High Quality Content by WIKIPEDIA articles! In the mathematical field of graph theory, a path graph is a particularly simple example of a tree, namely one which is not branched at all, that is, contains only nodes of degree two and one. In particular, two of its vertices have degree 1 and all others (if any) have degree.In graph theory, a path in a graph is a sequence of vertices such that from each of its vertices there is an edge to the next vertex in the sequence. A path may be infinite, but a finite path always has a first vertex, called its start vertex, and a last vertex, called its end vertex. Both of them are called end or terminal vertices of the path. The other vertices in the path are internal vertices. A cycle is a path such...

ISBN: 978-6-1303-3399-7
Издательство: Книга по требованию
Дата выхода: июль 2011

High Quality Content by WIKIPEDIA articles! A Patlak plot (sometimes called Gjedde-Patlak plot, Patlak-Rutland plot, or Patlak analysis) is a graphical analysis technique based on the compartment model that uses linear regression to identify and analyze pharmacokinetics problems involving irreversible uptake, such as in the case of deoxyglucose. It is used for the evaluation of nuclear medicine imaging data after the injection of a radioactive or radioopaque tracer. The analysis is feasible if the behavior of the tracer can be approximated by two compartments, a "central" compartment that is in rapid equilibrium with blood plasma, and a "peripheral" compartment where tracer enters without ever leaving during the time of the measurements....

ISBN: 978-6-1310-5318-4
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Patrick du Val (March 26, 1903–January 22, 1987) was a British mathematician, known for his work on algebraic geometry, differential geometry, and general relativity. The concept of Du Val singularity of an algebraic surface is named after him.Du Val was born in Cheadle Hulme, Cheshire. He was the son of a cabinet maker, but his parents' marriage broke up. As a child, he suffered ill-health, in particular asthma, and was educated mostly by his mother. He was awarded a first class honours degree from the University of London External Programme in 1926, which he took by correspondence course. Данное...

ISBN: 978-6-1346-7428-7
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High Quality Content by WIKIPEDIA articles! Patrick Brosnan (born 1968 in Philadelphia) is an American mathematician, known for his work on motives, Hodge theory, and algebraic groups. He received his PhD from the University of Chicago in 1998 under the direction of Spencer Bloch. Brosnan is the 2009 recipient of the Coxeter-James Prize of the Canadian Mathematical Society. He is on the faculty of the University of British Columbia.In 2003 Brosnan disproved (in joint work with Prakash Belkale), the Spanning Tree Conjecture of Kontsevich. Данное издание не является оригинальным. Книга печатается по технологии принт-он-деманд после получения...

ISBN: 978-6-1336-8822-3
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Pattern search (PS) refers to a family of numerical optimization methods that do not require the gradient of the problem to be optimized and PS can hence be used on functions that are not continuous or differentiable. Such optimization methods are also known as direct-search, derivative-free, or black-box methods.The name, pattern search, was coined by Hooke and Jeeves . An early and simple PS variant is attributed to Fermi and Metropolis when they worked at the Los Alamos National Laboratory as described by Davidon. Данное издание не является оригинальным. Книга...

ISBN: 978-6-1345-9288-8
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High Quality Content by WIKIPEDIA articles! Pattern blocks are a type of mathematical manipulatives, developed in the sixties by the Elementary Science Studies. They allow children to see how shapes can be decomposed into other shapes and introduces them to tilings. The standard pattern blocks are divided into two different sets. In the first set, the shapes can all be built out of the green equilateral triangle. Данное издание не является оригинальным. Книга печатается по технологии принт-он-деманд после получения заказа.

ISBN: 978-6-1311-4231-4
Издательство: Книга по требованию
Дата выхода: июль 2011

Pattern theory, formulated by Ulf Grenander, is a mathematical formalism to describe knowledge of the world as patterns. It differs from other approaches to artificial intelligence in that it does not begin by prescribing algorithms and machinery to recognize and classify patterns; rather, it prescribes a vocabulary to articulate and recast the pattern concepts in precise language. Broad in its mathematical coverage, Pattern Theory spans algebra and statistics, as well as local topological and global entropic properties. Данное издание не является оригинальным. Книга печатается по технологии принт-он-деманд после получения заказа.

ISBN: 978-6-1303-0348-8
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Pattern-equivariant cohomology theory was developed by Ian Putnam and Johannes Kellendonk in 2003, for tilings whose tiles appear in fixed orientations. In this dissertation, we generalize this theory in two ways: first, we define this cohomology to apply to tiling spaces, rather than individual tilings. Second, we allow tilings with tiles appearing in multiple orientations - possibly infinitely many. Along the way, we prove an approximation theorem, which has use beyond pattern-equivariant cohomology. This theorem states that a function which is a topological conjugacy can be approximated arbitrarily closely by a function which preserves the local structure of a tiling space. The approximation theorem is limited to translationally...

