高仿南威尔士大学文凭毕业证【somewhat微KAA2238】wai

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21: 13.32 Software

… ►References to research software that is available in other ways is listed separately. …

22: 9.17 Methods of Computation

… ►As described in §3.7(ii), to ensure stability the integration path must be chosen in such a way that as we proceed along it the wanted solution grows at least as fast as all other solutions of the differential equation. … ►Among the integral representations of the Airy functions the Stieltjes transform (9.10.18) furnishes a way of computing $\mathrm{Ai}\left(z\right)$ in the complex plane, once values of this function can be generated on the positive real axis. …

23: 20.14 Methods of Computation

… ►The Fourier series of §20.2(i) usually converge rapidly because of the factors $q^{{(n+\frac{1}{2})}^2}$ or $q^{n^2}$, and provide a convenient way of calculating values of ${\theta }_j\left(z\right|\tau )$. Similarly, their $z$-differentiated forms provide a convenient way of calculating the corresponding derivatives. …

24: 5.24 Software

… ►References to research software that is available in other ways is listed separately. …

25: 6.21 Software

… ►References to research software that is available in other ways is listed separately. …

26: 9.20 Software

… ►References to research software that is available in other ways is listed separately. …

27: 25.21 Software

… ►References to research software that is available in other ways is listed separately. …

28: 30.18 Software

… ►References to research software that is available in other ways is listed separately. …

29: 15.19 Methods of Computation

… ►For $z\in ℝ$ it is always possible to apply one of the linear transformations in §15.8(i) in such a way that the hypergeometric function is expressed in terms of hypergeometric functions with an argument in the interval $[0,\frac{1}{2}]$. ►For $z\in ℂ$ it is possible to use the linear transformations in such a way that the new arguments lie within the unit circle, except when $z={\mathrm{e}}^{\pm \pi \mathrm{i}/3}$. …

30: 26.15 Permutations: Matrix Notation

… ►Let $r_j(B)$ be the number of ways of placing $j$ nonattacking rooks on the squares of $B$. … ►The problème des ménages asks for the number of ways of seating $n$ married couples around a circular table with labeled seats so that no men are adjacent, no women are adjacent, and no husband and wife are adjacent. There are $2(n!)$ ways to place the wives. …