7,082
7.1K

Apr 12, 2007
04/07

by
Rafael Garcia; Alex Zozulya; James Stickney

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Among the ideas to be conveyed to students in an introductory quantum course, we have the pivotal idea championed by Dirac that functions correspond to column vectors (kets) and that differential operators correspond to matrices (ket-bras) acting on those vectors. The MATLAB (matrix-laboratory) programming environment is especially useful in conveying these concepts to students because it is geared towards the type of matrix manipulations useful in solving introductory quantum physics problems....

Source: http://arxiv.org/abs/0704.1622v1

3,301
3.3K

Oct 8, 2007
10/07

by
Max Tegmark

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I explore physics implications of the External Reality Hypothesis (ERH) that there exists an external physical reality completely independent of us humans. I argue that with a sufficiently broad definition of mathematics, it implies the Mathematical Universe Hypothesis (MUH) that our physical world is an abstract mathematical structure. I discuss various implications of the ERH and MUH, ranging from standard physics topics like symmetries, irreducible representations, units, free parameters,...

Source: http://arxiv.org/abs/0704.0646v2

3,175
3.2K

Jun 2, 2009
06/09

by
Shouchuan Zhang; Jing Cheng; Jieqiong He

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To classify the finite dimensional pointed Hopf algebras with $G= {\rm HS}$ or ${\rm Co3}$ we obtain the representatives of conjugacy classes of $G$ and all character tables of centralizers of these representatives by means of software {\rm GAP}.

Source: http://arxiv.org/abs/0906.0408v1

2,763
2.8K

May 13, 2009
05/09

by
B. Pritychenko; S. F. Mughaghab; A. A. Sonzogni

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We calculated the Maxwellian-averaged cross sections (MACS) and astrophysical reaction rates of the stellar nucleosynthesis reactions (n,$\gamma$), (n,fission), (n,p), (n,$\alpha$) and (n,2n) using the ENDF/B-VII.0-, JEFF-3.1-, JENDL-3.3-, and ENDF/B-VI.8-evaluated nuclear-data libraries. Four major nuclear reaction libraries were processed under the same conditions for Maxwellian temperatures ({\it kT}) ranging from 1 keV to 1 MeV. We compare our current calculations of the {\it s}-process...

Source: http://arxiv.org/abs/0905.2086v1

2,702
2.7K

Sep 30, 1994
09/94

by
S. W. Hawking

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Three illustrated lectures given by Stephen Hawking as part of a series of six lectures with Roger Penrose on the nature of space and time sponsored by Princeton University Press.

Source: http://arxiv.org/abs/hep-th/9409195v1

2,099
2.1K

Apr 8, 2013
04/13

by
Mikkel Meyer Andersen; Poul Svante Eriksen; Niels Morling

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Y-STR data simulated under a Fisher-Wright model of evolution with a single-step mutation model turns out to be well predicted by a method using discrete Laplace distributions.

Source: http://arxiv.org/abs/1304.2129v1

1,950
2.0K

Nov 15, 2011
11/11

by
Michael S. Bessell

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Photonic passbands have been derived for the uvby standard system by convolving the original filter passbands of Str\"omgren and Perry with atmospheric extinction and the QE of a cooled 1P21 photomultiplier tube. Using these new passbands, synthetic photometry was calculated for all the stars in the extensive NGSL and MILES spectrophotometric libraries and compared with the homogenised b-y, m1 and c1 indices in the Hauck-Mermilliod 1998 catalog and the derived u - v and v - b colors....

Source: http://arxiv.org/abs/1111.2632v2

1,948
1.9K

Sep 17, 1998
09/98

by
Saeed Zakeri

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This manuscript is an introduction to the theory of holomorphic foliations on the complex projective plane. Historically the subject has emerged from the theory of ODEs in the complex domain and various attempts to solve Hilbert's 16th Problem, but with the introduction of complex algebraic geometry, foliation theory and dynamical systems, it has now become an interesting subject of its own.

Source: http://arxiv.org/abs/math/9809099v1

1,905
1.9K

Nov 10, 2001
11/01

by
James L. Clem; D. A. VandenBerg; F. Grundahl; R. A. Bell

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A new extensive grid of synthetic Str{\"o}mgren colors and bolometric corrections is presented for F-M type dwarf and giant stars having 3000K $\leq$ T$_{\rm{eff}}$ $\leq$ 8000K, 0.0 $\leq$ log $g$ $\leq$ 5.0, and -3.0 $\leq$ [Fe/H] $\leq$ 0.5. These purely theoretical colors are placed on the observational system using color calibrations derived from $uvby$ photometry of nearby field stars having $Hipparcos$ parallaxes and effective temperatures determined by the infrared flux method....

Source: http://arxiv.org/abs/astro-ph/0111202v1

1,882
1.9K

Sep 15, 1995
09/95

by
Christian Holm; Wolfhard Janke

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We study 2D quantum gravity on spherical topologies using the Regge calculus approach. Our goal is to shed new light upon the validity of the Regge approach to quantum gravity, which has recently been questioned in the literature. We incorporate an $R^2$ interaction term and investigate its effect on the value of the string susceptibility exponent $\gamma_{\rm str}$ using two different finite-size scaling Ans\"atze. Our results suggest severe shortcomings of the methods used so far to...

