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Date: 2014
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.13/1307281
Description: We present a set of algorithms for automated simplification of symbolic constants of the form ∑iαixi with αi rational and xi complex. The include... More
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Date: 2013
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.13/940198
Description: Purpose: In recent years attention has been directed to the problem of solving the Poisson equation, either in engineering scenarios (computational) or in regard to crystal structure (theoretical). Me... More
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Date: 2012
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.13/940078
Description: In this paper we describe numerical investigations of definite integrals that arise by considering the moments of multi-step uniform random walks in the plane, together with a closely related class of... More
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Date: 2012
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.13/939951
Description: At the present time, IEEE 64-bit floating-point arithmetic is sufficiently accurate for most scientific applications. However, for a rapidly growing body of important scientific computing applications... More
Reviewed: Reviewed
Date: 2010
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.13/932067
Description: Box integrals - expectations 〈|r→|s or 〈|r→ - q→|s〉 over the unit n-cube - have over three decades been occasionally given closed forms for isolated n, s. By employing experimental mathematics togethe... More
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Date: 2009
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.13/807939
Description: The field of statistics has long been noted for techniques to detect patterns and regularities in numerical data. In this article, we explore connections between statistics and the emerging field of ‘... More
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Date: 2009
Language: eng
Resource Type: book
Identifier: http://hdl.handle.net/1959.13/917802
Description: Keith Devlin and Jonathan Borwein, two well-known mathematicians with expertise in different mathematical specialties but with a common interest in experimentation in mathematics, have joined forces t... More
Date: 2008
Language: eng
Resource Type: book
Identifier: http://hdl.handle.net/1959.13/928636
Description: This revised and updated second edition maintains the content and spirit of the first edition and includes a new chapter, "Recent Experiences," that provides examples of experimental mathematics that ... More
Date: 2008
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.13/940062
Description: We intend to show that a variety of trigonometric sums have unexpected closed forms by relating them to cognate integrals. We hope this offers a good advertisement for the possibilities of experimenta... More
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Date: 2006
Language: eng
Resource Type: conference paper
Identifier: http://hdl.handle.net/1959.13/1038493
Description: We analyze the behavior of Euler-Maclaurin-based integration schemes with the intention of deriving accurate and economic estimations of the error. These schemes typically provide very high-precision ... More
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Date: 2006
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.13/928097
Description: This article presents and solves ten symbolic/numeric challenge problems, in the spirit of the recent SIAM hundred-digit, hundred-dollar challenge problems. Our goal in this article is to provide solu... More
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Date: 2005
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.13/928088
Description: Recent years have seen the flowering of "experimental" mathematics, namely the utilization of modern computer technology as an active tool in mathematical research. This development is not limited to ... More
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Date: 2005
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.13/940740
Description: The emergence of powerful mathematical computing environments, the growing availability of correspondingly powerful (multi-processor) computers and the pervasive presence of the internet allow for mat... More
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Date: 2001
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.13/1039900
Description: Experimental Mathematics is an exciting emerging discipline within mathematics. Founded in 1993, the Centre for Experimental and Constructive Mathematics is a national and international leader in the ... More
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Date: 1999
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.13/940174
Description: Using mostly elementary examples, Borwein and Corless discuss the use of some recent and emerging tools for experimental mathematics. The tools discussed included so-called "inverse symbolic computati... More
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