81. [math-ph/9908031] Complex-Distance Potential Theory And Hyperbolic Equations An extension of potential theory in R^n is obtained by continuing the Euclideandistance function holomorphically to C^n. The resulting Newtonian potential http://arxiv.org/abs/math-ph/9908031

Mathematical Physics, abstract math-ph/9908031 From: Gerald Kaiser [ view email ] Date ( ): Tue, 31 Aug 1999 20:46:07 GMT (29kb) Date (revised v2): Wed, 1 Sep 1999 21:20:39 GMT (29kb) Complex-Distance Potential Theory and Hyperbolic Equations Authors: Gerald Kaiser Comments: 25 pages, submited to Proceedings of 5th Intern. Conf. on Clifford Algebras, Ixtapa, June 24 - July 4, 1999 Subj-class: Mathematical Physics; Analysis of PDEs MSC-class: 31-XX, 32-XX, 35-XX, 78-XX Journal-ref: Clifford Analysis, J. Ryan and W. Sprossig, eds., Birkhauser Progress in Physics, Vol. 19, 2000. An extension of potential theory in R^n is obtained by continuing the Euclidean distance function holomorphically to C^n. The resulting Newtonian potential is generated by an extended source distribution D(z) in C^n whose restriction to R^n is the delta function. This provides a natural model for extended particles in physics. In C^n, interpreted as complex spacetime, D(z) acts as a propagator generating solutions of the wave equation from their initial values. This gives a new connection between elliptic and hyperbolic equations that does not assume analyticity of the Cauchy data. Generalized to Clifford analysis, it induces a similar connection between solutions of elliptic and hyperbolic Dirac equations. There is a natural application to the time-dependent, inhomogeneous Dirac and Maxwell equations, and the `electromagnetic wavelets' introduced previously are an example. Full-text: PostScript PDF , or Other formats References and citations for this submission:

82. ScienceDaily -- Browse Topics: Science/Math/Analysis/Complex_Variable/Potential_ Search Complex Manifolds without potential theory (With an Appendix on the Search potential theory in the Complex Plane (London Mathematical http://www.sciencedaily.com/directory/Science/Math/Analysis/Complex_Variable/Pot

@import "/styles/navbar.css"; @import "/styles/tabStyles.css"; Set home page Bookmark site Add search Latest News ... Email to friend Text Size A A A Front Page ... Complex Variable : Potential Theory Subtopics Search Google: Potential Theory News Books Links ... UCF Researchers Studying Storm Surge Effects Of Hurricanes On Florida Cities (September 16, 2005) full story MELT Data Sheds New And Surprising Light On Birth Of Oceanic Plates (September 14, 2005) full story Getting Down To Basics New Technology Will Make It Possible (September 14, 2005) full story Yale Study Reconciles Two Models Of Schizophrenia (September 13, 2005) full story Most Embryos Produced During IVF Do Not Result In Live Births (September 12, 2005) full story Native Plant Eaters Have Gourmet Palates (September 12, 2005) full story New Surgical Device For Bloodless Operations Gets First U.S. Outing (September 11, 2005) full story Discovery That Bacterium Is Phosphate Gourmet Key Clue To What Makes It Most Social Of Bacteria (September 11, 2005) full story [ More news about Potential Theory Amazon.com's Price:

83. 31-XX 31XX potential theory. {For probabilistic potential theory, see 60J45}. 31-00General reference works (handbooks, dictionaries, bibliographies, etc. http://www.ams.org/mathweb/msc1991/31-XX.html

31-XX Potential theory 31-00 General reference works (handbooks, dictionaries, bibliographies, etc.) 31-01 Instructional exposition (textbooks, tutorial papers, etc.) 31-02 Research exposition (monographs, survey articles) 31-03 Historical (must be assigned at least one classification number from Section 01) 31-04 Explicit machine computation and programs (not the theory of computation or programming) 31-06 Proceedings, conferences, collections, etc. Two-dimensional theory Higher-dimensional theory Other generalizations 31D05 Axiomatic potential theory Top level of Index