Source: http://arxiv.org/abs/hep-lat/9509051v1

1,874
1.9K

Oct 3, 1995
10/95

by
J. Lopez; D. Nanopoulos

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We show that the presence of an anomalous $\rm U_A(1)$ factor in the gauge group of string-derived models may have the new and important phenomenological consequence of allowing the vanishing of ${\rm Str}\,{\cal M}^2$ in the ``shifted" vacuum, that results in the process of cancelling the anomalous $\rm U_A(1)$. The feasibility of this effect seems to be enhanced by a vanishing vacuum energy, and by a ``small" value of ${\rm Str}\,{\cal M}^2$ in the original vacuum. In the class of...

Source: http://arxiv.org/abs/hep-ph/9510216v1

1,873
1.9K

Nov 24, 2004
11/04

by
Marek Pawlowski

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The velocity dependence of energy and momentum is studied. It is shown that in the case of STR in the space-time of only one spatial dimension the standard energy and momentum definition can be naturally modified without lost of local Lorenz invariance, conservation rules and additivity for multiparticle system. One parameter family of energies and momenta is constructed and it is shown that within natural conditions there is no further freedom. Choosing proper family parameter one can obtain...

Source: http://arxiv.org/abs/hep-th/0411226v1

1,665
1.7K

Sep 15, 2011
09/11

by
Alberto Pepe; Spencer Wolff; Karen Van Godtsenhoven

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Uno, Nessuno, Centomila ("One, No One and One Hundred Thousand") is a classic novel by Italian playwright Luigi Pirandello. Published in 1925, it recounts the tragedy of Vitangelo Moscarda, a man who struggles to reclaim a coherent and unitary identity for himself in the face of an inherently social and multi-faceted world. What would Moscarda identity tragedy look like today? In this article we transplant Moscarda's identity play from its offline setting to the contemporary arena of...

Source: http://arxiv.org/abs/1109.3428v1

1,519
1.5K

Feb 20, 2003
02/03

by
Subhash Kak

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Did the Indian and Babylonian astronomy evolve in isolation, was there mutual influence, or was one dependent on the other? Scholars have debated these questions for more than two centuries, and opinion has swung one way or the other with time. The similarities between the two systems that have been investigated are: the use of 30 divisions of the lunar month; the 360 divisions of the civil year; the length of the year; and the solar zodiac. Some have wondered if the Babylonian planetary tables...

Source: http://arxiv.org/abs/physics/0301078v2

1,453
1.5K

Jan 11, 2009
01/09

by
Andre Gsponer

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This report is a self-contained and comprehensive review of the physics of propagating pulses of high-intensity high-energy particle beams in pre-existing or self-generated plasmas. Consideration is given to beams of electrons, protons, muons, and their antiparticles, as well as to neutral-hydrogen, positronium, and electron-positron-plasmoid beams. The first part is a systematic overview of the theory pertaining to propagation, plasma self-generation, energy/current-losses, and stability of...

Source: http://arxiv.org/abs/physics/0409157v3

1,264
1.3K

Jul 26, 2010
07/10

by
Mubashir Husain Rehmani; Sidney Doria; Mustapha Reda Senouci

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The Network Simulator (NS-2) is a most widely used network simulator. It has the capabilities to simulate a range of networks including wired and wireless networks. In this tutorial, we present the implementation of Ad Hoc On-Demand Distance Vector (AODV) Protocol in NS-2. This tutorial is targeted to the novice user who wants to understand the implementation of AODV Protocol in NS-2.

Source: http://arxiv.org/abs/1007.4065v2

1,244
1.2K

Jan 16, 2013
01/13

by
ALICE Collaboration

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In high-energy heavy-ion collisions, the correlations between the emitted particles can be used as a probe to gain insight into the charge creation mechanisms. In this article, we report the first results of such studies using the electric charge balance function in the relative pseudorapidity \Delta\eta and azimuthal angle \Delta\phi in Pb-Pb collisions at sqrt{s_{NN}} = 2.76 TeV with the ALICE detector at the Large Hadron Collider. The width of the balance function decreases with growing...

Source: http://arxiv.org/abs/1301.3756v1

1,211
1.2K

Dec 21, 2004
12/04

by
Ruslan Sharipov

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This book is a textbook for the basic course of differential geometry. It is recommended as an introductory material for this subject.

Source: http://arxiv.org/abs/math/0412421v1

1,188
1.2K

Oct 25, 2011
10/11

by
G. S. Beloglazov; A. L. Bobrick; S. V. Chervon; B. V. Danilyuk; M. V. Dolgopolov; M. G. Ivanov; O. G. Panina; E. Yu. Petrova; I. N. Rodionova; E. N. Rykova; M. Y. Shalaginov; I. S. Tsirova; I. V. Volovich; A. P. Zubarev

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The present issue of the series represents the Proceedings of the Students Training Contest Olympiad in Mathematical and Theoretical Physics and includes the statements and the solutions of the problems offered to the participants. The contest Olympiad was held on May 21st-24th, 2010 by Scientific Research Laboratory of Mathematical Physics of Samara State University, Steklov Mathematical Institute of Russia's Academy of Sciences, and Moscow Institute of Physics and Technology (State...

