Maple and Mathematica

The least squares method, curve fitting, linear and nonlinear regression analysis Maple: with(Statistics); Fit(f,X,Y,var,ops); ExponentialFit(X,Y,var,ops); LinearFit([f],X,Y,var,ops); PowerFit(X,Y,var,ops); LogarithmicFit(X,Y,var,ops); ...

Maple and Mathematica

In the history of mathematics there are many situations in which cal- lations were performed incorrectly for important practical applications. Let us look at some examples, the history of computing the number ? began in Egypt and Babylon about 2000 years BC, since then many mathematicians have calculated ? (e. g. , Archimedes, Ptolemy, Vi` ete, etc. ). The ?rst formula for computing decimal digits of ? was disc- ered by J. Machin (in 1706), who was the ?rst to correctly compute 100 digits of ?. Then many people used his method, e. g. , W. Shanks calculated ? with 707 digits (within 15 years), although due to mistakes only the ?rst 527 were correct. For the next examples, we can mention the history of computing the ?ne-structure constant ? (that was ?rst discovered by A. Sommerfeld), and the mathematical tables, exact - lutions, and formulas, published in many mathematical textbooks, were not veri?ed rigorously [25]. These errors could have a large e?ect on results obtained by engineers. But sometimes, the solution of such problems required such techn- ogy that was not available at that time. In modern mathematics there exist computers that can perform various mathematical operations for which humans are incapable. Therefore the computers can be used to verify the results obtained by humans, to discovery new results, to - provetheresultsthatahumancanobtainwithoutanytechnology. With respectto our example of computing?, we can mention that recently (in 2002) Y. Kanada, Y. Ushiro, H. Kuroda, and M.

More Books:

A Compleat Dictionary English-German and German-English
Language: de
Pages: 777
Authors: Johan Georg Christian Fick
Categories: English language
Type: BOOK - Published: 1823 - Publisher:

Books about A Compleat Dictionary English-German and German-English
My $50,000 Year at the Races
Language: en
Pages: 163
Authors: Andrew Beyer
Categories: Sports & Recreation
Type: BOOK - Published: 1980-04-01 - Publisher: HMH

A Harvard dropout’s memoir of playing the horses—a great read for handicappers or those who enjoyed Ben Mezrich’s Bringing Down the House. In 1977, before he was known as the creator of “The Beyer Speed Figure,” Andrew Beyer set out on a gambling odyssey, determined to prove himself as a
Linear Networks And Systems: Algorithms And Computer-aided Implementations: Problems And Solutions
Language: en
Pages: 476
Authors: Chen Wai-kai
Categories: Technology & Engineering
Type: BOOK - Published: 1994-02-16 - Publisher: World Scientific

The solutions to problems in the two-volume text Linear Networks and Systems: Algorithms and Computer-Aided Implementations are presented in this manual. It contains solutions to every problem in the text except a few proofs of identities and the verification of solutions. The solutions to the problems for the advanced topics
Selforganizology
Language: en
Pages: 300
Authors: WenJun Zhang
Categories: Mathematics
Type: BOOK - Published: 2015-11-27 - Publisher: World Scientific

This invaluable book is the first of its kind on "selforganizology", the science of self-organization. It covers a wide range of topics, such as the theory, principle and methodology of selforganizology, agent-based modelling, intelligence basis, ant colony optimization, fish/particle swarm optimization, cellular automata, spatial diffusion models, evolutionary algorithms, self-adaptation and
Nonlinear Kinetic Theory and Mathematical Aspects of Hyperbolic Systems
Language: en
Pages: 284
Authors: Vinicio C Boffi, Franco Bampi, Giuseppe Toscani
Categories: Mathematics
Type: BOOK - Published: 1992-10-28 - Publisher: World Scientific

Contents: Mathematical Biology and Kinetic Theory Evolution of the Dominance in a Population of Interacting Organisms (N Bellomo & M Lachowicz)Formation of Maxwellian Tails (A V Bobylev)On Long Time Asymptotics of the Vlasov-Poisson-Boltzmann System (J Dolbeault)The Classical Limit of a Self-Consistent Quantum-Vlasov Equation in 3-D (P A Markowich & N