| 31. | This asymptotic expansion is also valid for complex instead of real " x ", with | \ arg z|
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| 32. | This limit is usually taken by asymptotic expansions of the fields of the model in powers of the interface width \ varepsilon.
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| 33. | So-called correction exponents extend these sets, they refer to higher orders of the asymptotic expansion around the critical point.
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| 34. | An asymptotic expansion is known for the median of an Erlang distribution, for which coefficients can be computed and bounds are known.
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| 35. | This function has an asymptotic expansion as " z " tends to 0 that is given by the original divergent series.
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| 36. | Apply the method of heat kernel to asymptotic expansion for Riemannian manifold ( M, g ) we obtain the two following theorems.
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| 37. | In mathematics he formulated the first version of what is now known as Stokes'theorem and contributed to the theory of asymptotic expansions.
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| 38. | Then, Laplace-Erdelyi theorem states that the asymptotic expansion of the integral " I ( ? ) " is given by
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| 39. | The general case can be solved approximately by means of an asymptotic expansion in the parameter \ varepsilon = T \ alpha ^ 2.
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| 40. | 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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