Source: http://arxiv.org/abs/1110.4864v2

1,173
1.2K

Nov 28, 2007
11/07

by
Z. Mikulasek

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In the last few decades both the volume of high-quality observing data on variable stars and common access to them have boomed; however the standard used methods of data processing and interpretation have lagged behind this progress. The most popular method of data treatment remains for many decades Linear Regression (LR) based on the principles of Least Squares Method (LSM) or linearized LSM. Unfortunately, we have to state that the method of linear regression is not as a rule used accordingly...

Source: http://arxiv.org/abs/0711.4510v1

1,166
1.2K

Mar 6, 2001
03/01

by
Anatol N. Kirillov; Nadejda Liskova

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For any rational number $p_0\ge 1$ we prove an identity of Rogers-Ramanujan-Gordon-Andrews' type. Bijection between the space of states for XXZ model and that of XXX model is constructed.

Source: http://arxiv.org/abs/math/0103030v1

1,156
1.2K

Jun 20, 2013
06/13

by
Ruslan Sharipov

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This book is a regular textbook of analytical geometry covering vector algebra and its applications to describing straight lines, planes, and quadrics in two and three dimensions. The stress is made on vector algebra by using skew-angular coordinates and by introducing some notations and prerequisites for understanding tensors. The book is addressed to students specializing in mathematics, physics, engineering, and technologies and to students of other specialities where educational standards...

Source: http://arxiv.org/abs/1111.6521v2

1,081
1.1K

Mar 20, 2008
03/08

by
V. Dolotin; A. Morozov

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Concise introduction to a relatively new subject of non-linear algebra: literal extension of text-book linear algebra to the case of non-linear equations and maps. This powerful science is based on the notions of discriminant (hyperdeterminant) and resultant, which today can be effectively studied both analytically and by modern computer facilities. The paper is mostly focused on resultants of non-linear maps. First steps are described in direction of Mandelbrot-set theory, which is direct...

Source: http://arxiv.org/abs/hep-th/0609022v4

1,057
1.1K

Aug 10, 2001
08/01

by
Jozef H. Przytycki

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We give a description of the growth of research on Knot Theory in Japan. We place our report in a general historical context. In particular, we compare the development of research on mathematical topology in Japan with that in Poland and USA, observing several similarities. Toward the end of XIX century and at the beginning of XX century several young mathematicians, educated in Germany, France or England were returning to their native countries and building, almost from scratch, schools of...

Topic: genealogy

Source: http://arxiv.org/abs/math/0108072v1

1,034
1.0K

Jul 16, 1993
07/93

by
A. Y. Shiekh

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A scalar field theory is investigated within the context of orthodox quantum gravity.

Source: http://arxiv.org/abs/hep-th/9307100v2

1,011
1.0K

Jul 23, 2010
07/10

by
Bram Gaasbeek

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This is a very gentle introductory course on quantum mechanics aimed at the first years of the undergraduate level. The basic concepts are introduced, with many applications and illustrations. Contains 12 short chapters of equal length, ideal for a one term course. The license allows reuse of figures and text under the Attribution-Noncommercial-ShareAlike conditions.

Source: http://arxiv.org/abs/1007.4184v1

986
986

Nov 25, 1993
11/93

by
Kunihiko Kaneko; Junji Suzuki

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Mutual imitation games among artificial birds are studied. By employing a variety of mappings and game rules, the evolution to the edge between chaos and windows is universally confirmed. Some other general features are observed, including punctuated equilibria, and successive alternations of dominant species with temporal complexity. Diversity of species aided by the symbolization of artificial birds' song are also shown.

Source: http://arxiv.org/abs/adap-org/9311002v1

945
945

Mar 28, 2012
03/12

by
Sebastian Wolf; Fabien Malbet; Richard Alexander; Jean-Philippe Berger; Michelle Creech-Eakman; Gaspard Duchene; Anne Dutrey; Christophe Mordasini; Eric Pantin; Frederic Pont; Joerg-Uwe Pott; Eric Tatulli; Leonardo Testi

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We present a review of the interplay between the evolution of circumstellar disks and the formation of planets, both from the perspective of theoretical models and dedicated observations. Based on this, we identify and discuss fundamental questions concerning the formation and evolution of circumstellar disks and planets which can be addressed in the near future with optical and infrared long-baseline interferometers. Furthermore, the importance of complementary observations with long-baseline...

Source: http://arxiv.org/abs/1203.6271v1

941
941

Jul 13, 1994
07/94

by
Daksh Lohia

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The existence of non trivial, non topological solutions in a class of induced, effective gravity models arising out of a non minimally coupled scalar field is established. We shall call such solutions ``Gravity Balls'' as the effective gravitational constant inside the soliton differs from its effective value outside.

