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►As a member of the Executive Committee of the Institute of Mathematical Statistics (IMS) from 2005 to 2008, he guided the IMS through implementation of a policy to promote open access to all of its
professional journals, through systematic deposit of peer-reviewed final versions of all articles on arXiv.
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►Lozier directed the NIST research, technical, and support staff associated with the project, administered grants and contracts, together with Boisvert compiled the
Software sections for the Web version of the chapters, conducted editorial and staff meetings, represented the project within NIST and at
professional meetings in the United States and abroad, and together with Olver carried out the day-to-day development of the project.
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►The DLMF has been constructed specifically for
effective Web usage and contains features unique to Web presentation.
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►This part of the project has been carried out by a team comprising the mathematics editor, authors, validators, and the NIST
professional staff.
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►However, in many cases the coloring of the surface is chosen instead to indicate the quadrant of the plane to which the phase of the function belongs, thereby achieving a 4D
effect.
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Research Software.
This is software of narrow scope developed as a byproduct
of a research project and subsequently made available at no cost to the public.
The software is often meant to demonstrate new numerical methods or software
engineering strategies which were the subject of a research project. When
developed, the software typically contains capabilities unavailable elsewhere.
While the software may be quite capable, it is typically not professionally
packaged and its use may require some expertise. The software is typically
provided as source code or via a web-based service, and no support is provided.
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Software Associated with Books.
An increasing number of published books have
included digital media containing software described in the book. Often, the
collection of software covers a fairly broad area. Such software is typically
developed by the book author. While it is not professionally packaged,
it often provides a useful tool for readers to experiment with the concepts
discussed in the book. The software itself is typically not formally supported
by its authors.
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Commercial Software.
Such software ranges from a collection of reusable software
parts (e.g., a library) to fully functional interactive computing environments
with an associated computing language. Such software is usually professionally
developed, tested, and maintained to high standards. It is available for purchase,
often with accompanying updates and consulting support.
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►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.
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►Most modern browsers support ‘Web Fonts’, fonts that are
effectively included with a web site.
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►He was a
visiting professor at the University of Patras in Greece in 1978, and was elected a Corresponding Member of the Academy of Athens in 2001 (where he delivered his inaugural lecture in Greek).
►He was internationally known for his textbooks on calculus, analysis, and analytic number theory, which have been translated into five languages, and for creating
Project
MATHEMATICS!, a series of video programs that bring mathematics to life with computer animation, live action, music, and special
effects.
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►He additionally served as a
visiting lecturer for the MAA, and as a member of the MAA Board of Governors.
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►See
Armitage (1989),
Berry and Keating (1998, 1999),
Keating (1993, 1999), and
Sarnak (1999).
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►Quantum field theory often encounters formally divergent sums that need to be evaluated by a process of regularization: for example, the energy of the electromagnetic vacuum in a confined space (
Casimir–Polder effect).
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►The faint circular patterns are additional diffraction
effects due to imperfections in the edge.
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►The hypergeometric function has allowed the development of “solvable” models for one-dimensional quantum scattering through and over barriers (
Eckart (1930),
Bhattacharjie and Sudarshan (1962)), and generalized to include position-dependent
effective masses (
Dekar et al. (1999)).
►More varied applications include photon scattering from atoms (
Gavrila (1967)), energy distributions of particles in plasmas (
Mace and Hellberg (1995)), conformal field theory of critical phenomena (
Burkhardt and Xue (1991)), quantum chromo-dynamics (
Atkinson and Johnson (1988)), and general parametrization of the
effective potentials of interaction between atoms in diatomic molecules (
Herrick and O’Connor (1998)).
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►It should be borne in mind that a sequence (series) transformation can be
effective for one type of sequence (series) but may not accelerate convergence for another type.
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►provided that the right-hand
side converges.
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