functional calculus造句
例句与造句
- This defines the functional calculus for " bounded " functions applied to possibly " unbounded " self-adjoint operators.
- The idea of a functional calculus is to create a " principled " approach to this kind of overloading of the notation.
- In the definition of the functional calculus, " f " is assumed to be holomorphic in an open neighborhood of ?.
- The holomorphic functional calculus is similar in that the resolvent mapping plays a crucial role in obtaining properties one requires from a nice functional calculus.
- The holomorphic functional calculus is similar in that the resolvent mapping plays a crucial role in obtaining properties one requires from a nice functional calculus.
- It's difficult to find functional calculus in a sentence. 用functional calculus造句挺难的
- The Riesz-Markov theorem then allows us to pass from integration on continuous functions to spectral measures, and this is the Borel functional calculus.
- V * is the unique positive square root of " M * M ", as given by the Borel functional calculus for self adjoint operators.
- What has not been shown is that the definition of the functional calculus is unambiguous, i . e . does not depend on the choice of ?.
- In slightly more abstract language, the holomorphic functional calculus can be extended to any element of a Banach algebra, using essentially the same arguments as above.
- For technical reasons, one needs to consider separately the positive and negative parts of " A " defined by the Borel functional calculus for unbounded operators.
- With stronger assumptions, when " T " is a normal operator acting on a Hilbert space, the domain of the functional calculus can be broadened.
- Similarly, the continuous functional calculus holds for normal elements in any C *-algebra and the measurable functional calculus for normal elements in any von Neumann algebra.
- Similarly, the continuous functional calculus holds for normal elements in any C *-algebra and the measurable functional calculus for normal elements in any von Neumann algebra.
- Using the holomorphic functional calculus it can be checked that " D " 1 / 2 " B " 2 is a smoothing operator.
- This notation is compatible with the notation for matrix exponentials, and for functions of an operator defined via functional calculus ( for example, via the spectral theorem ).