Source: http://arxiv.org/abs/gr-qc/9407013v1

915
915

Nov 5, 1996
11/96

by
M. D. Maia

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The concept of time is discussed in the context of the canonical formulation of the gravitational field. Using a hypersurface orthogonal foliation, the arbitrariness of the lapse function is eliminated and the shift vector vanishes, allowing a consistent definition of time.

Source: http://arxiv.org/abs/gr-qc/9611010v1

911
911

Oct 14, 2013
10/13

by
S. Rajasekar; P. Philominathan; V. Chinnathambi

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In this manuscript various components of research are listed and briefly discussed. The topics considered in this write-up cover a part of the research methodology paper of Master of Philosophy (M.Phil.) course and Doctor of Philosophy (Ph.D.) course. The manuscript is intended for students and research scholars of science subjects such as mathematics, physics, chemistry, statistics, biology and computer science. Various stages of research are discussed in detail. Special care has been taken to...

Source: http://arxiv.org/abs/physics/0601009v3

908
908

Jan 15, 2001
01/01

by
Subhash Kak

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This paper provides an overview of the birth and early development of Indian astronomy. Taking account of significant new findings from archaeology and literary analysis, it is shown that early mathematical astronomy arose in India in the second millennium BC. The paper reviews the astronomy of the period of the Vedas, the Brahmanas, and the Vedanga Jyotisha. The origins of Puranic cosmology are also explained.

Source: http://arxiv.org/abs/physics/0101063v1

905
905

Jul 6, 2005
07/05

by
A. A. Logunov

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The book presents ideas by H. Poincare and H. Minkowski according to those the essence and the main content of the relativity theory are the following: the space and time form a unique four-dimensional continuum supplied by the pseudo-Euclidean geometry. All physical processes take place just in this four-dimensional space. Comments to works and quotations related to this subject by L. de Broglie, P.A.M. Dirac, A. Einstein, V.L. Ginzburg, S. Goldberg, P. Langevin, H.A. Lorentz, L.I....

Source: http://arxiv.org/abs/physics/0408077v4

901
901

Oct 25, 1999
10/99

by
Renee C. Kraan-Korteweg

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A deep optical galaxy search in the southern Milky Way - aimed at reducing the width of the Zone of Avoidance - revealed 3279 galaxy candidates above the diameter limit of D > 0.2 arcmin, of which only 112 (3.4%) were previously catalogued. The surveyed region (266 < l < 296 and -10 < b < +8) lies in the extension of the Hydra and Antlia clusters - where a supercluster is suspected - and in the approximate direction of the dipole anisotropy in the Cosmic Microwave Background...

Source: http://arxiv.org/abs/astro-ph/9910455v1

886
886

May 7, 2010
05/10

by
Omer Shahid Ahmad; Faisal Alrashdi; Jason; Chen; Najah Ilham; Jianhai Lu; Yiwei Sun; Tong Wang; Yongxin Zhu

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The Software Design Document of UUIS describes the prototype design details of the system architecture, database layer, deployment and configuration details as well as test cases produced while working the design and implementation of the prototype. The requirements specification of UUIS are detailed in arXiv:1005.0783.

Source: http://arxiv.org/abs/1005.0665v2

874
874

Aug 10, 2010
08/10

by
David C. Johnston

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The response of the worldwide scientific community to the discovery in 2008 of superconductivity at Tc = 26 K in the Fe-based compound LaFeAsO_{1-x}F_x has been very enthusiastic. In short order, other Fe-based superconductors with the same or related crystal structures were discovered with Tc up to 56 K. Many experiments were carried out and theories formulated to try to understand the basic properties of these new materials and the mechanism for Tc. In this selective critical review of the...

Source: http://arxiv.org/abs/1005.4392v2

872
872

Dec 10, 2003
12/03

by
Stéphane Gaussent; Peter Littelmann

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We give an interpretation of the path model of a representation \cite{Lit1} of a complex semisimple algebraic group $G$ in terms of the geometry of its affine Grassmannian. In this setting, the paths are replaced by LS--galleries in the affine Coxeter complex associated to the Weyl group of $G$. To explain the connection with geometry, consider a Demazure--Hansen--Bott--Samelson desingularization $\hat\Sigma(\lam)$ of the closure of an orbit $G(\bc[[t]]).\lam$ in the affine Grassmannian. The...

Source: http://arxiv.org/abs/math/0307122v3

856
856

Jun 20, 1994
06/94

by
G. A. Miller

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Charge independence and symmetry are approximate symmetries of nature. The observations of the small symmetry breaking effects and the consequences of those effects are reviewed. The effects of the mass difference between up and down quarks and the off shell dependence $q^2$ of $\rho^0$-$\omega$ mixing are stressed. In particular, I argue that models which predict a strong $q^2$ dependence of $\rho^0$-$\omega$ mixing seem also to predict a strong $q^2$ variation for the $\rho^0$-$\gamma^*$...

