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1: 3.1 Arithmetics and Error Measures

… ► … ►For given values of $E_{\min }$, $E_{\max }$, and $p$, the format width in bits $N$ of a computer word is the total number of bits: the sign (one bit), the significant bits $b_1,b_2,\mathrm{\dots },b_{p-1}$ ($p-1$ bits), and the bits allocated to the exponent (the remaining $N-p$ bits). … ►In the case of the normalized binary interchange formats, the representation of data for binary32 (previously single precision) ($N=32$, $p=24$, $E_{\min }=-126$, $E_{\max }=127$), binary64 (previously double precision) ($N=64$, $p=53$, $E_{\min }=-1022$, $E_{\max }=1023$) and binary128 (previously quad precision) ($N=128$, $p=113$, $E_{\min }=-16382$, $E_{\max }=16383$) are as in Figure 3.1.1. … ►

Figure 3.1.1: Floating-point arithmetic. Representation of data in the binary interchange formats for binary32, binary64 and binary128 (previously single, double and quad precision).

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2: Browsers

… ►Thus, we are now using the new (almost-)standard for HTML, HTML5, as the primary format for our web content. This new format incorporates MathML as well as SVG. … ►If none of those solutions work for you, you may explicitly choose a format such as HTML+images, using images for mathematics, at Customize DLMF. …

3: Viewing DLMF Interactive 3D Graphics

… ►We offer WebGL as the default format for viewing our displays. … ►After installing the viewer you must select Customize DLMF on the DLMF Menu bar and choose either VRML or X3D under “Visualization Format. ” VRML (Virtual Reality Modeling Language) is a standard file format for viewing 3D graphics on the web and X3D is its successor. …

4: About MathML

… ►The default document format of the DLMF is HTML5 which includes MathML. … ►In rare cases, a browser lacks both MathML support and a robust enough javascript implementation capable of running MathJax; you may wish to visit the Customize DLMF page and choose the HTML+images document format. That format displays mathematics as static images and is neither very scalable nor accessible, but serves as a workable fallback. …

5: Sidebar 22.SB1: Decay of a Soliton in a Bose–Einstein Condensate

… ►Among these are the formation of vortex rings in Bose Einstein condensates. …

6: How to Cite

… ►When citing DLMF from a formal publication, we suggest a format similar to the following: …

7: Foreword

… ► The success of the original handbook, widely referred to as “Abramowitz and Stegun” (“A&S”), derived not only from the fact that it provided critically useful scientific data in a highly accessible format, but also because it served to standardize definitions and notations for special functions. …

8: DLMF Project News

error generating summary

9: Preface

… ►The associate editors are eminent domain experts who were recruited to advise the project on strategy, execution, subject content, format, and presentation, and to help identify and recruit suitable candidate authors and validators. …

10: Bibliography

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Ly$\alpha$ line formation in starbursting galaxies. I. Moderately thick, dustless, and static H i media. Astrophysical J. 554, pp. 604–614.

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§7.21.

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