# Questions tagged [parametric-functions]

Questions about explicit functions expressed in terms of independent variables, i.e. parameters. Including approaches for rewriting functions using different parameterizations.

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### Why doesn't ParametricNDSolve execute the action of WhenEvent, except the first occurrence?

I'm trying to create a ParametricFunction object using ParametricNDSolve targeting a system of equations that involves WhenEvent and DiscreteVariables. For some reason I fail to discover, the ...
1 vote
56 views

### Obtaining different answers when using NDSolve vs ParametricNDSolveValue

I am obtaining two different answers for a curve when solving the same exact system of differential equations when using NDSolve vs when using ParametricNDSolveValue. Here it is when using NDSolve: <...
• 67
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### ListInterpolation and extrapolation: order has been reduced, [closed]

I have a following ListPlot and ListInterpolation, ...
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632 views

### 2D cross-section of ParametricPlot3D

Now I'm trying to get the two-dimensional cross-section from ParametricPlot3D, the details of this question are as follows As an example, here is a parametric equation: x=x(u,v) y=y(u,v) z=z(u,...
• 81
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### How to write expression of the motion functions in Coulomb field so that it can be used as a basis in the matrix method for finding eigenvalues?

I would like to find the energy eigenvalues of the corresponding Hamiltonian (H = -1/2Laplacian -b/r * Exp[-a*r] , a, b - numbers) in the matrix way. For this, it is necessary to have a complete set ...
• 615
49 views

### Failing to define a function? [duplicate]

I am trying to define a function and it apparently is not working. Here is my small working example: ...
57 views

### How do to create 3D plot for the argument from two another arguments for maximum of the function?

How do to create 3D plot of ${t_{opt}} = {f_2}\left( {x,y} \right)$, where ${t_{opt}}$ is corresponding to maximum value of ${f_1}\left( {x,y,t} \right)$ at the limited ranges of $x,y,t$? If $t$ ...
78 views

### Constructing a function that returns two distinct values by Mathematica

I'm trying to enter a function in Mathematica that can take two inputs, a, and b, and return two outcomes based on those two numbers. I will assume the name of this function as Resultsf[a _,b _] the ...
30 views

### FindRoot over parametric interpolating function

Consider the already well answered topic : Get x and z coordinate from an image and make a parametric surface of revolution. ...
111 views

### Remove a parametrically defined curve from parametrically defined surface

I want to make a sphere with a pattern removed from it so that I can 3D print it and make a stereograhic projection art display. The equation of the curve is a lengthy Fourier series I won't include, ...
1 vote
91 views

### A peculiar behavior of ParametricFunction

I am trying to use ParametricNDSolve to find a desired value for a parameter in an ODE, and the output seems to misbehave. First, consider the following example ...
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