Source: http://arxiv.org/abs/nucl-th/9406023v1

839
839

Jul 4, 1999
07/99

by
H. C. Rosu

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First Internet graduate course on Classical Mechanics in Spanish (Castellano). This is about 80% of the material I covered during the January-June 1999 semester at IFUG in the Mexican city of Leon. English and Romanian versions are in (slow) progress and hopefully will be arXived. For a similar course on Quantum Mechanics, see physics/9808031

Source: http://arxiv.org/abs/physics/9906066v2

830
830

Sep 25, 2012
09/12

by
C. Gros

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An thorough introduction is given at an introductory level to the field of quantitative complex system science, with special emphasis on emergence in dynamical systems based on network topologies. Subjects treated include graph theory and small-world networks, a generic introduction to the concepts of dynamical system theory, random Boolean networks, cellular automata and self-organized criticality, the statistical modeling of Darwinian evolution, synchronization phenomena and an introduction...

Source: http://arxiv.org/abs/0807.4838v3

814
814

Apr 8, 2009
04/09

by
Stephen Boughn

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One of the great challenges for 21st century physics is to quantize gravity and generate a theory that will unify gravity with the other three fundamental forces of nature. This paper takes the (heretical) point of view that gravity may be an inherently classical, i.e., nonquantum, phenomenon and investigates the experimental consequences of such a model. At present there is no experimental evidence of the quantum nature of gravity and the liklihood of definitive tests in the future is not at...

Source: http://arxiv.org/abs/0809.4218v3

809
809

Oct 31, 2011
10/11

by
J. C. A. Barata; M. S. Hussein

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In the last decades the Moore-Penrose pseudoinverse has found a wide range of applications in many areas of Science and became a useful tool for physicists dealing, for instance, with optimization problems, with data analysis, with the solution of linear integral equations, etc. The existence of such applications alone should attract the interest of students and researchers in the Moore-Penrose pseudoinverse and in related sub jects, like the singular values decomposition theorem for matrices....

Source: http://arxiv.org/abs/1110.6882v1

807
807

Jun 22, 2011
06/11

by
R. M. Ali; V. Ravichandran

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A normalized univalent function is uniformly convex if it maps every circular arc contained in the open unit disk with center in it into a convex curve. This article surveys recent results on the class of uniformly convex functions and on an analogous class of uniformly starlike functions.

Source: http://arxiv.org/abs/1106.4377v1

799
799

Nov 16, 2008
11/08

by
Maxim Kontsevich; Yan Soibelman

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We define new invariants of 3d Calabi-Yau categories endowed with a stability structure. Intuitively, they count the number of semistable objects with fixed class in the K-theory of the category ("number of BPS states with given charge" in physics language). Formally, our motivic DT-invariants are elements of quantum tori over a version of the Grothendieck ring of varieties over the ground field. Via the quasi-classical limit "as the motive of affine line approaches to 1" we...

Source: http://arxiv.org/abs/0811.2435v1

789
789

Nov 24, 1992
11/92

by
C. M. Hull

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The geometric structure of theories with gauge fields of spins two and higher should involve a higher spin generalisation of Riemannian geometry. Such geometries are discussed and the case of $W_\infty$-gravity is analysed in detail. While the gauge group for gravity in $d$ dimensions is the diffeomorphism group of the space-time, the gauge group for a certain $W$-gravity theory (which is $W_\infty$-gravity in the case $d=2$) is the group of symplectic diffeomorphisms of the cotangent bundle of...

Source: http://arxiv.org/abs/hep-th/9211113v1

786
786

Mar 15, 2011
03/11

by
Nataliya Horbenko; Peter Ruckdeschel; Taehan Bae

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According to the Loss Distribution Approach, the operational risk of a bank is determined as 99.9% quantile of the respective loss distribution, covering unexpected severe events. The 99.9% quantile can be considered a tail event. As supported by the Pickands-Balkema-de Haan Theorem, tail events exceeding some high threshold are usually modeled by a Generalized Pareto Distribution (GPD). Estimation of GPD tail quantiles is not a trivial task, in particular if one takes into account the heavy...

Source: http://arxiv.org/abs/1012.0249v3

771
771

Apr 29, 2005
04/05

by
Giovanni Gallavotti

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An overview of the foundations of Classical Mechanics

Source: http://arxiv.org/abs/math-ph/0504085v1

770
770

Dec 13, 2011
12/11

by
Shovan Dutta; Subhankar Ray

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The motion of a bead on a rotating circular hoop is investigated using elementary calculus and simple symmetry arguments. The peculiar trajectories of the bead at different speeds of rotation of the hoop are presented. Phase portraits and nature of fixed points are studied. Bifurcation is observed with change in the rotational speed of the hoop. At a critical speed of rotation of the hoop, there appears an interesting relation between the time period and amplitude of oscillation of the bead....

