- #Mathematica 7 fit nonlinear packages upgrade#
- #Mathematica 7 fit nonlinear packages code#
- #Mathematica 7 fit nonlinear packages mac#
Version 5, however, goes head-to-head with Matlab: of eight common speed tests for matrix calculation, Mathematica 5 won four and roughly tied on two. The original Mathematica was quite weak in this area compared with MathWorks’ Matlab (which, after all, stands for “matrix laboratory”). The larger a program’s library of matrix shortcuts is, the less brute force the program needs to use. Since matrices can be huge - commonly 1,000 by 1,000 numbers or larger - there’s a large set of special tricks for quickly calculating them. Since serious Mathematica work may eventually be presented to an audience, there is now a special authoring palette for slide shows.Ī matrix is a rectangular array of numbers many important calculations in electrical and mechanical engineering are cast as matrix problems.
There are now tools for comparing different Mathematica notebooks - useful for keeping track of evolving notebook versions. Another basic feature is the add-on package StatisticsPlot, which adds a lot of useful textbook statistical plots.Īlso in this category are Mathematica 5’s improved authoring tools. This is significant because Mathematica may be the world’s most powerful environment for image analysis. One basic feature is support for new graphics file types: SVG (Scalable Vector Graphics, a science and engineering standard), PNG (Portable Network Graphics, a Web standard), and DICOM (Digital Imaging and Communications in Medicine, for MRIs and other diagnostic images). Mathematica 5 adds a good assortment of visible features, too - some basic and some sophisticated. Although Mathematica 5 performs complex functions automatically, advanced users can override most of its automatic decisions. In the case of differential equations solved with NDSolve, you can choose the solving algorithm yourself and see intermediate results. You don’t usually see any of this - but you will see most numeric calculations running 5 to 500 times faster than in version 4.2. To solve nontrivial numeric problems (ordinary differential equations are a prime example), Mathematica recasts the problem in symbolic terms for the best match to available algorithms, picks numerical precision conditions, and monitors progress, switching methods if necessary for faster results. Much of the numeric speed increase is due to version 5’s algorithm-selection code.
#Mathematica 7 fit nonlinear packages code#
Not any more: with version 5, a few lines of Mathematica code replace pages of C. There used to be a class of problems with which you could work fastest by programming directly in C and using an optimized numerical algorithm library. Always the state of the art in symbolic math, the kernel has been retooled with numerical methods and solvers that compete with the best practices in special-purpose math packages. Now, 15 years later, you can state your problem as an equation or as a set of equations and conditions, and Mathematica generally takes over at that point and delivers an answer without your programming help. Users could draw on the language and a large library of mathematical functions to tackle science and engineering problems. The original kernel was mainly Stephen Wolfram’s symbolic-math program, adapted for numerical computation and combined with a generic C-like language. Mathematica has always consisted of two parts: the interface and the underlying computation engine, or kernel. Even so, on a G5, the program runs like a gift from a friendly alien spaceship.
#Mathematica 7 fit nonlinear packages mac#
There’s only one disappointment: Mathematica 5 is optimized for many 64-bit systems, but not for the Power Mac G5 - yet. It has many new functions, but more important is that most older functions run much faster than they did in version 4.2 (
#Mathematica 7 fit nonlinear packages upgrade#
Mathematica 5 is a major upgrade to a landmark application for engineers, scientists, and other people who work with complex math.
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