quartonews.it » Math and Science » The elementary functions: An algorithmic approach

Author: | G. Albert Higgins |

Subcategory: | Mathematics |

Language: | English |

Publisher: | Prentice-Hall (1973) |

Pages: | 335 pages |

Category: | Math and Science |

Rating: | 4.3 |

Other formats: | lrf mbr docx txt |

Elementary Functions: Algorithms and ver. The book's last section deals with range reduction, . converting the problem to a more tightly bounded one, where the algorithm's behavior can be better undestood and controlled.

Elementary Functions: Algorithms and ver. It also deals with rounding and other quirky cases in floating point arithmetic. This book isn't for everyone - in fact, not many people these days need to implement "library" functions on their own. As a result, knowledge of implementing them well is increasingly scarce.

by G. Albert Higgins. Select Format: Hardcover. ISBN13: 9780132567350.

Consulting an elementary book of tables, one finds the identitysin-1 z tan-1 (z/√1 - z2. In, we introduced an algorithm for deciding whether a proposed simplification of elementary functions was correct in the presence of branch cuts.

Consulting an elementary book of tables, one finds the identitysin-1 z tan-1 (z/√1 - z2). (1)In the same vein, one finds thatsin(tan-1 w) w/√1 + w. This algorithm used multivalued function simplification followed by verification that the branches were consistent. In an algorithm was presented for zero-testing functions defined by ordinary differential equations, in terms of their power series. The purpose of the current paper is to investigate merging the two techniques.

Elementary Functions book. Goodreads helps you keep track of books you want to read. Start by marking Elementary Functions: An Algorithmic Treatment as Want to Read: Want to Read savin. ant to Read.

However, even for the class of elementary functions, it has not been resolved in a satisfactory wa. Also, not all functions could be handled by either of the methods alone

However, even for the class of elementary functions, it has not been resolved in a satisfactory way. Algorithms were presented in to solve this problem, and it was seen that both methods had their own strengths and weaknesses. Also, not all functions could be handled by either of the methods alone. The current paper continues this line of development by combining the two methods, and reporting on progress made with the various sub-algorithms involved. Categories and Subject Descriptors.

Elementary functions : algorithms and implementation, Jean-Michel Muller. The previous books on the same topic (mainly Hart et a. s book Computer Approximation and Cody and Waite’s book Software Manual for the Elementary Functions) contained many coefcients of polynomial or rational approxima-tions of the elementary functions.

Elementary functions as linear algorithms. On some error in calculus books. A numerical function is determined by its domain and its mapping relation, which is a computational algorithm allowing us calculate a value of the function corresponding to the given value of the independent variable. A function is called an elementary function if it can be represented using a linear algorithm (an algorithm which does not include loops and branching), each node of which is computing a value of one of the basic elementary functions. Note that our definition avoids the operations on functions including the composition of functions. lgorithms were . lgorithms were presented in to solve this problem, and it was seen that both methods had their own strengths and weaknesses. oceedings{Beaumont2004APA, title {A poly-algorithmic approach to simplifying elementary functions}, author {James C. Beaumont and Russell J. Bradford and James H. Davenport and Nalina Phisanbut}, booktitle {ISSAC}, year {2004} }.

This textbook presents the concepts and tools necessary to understand, build, and implement algorithms for computing elementary functions (. logarithms, exponentials, and the trigonometric functions). Both hardware- and software-oriented algorithms are included, along with issues related to accurate floating-point implementation.

Algorithm versus function computable by an algorithm: For a given function multiple algorithms may exist. procedure and the notion of function computable by algorithm, . mapping yielded by procedure Unfortunately, there may be a tradeoff between goodness (speed) and elegance (compactness)-an elegant program may take more steps t. .

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