Source: http://arxiv.org/abs/1112.4697v1

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765

Apr 10, 1996
04/96

by
D. A. Verner; E. M. Verner; G. J. Ferland

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We list vacuum wavelengths, energy levels, statistical weights, transition probabilities and oscillator strengths for permitted resonance spectral lines of all ions of 18 astrophysically important elements (H through Si, S, Ar, Ca, Fe). Using a compilation of experimental energy levels, we derived accurate wavelengths for 5599 lines of 1828 ground-term multiplets which have gf-values calculated in the Opacity Project. We recalculated the Opacity Project multiplet gf-values to oscillator...

Source: http://arxiv.org/abs/atom-ph/9604003v1

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759

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This paper shows that characteristic features of Puranic cosmology, such as alternating cosmic continents and oceans of successively doubling areas, can be traced to Vedic texts. The Rigveda speaks of seven regions of the universe, and Yajnavalkya, in Brihadaranyaka Upanishad, presents a cosmology that has all the essential features of the Puranic system. This discovery solves the old puzzle of the origin of Puranic astronomy.

Source: http://arxiv.org/abs/physics/0101012v1

759
759

Apr 5, 2006
04/06

by
Y. S. Kim

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It is said that Einstein's conceptual base for the theory of relativity was the philosophy formulated by Immanuel Kant. Then, is it possible to see how Kant played a role in Einstein's thinking without reading Kant's books? This question arises because it is not possible for physicists to read Kant's writings. Yes, it is possible if we use the method of physics. It is known also that Kant's mode of thinking was profoundly affected by the geography of Koenigsberg where he spent eighty years of...

Source: http://arxiv.org/abs/physics/0604027v1

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746

Dec 12, 2007
12/07

by
James Brau; Yasuhiro Okada; Nicholas Walker

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The International Linear Collider (ILC) is a 200-500 GeV center-of-mass high-luminosity linear electron-positron collider, based on 1.3 GHz superconducting radio-frequency (SCRF) accelerating cavities. The ILC has a total footprint of about 31 km and is designed for a peak luminosity of 2x10^34 cm^-2s^-1. This report is the Executive Summary (Volume I) of the four volume Reference Design Report. It gives an overview of the physics at the ILC, the accelerator design and value estimate, the...

Source: http://arxiv.org/abs/0712.1950v1

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743

Mar 1, 1999
03/99

by
M. Revnivtsev; K. Borozdin; A. Emelyanov

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An outburst of the X-ray transient source XTE J1806--246 (2S1803--245) has been observed by Rossi X-ray Timing Explorer in April-July 1998. Strong quasi-periodical oscillations (QPO) with a central peak frequency around 9 Hz was detected in one observation of the series performed by PCA/RXTE experiment. X-ray flux from the source during the observation with QPO was maximal. The energy spectrum of XTE J1806--246 at this time was softer than for other observations. A sufficient variability of the...

Source: http://arxiv.org/abs/astro-ph/9902145v3

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739

Mar 1, 2012
03/12

by
Davide Albanese; Roberto Visintainer; Stefano Merler; Samantha Riccadonna; Giuseppe Jurman; Cesare Furlanello

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mlpy is a Python Open Source Machine Learning library built on top of NumPy/SciPy and the GNU Scientific Libraries. mlpy provides a wide range of state-of-the-art machine learning methods for supervised and unsupervised problems and it is aimed at finding a reasonable compromise among modularity, maintainability, reproducibility, usability and efficiency. mlpy is multiplatform, it works with Python 2 and 3 and it is distributed under GPL3 at the website http://mlpy.fbk.eu.

Source: http://arxiv.org/abs/1202.6548v2

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729

Apr 24, 2013
04/13

by
Stefano Cavuoti

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In the last decade a new generation of telescopes and sensors has allowed the production of a very large amount of data and astronomy has become, a data-rich science; this transition is often labeled as: "data revolution" and "data tsunami". The first locution puts emphasis on the expectations of the astronomers while the second stresses, instead, the dramatic problem arising from this large amount of data: which is no longer computable with traditional approaches to data...

Source: http://arxiv.org/abs/1304.6615v1

729
729

Apr 14, 2013
04/13

by
Yufeng Lu; Dachun Yang; Wen Yuan

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In this article, the authors introduce the Newton-Morrey-Sobolev space on a metric measure space $(\mathscr{X},d,\mu)$. The embedding of the Newton-Morrey-Sobolev space into the H\"older space is obtained if $\mathscr{X}$ supports a weak Poincar\'e inequality and the measure $\mu$ is doubling and satisfies a lower bounded condition. Moreover, in the Ahlfors $Q$-regular case, a Rellich-Kondrachov type embedding theorem is also obtained. Using the Haj{\l} asz gradient, the authors also...

Source: http://arxiv.org/abs/1304.3871v1

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716

Jul 24, 2011
07/11

by
Eberhard Bodenschatz; Michael Eckert

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This is a historical review of "Prandtl and the G\"ottingen School" from his first work in 1898 to after WWII. We report the development of the boundary layer theory and the investigations that lead Ludwig Prandtl in the spring of 1945 to use a energy cascade model to derive for fully developed turbulence the Kolmogrov length scale. Working at the end of WWII he was not aware of the work by Kolmogorov. Thus Ludwig Prandtl was before Onsager, von Weiz\"acker, and Heisenberg...

