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.

Filter by
Sorted by
Tagged with
1
vote
1answer
40 views

How to use output of NSolve for further calculation and than plot?

I am trying to plot the output using these linear equations but finding some difficulty. Here I am using the output of these linear equations and after that using them in another formula and after ...
0
votes
1answer
36 views

Assign variable to solve [duplicate]

I would like to assign my result from equation. I tried /. and := but it gives me empty variable. How can i fix it?
0
votes
0answers
36 views

Having trouble drawing a llama using a Fourier transform in Mathematica. Works fine in p5.js, though

I am trying to draw llamas with the discrete Fourier transform on sample complex points of an SVG image of a llama. In my Javascript code (using the p5js. library) I sample points from the SVG and ...
2
votes
3answers
127 views

Solve / brute-force for parameters that drive a function to zero at specified points

Edit: Made question a lot easier to read. Simple example. - Consider $p(x,y,z,t) = e^t(ax^2 + by^2 + cz^2)$ and I seek the values of $a,b,c$ which make $p\approx0$ at the point $(x=r\cos\theta,y=r\...
0
votes
1answer
41 views

Finding an instance of a parametric equation that intersects given points

So I have this equation for a circle centered at the origin that has some orientation in 3D space. ...
0
votes
0answers
20 views

Find the curvature circle tangent to a space curve [duplicate]

I'm trying to find the circle with curvature radius tangent to a space curve, like $\vec{s}(t) = [\cos{t}, \sin{t}, \frac{t}{5}]$. I notice that the circle lives on the plane the velocity and ...
6
votes
1answer
168 views

Solve can't solve my trigonometric equation—why?

I have the following equation for epsilon $2 |\alpha_{n,ch}|=\epsilon+\cos^{-1}(\tan(\frac{\pi}{4}-\frac{\epsilon}{2}))$, where $\alpha_{n,ch}$ is a negative constant (e.g. -0.769) I tried to solve ...
0
votes
2answers
44 views

Making the solutions of a ParametricNDSolveValue show up as different colours?

I am having a bit of trouble when it comes to plotting the solution of a system of non-linear ODE's. I write ...
1
vote
1answer
38 views

Solving 3D system of equations with two algebraic eqs. and one parametric? [closed]

I'm trying to find a way to compute all solutions to system of three equations. Two of them are usuall algebraic equations, and third one is a parametric equation. Is there any way, to for example ...
2
votes
1answer
58 views

ParametricPlot Incomplete

I have a problem to reproduce a graph. Follows the commands used: ...
1
vote
1answer
72 views

Plot Arc Length Parametrization

I want to plot the parametrization of the curve with respect to arc length. It is all known that we have to find the inverse of the arc length of the original function i.e. $F(t)$, and ...
1
vote
1answer
100 views

How to plot root of the complex equations

I want to plot the roots of the complex equation of a1. I have tried the following code but this is not giving me any result. I need bistable plot. How it is possible.? ...
0
votes
1answer
39 views

How to plot parametric time dependent plot with different parameters taking average of time?

I am trying to plot the solution given in the code with respect to "delc". Now the problem is that it can be plot for a particular value of "t" like t=10,20,50,60,.. upto 100 but what i need is mean ...
1
vote
0answers
61 views

How to iterate a function

I have written a custom function called f1[r_] and I have tried iterating this function using Table. I work nicely for the first ...
2
votes
1answer
185 views

Need help solving ODE with ParametricNDSolveValue solver

I am trying to apply @bbgodfrey method for finding the right initial guess for the following problem but I get an error message and I don't understand where it comes from. I would also like to ...
2
votes
1answer
40 views

Parametric Plot of Simultaneous Equations

I have tried to solve a pair of simultaneous equations in Mathematica. I was able to solve these equations but I was unable to plot them in the way I wanted. My equations gave me solutions for two ...
0
votes
1answer
108 views

How to plot solution of first order time dependent differential equations with other parameter not with time

I am trying to plot the solution given in the code with respect to "delc", not w.r.t time "t". I don't know what to do for getting the plot between solution and value "delc" which vary 0 to 2. The ...
1
vote
2answers
73 views

How do I make 3D plot for T, G and P as a function of $r$?

I want to plot a 3D graph ('G' v/s 'P' v/s 'T') for folllowing value as 'T' in terms of r ...
2
votes
1answer
86 views

Plotting a two parameter function evaluated at a specific point [closed]

I am trying to solve the following problem: given the differential equation $$\frac{d^2y}{dx^2}+\bigg(a+b\frac{2}{\pi}\tan^{-1}x\bigg)y=0$$ subjected to two different initial condition we get two ...
2
votes
1answer
57 views

Maximizing Output from ParametricNDSolve [closed]

Given a system of differential equations that are dependent on two parameters, such as the system below (the equation below is not that important, I am interested in a general procedure given a ...
2
votes
1answer
36 views

How to create parametric region including a parametric curve and a non-parametric line?

I am trying to integrate a figure composed of a piecewise parametric curve with both ends bound by a straight, vertical line segment. I have displayed the curves on top of each other using the ...
1
vote
2answers
105 views

Why does ParametricPlot does not reach the values I expect?

