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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0
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27 views

why this function can not work and how to solve it? [duplicate]

I can't get this to work, It just have the same problem as {5,6,7,8}[1]=1.How to solve this question? ...
0
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0answers
33 views

Parametric region instead of 3D plot when using parametric plot [on hold]

I want to draw a parametric region, that is, a 2d-graph using 2 parameters. However, each time I use ParametricPlot with 2 parameters, Mathematica interprets it as 3D plot. Not even the examples ...
1
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0answers
42 views

Roughness on 3D extension of a 2D border

I am working on a project where we are investigating the effect different shaped drum borders have on the sound the drum makes. It is relatively easy to do the mathematical calculations with different ...
2
votes
3answers
73 views

Scaling issue with Graphics3D and Parametricplot

There is likely a very simple solution, but I have been unable to find it. I am using Mathematica 10.4 and wish to combine a parametric plot with a 3d vector. Suppose I have a 3D vector drawn by <...
1
vote
1answer
55 views

Changing cross section of 3D plot of a 2D parametrization

I am working on a project where we are investigating the effect different shaped drum borders have on the sound the drum makes. It is relatively easy to do the mathematical calculations with different ...
1
vote
0answers
37 views

Parametric plot refuses to assign unique plot styles [duplicate]

I want to plot the motion on n bodies. To do this I have set up three variables that return a list of variables to be evaluated by an ...
0
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0answers
37 views

how to find the implicit Cartesian equation from calabi yau threefold?

how to find the implicit Cartesian equation from this parametric form? ...
0
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2answers
76 views

Finding and plotting a parametric solution to a complicated equation (transcendental, log-polynomial)

I am trying (desperately) to find a way to solve a transcendental equation whose solution $x$ depends on non-numerical parameters $a$ and $b$. And then to produce a ...
0
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0answers
30 views

Priority on Fitparameters

I try to fit a function using the FindFit expression. My problem is that ZL has to be ...
1
vote
2answers
149 views

Distance between rectangle and parametric curve

Given a 2D parametric curve $(x(s), y(s))$ and a rectangle where each of the four vertices is parameterized $(x_i(t), y_i(t))$, $i \in \{1,2,3,4\}$, how can Mathematica compute the distance function $...
7
votes
3answers
1k views

My 3D plot of a Klein bottle doesn't look right

I have found the following parametrisation for a Klein bottle: ...
7
votes
1answer
80 views

Issuing with ParametricNDSolveValue

I am having a problem with ParametricNDSolveValue[] . let me start with a simple example. Considered following example with constant parameter $a$. ...
1
vote
0answers
60 views

Numerically parameterize portion of $F[x,y]==0$ [duplicate]

I have a relatively complicated function of two variables F[x,y] whose zero locus contains a number of intersecting paths in the $x,y$-plane. A problem I've been ...
0
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1answer
41 views

Issues with Functions Defined as Eigenvalues [closed]

I have to calculate eigenvalues of 4 different matrices. The code I'm using is below, but essentially three out of the four are working with no problem, and one (the eigenvalues I've defined as y) ...
0
votes
2answers
63 views

Combination of two ParametricPlot in one plot?

I have two ParametricPlot in the following form: ParametricPlot[{1 + (3*t^2)/2 - t^4/24, 4*t - t^3/3}, {t, 0, 1}] and ...
0
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0answers
29 views

data fit using second order PDE

I'm trying to find the parameter for second order PDE using data. i don't know what is the error of that, ...
0
votes
2answers
59 views

DSolve non linear DE

probably my problem i´m gonna ask seems ridiculous and quite basic. I want to solve an equation with the following code, where a,b,c are parameters. But surprisingly they don´t appear in the solution. ...
0
votes
1answer
119 views

Plotting Limit Cycle

I have Lotka Volterra Equations where the prey equation is modified. The Equations are x'[t]=a*x[t]*(1-x[t]/k)-b*x[t]*y[t] y'[t]=-c*y[t]+d*x[t]*y[t] To plot the ...
0
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0answers
51 views

Exporting model as STL file yields unexpected results

I have generated Costa's minimal surface using ParametricPlot3D but when I export it as an stl file (ultimately for 3D printing) it is just a few long thin strips. ...
1
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2answers
62 views

fail to export the 3d figures in eps form correctly in the 10.4.1.0 version

I'm experiencing some strange problem, which is, when I try to export a figure to the eps form, either by right-click save as, or by the export command, the obtained .eps file seems in fact not to be ...
1
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1answer
83 views

How to fill the heart curve with solid red color?

The parametric equation of the heart curve is from this link $$\left\{\quad \begin{array}{rcl} x&=&\cos {t} \cdot\sin {t} \cdot\ln \left| t\right| \\[10pt] y&=&\left| t\right| ^{0....
1
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0answers
32 views
1
vote
2answers
63 views

Logarithmic scale in an ParametricPlot obtained from ODE boundary conditions

How do I plot an ParametricPlot with the x-axis using an logarithmic scale? Since I need to use an ParametricPlot, I can not use the LogLinPlot[] and I also was not able to find any viable Solution in ...
4
votes
1answer
123 views

What is wrong with my code so it neither produces a correct plot nor an error message?

I am trying to define some initial functions and then using them to define my secondary functions and then plot the secondary functions. I am supposed to get two curves with a finite width ...
2
votes
1answer
71 views

How to plot a function whose constant parameters have associated uncertainties in Mathematica 8.0?

