Sign up to join this community. The best answers are voted up and rise to the top. Home Questions Tags Users Unanswered. Parametric plot from two NDsolve solutions Ask Question.
Asked 7 years, 8 months ago. Active 7 years, 6 months ago. Viewed 4k times. Kim Kim 2 2 silver badges 4 4 bronze badges. Active Oldest Votes. So your conclutions are right! Szabolcs k 22 22 gold badges silver badges bronze badges. I formatted your answer a bit for readability.
You can check how I did this by clicking the edit link just below your post. You can also use the? NDSolve can use methods with an adaptive step size, and if you solve two equations as one system, then the same step sizes will be used for both. I'm not exactly sure how the step size is determined. Most likely the only "ill" effect will be that the two questions will be evaluated more than necessary. Sign up or log in Sign up using Google.
Stack Overflow for Teams is a private, secure spot for you and your coworkers to find and share information. However, if I want to plot a set of parametric equations with more than two parameters I cannot use this approach. How should one approach plotting parametric equations with more than one parameter in Julia? For instance, how can I plot the cone described by the parametric equations. This works with the plotly and pyplot backends to Plots but not gr :.
Learn more. Plotting a set of parametric equations with several parameters in Julia Ask Question. Asked 1 year, 3 months ago. Active 1 year, 3 months ago. Viewed times. Claesson K. Claesson 3 3 silver badges 10 10 bronze badges. How are you imagining the final plot to look? Borregaard Jul 7 '19 at Borregaard I have updated the post with an image.
Claesson Jul 7 '19 at Active Oldest Votes. Sign up or log in Sign up using Google. Sign up using Facebook. Sign up using Email and Password. Post as a guest Name. Email Required, but never shown.
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Parametric Curves in 2D
To set options for individual lines, use the objects returned by fplot3. Use the object to query and modify properties of a specific parameterized line.
For details, see ParameterizedFunctionLine Properties. Plot the same 3-D parametric curve three times over different intervals of the parameter. For the first curve, use a linewidth of 2. For the second, specify a dashed red line style with circle markers.
For the third, specify a cyan, dash-dot line style with asterisk markers. Plot multiple lines either by passing the inputs as a vector or by using hold on to successively plot on the same figure. If you specify LineSpec and Name-Value arguments, they apply to all lines.
To set options for individual lines, use the function handles returned by fplot3. Divide a figure into two subplots using subplot. On the first subplot, plot two parameterized lines using vector input. On the second subplot, plot the same lines using hold on. Change the range of parameter values to [ 10] and the line color to red by using the TRange and Color properties of fp respectively.
Add a title and axis labels. Display these ticks by using the XTick property. Create x-axis labels by using arrayfun to apply texlabel to S.
Display these labels by using the XTickLabel property. Repeat these steps for the y-axis. To use LaTeX in plots, see latex. Create animations by changing the displayed expression using the XFunctionYFunctionand ZFunction properties and then by using drawnow to update the plot.
To export to GIF, see imwrite. Parametric input for x-axis, specified as a symbolic expression or function.
Parametric input for y-axis, specified as a symbolic expression or function.Use PlotPoints and MaxRecursion to control adaptive sampling:.
Use PlotRange to focus in on areas of interest:. Use Exclusions to remove curves or split the resulting surface:. Use RegionFunction to restrict the surface to a region given by inequalities:. The domain may be specified by a MeshRegion :. By default, the AspectRatio is Use an Automatic setting to get the natural ratio:. Draw both and axes:. BoundaryStyle applies to holes cut by RegionFunction :. BoundaryStyle does not apply to cuts made by Exclusions :. Use ExclusionsStyle instead:.
Color by scaled coordinate:.Animating Mathematically - Exporting a GIF
Named color gradients color in the direction:. Make everything red above a contour at :.
ContourLines is superseded by ContourStyle :. Use None to only show the contour lines:. Use None to not show contour lines:. Show where ContourPlot samples a function:. Count how many times is evaluated:. Use mesh lines in the and directions:.
Use red mesh lines in the direction and thick mesh lines in the direction:. PlotLegends automatically matches the color function:. Use Placed to change the legend position:. Use BarLegend to change the legend appearance:. Automatically compute the range:.
I already tried the solution presented here Parametric differentiable interpolation of a 2D data set using parametrizeCurve but it does not create an adequate interpolation either:. I must admit, that I dont understand the method behind parametrizeCurvebut it seems to be working with the wrong dimension of my data.
I would be very happy to get a solution to my problem. Applying Kuba's y-rescaling trick works here as well, just pass the rescaling through the DistanceFunction option. Here's as close as I can come with your set of data. I found a reasonable solution with FindShortestTour. After reading the above answers, I see the the whole thing can be reduced to just three lines of code.