84. Potential Theory And Analytic Properties Of A Cantor Set potential theory and analytic properties of a Cantor set. CP Dettmann and NEFrankel Sch. of Phys., Melbourne Univ., Vic., Australia http://www.iop.org/EJ/abstract/0305-4470/26/5/021

@import url(http://ej.iop.org/style/nu/EJ.css); Quick guide Site map Athens login IOP login: Password: Create account Alerts Contact us Journals Home ... This issue C P Dettmann et al J. Phys. A: Math. Gen. Potential theory and analytic properties of a Cantor set C P Dettmann and N E Frankel Sch. of Phys., Melbourne Univ., Vic., Australia Print publication: Issue 5 (7 March 1993) Abstract. The authors consider the electrostatic potential due to a uniform distribution of charge on a Cantor set. Mellin transforms are used to find expansions for the potential at a distance r from the end of the charge distribution. It is found that the potential is a power law multiplied by a function periodic in ln r, together with a power series in r. A recursion relation for the moments of the distribution is used to reveal a similar structure in these moments. Finally Fourier transform techniques are used to find explicit representations for the distribution and its moments. doi:10.1088/0305-4470/26/5/021 URL: http://stacks.iop.org/0305-4470/26/1009 PDF (489 KB) References Articles citing this article Full text PDF (489 KB) References Articles citing this article Article options E-mail abstract Download to citation manager Link to this article Information about Filing Cabinet Find related articles By author C P Dettmann N E Frankel IOP CrossRef Search Recommend Recommend this article Recommend this journal Author services NEW ... Submit referee report Reasons to login Set up an E-mail alert Use your Filing Cabinet Login Previous article ... Help Biomedical Materials

85. A Third-order Optical Potential Theory For Elastic Scattering Of Electrons And P A thirdorder optical potential theory for elastic scattering of electrons andpositrons by atomic hydrogen. FW Byron Jr and CJ Joachain Dept. of Phys. http://www.iop.org/EJ/abstract/0022-3700/14/14/015

@import url(http://ej.iop.org/style/nu/EJ.css); Quick guide Site map Athens login IOP login: Password: Create account Alerts Contact us Journals Home ... This issue F W Byron et al J. Phys. B: At. Mol. Phys. A third-order optical potential theory for elastic scattering of electrons and positrons by atomic hydrogen F W Byron Jr and C J Joachain Print publication: Issue 14 (28 July 1981) Abstract. Analyses the elastic scattering of electrons and positrons by atomic hydrogen at intermediate energies (50-500 eV) by using the basic ideas of the eikonal-Born series method to construct from first principles a local third-order optical potential. In addition to the first-order (static) interaction, the authors' optical potential contains a complex second-order part, obtained from improved values of the second Born approximation to the scattering amplitude, and also the leading contribution of the third-order part. Exchange effects are taken into account by means of a local pseudopotential. A full wave treatment of the optical potential is then performed, and a detailed comparison is made with recent absolute measurements of e -H differential cross sections. Total (integrated) elastic and total (complete) cross sections for both electron and positron impact are also discussed.

86. POTENTIAL THEORY potential theory THEORIE DU POTENTIEL POTENTIALTHEORIE TEORIA DEL POTENZIALE TEORIA POTENCIAL . potential theory. In mathematics. http://msowww.anu.edu.au/library/thesaurus/english/POTENTIALTHEORY.html

English French German Italian Spanish POTENTIAL THEORY THEORIE DU POTENTIEL POTENTIALTHEORIE TEORIA DEL POTENZIALE TEORIA POTENCIAL POTENTIAL THEORY In mathematics. Index and Search webmaster@mso.anu.edu.au

87. CMB - Potential Theory Of The Farthest-Point Distance Function Previous Abstract Previous Page, potential theory of the FarthestPointDistance Function, Next Page Next Abstract http://www.journals.cms.math.ca/cgi-bin/vault/view/laugesen8187

