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Factorization of Boundary Value Problems Using the Invariant Embedding Method
Factorization Method for Boundary Value Problems by Invariant Embedding presents a new theory for linear elliptic boundary value problems.The authors provide a transformation of the problem in two initial value problems that are uncoupled, enabling you to solve these successively.This method appears similar to the Gauss block factorization of the matrix, obtained in finite dimension after discretization of the problem.This proposed method is comparable to the computation of optimal feedbacks for linear quadratic control problems.
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Duel Without End : Mankind's Battle with Microbes
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Knockout CV
"John Lees is a purveyor of sound, no nonsense career advice which delivers results, whatever your age or status."Carol Lewis, Business Features Editor, The TimesIt doesn't take months to learn how to write a CV that works, but it does take a few hours.This book is designed to take you through that process quickly, taking some short cuts, encouraging your readers to say one simple word: "yes". Features: Step by step approach to building a CV from scratch Detailed advice on getting bullet points and the profile rightExample CVs, including entry level and executive CVs Demystifying of CV formats and styles, including 'hybrid', competency-based and functional CVsDrawing on over 25 years' experience of training recruiters, John Lees, author of the bestselling How To Get A Job You'll Love, is one of the UK's best known career strategists.In Knockout CV he shows you how to write CVs and cover letters that convey your strengths quickly and get you into the interview room. "A comprehensive and practical guide to building arelevant, evidence-based CV which will win the recruiter'sattention."Liz Mason, Associate Director, Alumni Career Services,London Business School, UK"You write a CV for a purpose: to get a job.Knockout CV works backwards from the desired result, analysing each feature of the CV from the perspective of impact on the decision-maker.No frills, no diversions, simply full of practical help."Shirley Anderson, HR Director, Talent and Reward, Pilkington Group Limited"This book is essential reading for anyone considering a career move or applying for another position...This is an excellent, practical guide which I believe will really make the difference to securing that interview."Christine Gaskell, Chair, Cheshire and Warrington Local Enterprise Partnership and former HR Director, Bentley Motors Ltd"John Lees leads you back to the basic document of so manyjob-hunting campaigns, and yet again opens your eyes to seethe real underlying principles.His clear and authoritative voice brings life back into what is often seen as a routine activity - CV writing - yet is so important in today's hyper-competitive job market."Matthias Feist, Head of Careers & Business Relations atRegent's University London, UK and Chair of PlaceNet: Placements in Industry Network"John has produced an honest and authentic approach to creating a winning CV which speaks to your strengths, and will make the difference to getting noticed and in front of the selection panel."Angella Clarke-Jervoise, Big 4 Partner Recruiter andInternational Career CoachPraise for John Lees' careers books:"When I read John's writing, two things happen.First, I feel as if he's standing right there, personally advising me. And second, I always come away thinking over the issue in a new way.It's a rare, but very useful, gift."Sarah Green, Associate Editor, Harvard Business Review"I know first-hand the joy that being in the right career can bring and I commend John Lees for his books and seminars which help other people do just that."Rosemary Conley CBE"John Lees is the Career Professional's professional; thedoyen of careers experts.His books and advice have helpedcountless numbers of people to enjoy better, more fulfilling careers."Dr Harry Freedman, Career and Business Strategist,Hanover Executive
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How does this factorization work?
This factorization works by breaking down a given expression into its constituent factors. The process involves finding common factors among the terms and then factoring them out. This helps simplify the expression and make it easier to work with or solve. By factoring out common terms, we can rewrite the expression in a more manageable form that can be further manipulated or analyzed.
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What is a linear factorization?
A linear factorization is the process of expressing a polynomial as a product of linear factors. This means breaking down the polynomial into simpler linear expressions that can be multiplied together to obtain the original polynomial. Linear factorization is commonly used in algebra to simplify and solve polynomial equations.
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What is the linear factorization?
The linear factorization of a polynomial is the process of expressing the polynomial as a product of linear factors. In other words, it involves factoring the polynomial into a form where each factor is a linear expression of the form (ax + b). For example, the linear factorization of the polynomial x^2 - 4 is (x - 2)(x + 2), where each factor is a linear expression. Linear factorization is useful for finding the roots of the polynomial and understanding its behavior.
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What is a prime factorization?
A prime factorization is the process of breaking down a number into its prime factors. This means finding the prime numbers that can be multiplied together to give the original number. For example, the prime factorization of 12 is 2 x 2 x 3, because 2 and 3 are prime numbers and when multiplied together, they equal 12. Prime factorization is important in mathematics because it helps in simplifying fractions, finding the greatest common divisor, and solving certain types of equations.
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How do I perform prime factorization?
To perform prime factorization, start by dividing the number by the smallest prime number possible (usually 2) and continue dividing by prime numbers until the result is 1. Write down each prime factor as you go along. For example, to factorize the number 24, you would divide by 2 to get 12, then divide 12 by 2 to get 6, and finally divide 6 by 2 to get 3. The prime factors of 24 are 2, 2, 2, and 3.
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What is the linear factorization representation?
The linear factorization representation is a way of expressing a polynomial as a product of linear factors. This representation allows us to break down a polynomial into simpler components, making it easier to analyze and understand. It also helps in finding the roots or zeros of the polynomial, as they can be directly read off from the linear factors. The linear factorization representation is a fundamental concept in algebra and is used in various mathematical applications.
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What is a function for prime factorization?
A function for prime factorization takes an input number and returns its prime factors. It works by finding the smallest prime factor of the input number and then dividing the number by that factor. This process is repeated until the number is completely factored into prime numbers. The function can be implemented using a variety of algorithms such as trial division, Pollard's rho algorithm, or the sieve of Eratosthenes.
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What is the prime factorization of 2?
The prime factorization of 2 is simply 2, because 2 is a prime number and cannot be factored into smaller prime numbers. Therefore, the prime factorization of 2 is just 2.
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