Source: http://arxiv.org/abs/1107.4729v1

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708

Oct 5, 2001
10/01

by
Thomas Thiemann

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This is an introduction to the by now fifteen years old research field of canonical quantum general relativity, sometimes called "loop quantum gravity". The term "modern" in the title refers to the fact that the quantum theory is based on formulating classical general relativity as a theory of connections rather than metrics as compared to in original version due to Arnowitt, Deser and Misner. Canonical quantum general relativity is an attempt to define a mathematically...

Source: http://arxiv.org/abs/gr-qc/0110034v1

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707

Jan 13, 2004
01/04

by
J Gerard Wolff

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This book develops the conjecture that all kinds of information processing in computers and in brains may usefully be understood as "information compression by multiple alignment, unification and search". This "SP theory", which has been under development since 1987, provides a unified view of such things as the workings of a universal Turing machine, the nature of 'knowledge', the interpretation and production of natural language, pattern recognition and best-match...

Source: http://arxiv.org/abs/cs/0401009v1

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699

Apr 11, 2013
04/13

by
Nicolas Yunes; Xavier Siemens

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This review is focused on tests of Einstein's theory of General Relativity with gravitational waves that are detectable by ground-based interferometers and pulsar timing experiments. Einstein's theory has been greatly constrained in the quasi-linear, quasi-stationary regime, where gravity is weak and velocities are small. Gravitational waves will allow us to probe a complimentary, yet previously unexplored regime: the non-linear and dynamical strong-field regime. Such a regime is, for example,...

Source: http://arxiv.org/abs/1304.3473v1

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698

Jun 27, 2006
06/06

by
V. Trimble; M. J. Aschwanden; C. J. Hansen

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We bring you, as usual, the Sun and Moon and stars, plus some galaxies and a new section on astrobiology. Some highlights are short (the newly identified class of gamma-ray bursts, and the Deep Impact on Comet 9P/ Tempel 1), some long (the age of the universe, which will be found to have the Earth at its center), and a few metonymic, for instance the term "down-sizing" to describe the evolution of star formation rates with redshift.

Source: http://arxiv.org/abs/astro-ph/0606663v1

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691

Mar 29, 2012
03/12

by
Olivier Sarbach; Manuel Tiglio

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Many evolution problems in physics are described by partial differential equations on an infinite domain; therefore, one is interested in the solutions to such problems for a given initial dataset. A prominent example is the binary black hole problem within Einstein's theory of gravitation, in which one computes the gravitational radiation emitted from the inspiral of the two black holes, merger and ringdown. Powerful mathematical tools can be used to establish qualitative statements about the...

Source: http://arxiv.org/abs/1203.6443v1

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682

May 20, 2013
05/13

by
Erik G. Larsson; Fredrik Tufvesson; Ove Edfors; Thomas L. Marzetta

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Multi-user Multiple-Input Multiple-Output (MIMO) offers big advantages over conventional point-to-point MIMO: it works with cheap single-antenna terminals, a rich scattering environment is not required, and resource allocation is simplified because every active terminal utilizes all of the time-frequency bins. However, multi-user MIMO, as originally envisioned with roughly equal numbers of service-antennas and terminals and frequency division duplex operation, is not a scalable technology....

Source: http://arxiv.org/abs/1304.6690v2

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674

Nov 14, 2001
11/01

by
A. Mohammad-Djafari

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The classical Maximum Entropy (ME) problem consists of determining a probability distribution function (pdf) from a finite set of expectations of known functions. The solution depends on $N+1$ Lagrange multipliers which are determined by solving the set of nonlinear equations formed by the $N$ data constraints and the normalization constraint. In this short communication we give three Matlab programs to calculate these Lagrange multipliers. The first considers the general case where the...

Source: http://arxiv.org/abs/physics/0111126v1

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663

Feb 4, 2010
02/10

by
Amir Shahmoradi; Robert J. Nemiroff

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Simple hardness ratios are found to be a good estimator for the spectral peak energy in Gamma-Ray Bursts (GRBs). Specifically, a high correlation strength is found between the $\nu F_{\nu}$ peak in the spectrum of BATSE GRBs, $\epo$, and the hardness of GRBs, $\hr$, as defined by the fluences in channels 3 and 4, divided by the combined fluences in channels 1 and 2 of the BATSE Large Area Detectors. The correlation is independent of the type of the burst, whether Long-duration GRB (LGRB) or...

Source: http://arxiv.org/abs/0912.2148v2

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660

May 29, 2010
05/10

by
Daniel O. Gomez; Pablo D. Mininni; Pablo Dmitruk

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Much of the progress in our understanding of dynamo mechanisms has been made within the theoretical framework of magnetohydrodynamics (MHD). However, for sufficiently diffuse media, the Hall effect eventually becomes non-negligible. We present results from three dimensional simulations of the Hall-MHD equations subjected to random non-helical forcing. We study the role of the Hall effect in the dynamo efficiency for different values of the Hall parameter, using a pseudospectral code to achieve...

