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31: Bibliography S

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An elliptic incarnation of the Bailey chain. Int. Math. Res. Not. 2002 (37), pp. 1945–1977.

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External Links:

ISSN 1073-7928, Document, MathReview (S. Ole Warnaar), ZentralBlatt

Referenced by:

§17.12.

Encodings:

BibTeX

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32: Software Index

… ►Please see our Software Indexing Policy for rules that govern the indexing of software in the DLMF. …

33: 1.10 Functions of a Complex Variable

… ►The function $f_1(z)$ on $D_1$ is said to be analytically continued along the path $z(t)$, $a\le t\le b$, if there is a chain $(f_1,D_1)$, $(f_2,D_2),\mathrm{\dots },(f_n,D_n)$. …

34: 3.3 Interpolation

… ►and compute an approximation to $a_1$ by using Newton’s rule (§3.8(ii)) with starting value $x=-2.5$. …Then by using $x_3$ in Newton’s interpolation formula, evaluating $\left[x_0,x_1,x_2,x_3\right]f=-\mathrm{0.26608\hspace{0.33em}28233}$ and recomputing $f^{\prime }(x)$, another application of Newton’s rule with starting value $x_3$ gives the approximation $x=\mathrm{2.33810\hspace{0.33em}7373}$, with 8 correct digits. …

35: 3.2 Linear Algebra

… ►Because of rounding errors, the residual vector $𝐫=𝐛-𝐀𝐱$ is nonzero as a rule. …

36: 3.6 Linear Difference Equations

… ►or for systems of $k$ first-order inhomogeneous equations, boundary-value methods are the rule rather than the exception. …

37: Bibliography O

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Numerical Computing with IEEE Floating Point Arithmetic. Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA.

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Notes:

Including one theorem, one rule of thumb, and one hundred and one exercises

External Links:

ISBN 0-89871-482-6, MathReview (Jesse L. Barlow), ZentralBlatt

Referenced by:

§3.1(i).

Encodings:

BibTeX

38: 1.9 Calculus of a Complex Variable

… ►A domain $D$, say, is an open set in $ℂ$ that is connected, that is, any two points can be joined by a polygonal arc (a finite chain of straight-line segments) lying in the set. …

39: 1.2 Elementary Algebra

… ►This is the row times column rule. …