GlobalView

Showing items 1 - 15 of 30.

Add to Quick Collection   All 30 Results

Sort:
 Add All Items to Quick Collection
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
Reviewed: Reviewed
Date: 2015
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
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
Reviewed: Reviewed
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
Reviewed: Reviewed
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
Reviewed: Reviewed
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
Reviewed: Reviewed
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
Full Text: Full Text
Reviewed: Reviewed
Image Thumbnail
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
Reviewed: Reviewed
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
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
Reviewed: Reviewed
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
Full Text: Full Text
Reviewed: Reviewed
Image Thumbnail
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
Full Text: Full Text
Reviewed: Reviewed
Image Thumbnail
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
Full Text: Full Text
Reviewed: Reviewed
Image Thumbnail
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
Full Text: Full Text
Reviewed: Reviewed
Image Thumbnail
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
Full Text: Full Text
Reviewed: Reviewed
Image Thumbnail