Source: http://arxiv.org/abs/1005.5422v1

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660

Dec 11, 1997
12/97

by
Keith A. Olive

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The concordance of standard big bang nucleosynthesis theory and the related observations of the light element isotopes (including some new higher \he4 abundances) will be reviewed. Implications of BBN on chemical evolution, dark matter and constraints on particle properties will be discussed.

Source: http://arxiv.org/abs/astro-ph/9712160v1

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632

Aug 11, 2003
08/03

by
A. Hebecker; C. Wetterich

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A unified description of all interactions could be based on a higher-dimensional theory involving only spinor fields. The metric arises as a composite object and the gravitational field equations contain torsion-corrections as compared to Einstein gravity. Lorentz symmetry in spinor space is only global, implying new goldstone-boson-like gravitational particles beyond the graviton. However, the Schwarzschild and Friedman solutions are unaffected at one loop order. Our generalized gravity seems...

Source: http://arxiv.org/abs/hep-th/0307109v3

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632

Oct 2, 1995
10/95

by
Shao-shiung Lin; Shi-shyr Roan

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We investigate Bethe Ansatz equations for the one-dimensional spin-$\frac{1}{2}$ Heisenberg XXX chain with a special interest in a finite system. Solutions for the two-particle sector are obtained. The ground state in antiferromagnetic case has been analytically studied through the logarithmic form of Bethe Ansatz equations.

Source: http://arxiv.org/abs/cond-mat/9509183v1

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628

Nov 15, 2010
11/10

by
Greg Durrett; Frank Neumann; Una-May O'Reilly

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Analyzing the computational complexity of evolutionary algorithms for binary search spaces has significantly increased their theoretical understanding. With this paper, we start the computational complexity analysis of genetic programming. We set up several simplified genetic programming algorithms and analyze them on two separable model problems, ORDER and MAJORITY, each of which captures an important facet of typical genetic programming problems. Both analyses give first rigorous insights on...

Source: http://arxiv.org/abs/1007.4636v2

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627

Mar 7, 2012
03/12

by
Andrea Biagioni; Francesca Lo Cicero; Alessandro Lonardo; Pier Stanislao Paolucci; Mersia Perra; Davide Rossetti; Carlo Sidore; Francesco Simula; Laura Tosoratto; Piero Vicini

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One of the most demanding challenges for the designers of parallel computing architectures is to deliver an efficient network infrastructure providing low latency, high bandwidth communications while preserving scalability. Besides off-chip communications between processors, recent multi-tile (i.e. multi-core) architectures face the challenge for an efficient on-chip interconnection network between processor's tiles. In this paper, we present a configurable and scalable architecture, based on...

Source: http://arxiv.org/abs/1203.1536v1

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625

May 15, 2011
05/11

by
Vladimir G. Ivancevic; Tijana T. Ivancevic

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These lecture notes in the De Rham-Hodge theory are designed for a 1-semester undergraduate course (in mathematics, physics, engineering, chemistry or biology). This landmark theory of the 20th Century mathematics gives a rigorous foundation to modern field and gauge theories in physics, engineering and physiology. The only necessary background for comprehensive reading of these notes is Green's theorem from multivariable calculus.

Source: http://arxiv.org/abs/0807.4991v4

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624

Jul 2, 2008
07/08

by
M. Williams; C. A. Meyer

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A common goal in an experimental physics analysis is to extract information from a reaction with multi-dimensional kinematics. The preferred method for such a task is typically the unbinned maximum likelihood method. In fits using this method, the likelihood is a goodness-of-fit quantity in that it effectively discriminates between available hypotheses; however, it does not provide any information as to how well the best hypothesis describes the data. In this paper, we present an {\em ad-hoc}...

Source: http://arxiv.org/abs/0807.0015v2

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624

Mar 3, 2013
03/13

by
Fabian Pedregosa; Gaël Varoquaux; Alexandre Gramfort; Vincent Michel; Bertrand Thirion; Olivier Grisel; Mathieu Blondel; Peter Prettenhofer; Ron Weiss; Vincent Dubourg; Jake Vanderplas; Alexandre Passos; David Cournapeau; Matthieu Brucher; Matthieu Perrot; Édouard Duchesnay

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Scikit-learn is a Python module integrating a wide range of state-of-the-art machine learning algorithms for medium-scale supervised and unsupervised problems. This package focuses on bringing machine learning to non-specialists using a general-purpose high-level language. Emphasis is put on ease of use, performance, documentation, and API consistency. It has minimal dependencies and is distributed under the simplified BSD license, encouraging its use in both academic and commercial settings....

Source: http://arxiv.org/abs/1201.0490v2

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613

Sep 25, 2012
09/12

by
Jean Claude Dutailly

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This is a comprehensive and precise coverage of the mathematical concepts and tools used in present theoretical physics : differential geometry, Lie groups, fiber bundles, Clifford algebra, differential operators, normed algebras, connections, ... Definitions and results are presented in a unifified and easy to use form. Significant new results are presented in functional analysis, differential geometry and Clifford algebras.

Source: http://arxiv.org/abs/1209.5665v1