analytically continued造句
例句與造句
- One can analytically continue these functions to the-dimensional complex space.
- If a function is holomorphic throughout a analytically continued from its values on the smaller domain.
- The series converges for | a | and can be analytically continued in the complex plane.
- In the Euclidean field theory, these boosts analytically continue to rotations, and the rotations close after 2.
- If we use the analytically continued terms instead of the moments themselves, we obtain from a series representation of the polylogarithm
- It's difficult to find analytically continued in a sentence. 用analytically continued造句挺難的
- If we analytically continue this for all real " x ", one obtains a convergent integral for the summation:
- The bilateral hypergeometric series fails to converge for most rational functions, though it can be analytically continued to a function defined for most rational functions.
- In particular, divergences show up as poles in the analytically continued past this pole, to obtain a finite part at " s " = 0.
- Like the Riemann zeta function, the multiple zeta functions can be analytically continued to be meromorphic functions ( see, for example, Zhao ( 1999 ) ).
- In many cases, even where the series does not converge everywhere, the holomorphic function it defines may be analytically continued to a meromorphic function on the entire complex plane.
- There is no corresponding notion of ramification for transcendental and logarithmic branch points since the associated covering Riemann surface cannot be analytically continued to a cover of the branch point itself.
- Nevertheless, " f " has a singularity at every point on the unit circle, and cannot be analytically continued outside of the open unit disk, as the following argument demonstrates.
- *It's sometimes useful to analytically continue integration over d variables to the complex d plane, so a single integration sign is better . talk ) 18 : 26, 7 November 2013 ( UTC)
- For complex arguments " z " with | " z " | e " 1 it can be analytically continued along any path in the complex plane that avoids the branch points 0 and 1.
- In fact, using the Cauchy integral formula we obtain the extended function F, All holomorphic functions are analytically continued to the polydisk, which is strictly larger than the domain on which the original holomorphic function is defined.
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