CMB (2003) Vol 46 No 3 / pp. 373-387 Potential Theory of the Farthest-Point Distance Function Richard S. Laugesen and Igor E. Pritsker Abstract TeX format E E E E For download Keywords distance function, farthest points, subharmonic function, representing measure, convex bodies of constant width Language English Category Primary: 31A05, 52A10 Secondary: 52A40

88. CJM - Potential Theory In Lipschitz Domains Previous Abstract Previous Page, potential theory in Lipschitz Domains,Next Page Next Abstract . N. Th. Varopoulos http://www.journals.cms.math.ca/cgi-bin/vault/view/varopoulos1313

CJM (2001) Vol 53 No 5 / pp. 1057-1120 Potential Theory in Lipschitz Domains N. Th. Varopoulos Abstract TeX format For download Keywords none Language English Category Primary: 39A70, 35-02 Secondary: 65M06

89. Basic Potential Theory Of Certain Nonsymmetric Strictly Alpha-stable Processes BASIC potential theory OF CERTAIN NONSYMMETRIC STRICTLY aSTABLE PROCESSES.Zoran Vondracek. Department of Mathematics, University of Zagreb, Bijenicka c. http://www.math.hr/glasnik/vol_37/no1_17.html

Glasnik Matematicki, Vol. 37, No.1 (2002), 211-233. Zoran Vondracek Department of Mathematics, University of Zagreb, Bijenicka c. 30, 10000 Zagreb, Croatia e-mail: vondra@math.hr Abstract. 2000 Mathematics Subject Classification. Key words and phrases. Nonsymmetric stable processes, transition density, Green function, Poisson kernel, harmonic functions, Harnack inequality. Glasnik Matematicki Home Page

90. Keyword Equations: Seepage Potential Theory keyword equations seepage potential theory. List of all equations related tothis keyword. drainage (MACRO) UFIS model home page index app. http://www.gsf.de/UFIS/ufis/schlag_gleichungen/schlagwort507.html

keyword equations: seepage potential theory List of all equations related to this keyword drainage (MACRO) UFIS model home page [index app...] [index typ...] [index brief...] [index quant...] [index equat...] Alex Fieger , Jan 30, 1995 Ekkehard Ernst , 04 Dec 1996

91. Infinitesimal Generators And Quasi-Units In Potential Theory -- Arsove And Leutw Infinitesimal Generators and QuasiUnits in potential theory. Maynard Arsove andHeinz Leutwiler. The underlying structure is taken as a strongly http://www.pnas.org/cgi/content/abstract/72/7/2498

This Article Full Text (PDF) Alert me when this article is cited Alert me if a correction is posted Services Similar articles in this journal Alert me to new issues of the journal Add to My File Cabinet Download to citation manager PubMed Articles by Arsove, M. Articles by Leutwiler, H. July 1, 1975 Infinitesimal Generators and Quasi-Units in Potential Theory Maynard Arsove and Heinz Leutwiler Current Issue Archives Online Submission Info for Authors ... Site Map

92. Hilbert Transforms In Yukawan Potential Theory -- Duffin 69 (12): 3677 -- Procee Hilbert Transforms in Yukawan potential theory. RJ Duffin. If H denotes theclassical Hilbert transform and Hu(x) = v(x), then the functions u(x) and v(x) http://www.pnas.org/cgi/content/abstract/69/12/3677

This Article Full Text (PDF) Alert me when this article is cited Alert me if a correction is posted Services Similar articles in this journal Alert me to new issues of the journal Add to My File Cabinet Download to citation manager PubMed Articles by Duffin, R. J. December 1, 1972 Hilbert Transforms in Yukawan Potential Theory R. J. Duffin If H denotes the classical Hilbert transform and Hu(x) = v(x), then the functions u(x) and v(x) are the values on the real axis of a pair of conjugate functions, harmonic in the upper half-plane. This note gives a generalization of the above concepts in which the Laplace equation u = is replaced by the Yukawa equation u and in which the Cauchy-Riemann equations have a corresponding generalization. This leads to a generalized Hilbert transform H . The kernel function of this new transform is expressable in terms of the Bessel function K . The transform is of convolution type. Current Issue Archives Online Submission Info for Authors ... Site Map

