8/10/2023 0 Comments Mathematica symbolic solver![]() Even though the end result is a piece of JavaScript, Mathematica gives me a way to prototype the whole thing in an environment that's "batteries included" and well-polished. Solving with DSolve The Mathematica function DSolve finds symbolic solutions to differential equations. As an example that recently happened to me, while doing front end work I needed to construct certain geometric figures as an SVG polygon I used Mathematica's built in graphics primitives combined with its plotting capabilities to find the polygon in no time. ![]() I'd say if you are someone who's even remotely mathematically minded, learning to use Mathematica is an extremely useful experience. The order of a PDE is the order of the highest partial derivative in the equation, for example: 2. In terms of ease of use, Mathematica also excels here both data and code share a uniform notation that is very similar to lisp, and functional programming ideas carry over very seamlessly. Algebraic Calculations Symbolic Computation One of the important features of the Wolfram System is that it can do symbolic, as well as numerical calculations. ![]() There are whole areas of mathematics, pure and applied, that can be done in Mathematica but not in Octave. But Mathematica offers symbolic computing as well, and you can very easily go from "solving this equation with machine-precision numbers" to "solve this equation with arbitrary precision algebraic numbers" to "solving this equation with an unknown parameter with conditions" in a seamless way. Neural networks have a reputation for being better at solving statistical or approximate problems than at performing calculations or working with symbolic data. In terms of features, Octave inherited Matlab's matrix-centric mindset by having the \ operator solve linear systems whereas in Mathematica it's slightly longer (LinearSolve or just Inverse.b for non-numeric ones). Mathematica does so much more than Octave that it's not even remotely comparable.
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