All applicable mathematical functions support arbitrary-precision evaluation for complex values of all parameters, and symbolic operations automatically treat complex variables with full generality. Wolfram Knowledgebase Curated computable knowledge powering Wolfram|Alpha. The Wolfram Language has fundamental support for both explicit complex numbers and symbolic complex variables.
Wolfram Universal Deployment System Instant deployment across cloud, desktop, mobile, and more. You are welcome to use these tutorials in your teaching, but must give credit to the original authors (see copyright notice in the Mathematica notebooks) and follow the rules of the GPL documentation license.Wolfram Data Framework Semantic framework for real-world data. Otherwise, you may view (but not execute) these tutorials by using the Wolfram Mathematica Player. Mathematica is a commercial program developed by Wolfram Research, but many universities and research institutes have Mathematica site licenses check with your computer department to see whether you can use a copy. These tutorials require Mathematica 5.0 or higher to run. I have elementary questions about the construction of phase portraits and limit cycles using Mathematica. These tutorials were designed to be used in sequence, but experienced Mathematica users may skip the first tutorial. These tutorials are designed to rapidly familliarize students with Mathematica, dynamical systems theory, and building ordinary differential equation models of cytoplasmic processes and gene networks. These tutorials were developed and used in teaching the research apprenticeship courses taught by the Center for Cell Dynamics. You can get 3D Phase Portraits by plotting the gradients against the co-ordinates using the ' meshgrid ', and ' quiver3 ' functions.
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