ISBN: 978-3-6391-7501-1
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Дата выхода: июль 2011

In his dissertation written at the University of Paderborn under the supervision of Prof. Dr. Joachim Hilgert, the author generalizes parts of a special non-Euclidean calculus of pseudodifferential operators, which was invented by S. Zelditch for hyperbolic surfaces, to symmetric spaces X=G/K of the noncompact type and their compact quotients spaces of nonpositive sectional curvature. Some results are restricted to the case of rank one symmetric spcaes. The non-Euclidean setting extends the defintion of so-called Patterson-Sullivan distributions, which were first defined by N. Anantharaman and S. Zelditch for hyperbolic systems, in a natural way to arbitrary symmetric spaces of the noncompact type. The author finds an explicit...

ISBN: 978-3-8381-2310-3
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Paul Epstein (Frankfurt, July 24, 1871 – Dornbusch, August 11, 1939) was a German mathematician. He is known for his contributions to number theory, in particular the Epstein zeta function.Epstein was raised in Frankfurt where his father was a professor. He received his PhD in 1895 from the University of Strasbourg. From 1895 to 1918 he was a Privatdozent at the University in Strasbourg, which at that time was part of the German Empire. At the end of World War I the city of Strasbourg reverted to France, and Epstein, being German, had to return to Frankfurt. Данное издание не является...

ISBN: 978-6-1347-1829-5
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Paul Althaus Smith (1900 — 13 June 1980) was an American mathematician. His name occurs in two significant conjectures in geometric topology: the Smith conjecture, which is now a theorem, and the Hilbert-Smith conjecture, still open as of 2010[update]. Smith theory is a theory about homeomorphisms of finite order of manifolds, particularly spheres. Данное издание не является оригинальным. Книга печатается по технологии принт-он-деманд после получения заказа.

ISBN: 978-6-1346-6758-6
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Paul Flondor (born 1946) is a professor of algebra at the Polytechnic University of Bucharest, known for many studies and books in mathematical analysis.The professor of the Department of Mathematics II of Polytechnic University of Bucharest is well known in Romania and abroad due to his professional successes. Flondor has had fruitful collaborations with Italian mathematicians, being invited to the University of Rome and the University of Perugia. Together with Vasile Brinzanescu, he received the award of the Romanian Academy in 1986. Данное издание не является оригинальным....

ISBN: 978-6-1347-3619-0
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Paul Koebe (February 15, 1882, Luckenwalde, Brandenburg – August 6, 1945) was a 20th-century German mathematician. His work dealt exclusively with the complex numbers, his most important results being on the uniformization of Riemann surfaces in a series of four papers in 1907–1909. He did his thesis at Berlin, where he worked under Herman Schwarz. He was an extraordinary professor at Leipzig from 1910 to 1914, then an ordinary professor at the University of Jena before returning to Leipzig in 1926 as an ordinary professor. He died in Leipzig. Данное издание не является...

ISBN: 978-6-1348-0026-6
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Paul Ian Biran (born 25 February 1969) is an Israeli mathematician. He holds a chair at the ETH Zurich. His research interests include symplectic geometry and algebraic geometry.Born in Romania, Biran's family moved to Israel in 1971. He attended Tel Aviv University, where he earned his Ph.D. in 1997 under supervision of Leonid Polterovich (thesis: Geometry of Symplectic Packing).Biran was awarded the Oberwolfach Prize in 2003, the EMS Prize in 2004, and the Erdos Prize in 2006. Данное издание не является оригинальным. Книга печатается по технологии...

ISBN: 978-6-1347-0106-8
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Paul Albert Gordan (27 April 1837 – 21 December 1912) was a German mathematician, a student of Carl Jacobi at the University of Konigsberg before obtaining his Ph.D. at the University of Breslau (1862), and a professor at the University of Erlangen-Nuremberg.He was known as "the king of invariant theory". His most famous result is that the ring of invariants of binary forms of fixed degree is finitely generated. He and Alfred Clebsch gave their name to Clebsch-Gordan coefficients. Gordan also served as the thesis advisor for Emmy Noether. Данное издание не является...

ISBN: 978-6-1347-6644-9
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Paul Halpern is an American Professor of Physics, and Fellow in the Humanities at the University of the Sciences in Philadelphia. He received a Ph.D in theoretical physics, a M.A. in physics and a B.A. in physics and mathematics. He was also the recipient of a Guggenheim Fellowship, Fulbright Scholarship, and an Athenaeum Society Literary Award.He has written many widely acclaimed popular science books and articles, books including The Cyclical Serpent, Cosmic Wormholes and The Great Beyond. He also appeared on "Future Quest," a PBS series, as well as the National Public Radio show "Radio Times." Данное...

ISBN: 978-6-1347-5737-9
Издательство: Книга по требованию
Дата выхода: июль 2011

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Paul Erdos (occasionally spelled Erdos or Erdos; Hungarian: Erdos Pal, pronounced ; 26 March 1913 – 20 September 1996) was a Hungarian mathematician. Erdos published more papers than any other mathematician in history, working with hundreds of collaborators. He worked on problems in combinatorics, graph theory, number theory, classical analysis, approximation theory, set theory, and probability theory. He is also known for his "legendarily eccentric" personality. Данное издание не является оригинальным. Книга печатается по технологии...

