asymptotic expansion वाक्य
उदाहरण वाक्य
मोबाइल
- Asymptotic expansions of angular prolate spheroidal wave functions for large values of c have been derived by M�ller.
- Several of his works have become classics, including " Matched Asymptotic Expansions : Ideas And Techniques ".
- Asymptotic expansions of angular oblate spheroidal wave functions for large values of c have been derived by M�ller.
- The famous Feynman graphs in quantum field theory are another example of asymptotic expansions which often do not converge.
- The relation between asymptotic expansions of spheroidal wave functions and Legendre functions has been investigated in M�ller and M�ller.
- This is a typical example of the fact that Borel summation will sometimes " correctly " sum divergent asymptotic expansions.
- It is often desirable to find more terms in the asymptotic expansions of both the outer and the inner solutions.
- In general, the power series will not converge but will provide only an asymptotic expansion of the exact solution.
- Detailed understanding of non-linear thread behavior requires the use of asymptotic expansions to generate the appropriate scaling behavior.
- The absolute minimum value of the functional is then and the coefficient in the asymptotic expansion of } } } } is.
- This asymptotic expansion is also valid for complex instead of real " x ", with | \ arg z|
- This limit is usually taken by asymptotic expansions of the fields of the model in powers of the interface width \ varepsilon.
- So-called correction exponents extend these sets, they refer to higher orders of the asymptotic expansion around the critical point.
- An asymptotic expansion is known for the median of an Erlang distribution, for which coefficients can be computed and bounds are known.
- This function has an asymptotic expansion as " z " tends to 0 that is given by the original divergent series.
- Apply the method of heat kernel to asymptotic expansion for Riemannian manifold ( M, g ) we obtain the two following theorems.
- In mathematics he formulated the first version of what is now known as Stokes'theorem and contributed to the theory of asymptotic expansions.
- Then, Laplace-Erdelyi theorem states that the asymptotic expansion of the integral " I ( ? ) " is given by
- The general case can be solved approximately by means of an asymptotic expansion in the parameter \ varepsilon = T \ alpha ^ 2.
- Asymptotic expansions similar to that above lead to a system of equations, which, after renaming and rescaling the variables, takes the form
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