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Setting Up Functions with Optional ...   (Mathematica Tutorial)
When you define a complicated function, you will often want to let some of the arguments of the function be "optional". If you do not give those arguments explicitly, you ...
DifferentialEquationTrek   (Equation Trekker Package Symbol)
DifferentialEquationTrek is a setting for the option TrekGenerator that specifies that treks are generated from the phase space of the numerical solution of a differential ...
Delay Differential Equations   (Mathematica Tutorial)
A delay differential equation is a differential equation where the time derivatives at the current time depend on the solution and possibly its derivatives at previous times: ...
Calculus   (Mathematica Guide)
In calculus even more than other areas, Mathematica packs centuries of mathematical development into a small number of exceptionally powerful functions. Continually enhanced ...
Equation Solving   (Mathematica Guide)
Built into Mathematica is the world's largest collection of both numerical and symbolic equation solving capabilities—with many original algorithms, all automatically ...
Numerical Evaluation & Precision   (Mathematica Guide)
In two decades of intense algorithmic development, Mathematica has established a new level of numerical computation. Particularly notable are its many original highly ...
Do Basic Calculations Do Constrained Nonlinear Optimization Control the Precision and Accuracy of Numerical Results
StepMonitor   (Built-in Mathematica Symbol)
StepMonitor is an option for iterative numerical computation functions that gives an expression to evaluate whenever a step is taken by the numerical method used.
InterpolatingFunction   (Built-in Mathematica Symbol)
InterpolatingFunction[domain, table] represents an approximate function whose values are found by interpolation.
InterpolationOrder   (Built-in Mathematica Symbol)
InterpolationOrder is an option for Interpolation, as well as ListLinePlot, ListPlot3D, ListContourPlot, and related functions, that specifies what order of interpolation to ...
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