93. Finitely Generated Function Fields And Complexity In Potential Theory In The Pla 5 Steven R. Bell, The Cauchy transform, potential theory, and conformal mapping,Studies in Advanced Mathematics, CRC Press, Boca Raton, FL, 1992. http://projecteuclid.org/Dienst/UI/1.0/Display/euclid.dmj/1077228055

Current Issue Past Issues Search this Journal Editorial Board ... Viewing Abstracts with MathML Steven R. Bell Finitely generated function fields and complexity in potential theory in the plane Source: Duke Math. J. Primary Subjects: Full-text: Access denied (no subscription detected) Access to Duke Mathematical Journal is available by subscription only. Please select one of the following options; or to exit this window, click your browser's back button. I am affiliated with an institution and would like to recommend DMJ to my library for subscription I would like to purchase this specific document for $25. Please click the "buy article" button below. Euclid Identifier: euclid.dmj/1077228055 Mathmatical Reviews number (MathSciNet): Zentralblatt Math Identifier: Digital Object Identifier (DOI): 10.1215/S0012-7094-99-09805-8 To Table of Contents for this Issue References [1] Lars V. Ahlfors and Leo Sario, Riemann surfaces , Princeton Mathematical Series, No. 26, Princeton University Press, Princeton, N.J., 1960. Mathematical Reviews: Zentralblatt-MATH: [2] Steven Bell

94. Witherspoon On Theology And Science Papers by William Witherspoon on the harmony and potential integration of science and theology. Topics include divine action, string theory, human nature, higher dimensions, and miracles. http://www.wwitherspoon.org

WITHERSPOON on About the Author A Reasonable and Comprehensive Argument for Christianity written August, 2004 Miracles - written October 2002. In this commentary on the SYMPOSIUM ON MIRACLES in the September 2002 issue of Zygon , I wish to argue that miracles are not a violation of natural laws. They abide by natural laws in a given physical dimension but as manifest in a lower physical dimension appear as miracles and a violation of the natural laws in that lower dimension. Death and Transfiguration written June 25, 2001. No one escapes death. This paper tries to describe what we might expect when we die and some reasonable suggestions for living this life in preparation for this great event God's Activity in the World written January 1, 2001 . God's activity in the world is clothed with reason in the concept of the higher physical dimensions beyond our three-dimensional world. God is One written March 21, 2000.

95. Donald G. Truhlar potential energy surfaces for chemical reaction dynamics; transition state theory with an emphasis on isotope effects and tunneling corrections. http://comp.chem.umn.edu/truhlar/

Research: Theoretical and Computational Chemistry Research Program Summary Our research group is carrying out theoretical and computational studies of chemical and biochemical reaction dynamics, potential energy surfaces, and molecular solvation . The tools are quantum mechanics, classical and semiclassical mechanics, and molecular modeling. Additional work focuses on electronic structure theory, molecular energy levels, Feynman path integrals, and thermochemistry. Application areas include nanoscale science, quantum photochemistry, combustion, biochemistry (enzymes and neurochemistry) ,catalysis , high-energy species, and atmospheric and environmental chemistry. Quantum mechanical dynamics A critical focus area in our research group is quantum mechanical dynamics. We have developed an efficient linear algebraic variational method for calculating converged quantum mechanical transition probabilities for reactive collisions. At present, the main application area is quantum photochemistry i.e ., the utilization of electronic excitation energy to promote chemical reactions. Other current work based on converged quantal dynamics calculations of chemical reactions includes the calculation of reaction rate coefficients as a function of temperature, studies of the utilization and disposal of vibrational and rotational energy in chemical reactions, and the characterization of quantized dynamical bottle necks for reactions (transition state spectroscopy).

