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.
757 questions
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Plotting parametric function in one piece seems impossible
f1 and f2 are in fact the same function as f3. One contains ...
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2
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1
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343
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Is there a way to define this piecewise function so it can be integrated?
I want to calculate several derivatives and integrals involving a complicated periodic piecewise function, but I'm struggling to get it to work, and someone here suggested that part of the problem is ...
- 406
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1
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Plotting 2-dimensional curves on the surface of a 2-sphere [closed]
I would like to plot 2-D curves on the surface of a sphere, say of radius R=1. I can handle all the equations on paper easily enough, converting $x,y,z\rightarrow \theta,\phi$ with sphere radius 1. ...
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How to make sure if there exists nonzero parameters $\{X,Z,W\}$ that satisfy both $eq1(X,Z)=0$ and $eq2(X,Z,W)=0$?
I have the two equations eq1[X_, Z_] ==0 and eq2[X_, Z_, W_] ==0 and I want to make sure if there is a set of nonzero real ...
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2
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Is it possible to find the parametric root of $x$ in $25 x^4 + x^2 (5 - 7 y^2) + 3 x y + 4=0 $ for which $\text{Re(x)}<0$?
I have this quartic equation 25 x^4 + x^2 (5 - 7 y^2) + 3 x y + 4 == 0 for real $y>0$. I use Reduce and get four parametric ...
- 53
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Visualizing multiple paths to infinity in the complex plane using Mathematica [closed]
Hello everyone — I’m reading about the extended complex plane and the “point at infinity,” and I find the geometric picture quite helpful. According to this text, in the complex plane $z \in \mathbb{C}...
- 1,010
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113
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Parametric Plot 3D Surface Model
I'm trying to recreate this plot. Its over the interval $
u, v \in[0,2 \pi]$
My attempt is horrific.
...
- 5,094
3
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3
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696
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Making a threaded pipe end
I am trying to make something that involves a threaded end to both pipes attached to a hollowed out ellipsoid. I am having problems with:
Making it smooth. I tried various things but it is likely due ...
- 647
3
votes
2
answers
207
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Is there a better way to define the Gradient, Divergence and Laplacian of a curvilinear coordinate system?
I am trying to write a code to compute the gradient, divergence and the Laplacian of any curvilinear geometry.
For any curvilinear coordinate system defined in (\xi,\theta), let X be the mapping ...
- 121
5
votes
2
answers
523
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Explicit function for converting HUE to RGB
How to extract function for converting HUE to RGB without manually rewriting it by using Piecewise. (preferably without using interpolation, I accept it being ...
- 36.4k
9
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2
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Numerical simulation of dynamical systems on torus: periodicity of variables
Suppose we have the following system of ODEs,
...
- 905
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4
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297
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Area bounded by Sheared Sine curve
Inspired by a high school problem: Show calculate the area bounded by the $x$-axis and a sine curve $y=\sin(x)$ which has been sheared parallel to the $x$-axis. This can be solved by noting that area ...
- 1,466
2
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2
answers
144
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Definition of periodic parametric function
The parametric plot bellow is periodic for intervals {x, 0, 1}, {y, 0, 1}. It consist of two separate functions. But the functions are identical just one is shifted....
- 36.4k
0
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0
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Issue with ParametricRegion in free cloud account
This works
pr=ParametricRegion[{Sin[x]Exp[x],Cos[x]Exp[x]},{{x,0.,3.Pi}}]; Region[pr]
and produces a nice image of a logarithmic spiral
This does not
...
- 346
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ParametricRegion doesn't recognise BezierFunction as 3D
Problem
I'm trying to make a MeshRegion from a bezier surface defined from an array of control points. Consider
...
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