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►More than 41% of all the zeros in the critical strip lie on the critical line (
Bui et al. (2011)).
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►
Subsection 25.10(ii)
In the paragraph immediately below (25.10.4), it was originally stated
that “more than one-third of all zeros in the critical strip lie on the
critical line.” which referred to Levinson (1974). This sentence
has been updated with “one-third” being replaced with “41%” now referring
to Bui et al. (2011) (suggested by Gergő Nemes on 2021-08-23).
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►These enable insertions of new numbered objects between existing ones
without affecting their permanent identifiers and URLs.
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►
Usability
Additional keywords are being added to formulas (an ongoing project);
these are visible in the associated ‘info boxes’ linked to the
icons to the right of each formula, and provide better search capabilities.
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►
Equation (8.18.3)
8.18.3
The range of was extended to include .
Previously this equation appeared without the order estimate as
.
Reported 2016-08-30 by Xinrong Ma.
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►One source of confusion, rather than actual errors, are some new functions which differ from those in
Abramowitz and Stegun (1964) by scaling, shifts or constraints on the domain; see the
Info box (click or hover over the
icon) for links to defining formula.
There are also cases where browser bugs or poor fonts can be misleading; you can verify MathML display by comparing the to the images or
TeXfound under Encodings in the
Info boxes (see
About MathML).
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►WebGL is a JavaScript API (application programming interface) for rendering 3D graphics in a web browser
without the use of a plugin.
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►This could not have been done
without the cooperation of many mathematicians, information technologists, and physical scientists both within NIST and externally.
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►Even though the lengthy calculation is repeated four times, once for each modulus, most of it only uses five-digit integers and is accomplished quickly
without overwhelming the machine’s memory.
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►These reduction theorems, unknown in the Legendre theory, allow symbolic integration
without imposing conditions on the parameters and the limits of integration (see §
19.29(ii)).
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