96. A New, Moral, Peaceful, And Progressive Philosophy Of Totalizm (in English) Presents a new philosophy based upon the idea of moral field and the increase of decrease our potential energy resulting from climbing up or down in this moral field. Also explains the scientific theory called the Concept of Dipolar Gravity from which totalizm originates. http://totalizm.20m.com/

Cheap Web Hosting Free Web Hosting Credit Card Offers Web Hosting ... Advertise if(window.ivnRotate) window.ivnRotate1 = new window.ivnRotate('ivnRotate1',0,document.awsSearch1.Keywords) Popular Searches: dvd airfare music Totalizm: the philosophy of happy and fulfilled life (multilingual, e.g. in English Polish , etc.) Click "No" when banners produce error alerts Click "Refresh" or "Moral laws" if this page shows incomplete Menu 1: (Choice of language:) -English -French -German -Italian -Polish -Spanish (Homepage:) Index (English here:) Totalizm Moral laws Free energy Telekinesis ... Text[1/4]: (Polskie tutaj:) Totalizm Prawa Moralne Darmowa energia Telekineza ... Tekst[1/4]: (Hier auf Deutsch:) Totalizm Freie Energie Telekinesis Moralische Gesetze ... Quelreplica dieser Seite (Aquí en español:) Totalizm Energía libre Telekinesis Leyes morales ... Reproducción de la fuente de esta página (Ici en français:) Totalizm Énergie libre Telekinesis Lois morales ... Reproduction de source de cette page (Qui in italiano:) Totalizm Energia libera Telekinesis Leggi morali ... Menu 3: (Alternative addresses of this web page, e.g.:) jan-pajak.com

97. Spaceflight Now | Breaking News | White Dwarfs Shed Light On Dark Matter Report (March 23/01) of astronomical evidence suggesting white dwarf stars are a potential source for dark matter. Findings also contribute to stellar evolution theory. http://spaceflightnow.com/news/n0103/23darkmatter/

White dwarfs shed light on dark matter BY JEFF FOUST SPACEFLIGHT NOW Posted: March 23, 2001 A white dwarf, WD 0346, first reported by Nigel C. Hambly and Simon T. Hodgkin in 1997 and subsequently identified as a blue cool white dwarf, an unusual beast that turns bluish as it cools below about 4,000 Kelvin. The cross-hairs follow the star over the course of 43 years as it exhibits proper motion among background stars around the southern pole of our galaxy. Credit: Nigel C. Hambly, University of Edinburgh/Simon T. Hodgkin, Cambridge University. From Hambly et al. (ApJ Letters, 1997) and hodgkin et al. (Nature, 2000). Some of the invisible "dark matter" that makes up most of the mass of our galaxy may be in the form of previously undetected white dwarf stars, astronomers reported this week. In a paper published in Friday's issue of the journal Science, a team of astronomers in the U.S. and Britain reported that over three dozen cool white dwarfs which despite their name are actually more blue than white recently discovered in the vicinity of the Earth could represent a larger population of stars that may account for a significant fraction of our galaxy's mass. The mystery of dark matter dates back to the 1930s, when astronomer Fritz Zwicky measured rotation rates of galaxies that were much higher than expected given their estimated masses. The only way to explain those high rotation rates, he concluded, was that the galaxy was much more massive than estimated because of the existence of unseen, or dark, matter.

