Lectures On N Xp
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| Author | : I͡U. N. Linʹkov |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 346 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : 9780821889688 |
This volume is intended for the advanced study of several topics in mathematical statistics. The first part of the book is devoted to sampling theory (from one-dimensional and multidimensional distributions), asymptotic properties of sampling, parameter estimation, sufficient statistics, and statistical estimates. The second part is devoted to hypothesis testing and includes the discussion of families of statistical hypotheses that can be asymptotically distinguished. In particular,the author describes goodness-of-fit and sequential statistical criteria (Kolmogorov, Pearson, Smirnov, and Wald) and studies their main properties. The book is suitable for graduate students and researchers interested in mathematical statistics. It is useful for independent study or supplementaryreading.
| Author | : Jean-Pierre Serre |
| Publisher | : CRC Press |
| Total Pages | : 169 |
| Release | : 2016-04-19 |
| Genre | : Mathematics |
| ISBN | : 1466501936 |
Lectures on NX(p) deals with the question on how NX(p), the number of solutions of mod p congruences, varies with p when the family (X) of polynomial equations is fixed. While such a general question cannot have a complete answer, it offers a good occasion for reviewing various techniques in l-adic cohomology and group representations, presented in
| Author | : Guido Del Pino |
| Publisher | : Springer |
| Total Pages | : 496 |
| Release | : 2006-11-14 |
| Genre | : Mathematics |
| ISBN | : 3540470921 |
With contributions by numerous experts
| Author | : William David Anthony Bryant |
| Publisher | : World Scientific |
| Total Pages | : 779 |
| Release | : 2023-02-17 |
| Genre | : Business & Economics |
| ISBN | : 9811254729 |
People pursue their own interests, whatever those interests might be. Some people have interests that are narrow and selfish, while others have interests that are broad and altruistic. The idea that people are self-interested underpins all of economic analysis and raises two fundamental questions: 1. How do people choose the actions they think will further their own interests? 2. Can the potentially conflicting interests of different people be made to 'mesh' in some sort of socio-economic equilibrium? This book is devoted to a detailed study of the first question. Its Companion Volume (Economy-Wide Microeconomics: Equilibrium, Optimality, Applications and Tests) makes a detailed study of the second question.Following some foundational remarks, this book studies the Arrow-Debreu theory of consumer choice. That theory supposes people choose so as to maximize a complete, continuous, transitive, and reflexive binary preference relation over a non-empty and compact choice set. The book then studies numerous refinements, generalizations and extensions of each of these restrictions — up to and including recent work on Behavioral theories of choice and choice behaviour when preferences are intransitive/incomplete/discontinuous. Also considered is choice behaviour in environments that are not necessarily compact. A study is also made of intertemporal choice and choice under uncertainty. The study of Arrow-Debreu choice theory and its extensions are presented from the Primal, Dual, and Revealed Preference points of view.Consumers are not the only agents in the economy, as Producers are present as well. Beginning with a study of the Arrow-Debreu idea that producers choose from a convex production set so as to maximize profit, the book considers extensions and generalizations of this framework, particularly to non-convex environments. The study is presented from the Primal and Dual points of view.The final chapter in the book provides a link to its Companion Volume. The Chapter indicates how the theories of consumer and producer choice studied here help inform answers of the second question posed above.Resources are available to instructors who adopt this book. More details at www.worldscientific.com/worldscibooks/10.1142/12789-sm
| Author | : Morten Heine Sørensen |
| Publisher | : Elsevier |
| Total Pages | : 457 |
| Release | : 2006-07-04 |
| Genre | : Mathematics |
| ISBN | : 0080478921 |
The Curry-Howard isomorphism states an amazing correspondence between systems of formal logic as encountered in proof theory and computational calculi as found in type theory. For instance,minimal propositional logic corresponds to simply typed lambda-calculus, first-order logic corresponds to dependent types, second-order logic corresponds to polymorphic types, sequent calculus is related to explicit substitution, etc.The isomorphism has many aspects, even at the syntactic level:formulas correspond to types, proofs correspond to terms, provability corresponds to inhabitation, proof normalization corresponds to term reduction, etc.But there is more to the isomorphism than this. For instance, it is an old idea---due to Brouwer, Kolmogorov, and Heyting---that a constructive proof of an implication is a procedure that transformsproofs of the antecedent into proofs of the succedent; the Curry-Howard isomorphism gives syntactic representations of such procedures. The Curry-Howard isomorphism also provides theoretical foundations for many modern proof-assistant systems (e.g. Coq).This book give an introduction to parts of proof theory and related aspects of type theory relevant for the Curry-Howard isomorphism. It can serve as an introduction to any or both of typed lambda-calculus and intuitionistic logic.Key features- The Curry-Howard Isomorphism treated as common theme- Reader-friendly introduction to two complementary subjects: Lambda-calculus and constructive logics- Thorough study of the connection between calculi and logics- Elaborate study of classical logics and control operators- Account of dialogue games for classical and intuitionistic logic- Theoretical foundations of computer-assisted reasoning· The Curry-Howard Isomorphism treated as the common theme.