Questions tagged [implicit]

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Fitting data for an implicit function with two parameters

I have an implicit function of independent variable sB and dependent variable H with two parameters ...
Karen Simonyan's user avatar
7 votes
3 answers
400 views

How to plot a surface given implicitly by 3 equations in 5 coordinate variables?

I have 3 implicit equations in 5 variables: $f_1(S, y_h, y_d, x_h, J)=0$, $f_2(S, y_h, y_d, x_h, J)=0$, and $f_3(S, y_h, y_d, x_h, J)=0$. These equations determine a 3D surface in $S-y_h-y_d$ ...
yuhao chen's user avatar
0 votes
1 answer
97 views

Parametrization of intersections

How may we find (at least one real) intersection parametrizations $ x(t),y(t),z(t)$ between two implicit surfaces? p=9; ContourPlot3D[{x^2-y-(z-1)^2==1,(x+1)^2+2Sin[3y]-3z==4},{x,-p,p},{y,-p,p},{z,-p,...
Narasimham's user avatar
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1 answer
109 views

Confusing behaviour of EvaluationMonitor in NIntegrate when integrating on a implicit region

I am dealing with some complex integral and I just need an approximate result(have a precision of about 4 digits) for it. Thus I just need to do the integral by sampling at as less points as possible ...
zhang yixin's user avatar
0 votes
1 answer
109 views

Exp[-690255.2204176334] is too small to represent as a normalized machine number; precision may be lost [closed]

I'm trying to visualize the relationship of maximum temperature $(T_{m})$ with the heating rate with Randall-Wilkins theory for an energy depth of 0.85 eV. The Randall-Wilkins expression used is ...
D A.'s user avatar
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0 votes
2 answers
112 views

How to numerically integrate past singularities? [duplicate]

Is there any way to numerically integrate a differential equation where you know there are singularities? Can one "skip" over the singularity by using some type of implicit solver? Can one ...
DrKwantum's user avatar
4 votes
1 answer
117 views

Why `AsymptoticSolve` doesn't work for a multivariate implicit function?

I started by defining ...
Nekomiya Kasane's user avatar
2 votes
3 answers
326 views

Trying to solve an implicit equation, Mathematica gives the equation itself as output [closed]

The equation that I am trying solve is: ...
Atharva Modi's user avatar
2 votes
2 answers
184 views

Centroid of an implicitly defined plane region

An implicit curve could be something such as: $$(x/exp(y))^2+y^2=1,$$ Code: (x/Exp[y])^2 + y^2 == 1 which is the boundary of a plane region. How can its centroid ...
feynman's user avatar
  • 229
0 votes
0 answers
67 views

Solving implicit function

I'd like to solve for a variable in an expression which is in implicit form. See below. If the u1 and u2 functions below were ...
Peter McAdam's user avatar
3 votes
1 answer
110 views

How to find the derivative of one matrix with respect to another?

I have an expression from a continuum model,which looks somewhat like this excluding a few constants. Here epsilon is the 3x3 strain tensor and sigma is 3x3 stress tensor. I wish to compute the ...
Goutham's user avatar
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1 vote
1 answer
79 views

how to plot the function in the following

$$\Phi=e^{-\xi}*\cos\eta-\xi$$ $$x=\cosh\xi*\cos\eta$$ $$y=\sinh\xi*\sin\eta$$ how to plot streamline $\nabla\Phi$ in x-y coordinate.
Aerterliusi's user avatar
2 votes
0 answers
44 views

AsymptoticSolve for Taylor Expansion of Implicit Function

I have an implicit function ...
Ellen's user avatar
  • 21
2 votes
1 answer
90 views

Resolve a custom implicit equation

Consider the following non-linear equation: $$ k x = \frac{\frac{9}{4}-y^{22/25}}{2\ 2^{19/25} y^{22/25}-\frac{9}{4} \left(10 y+e^{-y}\right)^{22/25}-1} $$ where k ...
Lavender's user avatar
  • 119
1 vote
1 answer
90 views

How to plot a complicated implicit function?

