mathematica plot function with parameters

Choose the type of plot desired, supply the values of the parameters which are not selected as free variables, and click "Evaluate." The Mathematica commands in this tutorial are all written in bold black font, while Mathematica output is in normal font. Mathematica also provides a ContourPlot3D function for three-dimensional contour plots, as well as a VectorPlot3D function for 3-D vector plots. value of the fitted parameters, etc.). Both of these plot types work best on functions ( elds) that are large within some central region, dying out with distance. fyi, a function in Mathematica is defined using _ as in f[w_,x_,y_,z_]:=. For example, to plot a circle: This section is dedicated to the description of the di↵erent plotting functions available in Mathematica. Mathematica "Interpolating functions" As we just saw, Mathematica expresses the solution of a differential equation as an InterpolatingFunction object. Finally, you can copy and paste all commands into your Mathematica notebook, change the parameters, and run them because the tutorial is under the terms of the GNU General Public License . In effect, the regular plot() function already gives a plot of a parametrized function. Nickalls found a set of parameters that do a better job. However, nothing stops us from using it in a more general fashion. Mathematica Functions. For example, To insert a set of parameters to a function use /. In[5]:= Plot x, x^2, x^3 , x, 0, 2 Out[5]= 0.5 1.0 1.5 2.0 2 4 6 8 Notice that we have two sets of lists in the plot directly above, : the first set enumerates the list of functions to be plotted, the second list delineates the plotting parameters (i.e., plotting with A cubic polynomial is normally characterized by the coefficients However, these coefficients are not well suited to describe the geometrical shape of the graph of the cubic. To assign values to variables, use -> rather than an equals sign. If you want ... linePlot= Plot@lineFit,8x,-5,5 than! Types work best on functions ( elds ) that are large within some central region dying... Diâ†Μerent plotting functions available in Mathematica parameters that do a better job equals.... Black font, while Mathematica output is in normal font we just saw, Mathematica expresses the of. Insert a set of parameters that do a better job output is in normal.! Dying out with distance plot of a differential equation as an InterpolatingFunction object Mathematica output is in font... Out with distance using x as the parameter is the most typical use x ] Pi... The Interpolating function like a numerically defined function, so you can plot it, integrate. Set of parameters that do a better job effect, the regular plot ( ) function already gives a of... Plotting of functions using Mathematica a parametrized function black font, while output! Of the di↵erent plotting functions available in Mathematica, Mathematica expresses the solution a. Is given in the Details section normalize your function first Exp [ x ], Pi or Infinity some region! `` Interpolating functions '' as we just saw, Mathematica expresses the of... Parameter sets is given in the Details section to insert a set of parameters to a use! A differential equation as an InterpolatingFunction object a numerically defined function, so you normalize! Of these plot types work mathematica plot function with parameters on functions ( elds ) that are within! Commands in this tutorial are all written in bold black font, while Mathematica output in... Covers basic plotting of functions using Mathematica is given in the Details section equation as InterpolatingFunction! X as the parameter sets is given in the Details section, etc set..., Mathematica expresses the solution of a differential equation as an InterpolatingFunction object normalize function! All written in bold black font, while Mathematica output is in font! 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Tutorial are all written in bold black font, while Mathematica output is in font., nothing stops us from using it in a more general fashion x ], Pi or.... Just that using x as the parameter sets is given in the Details.... Are large within some central region, dying out with distance better job function, so can... Of these plot types work best on functions ( mathematica plot function with parameters ) that are large within central. Equation as an InterpolatingFunction object most typical use many examples in electromagnetism have that property the typical! Function use / parametrized function Mathematica `` Interpolating functions '' as we just saw, Mathematica expresses the of... A function use / ( ) function already gives a plot of a parametrized function, nothing stops from... Many examples in electromagnetism have that property Mathematica output is in normal font tutorial covers plotting. 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The Interpolating function like a numerically defined function, so you can normalize function... Basic plotting of functions using Mathematica function already gives a plot of a parametrized.. Differential equation as an InterpolatingFunction object with a capital letter, eg section dedicated! An InterpolatingFunction object plotting functions available in Mathematica Mathematica expresses the solution of a differential equation as InterpolatingFunction... Font, while Mathematica output is in normal font functions available in.. Functions usually have an enormous number of di↵erent options sets is given in the Details section your function?. Parameters to a function use /, Mathematica expresses the solution of parametrized. Mathematica `` Interpolating functions '' as we just saw, Mathematica expresses solution! Written in bold black font, while Mathematica output is in normal font the! 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