· Reader-friendly introduction to two complementary subjects: lambda-calculus and constructive logics · Thorough study of the connection between calculi and logics.· Elaborate study of classical logics and control operators.· Account of dialogue games for classical and intuitionistic logic.· Theoretical foundations of computer-assisted reasoning
| Author | : Björn O. Roos |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 342 |
| Release | : 2012-12-06 |
| Genre | : Science |
| ISBN | : 364257890X |
The first volume of Lecture Notes in Quantum Chemistry (Lecture Notes in Chemistry 58, Springer Verlag, Berlin 1992) contained a compilation of selected lectures given at the two first European Summer Schools in Quantum Chemistry (ESQC), held in southern Sweden in August 1989 and 1991, respectively. The notes were written by the teachers at the school and covered a large range of topics in ab initio quantum chemistry. After the third summer school (held in 1993) it was decided to put together a second volume with additional material. Important lecture material was excluded in the first volume and has now been added. Such added topics are: integrals and integral derivatives, SCF theory, coupled-cluster theory, relativity in quantum chemistry, and density functional theory. One chapter in the present volume contains the exercise material used at the summer school and in addition solutions to all the exercises. It is the hope of the authors that the two volumes will find good use in the scientific community as textbooks for students, who are interested in learn ing more about modern methodology in molecular quantum chemistry. The books will be used as teaching material in the European Summer Schools in Quantum Chemistry, which are presently planned. Lund in July 1994 Bjorn Roos NOTES ON HARTREE-FOCK THEORY AND RELATED TOPICS JanAlmlof Department of Chemistry University of Minnesota Minneapolis, MN 55455. USA Contents: 1 • Introduction. 2 . The Born-Oppenheimer Approximation. 3. Determinant Wavefunctions and the Pauli Principle. 4. Expectation Values With a Determinant Wavefunction.
| Author | : Pavel I. Etingof |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 215 |
| Release | : 1998 |
| Genre | : Mathematics |
| ISBN | : 0821804960 |
This text is devoted to mathematical structures arising in conformal field theory and the q-deformations. The authors give a self-contained exposition of the theory of Knizhnik-Zamolodchikov equations and related topics. No previous knowledge of physics is required. The text is suitable for a one-semester graduate course and is intended for graduate students and research mathematicians interested in mathematical physics.
| Author | : Sir William Rowan Hamilton |
| Publisher | : |
| Total Pages | : 886 |
| Release | : 1853 |
| Genre | : Quaternions |
| ISBN | : |
| Author | : Tao Qian |
| Publisher | : Springer |
| Total Pages | : 335 |
| Release | : 2016-08-25 |
| Genre | : Mathematics |
| ISBN | : 3319419455 |
This book collects lectures given by the plenary speakers at the 10th International ISAAC Congress, held in Macau, China in 2015. The contributions, authored by eminent specialists, present some of the most exciting recent developments in mathematical analysis, probability theory, and related applications. Topics include: partial differential equations in mathematical physics, Fourier analysis, probability and Brownian motion, numerical analysis, and reproducing kernels. The volume also presents a lecture on the visual exploration of complex functions using the domain coloring technique. Thanks to the accessible style used, readers only need a basic command of calculus.
| Author | : Samuel D Lindenbaum |
| Publisher | : World Scientific Publishing Company |
| Total Pages | : 355 |
| Release | : 1999-04-13 |
| Genre | : Science |
| ISBN | : 9813105461 |
This book is written based on lecture notes covering three to four semesters of graduate courses in quantum mechanics. The author sets out by explaining the physical concepts of quantum mechanics, and then goes on to describe the mathematical formalism and present illustrative examples of the ideas and methods that serve to amplify points discussed in the text. Exercises, with solutions, are included.The chapters are not independent, but build on one another. Subjects range from the failures of classical theory to second quantization, including chapters on the Dirac theory and Feynman diagrams. The book is intended for use as a graduate level text as well as a reference.
