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Using Bioinformatics in Gene and Drug Discovery

By: David B. Searls

Bioinformatics has, out of necessity, become a key aspect of drug discovery in the genomic revolution, contributing to both target discovery and target validation. The author describes the role that bioinformatics has played and will continue to play in response to the waves of genome-wide data sources that have become available to the industry, including expressed sequence tags, microbial genome sequences, model organism sequences, polymorphisms, gene expression data an...

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Injuries and Diseases of the Knee-Joint

By: William Paul Swain
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The Power of Our Words

By: Liz Mcgrath

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...

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Breathe Smart : The Secret to Happiness, Health and Long Life-2Nd ...

By: Aaron Hoopes

Learning to breathe properly is the first step for everyone. Breathing is the basic fundamental aspect of our physical being. It is something we do all day everyday. It is vital that we have the skills to breathe effectively. Then we give the body the energy it needs to do what it is able to do. The 2nd Edition has over 20 new pages and two new chapters including one on Stress, Weight Loss and Breathing. (www.artofzenyoga.com)

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Electricity and Magnetism

By: Benjamin Crowell

Physics Literature

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Newtonian Physics

By: Benjamin Crowell

Physics Literature

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Optics

By: Benjamin Crowell

Physics Literature

Excerpt: The Ray Model of Light. // 1.1 The Nature of Light 12 // 1.2 Interaction of Light with Matter 15 // 1.3 The Ray Model of Light 17 // 1.4 Geometry of Specular Reflection 20 // 1.5 The Principle of Least Time for Reflection 22 ...

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The Modern Revolution in Physics

By: Benjamin Crowell

Physics Literature

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Conservation Laws

By: Benjamin Crowell

Physics Literature

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Argument Principle

Mathematics document containing theorems and formulas.

Excerpt: Argument principle. Let C be a simple closed curve, and suppose f is analytic on C. Suppose moreover that the only singularities of f inside C are poles. If fYz 0 for all zOC, then @ = fYC is a closed curve which does not pass through the origin. If L is a complex...

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Applications to the Behavioral and Managerial Sciences

Mathematics document containing theorems and formulas.

Excerpt: Communication And Soclometric Matrices. Matrices having only the entries 0 and 1 are useful in the analysis of graphs and networks. We shall not attempt to give a complete treatment of the subject here, but merely illustrate some of its more interesting applications. A communication network consists of a set of people, A,, A,, . . . ,A,, such that between some pairs of persons there is a communication link. Such a link may be either one-way or two-way. A two-way...

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Applications

Mathematics document containing theorems and formulas.

Excerpt: This chapter presents some applications of manifold theory and tensor analysis to physics and engineering. Our selection is a of limited scope and depth, with the intention of providing an introduction to the techniques. There are many other applications of the ideas of this book as well. We list below a few selected references for further reading in the same spirit: // 1. Arnol?d [1982], Abraham and Marsden [1978], Chernoff and Marsden [1974],Weinstein [1977], ...

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Appendix B : Lawton's Proof of Theorem 9. 6

Mathematics document containing theorems and formulas.

Excerpt: In this appendix we present Lawton's proof of Theorem 9.4. The proof follows Lawton [17] closely, and uses standard results on topological entropy (from Chapters 6 and 7). Let G be a compact abelian group, with T an automorphism of G. If H G is a T{invariant closed subgroup, then denote by TH the automorphism of H obtained by restricting T to H. Definition B.1. The dual group of G, bG, is said to be nitely generated under bT if there are elements 1; n in bG such...

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Appendix a : Weil's Proof of Theorem 8. 1

Mathematics document containing theorems and formulas.

Excerpt: Let P denote the set of all rational primes. For each p 2 P, the field of p{adic numbers, Qp, is defined to be the completion of the rationals in the p{adic valuation, jrjp = p ordp(r); where ordp(r) is the highest power of p dividing r. Extend the de nition of j jp by setting j0jp = 0. Write p = 1 for the usual valuation on Q, jrj1 = jrj. Then Q1 = R. For each p 2 f1g [ P, the field Qp is a non{discrete locally compact eld, with topology given by the metric dp(...

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An Introduction to Lie Groups

Mathematics document containing theorems and formulas.

Excerpt: Rigid Body. Consider a free rigid body rotating about its center of mass, taken to be the origin. ?Free? means that there are no external forces, and ?rigid? means that the distance between any two points of the body is unchanged during the motion. Consider a point X of the body at time t = 0, and denote its position at time t by f(X, t). Rigidity of the body and the assumption of a smooth motion imply that f(X, t) = A(t)X, where A(t) is a proper rotation, that ...

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All Games Bright and Beautiful

Mathematics document containing theorems and formulas.

Excerpt: What is a combinatorial game? The usual definition is a game in which (i) there are two players moving alternately; (ii) there are no chance devices and both players have perfect information; (iii) the rules are such that the game must eventually end; and (iv) there are no draws, and the winner is determined by who moves last. In this section, two master expositors lead us through many examples of such games, and introduce the theory that has been developed to d...

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A Little about Representations

Mathematics document containing theorems and formulas.

Excerpt: There is still a great deal to uncover about the structure of simple Lie algebras but it is worthwhile to make a slight detour to discuss something about representations This will lead to some useful relations for the adjoint representation.

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A Geometrical Vector in Three Dimensional Space

Mathematics document containing theorems and formulas.

Excerpt: A geometrical vector in three dimensional space can be represented by a column vector whose entries are the x y and z components of the vector A rotation of the vector can be represented by a three by three matrix In particular a rotation by about the z axis is given by...

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Take-Away Games

By: Michael Zieve

Mathematics document containing theorems and formulas.

Excerpt: Several works, including [Berlekamp et al. 1982; Epp and Ferguson 1980; Schwenk 1970], have studied take-away games where the players alternately remove a positive number of counters from a single pile, the player removing the last counter being the winner. On his initial move, the first player may remove any number of counters, so long as he leaves at least one. On each subsequent move, a player may remove at most f(n) counters, where n is the number of counter...

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Scientific Computing with Maple Programming

By: Zhonggang Zeng

Mathematics document containing theorems and formulas.

Excerpt: Maple as a calculator Maple can perform many of mathematical with one-line commands.

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