I have a fourth-degree polynomial equal to 0: $a_2m + 2a_4m^3 + 3a_6m^4 =0 $. $a_2$ and $a_4$ are functions of $\alpha, \beta$: $a_2 = 1/2 (1-\frac{2\beta}{2+e^{\alpha^2(\beta-1)}})$ and $a_4 = \beta^...
Fellon's user avatar
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-1 votes
1 answer
71 views

Need help with the functions to use for this problem [closed]

Consider the following example. Suppose there is a thin rod which is insulated along its length. Suppose that the temperature is initially zero everywhere, and that the left end is suddenly heated and ...
MaxJ.'s user avatar
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1 vote
1 answer
71 views

Plotting vector valued level set over a sphere (instead of a ball)

I have the following code: ...
Theo Diamantakis's user avatar
1 vote
1 answer
153 views

How to plug in an implicit function into another function and evaluate in Mathematica? [closed]

I am wondering how to do the following in Mathematica. Say, we have an implicit function $y=f(x)$ defined by $F(x,y)=0$. I would like to evaluate another function $G(x,y)$ at the implicit function $y=...
zmxm's user avatar
  • 11
0 votes
1 answer
88 views

Find implicit function from [closed]

I'm trying to find implicit function. I have four parametric equations for functions T := T[x,y,z] X := X[x,y,z] Y := Y[x,y,z] Z := Z[x,y,z] And I want to find a ...
Nitaa a's user avatar
  • 718
2 votes
2 answers
63 views

How to draw sectional plot for a 3D parameter equation?

How to draw sectional plot for a 3D parameter equation? Firstly, the MMA code is given as ...
InFei's user avatar
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6 votes
2 answers
473 views

Compare MMA program with MATLAB program by plotting the same equation

Cross-posted in Wolfram Community. Firstly, the MATLAB program is ...
InFei's user avatar
  • 115
2 votes
3 answers
180 views

Solving implicitly a trigonometric equation

I am trying to solve this equation with respect to L: L== ((9.81*T^2)/(2*Pi)) Tan[2Pi*d/L] Since you have the unknown ...
Casimir de Bonneval's user avatar
3 votes
1 answer
131 views

A system of ordinary differential equations is being recognized as a DAE

I want a function auxiliarfunction that depends on two variables: ρh and ν. I need to plot ...
edgardeitor's user avatar
0 votes
1 answer
134 views

Problem with NDSolve regarding initial conditions of the derivative of a parametric function

I have a function functiontoplot defined using the following piece of code: ...
edgardeitor's user avatar
0 votes
1 answer
100 views

Branches of a curve defined implicitly

I have the variable functiontoplot, defined using the following piece of code: ...
edgardeitor's user avatar
0 votes
0 answers
133 views

Plotting a curve defined implicitly

I have defined the function functiontoplot using the following piece of code: ...
edgardeitor's user avatar
1 vote
0 answers
97 views

Implicit function in an ODE when using DSolve

I'm trying to solve an ODE with DSolve. The problem I'm facing is that in the ODE there appears an implicit function of the variable r*. The equation I'm trying to solve is ...
Emiel's user avatar
  • 11
4 votes
3 answers
407 views

Plot the intersection of random half-spaces

The code ...
Gilles Bonnet's user avatar
2 votes
1 answer
95 views

Problems plotting ImplicitRegion

I have run into some rather strange behavior regarding plotting over regions defined by ImplicitRegion. I have a condition given by ...
JamesVR's user avatar
  • 335
4 votes
1 answer
112 views

Imaginary variables in ImplicitRegion

I am using the function ImplicitRegion[]. RegionPlot[ImplicitRegion[x^2 + y^2 == -1, {x, y}]] which gives me a circle, though in the documentation variables are ...
Alexander Nikolaenko's user avatar
3 votes
0 answers
163 views

Sweep, scale, and rotate implicit 3d region or contour plot along an arbitrary curve

Suppose I have a 3d region or contour that is implicitly defined and has no explicit parameterization. This is easy to plot, as RegionPlot3D and ContourPlot3D allow implicit functions. But now I want ...
Nickolas's user avatar
  • 121
1 vote
2 answers
151 views

Finding the arc length of a region defined implicitly with an interpolated function

I begin by defining an interpolation of some data I have stored at this link for brevity. The interpolating function is a function of two variables, x and ...
qgp07's user avatar
  • 113
1 vote
1 answer
130 views

Composition of implicit functions

Let me explain what i have been doing so far. So I want to find an numerical solution or at least a grafic solution to this equation: ...
Cbruno's user avatar
  • 11
1 vote
0 answers
117 views

DSolve: lack of implicit option (unlike Maple's dsolve built-in option)

I am working with the book 'Differential Equations for Engineers' (Cambridge University Press). The author dedicates one chapter of the book in solving ODEs with Maple. The book was published in 2010. ...
Dimitris's user avatar
  • 4,794
1 vote
0 answers
90 views

How do I plot two normalized variables with one varying parameter as a 2d plot or a contour plot?

