Elliptic integral evaluations of Bessel moments (2008)
David H. Bailey, Jonathan M. Borwein, David Broadhurst, M. L. Glasser
We record what is known about the closed forms for various Bessel function moments arising in quantum field theory, condensed matter theory and other parts of mathematical physics. More generally, we...
Solutions by radicals at singular values k_N from new class invariants for N \equiv 3 mod 8 (2008)
For square-free $N\equiv3$ mod 8 and $N$ coprime to 3, I show how to reduce the singular value $k_N$ to radicals, using a novel pair $[f,g]$ of real numbers that are algebraic integers of the Hilbert...
Elliptic integral evaluations of Bessel moments (2008)
Bailey, David H., Borwein, Jonathan M., Broadhurst, David, Glasser, M.L.
We record what is known about the closed forms for various Bessel function moments arising in quantum field theory, condensed matter theory and other parts of mathematical physics. More generally, we...
BIOINFORMATICS APPLICATIONS NOTE Data and text mining (2008)
Roger M. Jarvis, David Broadhurst, Helen Johnson, Noel M. O’boyle, Royston Goodacre
doi:10.1093/bioinformatics/btl416
BIOINFORMATICS PYCHEM: A Multivariate Analysis Package for Python (2008)
Roger M. Jarvis, David Broadhurst, Helen Johnson, Noel M. O’boyle, Royston Goodacre, Martin Bishop
Summary: We have implemented a multivariate statistical analysis toolbox, with an optional standalone graphical user interface (GUI), using the Python scripting language. This is a free and open...
A proof is found for the elliptic integral evaluation of the Bessel moment $$M:=\int_0^\infty t I_0^2(t)K_0^2(t)K_0(2t) {\rm d}t ={1/12} {\bf K}(\sin(\pi/12)){\bf K}(\cos(\pi/12))...
Elliptic integral evaluations of Bessel moments (2008)
Bailey, David H., Borwein, Jonathan M., Broadhurst, David, Glasser, M. L.
We record what is known about the closed forms for various Bessel function moments arising in quantum field theory, condensed matter theory and other parts of mathematical physics. More generally, we...
Elliptic integral evaluations of Bessel moments (2008)
Bailey, David H., Borwein, Jonathan M., Broadhurst, David, Glasser, M.L.
We record what is known about the closed forms for various Bessel function moments arising in quantum field theory,condensed matter theory and other parts of mathematical physics. More generally, we...
Elliptic integral evaluations of Bessel moments and applications (2008)
David H. Bailey, Jonathan M. Borwein, David Broadhurst, M. L. Glasser
We record and substantially extend what is known about the closed forms for various Bessel function moments arising in quantum field theory, condensed matter theory and other parts of mathematical...
Elliptic integral evaluations of Bessel moments and applications (2008)
David H. Bailey, Jonathan M. Borwein, David Broadhurst, M. L. Glasser
We record and substantially extend what is known about the closed forms for various Bessel function moments arising in quantum field theory, condensed matter theory and other parts of mathematical...
Elliptic integral evaluations of Bessel moments and applications (2008)
David H Bailey, Jonathan M Borwein, David Broadhurst, M L Glasser
We record and substantially extend what is known about the closed forms for various Bessel function moments arising in quantum field theory, condensed matter theory and other parts of mathematical...
Dunn, Warwick B, Broadhurst, David, Ellis, David I, Brown, Marie, Halsall, Anthony, OHagan, Steven, ...
Background The stability of mammalian serum and urine in large metabolomic investigations is essential for accurate, valid and reproducible studies. The stability of mammalian serum and urine, either...
High Performance Computing Meets Experimental Mathematics (2007)
David H. Bailey, David Broadhurst, Yozo Hida, Xiaoye S. Li, Lawrence Berkeley, National Labratory, ...
In this paper we describe some novel applications of high performance computing in a discipline now known as “experimental mathematics. ” The paper reviews some recent published work, and then...
Scullion, John, Elliot, Geoffrey N, Worgan, Hilary, Draper, John, Broadhurst, David
Soil is a complex environmental medium, particularly with respect to its biological and organic characteristics. Analytical approaches based on specific aspects of biological or organic variation may...
Gwynn-Jones, Dylan, Gidman, E, Goodacre, R, Broadhurst, David
Nitrogen emissions and atmospheric deposition are globally significant with the potential to alter ecosystem nutrient balance, provoking changes in vegetation composition. Shifts in plant...
Gidman, Eleanor A., Stevens, Carly J., Goodacre, Royston, Broadhurst, David, Emmett, Bridget, Gwynn-Jones, Dylan
Nitrogen emissions and atmospheric deposition are globally significant with the potential to alter ecosystem nutrient balance, provoking changes in vegetation composition. Shifts in plant...
PYCHEM: a multivariate analysis package for python (2006)
Jarvis, Roger M., Broadhurst, David, Johnson, Helen, O'Boyle, Noel M., Goodacre, Royston
Summary: We have implemented a multivariate statistical analysis toolbox, with an optional standalone graphical user interface (GUI), using the Python scripting language. This is a free and open...
Underwood, Benjamin R., Broadhurst, David, Dunn, Warwick B., Ellis, David I., Michell, Andrew W., Vacher, Coralie, ...
There has been considerable progress recently towards developing therapeutic strategies for Huntington's disease (HD), with several compounds showing beneficial effects in transgenic mouse models....