ISBN: 978-6-1347-3658-9
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Paul Pierre Levy (15 September 1886 – 15 December 1971) was a French mathematician who was active especially in probability theory, introducing martingales and Levy flights. Levy processes, Levy measures, Levy's constant, the Levy distribution, the Levy skew alpha-stable distribution, the Levy area, the Levy arcsine law, and the fractal Levy C curve are also named after him.Levy was born in Paris, the son of Lucien Levy, an Examiner at the Ecole Polytechnique. Levy also attended the Ecole Polytechnique and published his first paper in 1905 at the age of 19, while still an undergraduate. His teacher and advisor...

ISBN: 978-6-1348-7412-0
Издательство: Книга по требованию
Дата выхода: июль 2011

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Paul Benacerraf is an American philosopher working in the field of the philosophy of mathematics who has been teaching at Princeton University since he joined the faculty in 1960. He was appointed Stuart Professor of Philosophy in 1974, and recently retired as the James S. McDonnell Distinguished University Professor of Philosophy. Born in Paris, his parents were Sephardic Jews from Morocco (father) and Algeria (mother). His brother is the Nobel Prize-winning immunologist Baruj Benacerraf. Данное издание не является оригинальным. Книга печатается по...

ISBN: 978-6-1346-5440-1
Издательство: Книга по требованию
Дата выхода: июль 2011

High Quality Content by WIKIPEDIA articles! Paul Appell (27 September 1855 in Strasbourg – 24 October 1930 in Paris), also known as Paul Emile Appel, was a French mathematician and Rector of the University of Paris. The concept of Appell polynomials is named after him, as is rue Paul Appell in the 14th arrondissement of Paris. Данное издание не является оригинальным. Книга печатается по технологии принт-он-деманд после получения заказа.

ISBN: 978-6-1325-6435-1
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Дата выхода: июль 2011

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Paul Glendinning is a British mathematician known for his work on dynamical systems, specifically models of the time-evolution of complex mathematical or physical processes. His main areas of research are bifurcation theory (particularly global bifurcations); synchronization and blowout bifurcations; low dimensional maps; and quasi-periodically forced systems.He gained his PhD from King's College, Cambridge in 1985 with a thesis entitled Homoclinic Bifurcations under the supervision of Nigel Weiss. Данное издание не является оригинальным. Книга печатается по...

ISBN: 978-6-1347-6835-1
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Дата выхода: июль 2011

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Paul Gustav Heinrich Bachmann (June 22, 1837 – March 31, 1920) was a German mathematician.Bachmann studied mathematics at the University of his native city of Berlin and received his doctorate in 1862 for his thesis on group theory. He then went to Breslau to study for his habilitation, which he received in 1864 for his thesis on Complex Units.Bachmann was a professor at Breslau and later at Munster. Данное издание не является оригинальным. Книга печатается по технологии принт-он-деманд после получения заказа.

ISBN: 978-6-1347-6065-2
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Paul H. Rabinowitz (born 1939) is the Edward Burr Van Vleck Professor of Mathematics and a Vilas Research Professor at the University of Wisconsin, Madison. He received a Ph.D. from New York University in 1966 under the direction of Juergen Moser. From 1966 to 1969 he held a postdoctoral appointment at Stanford University. He works in the fields of partial differential equations and nonlinear analysis. He is best known for his global bifurcation theorem. He is the recipient of numerous honors and awards, including the George David Birkhoff Prize in 1998.He was elected as a member of the United States National...

ISBN: 978-6-1348-6196-0
Издательство: Книга по требованию
Дата выхода: июль 2011

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Paul Roesel Garabedian (August 2, 1927 – May 13, 2010) was an applied mathematician and numerical analyst. Garabedian was the Director-Division of Computational Fluid Dynamics at the Courant Institute of Mathematical Sciences, New York University. He is known for his contributions to the fields of computational fluid dynamics and plasma physics (design and optimization of stellarators). He was elected a member of the National Academy of Sciences in 1975. Данное издание не является оригинальным. Книга печатается по технологии...

ISBN: 978-6-1347-4739-4
Издательство: Книга по требованию
Дата выхода: июль 2011

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Paul Moritz Cohn FRS (8 January 1924, Hamburg, Germany – 20 April 2006, London, England) was Astor Professor of Mathematics at University College London, 1986-9, and author of many textbooks on algebra. His work was mostly in the area of algebra, especially non-commutative rings.He was the only child of Jewish parents, James (or Jakob) Cohn, owner of an import business, and Julia (nee Cohen), a schoolteacher. Данное издание не является оригинальным. Книга печатается по технологии принт-он-деманд после получения заказа.

ISBN: 978-6-1346-8491-0
Издательство: Книга по требованию
Дата выхода: июль 2011