gelfand-Naimark representation theorem-- Status:
4. *PM : Gelfand-Naimark representation theorem, id = 3335-- WP guess : Gelfand-Naimark representation theorem-- Status:
5. In these more general contexts, the bracket does not have the meaning of an inner product, because the Riesz representation theorem does not apply.
6. The Riesz representation theorem states that " every " element of " H * " can be written uniquely in this form.
7. By the Riesz representation theorem, the continuous dual of a Hilbert space is again a Hilbert space which is anti-isomorphic to the original space.
8. Typical examples of distributive lattice are totally ordered sets, isomorphic to a lattice of sets, ordered by inclusion ( Birkhoff's representation theorem ).
9. *PM : Wagner-Preston representation theorem, id = 8275 new !-- WP guess : Wagner-Preston representation theorem-- Status:
10. *PM : Wagner-Preston representation theorem, id = 8275 new !-- WP guess : Wagner-Preston representation theorem-- Status: