Mathematics document containing theorems and formulas.
Excerpt: That d is a natural operator from the functor LkTL into functor Lk+1TL. If k > 0...
Excerpt: The origins of this book lie in our earlier book Random Processes: A Mathematical Approach for Engineers, Prentice Hall, 1986. This book began as a second edition to the earlier book and the basic goal remains unchanged ? to introduce the fundamental ideas and mechanics of random processes to engineers in a way that accurately reflects the underlying mathematics, but does not require an extensive mathematical background and does not belabor detailed general proo...
Excerpt: The special role of logic in rational inquiry. What do the fields of astronomy, economics, finance, law, mathematics, medicine, physics, and sociology have in common? Not much in the way of subject matter, that's for sure. And not all that much in the way of methodology. What they do have in common, with each other and with many other fields, is their dependence on a certain standard of rationality. In each of these fields, it is assumed that the participants ca...
Excerpt: The scope of the chapter is sufficiently clear from its title. Particular attention has been paid to compactness and there is also a thoroughgoing treab ment of inverse mapping systems which come strongly to the fore in (11), and also in (VI, VII) in connection with the homology theory of topological spaces. General references: The standard treatises and in addition: AlesandroffUrysohn [a], Cech [g], Steenrod [a], Tukey [TI, Wallace [a], Wallman [a].
Excerpt: Probabilistic inference is an attractive approach to uncertain reasoning and empirical learning in artificial intelligence. Computationalflarise, however, because probabilistic models with the necessary realism and flexibility lead to complex distributions over high-dimensional spaces.
Excerpt: Copying and reprinting. Individual readers of this publication. and nonprofit libraries acting for them. are permitted to make fair use of the material, such as to copy a chapter for use in teaching or research. Permission is granted to quote brief passages from this publication in reviews, provided the customary acknowledgment of the source is given. Republication. systematic copying, or multiple reproduction of any material in this publication (including abstr...
Religion and Christian Theology Collection
Excerpt: In the Jubilee History of Queensland, one reads there are those who credit the discovery of Australia to the time of Alexander the Great, 327 B.C...There can be little doubt that when Strabo wrote fifty years before Christ, and Pliny in the latter part of the first century, and Ptolemy (Claudius Ptolemaeus) in the second, 'of a land of beauty and bounty stretching far to the south of India beyond the equator to an unknown distance' - they...doubtless told the st...
Excerpt: Basic Notions From Topology Differetiable Functions to Problems In Algebra.
Excerpt: Free Will is largely a philosophical term of art for a particular sort of capacity of rational agents to choose a course of action from among various alternatives. Which sort is the free will sort is what all the fuss is about. (And what a fuss it has been: philosophers have debated this question for over two millennia, and just about every major philosopher has had something to say about it.) Most philosophers suppose that the concept of free will is very close...
Excerpt: Seven years have now elapsed since the publication of the first edition of this treatise in October 1948. The friendly interest which the mathematical community has shown for this work has been most gratifying; in fact, the edition was out of print by 1954. We can also report the appearance of a Russian translation of the book in 1951 [Funkcional'nyj Analiz i Polugruppy, Izdatel'stvo Innostrannoj Literatury, Moskva, 1951,636 pages]. Since 1948 both the analytica...
Excerpt: This article is based on my talk at the workshop on Representation Theory and Symmetric Functions, MSRI, April 14, 1997. I thank the organizers (Sergey Fomin, Curtis Greene, Phil Hanlon and Sheila Sundaram) for bringing together a group of outstanding combinatorialists and for giving me a chance to bring to their attention some of the problems that I find very exciting and beautiful.
Excerpt: Homology; Simplicial and Singular Homology; ¥ Complexes; Simplicial Homology; Singular Homology; Homotopy Invariance; Exact Sequences and Excision; and The Equivalence of Simplicial and Singular Homology.
Excerpt: The first and chief need of our Christian life is, Fellowship with God. The Divine life within us comes from God, and is entirely dependent upon Him. As I need every moment afresh the air to breathe, as the s sun every moment afresh sends down its light, so it is only in direct living communication with God that my soul can be strong. The manna of one day was corrupt when the next day came. I must every day have fresh grace from heaven, and I obtain it only in d...
Excerpt: This book is intended to be the basis for a problem-oriented full-year course in mathematical logic for students with a modicum of mathematical sophistication. Volume I covers the basics of propositional and first-order logic through the Soundness, Completeness, and Compactness Theorems, plus some material on applications of the Compactness Theorem. It could easily be used for a one-semester course on these topics. Volume II covers the basics of computability us...
Excerpt: What are wavelets? Wavelets are functions that satisfy certain requirements, the very name wavelet comes from the requirement that should integrate to zero, waving alone and below the x-axis ...
Excerpt: Obability Theory; The Logic Of Science; Long Contents; Principles And Elementary Applications; Plausible Reasoning Deductive And Plausible Reasoning; and Analogies With Physical Theories.
Excerpt: Nonlinear finite element analysis is an essential component of computeraided design. Testing of prototypes is increasingly being replaced by simulation with nonlinear finite element methods because this provides a more rapid and less expensive way to evaluate design concepts and design details. For example, in the field of automotive design, simulation of crashes is replacing full scale tests, both for the evaluation of early design concepts and details of the f...
Excerpt: The Sixteenth century was distinguished by a large and valuable accession of Expositors of the Sacred Volume. Mosheim reckons up not fewer than fifty-five writers, who, in the course of that century, devoted their labors, to a greater or less extent, to the interpretation or illustration of the inspired writings - a circumstance which at once indicated the progress of the principles of the Reformation, and contributed most materially to their diffusion. Nor were...
Excerpt: Undergraduate and K{12 mathematics education in the United States have seen many reforms during the past decade. With the initial results of the Third International Mathematics and Science Study (TIMSS) appearing in October, 1996, there is also considerable interest in mathematics education elsewhere, especially Japan. A major revision in the K{12 curriculum in Japan has recently occurred, and the Mathematical Society of Japan has formed the Working Group for Un...
Alice is about to pick daisies when a white rabbit approaches her, but this rabbit is not like any other rabbit she has seen. Her curious nature forces her to follow the rabbit for a wonderful adventure.
Do you know that an empowering word can spark ideas, open doors, change attitudes, and create solutions? Words can do all these things and much more. They have the potency to redefine personalities, lives, and entire communities. Just think of some of the things words are used for every day: To communicate a message To express a feeling To interact with others To associate meaning, intention, and tone To record history To tell stories And so much more! When used the righ...
Islamic Literature
Excerpt: Ustad Ahmed Hulusi?nin yay?nlanm?? tum eserlerini ve Ingilizce, Almanca, Frans?zca, ?spanyolca, Rusca, Flemenkce, Arnavutca ve Svahilice mevcut cevirilerini ...
A collection of over twenty Dutch fairy tales including: The Entangled Mermaid, The Princess with Twenty Petticoats, and Why the Stork Loves Holland.
Excerpt: This animal has a large head, a very short neck, and prodigious long legs. He is the largest animal of the deer kind. In summer the flies bite him, and make him very uncomfortable.
Excerpt: Karl Latte, best man ever worked for me. Unconventional.... auri cocks an eyebrow, what's that supposed to mean? independent as hell. Born five centuries too late, sees himself as a knight in black ostrich hide. Used to be a cop, but doesn't give a rat's hind end about law. Convince him you're the underdog, and he'll never quit?not while he breathes.
Excerpt: Mama exclaimed Elsie May there's something squeaking in one of the chinks in the fireplace and it stops whenever I come in I wonder what it is.
Règles de pratique ; Court rules ; Film/Fiche is presented as orginally captured.
This extraordinary book explains the engine that has catapulted the Internet from backwater to ubiquity?and reveals that it is sputtering precisely because of its runaway success. With the unwitting help of its users, the generative Internet is on a path to a lockdown, ending its cycle of innovation?and facilitating unsettling new kinds of control. (futureoftheinternet.org)
Excerpt: Twas the night before Christmas, when all through the house Not a creature was stirring not even a mouse, The stockings were hung by the chimney with care in hopes that...
Excerpt: Preface note from the librarian: as a general rule, we only put titles up in the library which have been published by Baen books. The principal reason for this is simply to avoid complications regarding rights with other publishers.
Secret societies ; Caussideiere, Marc, 1808-1861
Excerpt: When good King Arthur was reigning in England, there lived in the Duchy of Cornwall a countryman who had an only son called Jack.
Who influences us in our lives? How do they influence us? Whom do we call an enemy? Whom do we call a friend? And why? Why do we have relationships at all? These are the questions Helena Harper eloquently asks in her collection of poems that examines the relationships in her own life. She has had to rethink her definition of 'enemy', not least because her father was English and her mother German and they met in the aftermath of World War II in Germany. She has also been ...