New answers tagged parametric-functions
1
vote
Accepted
Obtaining different answers when using NDSolve vs ParametricNDSolveValue
Solutions computed with NDSolve and ParametricNDSolve are the same as it follows from the test
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- 37.6k
5
votes
Accepted
ListInterpolation and extrapolation: order has been reduced,
ListInterpolation does not expect a list of $\{x_i, y_i\}$ values. The way you are using it, Mathematica interprets it as a 2D array, and in one dimension you have ...
- 33.3k
4
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0
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0
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Solve a parametric equation in 2 variables
Regarding only real variables and parameters. Due to Cos multiple solutions represented by C1,C2
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- 17k
6
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2D cross-section of ParametricPlot3D
Also using MeshFunctions.
Using MeshShading -> {Automatic, None} or ...
- 49.5k
7
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2D cross-section of ParametricPlot3D
We may set the z component to a given value and then solve for e.g.u. Then we have u[v]. This then defines a line. The problem here is, that the solution is multivalued. We therefore create as many ...
- 35.5k
8
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2D cross-section of ParametricPlot3D
Clear["Global`*"]
{fx, fy, fz} = {
(29/25)^v Cos[v] (1 + Cos[u]),
-(29/25)^v Sin[v] (1 + Cos[u]),
-2 (29/25)^v (1 + Sin[u])};
The values of <...
- 135k
8
votes
2D cross-section of ParametricPlot3D
With z constant, the third term in your parametrized vector is equal to said constant and defines a relationship between the parameters u and v.
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- 2,523
11
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2D cross-section of ParametricPlot3D
We can use the MeshFunctions options and extract the slice data accordingly.
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- 34.1k
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