Underwood, Benjamin R., Broadhurst, David, Dunn, Warwick B., Ellis, David I., Michell, Andrew W., Vacher, Coralie, ...
There has been considerable progress recently towards developing therapeutic strategies for Huntington's disease (HD), with several compounds showing beneficial effects in transgenic mouse models....
Rapid detection method for microbial spoilage using FT-IR and machine learning (2005)
Ellis, D. I., Broadhurst, David, Rowland, Jem, Goodacre, Royston
Ellis, David I., Broadhurst, David, Clarke, S. J., Goodacre, Royston
Muscle foods are an integral part of the human diet and during the last few decades consumption of poultry products in particular has increased significantly. It is important for consumers, retailers...
Discrimination of the mode of action of antifungal substances using metabolic footprinting (2004)
Allen, Jess, Davey, Hazel M., Broadhurst, David, Rowland, Jem J., Oliver, Stephen G., Kell, Douglas B.
Diploid cells of Saccharomyces cerevisiae were grown under controlled conditions with a Bioscreen instrument, which permitted the essentially continuous registration of their growth via optical...
Ellis, David I., Broadhurst, David, Goodacre, Royston
Beef is a commercially important and widely consumed muscle food and central to the protein intake of many societies. In the food industry no technology exists for the rapid and accurate detection of...
Griffith, Gareth W, Johnson, Helen E, Broadhurst, David, Kell, Douglas B, Theodorou, Michael K, Merry, Roger J
Silage quality is typically assessed by the measurement of several individual parameters, including pH, lactic acid, acetic acid, bacterial numbers, and protein content. The objective of this study...
Johnson, Helen E., Broadhurst, David, Kell, Douglas B., Theodorou, Michael K., Merry, Roger J., Griffith, Gareth W.
Silage quality is typically assessed by the measurement of several individual parameters, including pH, lactic acid, acetic acid, bacterial numbers, and protein content. The objective of this study...
Discrimination of the mode of action of antifungal substances using metabolic footprinting (2004)
Allen, Jess, Davey, Hazel M., Broadhurst, David, Rowland, Jem, Oliver, Stephen G., Kell, Douglas B.
Diploid cells of Saccharomyces cerevisiae were grown under controlled conditions with a Bioscreen instrument, which permitted the essentially continuous registration of their growth via optical...
Allen, Jess, Davey, Hazel M., Broadhurst, David, Heald, J. K., Rowland, Jem, Oliver, Stephen G., ...
Many technologies have been developed to help explain the function of genes discovered by systematic genome sequencing. At present, transcriptome and proteome studies dominate large-scale functional...
Allen, Jess, Davey, Hazel M., Broadhurst, David, Heald, Jim K, Rowland, Jem J, Oliver, Stephen G, ...
Many technologies have been developed to help explain the function of genes discovered by systematic genome sequencing. At present, transcriptome and proteome studies dominate large-scale functional...
Metabolic fingerprinting of salt-stressed tomatoes (2003)
Johnson, Helen E., Broadhurst, David, Goodacre, Royston, Smith, Aileen R.
The aim of this study was to adopt the approach of metabolic fingerprinting through the use of Fourier transform infrared (FT-IR) spectroscopy and chemometrics to study the effect of salinity on...
Helen E. Johnson, David Broadhurst, Douglas B. Kell, Michael K. Theodorou, Roger J. Merry, ...
Silage quality is typically assessed by the measurement of several individual parameters, including pH, lactic acid, acetic acid, bacterial numbers, and protein content. The objective of this study...
High Performance Computing Meets Experimental Mathematics (2003)
David H. Bailey, David Broadhurst, Yozo Hida, Xiaoye S. Li, Lawrence Berkeley, National Labratory, ...
In this paper we describe some novel applications of high performance computing in a discipline now known as “experimental mathematics. ” The paper reviews some recent published work, and then...
Ellis, D. I., Broadhurst, David, Kell, Douglas B., Rowland, Jem, Goodacre, Royston
Fourier transform infrared (FT-IR) spectroscopy is a rapid, noninvasive technique with considerable potential for application in the food and related industries. We show here that this technique can...
McGovern, Aoife C., Broadhurst, David, Taylor, Janet, Gilbert, R. J., Winson, M. K., Kaderbhai, Naheed, ...
Two rapid vibrational spectroscopic approaches (diffuse reflectance-absorbance Fourier transform infrared [FT-IR] and dispersive Raman spectroscopy), and one mass spectrometric method based on in...
Copyright American Society, David I. Ellis, David Broadhurst, Douglas B. Kell, Jem J. Rowl, Royston Goodacre
showing that at levels of 10 bacteriag the main biochemical indicator of spoilage was the onset of proteolysis. Thus, using FT-IR we were able to acquire a metabolic snapshot and quantify,...
Raamsdonk, Léonie M., Teusink, Bas, Broadhurst, David, Zhang, Nianshu S., Hayes, Andrew, Walsh, Michael C., ...
A large proportion of the 6,000 genes present in the genome of Saccharomyces cerevisiae, and of those sequenced in other organisms, encode proteins of unknown function. Many of these genes are...
Experimental Mathematics: and Exact Computation (2000)
Jonathan M. Borwein, David Broadhurst
. Computation in Mathematics is fast becoming ubiquitous. My intention is to discuss \pure and applied experimental computation " from a mathematician's perspective. I shall try to...