functional calculus sentence in Hindi

Examples

1. The continuous, or just the holomorphic functional calculus suffices.
2. For the continuous functional calculus, the key ingredients are the following:
3. This property will be used in subsequent arguments for the functional calculus.
4. By property 3 of the functional calculus, the operator
5. This definition can be generalized to include continuous functions using continuous functional calculus.
6. The well-definedness of functional calculus now follows as an easy consequence.
7. Thus a more general functional calculus is needed.
8. First pass from polynomial to continuous functional calculus by using the Stone-Weierstrass theorem.
9. is positive, where the continuous functional calculus is used to define the square root.
10. Property 2 and the continuous functional calculus ensure that ? preserves the *-operation.