I have these expressions: ...
0
votes
0answers
30 views

Inconsistency in complex line integral using 2 parameters vs 1 parameter

I am trying to numerically verify that, over a closed circular path, the line integral of a physics-inspired complex quantity $z_Q = P \cdot \frac{\partial}{\partial Q} S$ is the same regardless of ...
0
votes
1answer
31 views

ParametricPlot on Piecewise function not working with consecutive t values [closed]

I am trying to graph a piecewise function composed of a series of parametric cubic functions. I initially created a ParametricPlot for the first four pieces of the equation and it was working fine, as ...
4
votes
1answer
68 views

RevolutionPlot3D: get graphics primitives

From this answer, I was able to figure out how to get the graphics primitive from a Plot3D. However, this does not seem to work for a ...
0
votes
0answers
43 views

How to use Parallel computing on Manipulate option on ParametricNDSolveValue

My aim is to use Manipulate option on the ParametricNDSolveValue. When ever i run my code "Manipulate" option runs very slow and some time shows Aborted when check for that value of parameter it works ...
6
votes
2answers
129 views

Parametric plot showing an unwanted boundary at the maximum parameter value

I'm trying to fill a parametric plot, but I get this ugly seam for some values of $a$. Observe the following code: ...
3
votes
1answer
58 views

How to use Tube (and regionplot) for this parametric plot?

ParametricPlot3D[{(1 + Cos[Theta]) Cos[Phi], (1 + Cos[Theta]) Sin[ Phi], Sin[Theta]}, {Theta, 0, 2 Pi}, {Phi, 0, 2 Pi}] How do I use ...
0
votes
0answers
52 views

Speed up and Smooth Plot3D of NDSolve Evaluated Results

may I ask is there any space for my code to be improved in terms of the speed and resolution of the plotted results. Currently, it takes more than one hour to plot the 3D graph and as shown in the ...
0
votes
0answers
22 views

Export Graphics3D Object as .fbx file with animation

Suppose I have a Graphics3D object named objanim that is a function of some variable t. I can export this animation to a ...
2
votes
1answer
55 views

How to specify in Parametric Plot that variables are on circle?

I have 2 functions a=2; zx[x_, y_] := x + (a^2*x)/(x^2 + y^2); zy[x_, y_] := y - (a^2*y)/(x^2 + y^2); I want to draw a parametric plot of (zx,zy). Where x and y ...
1
vote
1answer
89 views

Plot of Parametric Equation that describes a Lead Screw

I have a Lead Screw, it looks like this: There are two parameters at the moment of buying one: Pitch and Lead The Lead Screw that I have has a Lead of 2mm and a Pitch of 2mm, but I find a little bit ...
0
votes
1answer
50 views

How do I define a function with a variable and a parameter? [closed]

Let $\alpha \in (0,1)$ be a parameter. I would like to define a function $$ f_{\alpha}(n) := \binom{n}{\alpha n},$$ in order to later get a series expansion ...
0
votes
1answer
60 views

How do I plot a parametric function? [closed]

I want to plot this parametric function: $\qquad x=2\,\cos(\sqrt{12}t- π/3),\,y=4/\sqrt3 \sin(\sqrt{12}t- π/3)$ where $t$ goes from 0 to 8 I tried to make a plot, but I didn't know how because it's ...
3
votes
1answer
85 views

Can we convert any parametric equation to implicit form?

The Archimedes spiral equation in parametric form: fx[t_] := Cos[t]*t; fy[t_] := Sin[t]*t; How can it be converted to implicit form? Is there a general method ...
0
votes
1answer
63 views

Allow Mathematica to solve the differential equations with larger than 16 digits parameters

Consider the system of differential equations ...
4
votes
3answers
152 views

How to plot a super ellipse [closed]

I am trying to plot a super ellipse. It's like a regular ellipse but there are added terms so you can define how box like the ellipse will be and on the other extreme how concave the shape will be. I ...
7
votes
2answers
278 views

How to draw a 3D point moving along a helical path?

I have an animation for a helix being drawn in 3D but I really want to have a point on there that draws the helix. I've seen similar problems on here for 2D and I tried adapting the suggestions but I ...
0
votes
1answer
170 views

Need help on working with parametric function

Here is an ODE solved by ParametricNDSolveValue solver.I got the solution. Now, I need to solve these two equations: p1 = 10 h - l; p2 = 10 h1; where ...
3
votes
3answers
155 views

How to fit spline through points in $ \mathbb{R}^3$?

I have coordinates of points that represent a curve (for example, helix or centerline of moebius strip) in $ \mathbb{R^3}$. I want to fit a Bspline through these points. How to do this in Mathematica? ...
8
votes
2answers
603 views

return {} when the function is given {}

I have a function taking an array as argument and giving an output. However, sometimes my argument is {} (the empty array), then how can I get an output {} when my argument is {}? Actually, I want the ...
0
votes
1answer
44 views

ParametricNDSolveValue vs NDSolveValue

My question is simple. If I define this system of differential equation with NDSolveValue I obtain a pretty result ...
1
vote
0answers
74 views

Is function polymorphism possible in Mathematica [duplicate]

Is there a way to have polymorphic function definitions in Mathematica? I looked around online and didn't anything discussing it.
7
votes
1answer
384 views

Finding a parametric curve fitting a two-dimensional dataset

I have a 2-dimensional data set where I want to find the function that fits best the points. My issue is that I am looking for a function of the for $f(x,y)=c$ with $c$ a constant. I could not find in ...
1
vote
0answers
48 views

Performance Optimizing ParametricFunction

Setting up the system: ...
0
votes
0answers
43 views

How to convert a symbolic recursive formula to a non-recursive one

I am new to Mathematica. I want to convert a recursive formula to a non-recursive one using symbolic math. Specifically, I have a recursive formula similar to this: $a_n = f_a(c_{n-1}, x_{n-1})$ $...
0
votes
0answers
27 views

FindMaximum + NMaximize + Arc of the Cycloid?

I am graphing the parametric equations for the arcs of the cycloid (common, curtate, and prolate). This equation works well: ...
0
votes
0answers
64 views

How to find the parametric equations of the letters to be able to plot them on Mathematica?

I am a French high school student, I discovered Wolfram Mathematica a year ago and I wanted to know how to draw the letters of the alphabet on Wolfram Mathematica. I saw that it was necessary to use ...

1
2 3 4 5
10