Let's assume I want to plot the function $f(x)=a + bx+ cx^{2}$, where experimentally known values of parameters $a, b$ and, $c$ are as follows: $a=1.01 \pm 0.18$ $b=0.92 \pm 0.11$ $c=2.2 \pm 0.2$ ...
1
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2answers
66 views
0
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2answers
61 views

Changing automatically the arguments of a function

I have a function of the type: f[a,b,c,d,e,f,g,h,i] I would like to evaluate the function changing the values of the arguments automatically. For instance ...
1
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1answer
49 views

Extra restrictions in best response functions using Manipulate[ ]?

I have two best response functions that I have defined like this: ...
2
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1answer
65 views
2
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1answer
93 views

Dog chases his tail ! - “parametric differential/Integral equation”..?

I have the following situation where I am interested in the function $m(t)$ $$ \frac{dm}{dt}=4T(t)^{3}+T(t)^{2} $$ $$ T(\tau)=T_{0}-\int_{0}^{\tau}(\frac{dm}{dt})dt*Q_{S} $$ Is there a way to solve ...
1
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0answers
53 views

Region traced by the endpoints of all vectors given by a parametric expression [closed]

I have the expression of a vector e, with 3 parameters tt1 tt2 and tt3: ...
0
votes
0answers
36 views

How to speed up Solve command in Mathematica 8.0?

I have two complicated mathematical functions $f(s)$ and $g(M)$ that are complicated functions of $s$ and $M$ respectively. I would like to solve the equation $f(s)=g(M)$ in order to plot $s$ vs. $M$. ...
2
votes
0answers
107 views

How to fit two datasets with common fit parameters?

I have two data sets which go: ...
2
votes
0answers
112 views

What is a good way to model fluid stream contours around airfoils?

I am an undergraduate student and am doing a project on conformal mapping for my complex analysis class. I have had one heck of a time trying to plot stream function contours to model fluid flow in ...
5
votes
1answer
75 views

Finding the correct boundary conditions to a specific problem

I want to reproduce the following problem in the figure: $$\phi''+c\phi'\sqrt{m^2\phi^2+\phi'^2}+m^2\phi=0$$ where $\phi=\phi(x)$ with $x \in (-\infty,\infty)$, $c=\sqrt{3/2} \ $ and $m=0.2$. ...
0
votes
1answer
108 views

ParametricPlot3D etc. with parameters satisfying an implicit relation

I need some help on plotting the curve generated by a vector, given its three components as a function of two parameters, e.g. s1 and s2, whose range are known, and they have to satisfy a given ...
-2
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1answer
49 views
1
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2answers
150 views

How to plot coupled Differential equations with changing parameters?

I'm a new user of mathematica. What I'm trying to do is following: I have two coupled non-linear differential equations. Say $x'(t)$ = $A− (B +1)x + x^2 y$ $y'(t) = Bx − x^2 y$ What I want is to ...
0
votes
1answer
51 views

Problem with combining Manipulate and ParametricPlot3D

I've beein trying to solve this problem but somehow I just can't combine Manipulate and ParametricPlot3D. ...
4
votes
2answers
207 views

How can I visualize a map $f:T^2\to T^2$?

Let $T^2\cong S^1\times S^1$ be the one-holed torus surface (say, embedded in $\mathbb{R}^3$) and say I have a simple-ish map $f:T^2\to T^2$ which I'd like to visualize. How might I do that? To make ...
0
votes
1answer
81 views

Transforming from implicit Cartesian form to a parametric form [closed]

First equation $((1.2 x)^2 + (1.4 y)^2 - 1)^3 - (1.3 x)^2 y^3 == 0$ I wanna transform it into a parametric equation. I spent a much of a day working on it without success. The equation describes the ...
3
votes
2answers
123 views

Computing powers of the operator using symbolic computation

Suppose $t\in\mathbb{R_+}$ - some parameter, $V: \mathbb{R}\to\mathbb{R}$ - some function. I have an operator $S:f\mapsto S[f]$ that maps a function $f$ to a function $S[f]$: $$ S[f](x) = f(x+\sqrt{t})...
0
votes
2answers
138 views

How to define a formula-less function? [closed]

How can I tell Mathematica that $f(t)$ is a function of time without providing it with a formula? I want to write an auto Lagrangian calculator. And a derivative taker is needed which writes the ...
0
votes
1answer
75 views

NDSolve Surface Plot to Compare Initial Values

I am trying to solve a system of differential equations which model reaction kinetics using NDSolve. I would like to generate a surface-plot of the function value as a function of time and the initial ...
1
vote
1answer
91 views

Ugly rendering of curve with ParametricPlot3D and NDSolve [closed]

I frequently have this rendering problem when I plot a complicated curve with ParametricPlot3D, found by solving a differential equation with NDSolve : The curve should be more "regular" (it is ...
0
votes
1answer
51 views

Visualizing how a function varies as a parameter varies [closed]

I would like to plot the following function: \begin{equation} \dot{y}=9.81\frac{90}{162.84}(e^{-\frac{162.84}{90}(t-t_0))}-1)+9.81\frac{90}{14.81}e^{-\frac{162.84}{90}(t-t_0)}(e^{-\frac{14.81}{90}t_0}...
4
votes
2answers
321 views

Is Mathematica capable of converting parametric equations into a function? If so, how?

I've been trying to find the formula for the offset/parallel to a sine wave. Not just the parametric equation, but the y = f(x) form. Here's what I've done so far: Read up on the parametric form and ...
3
votes
2answers
99 views

A parametrization for $\frac{\sin(x)}{x}$ as a revolution surface around $y$ axis

I'm looking for a parametrization for $\frac{\sin(x)}{x}$ as a revolution surface arround the $y$ axis. I have tried $X(x,y)=\Big(\frac{\sin(y)\sin(x)}{x},x,\frac{\cos(y)\sin(x)}{x}\Big)$. ...