However, we need to give it some feedback. The problem is that points x-y scales are different about 20x. With quick fix, it is working. Sign up to join this community. The best answers are voted up and rise to the top. Home Questions Tags Users Unanswered. Parametric Interpolation of 2D data Ask Question. Asked 6 years, 5 months ago. Active 5 years, 4 months ago.
Viewed 3k times. Martin Martin 1 1 silver badge 5 5 bronze badges. Active Oldest Votes. The distance trick is nice! I wonder if we can set up a local distance using some density measurement on each axis so that the thing could be automated and put to work in almost any situation. I avoided those little artifacts at the left end of the curve by putting in more data, which I could gernate quite easily. The parametric interpolating of data using tour is exacly what I needed. Good point. Well spotted.
Standardize data also works. Sign up or log in Sign up using Google. Sign up using Facebook. Sign up using Email and Password. Post as a guest Name. Email Required, but never shown. The Overflow Blog. Podcast Ben answers his first question on Stack Overflow. The Overflow Bugs vs.Grapher provides over 80 different 2D and 3D graphing options to best display your data. Parametric Plots. How to make 3D plots.
The Cornu spiral is also known as the clothoid or Euler's spiral. Skills: Matlab and Mathematica. Rational function plotter allows you to plot rational functions. Note: on each 3D pictures in Mathematica, one can rotate it by placing the mouse on the picture and drag.
I think these all make sense, though. For the second, specify a dashed red line style with circle markers.
Mathematica Parametric Plot 3d
In my last blog post on plotting functionality in Wolfram Alpha, we looked at 2D and 3D Cartesian plotting. Wolfram Science Technology-enabling science of the computational universe.
Find more Mathematics widgets in Wolfram Alpha. In fact the PC1 loading plot very much resembles the average curve for each product. This page will make an xy plot of some mathematical expression for you.
More Plots in 2D
Plot 3d plane in r. Last Post; Jun 3, ; Replies 4 Views As result, creating a 3D picture of realistic application models e. Phase Portrait Mathematica. Grapher is a full-featured scientific graphing package, allowing the user to import data in many formats, create and combine a wide variety of 2- and 3-D plot types, and customize the plots in infinite detail.
There are many functions in R programming for creating 3D plots. Mathematica 3d plot xyz Mathematica 3d plot xyz. At least one of the ranges must have arguments evaluating to real constants; the other range may have. Let me help you get started!
As such, it was easy to wrap inside a Manipulate and you can. GCalc by Jiho Kim - free version 3. And I am just frustrated about that, since I envy the 3D graphics of Wolfram Mathematica a lot, which I exploited for about a year, before I embrace R. I cannot for the life of me figure out how to use the "Show" function to graph multiple functions of various domains and ranges on the same plot.
This idea of plotting points is identical to the elementary graphing techniqus of graphing functions and is illustrated in the following two diagrams. Spivak One interesting feature is that users can drag a point inside a box, and the corresponding point on the surface moves dynamically.
As a school project, we have to graph images using basically a very large piecewise function. As an example we can generate a sphere of radius 1 by the following code:! Parametric plots. Now plot Viviani's curve using its parametric equations and illustrate the normal green arrowtangent blue arrow and bitangent dark yellow arrow at various points red dot along the curve. Call the nexttile function to create the axes objects ax1 and ax2.
Wolfram Language Revolutionary knowledge-based programming language.Use PlotPoints and MaxRecursion to control adaptive sampling:. Use PlotRange to focus in on areas of interest:.
Use Exclusions to remove points or split the resulting curve:. The domain of the parameters may be specified by a MeshRegion :. Use Callout to add the expressions as a label:. Label the curve with PlotLabels :. Use Legended to provide a legend for a specific curve:. Use Placed to change the legend location:. Provide an interactive Tooltip for each curve or region:. By default, AspectRatio comes from PlotRange :. Set a different AspectRatio :. Specify labels for the and axes:. BoundaryStyle applies to regions cut by RegionFunction :.
BoundaryStyle does not apply to holes cut by Exclusions :. Color the curve by scaled, or values:. Color by scaled and parameter values:. ColorFunction has higher priority than PlotStyle :.
Use red for the parameter :. Each level of MaxRecursion will adaptively subdivide the initial mesh into a finer mesh:.
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Use an explicit list of values for the mesh in the parameter and no mesh in the parameter:. Use explicit value and style for the mesh:. Use a mesh evenly spaced in the, and directions:. Use a mesh evenly spaced in the,and directions:. Show 5 mesh levels in the direction red and 10 in the direction blue :.
Alternate red and blue arcs in the direction:.