Search Results: 'Polynomials'

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67 results for "Polynomials"
Generalization Of Fibonacci Polynomials By Dr. Omprakash Sikhwal
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Fibonacci sequence is one of the most rapidly growing area of mathematics which has a wide variety of applications in science and mathematics. The manuscript of proposed book is centered on... More > generalization of Fibonacci pol-ynomials. The book will consists of three chapters. Each chapter will be di-vided into several sections. In Mathematics, the Polynomials are an important class of simple and smooth functions. Here, simple means they are constructed using only multiplication and addition and smooth means they are infinitely differentiable, i.e., we can say that they have derivatives of all finite orders. Because of their simple structure, the polynomials are very easy to evaluate, and are used extensively in numerical analysis for polynomial interpolation or to numerically integrate more complex functions. In linear algebra, characteristic polynomial of a square matrix encodes several important properties of the matrix.< Less
Factoring Polynomials Practice By Aaron Woehler
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Factoring polynomials of the form x^2 + ax + b = (x + c)(x + d). This printable PDF file contains 3 pages/worksheets containing 16 problems each. The answer key is on the following page.
A fact on degree n polynomials By Nganku Junior
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Herein lies a beautiful fact.Namely the number of ways in which a polynomial of degree n can be written.And also an analysis of the simplicity with which a polynomial of degree n that has already... More > being factorized into its various factors can be expanded without writing down any procedures, but simply by doing some mental arithmetic.< Less
Polynomial Time Calculi By Stefan Schimanski
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This thesis is about type systems which guarantee polynomial time complexity of typed programs. A type system is a tool to give a computer program an additional structure which makes sure that it... More > satisfies certain properties. In this work type systems are introduced and mathematically analysed, which type only those algorithms which terminate after polynomially many execution steps in the size of the input. Polynomial time is an important complexity class for practical application because polynomial algorithms grow reasonable fast to be feasibly computable also for bigger inputs.< Less
Polynomial Time Calculi By Stefan Schimanski
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This thesis is about type systems which guarantee polynomial time complexity of typed programs. A type system is a tool to give a computer program an additional structure which makes sure that it... More > satisfies certain properties. In this work type systems are introduced and mathematically analysed, which type only those algorithms which terminate after polynomially many execution steps in the size of the input. Polynomial time is an important complexity class for practical application because polynomial algorithms grow reasonable fast to be feasibly computable also for bigger inputs.< Less
Special Functions and Orthogonal Polynomials By Refaat El Attar
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(308 Pages). This book is written to provide an easy to follow study on the subject of Special Functions and Orthogonal Polynomials. It is written in such a way that it can be used as a self study... More > text. Basic knowledge of calculus and differential equations is needed. The book is intended to help students in engineering, physics and applied sciences understand various aspects of Special Functions and Orthogonal Polynomials that very often occur in engineering, physics, mathematics and applied sciences. The book is organized in chapters that are in a sense self contained. Chapter 1 deals with series solutions of Differential Equations. Gamma and Beta functions are studied in Chapter 2 together with other functions that are defined by integrals. Legendre Polynomials and Functions are studied in Chapter 3. Chapters 4 and 5 deal with Hermite, Laguerre and other Orthogonal Polynomials. A detailed treatise of Bessel Function in given in Chapter 6.< Less
GOLDen Mathematics: Algebra – Polynomials By Sally J. Keely
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Chapter 6 only from GOLDen Mathematics: Elementary & Intermediate Algebra. See that book's description for more information. Topics covered: exponents, polynomial operations, and factoring... More > polynomials. (3 sections, 31 pages)< Less
Special Functions and Orthogonal Polynomials By Refaat El Attar
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This book is written to provide an easy to follow study on the subject of Special Functions and Orthogonal Polynomials. The material presented here can be covered in eight to ten 2-hour classroom... More > lectures; however, it is also written in a way that it can be used as a self study text. Basic knowledge of calculus and differential equations is needed. The book is intended to help students in engineering, physics and applied sciences understand various aspects of Special Functions and Orthogonal Polynomials that very often occur in engineering, physics, mathematics and applied sciences.< Less
Some facts on the degree-n Polynomial By Nganku Junior
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Herein lies a method of expanding a product of polynomials into the original linear form of the said polynomial and also a proof of the number of ways in which a polynomial of known degree can be... More > written as a function of the degree value.< Less
GOLDen Mathematics: College Algebra – Polynomial and Rational Functions By Sally J. Keely
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Chapter 3 only from GOLDen Mathematics: College Algebra. See that book’s description for more information. Topics covered: polynomial functions and graphs, rational functions and graphs, and... More > partial fractions. (3 sections + appendix, 59 pages)< Less