98. Pi à La Mode: Science News Online, Sept. 1, 2001 An article describing a potential link between two disparate mathematical fieldsnumber theory and chaotic dynamics-that could lead to a proof that every digit of pi occurs with the same frequency. http://www.sciencenews.org/20010901/bob9.asp

Science News Books. Subscribe to Science News ... Science News for Kids Math Trek Mozart's Melody Machine Food for Thought Germ-Fighting Germs Science Safari Reading Faces TimeLine 70 Years Ago in Science News Science News e-LETTER. ... Week of Sept. 1, 2001; Vol. 160, No. 9 , p. 136 Pi à la Mode Mathematicians tackle the seeming randomness of pi's digits Ivars Peterson Memorizing the digits of pi—the ratio of a circle's circumference to its diameter—presents a hefty challenge to anyone undertaking that quixotic exercise. Starting with 3.14159265, the decimal digits of pi run on forever, and there is no discernible pattern to ease the task. This irregular landscape represents the form that emerges when a computer plots the first 1 million decimal digits of pi as a random walk. D.V. Chudnovsky and G.V. Chudnovsky The apparent randomness of pi's digits has long intrigued mathematician David H. Bailey of the Lawrence Berkeley (Calif.) National Laboratory. In the 1970s, when Bailey was a graduate student at Stanford University, he memorized the value of pi to more than 300 decimal places. It served "as a diversion during classroom lectures," Bailey confesses. In 1986, after joining NASA's Ames Research Center in Mountain View, Calif., he tested a new supercomputer by having it compute pi to nearly 30 million digits (SN: 2/8/86, p. 91). Any errors would reflect problems in the computer. "The program actually did disclose hardware bugs," Bailey says.

99. WP4 Dewpoint Water Potential Meter: Theory WP4 PotentiaMeter Features and Benefits. WP4 is a researchgrade water potentialmeter. Fast, accurate, and satisfaction guaranteed. http://www.decagon.com/wp4/wptheory.html

Theory Introduction Specifications Friends of WP4 Accessories Water Potential Theory Additional Information Download Library Customer Support Water potential Water Potential is defined as the potential energy of water per unit mass of water in the system. The total water potential of a sample is the sum of four component potentials: gravitational, matric, osmotic, and pressure. Gravitational potential depends on the position of the water in a gravitational field. Matric potential depends on the adsorptive forces binding water to a matrix. Osmotic potential depends on the concentration of dissolved substance in the water. Pressure potential depends on the hydrostatic or pneumatic pressure on the water. The WP4 measures the sum of the osmotic and matric potentials in a sample. Often one or the other of these potentials will be the dominant factor in determining the total potential. For example, solutions like the KCl calibration standard have only an osmotic component. Soils bind water mainly through matric forces, and therefore have mainly a matric component (though salt-affected soils can have a significant osmotic component). Measuring Water Potential with the WP4 Y ) and the vapor pressure of the air is:

100. WIEN 2k Fortran 90 code to perform electronic structure calculations of solids using density functional theory (DFT). It is based on the fullpotential (linearized) augmented plane-wave ((L)APW) + local orbitals (lo) method, among the most accurate schemes for band structure calculations. Commercial http://www.wien2k.at/

Adding a new dimension to DFT calculations of solids ... P. Blaha, K. Schwarz, G. Madsen, D. Kvasnicka and J. Luitz Inst. f. Materials Chemistry, TU Vienna The program package WIEN2k allows to perform electronic structure calculations of solids using density functional theory (DFT). It is based on the full-potential (linearized) augmented plane-wave ((L)APW) + local orbitals (lo) method, one among the most accurate schemes for band structure calculations. In DFT the local (spin) density approximation (LDA) or the improved version of the generalized gradient approximation (GGA) can be used. WIEN2k is an all-electron scheme including relativistic effects and has many features. In the last years it became a tradition to have at least one "WIEN-workshop" every year, where new and experienced users can learn more about the code, interchange ideas and share experiences. This series started in 1993 in Vienna and subsequent workshops were held not only in Vienna, but also in Trieste, Isfahan (Iran) and twice at PennState in the US. In 2005 we will have two workshops, one will be held for the first time in Japan, at Kyoto University; the other at UCLA in California:

Page 5     81-100 of 106    Back | 1  | 2  | 3  | 4  | 5  | 6  | Next 20