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**Date:** 2017
**Language:** eng
**Resource Type:** journal article
**Identifier:** http://hdl.handle.net/1959.13/1353064
**Description:** Mathematical research is undergoing a transformation from a mostly theoretical enterprise to one that involves a significant amount of experimentation. Indeed, *computational and experimental mathem... More**
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***Date:** 2015
**Keyword:** philosophy of science | mathematical sciences | mathematical computation | mathematical discovery
**Language:** eng
**Resource Type:** book chapter
**Identifier:** http://hdl.handle.net/1959.13/1317076
**Description:** Robust, concrete and abstract, mathematical computation and inference on the scale now becoming possible should change the discourse about many matters mathematical. These include: what mathematics is... More
**Date:** 2015
**Keyword:** gamma function | log gamma funtion | Riemann zeta function | Tornheim-Weitten zeta function | integration
**Language:** eng
**Resource Type:** journal article
**Identifier:** http://hdl.handle.net/1959.13/1314534
**Description:** Stimulated by earlier work by Moll and his coworkers (Amdeberhan et al., Proc. Am. Math. Soc., 139(2):535-545, 2010), we evaluate various basic log Gamma integrals in terms of partial derivatives of T... More
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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 ∑_{i}α_{i}x_{i} with α_{i} rational and x_{i} complex. The include... More
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**Date:** 2014
**Language:** eng
**Resource Type:** journal article
**Identifier:** http://hdl.handle.net/1959.13/1303610
**Description:** The digits of π have intrigued both the public and research mathematicians from the beginning of time. This article briefly reviews the history of this venerable constant, and then describes some rece... More
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**Date:** 2014
**Language:** eng
**Resource Type:** journal article
**Identifier:** http://hdl.handle.net/1959.13/1303607
**Description:** A backtest is a historical simulation of an algorithmic investment strategy. Among other things, it computes the series of profits and losses that such strategy would have generated had that algorithm... 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:** 2013
**Language:** eng
**Resource Type:** journal article
**Identifier:** http://hdl.handle.net/1959.13/1295551
**Description:** Using fractal self-similarity and functional-expectation relations, the classical theory of box integrals – being expectations on unit hypercubes – is extended to a class of fractal “string-generated ... More
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**Date:** 2013
**Language:** eng
**Resource Type:** book chapter
**Identifier:** http://hdl.handle.net/1959.13/1055834
**Description:** For an integer b ≥ 2 a real number α is b -normal if, for all m > 0, every m-long string of digits in the base-b expansion of α appears, in the limit, with frequency b^{-m}. Although almost al... More
**Date:** 2013
**Keyword:** gamma function | log-gamma function | Riemann zeta function | Tornheim–Weitten zeta function | integration
**Language:** eng
**Resource Type:** journal article
**Identifier:** http://hdl.handle.net/1959.13/940016
**Description:** Stimulated by earlier work by Moll and his coworkers (Amdeberhan et al., Proc. Am. Math. Soc., 139(2):535-545, 2010), we evaluate various basic log Gamma integrals in terms of partial derivatives of T... More
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**Date:** 2013
**Language:** eng
**Resource Type:** journal article
**Identifier:** http://hdl.handle.net/1959.13/1039906
**Description:** We recently concluded a very large mathematical calculation, uncovering objects that until recently were widely considered to be forever inaccessible to computation. Our computations stem from the “BB... More
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**Creators:**
Aragón Artacho, Francisco J. | Bailey, David H. | Borwein, Jonathan M. | Borwein, Peter B.
**Date:** 2013
**Language:** eng
**Resource Type:** journal article
**Identifier:** http://hdl.handle.net/1959.13/940125
**Description:** Motivated by the desire to visualize large mathematical data sets, especially in number theory, we offer various tools for representing ﬂoating point numbers as planar(or three dimensional) walks and ... More
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**Creators:**
Bailey, David H. | Borwein, Jonathan M. | Calude, Cristian S. | Dinneen, Michael J. | Dumitrescu, Monica | Yee, Alex
**Date:** 2012
**Language:** eng
**Resource Type:** journal article
**Identifier:** http://hdl.handle.net/1959.13/940028
**Description:** Using the results of several extremely large recent computations, we tested positively the normality of a prefix of roughly four trillion hexadecimal digits of π. This result was used by a Poisson pro... More
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**Date:** 2012
**Language:** eng
**Resource Type:** journal article
**Identifier:** http://hdl.handle.net/1959.13/940188
**Description:** This article examines the computation of square roots in ancient India in the context of the discovery of positional decimal arithmetic
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**Date:** 2012
**Keyword:** experimental mathematics | high-precision computing | numerical integration | random walks | elliptic integrals
**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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