All numerical algorithms for solvingĭifferential equations are based on the reduction to algebraic matrix Wide range of applications includes the numerical solution to a set of Monitor is the most common example of a matrix filled with pixels. Understanding matrices is crucial for almost all applications,Įspecially for computer modeling. Introduction to Linear Algebra with Mathematica Glossary Return to the main page for the second course APMA0340 Return to the main page for the first course APMA0330 Return to Mathematica tutorial for the second course APMA0340 Return to Mathematica tutorial for the first course APMA0330 Return to computing page for the second course APMA0340

Return to computing page for the first course APMA0330 Laplace equation in spherical coordinates.Numerical solutions of Laplace equation.Laplace equation in infinite semi-stripe.Boundary Value Problems for heat equation.

Part VI: Partial Differential Equations.Part III: Non-linear Systems of Ordinary Differential Equations.Part II: Linear Systems of Ordinary Differential Equations.Returns unevaluated since there is no information about the nature of a and b. Thus telling, for example, TensorDimensions that v1 and v2 are both R3 vectors, one will find that TensorDimensionsv2] But functions like Simplify, FullSimplify, and in our case TensorDimensions do have the Assumptions option. In particular the functions VectorQ and MatrixQ do not. Not all functions have an Assumptions option (in fact most do not). That is, the adjustable system parameter $Assumptions will be used in those functions if no alternative value of that option is set explicitly, thereby giving a means to set a list of assumptions for all such functions in a Mathematica session. For those functions the default value of that option is usually Assumptions->$Assumptions Some functions in Mathematica have as an option the option Assumptions (without the dollar sign). I was using Macsyma while SMP was being developed. Finance, Statistics & Business Analysis.Wolfram Knowledgebase Curated computable knowledge powering Wolfram|Alpha. Wolfram Universal Deployment System Instant deployment across cloud, desktop, mobile, and more. Wolfram Data Framework Semantic framework for real-world data.

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