I'm trying to replicate a plot that has both (x,y) normalized variables, I've tried using Evaluate and Contourplot with no success. I have set Rn=20, but it should be another variable. Where Fn=fs/fr, ...
1239308's user avatar
  • 11
1 vote
1 answer
115 views

Improve performance of evaluating over an implicit region

Consider the following implicit region: ...
John Taylor's user avatar
  • 5,397
0 votes
2 answers
107 views

Implicit differentiation such that I an numerically solve an equation [closed]

If I have some function: N(t) = N0e^(bt) where b is a function of N(t). How do i calculate dN/dt? It gives me a recursion warning since it's just caught in a loop of substituting in N(t) into b over ...
user73954's user avatar
3 votes
3 answers
488 views

Plot involving an implicit function

I'm trying to make a plot that depends on an implicit function. This example illustrates the problem: plot $c=2l +n$ in the $c \times l$ axes, where $n$ is implicitly determined by $n^5+ 2n = c^2$. ...
Ararat's user avatar
  • 435
3 votes
2 answers
226 views

Solving the Shifted Neutral Axis Problem

Problem Description: In solving the "Shifted Neutral Axis" method for the stress distribution of a vertical steel vessel supported on a concrete foundation, we can derive the following ...
felimz's user avatar
  • 79
0 votes
2 answers
124 views

Plot implicit polar equation streamlines

I'm trying to plot streamlines of Stokes solution to an sphere, the expression of streamlines is I've seen similar questions before and this what I have tried As you can see, a=1, U=1, but it seems ...
Juan Garcia's user avatar
2 votes
0 answers
92 views

Large system of implicit differential equations

We are trying to solve a large system of implicit system of differential equations for complex variables $\boldsymbol{\alpha}\left(t\right)$ and $\boldsymbol{\lambda}\left(t\right)$. System consists ...
Mantas Jakučionis's user avatar
3 votes
1 answer
251 views

Solve transcendental equation involving a built-in function [closed]

How can I solve an equation of the following form? $$x = 10+\mathrm{\mathbf{PrimePi}[x]}$$ where $x$ is an integer. I am using Solve but am getting the following ...
abcd's user avatar
  • 483
1 vote
2 answers
87 views

Interval arithmetic and implicit function inside test

I has implicit function and square region. I need to check this region for presence of part of curve, with interval arithmetic only. My attempt: ...
PavelDev's user avatar
  • 321
5 votes
1 answer
832 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 ...
PavelDev's user avatar
  • 321
10 votes
1 answer
1k views

How can I find a parametric equation for an implicit surface?

I need a parametric equation for the Taubin heart surface, which is defined in implicit form. I asked a similar question in math branch, but didn't get an answer. This is the implicit form: $$\\\...
PavelDev's user avatar
  • 321
0 votes
1 answer
87 views

How to plot the absolute values of the solutions to a parametric equation versus the parameter?

Mathematical formulation of my problem: Let $\Theta\subset\Bbb R$ be an interval. For each $\theta\in\Theta$ let $f_\theta: \Bbb C\to\Bbb C$ be some function and $z_{\theta,1},\ldots,z_{\theta,n(\...
Mars Plastic's user avatar
1 vote
1 answer
132 views

Solve implicit equations, input and plot the solution in a different equation

I have two implicitly defined variables, $\sigma_D$ and $\sigma_M$ one of which is a function of the parameter $v$. In particular, $\sigma_D = F(\sigma_D,v)$ where $F(\sigma_D,v)=0$ if $ c_D < -0....
A. Pant's user avatar
  • 35
1 vote
1 answer
223 views

How to get the implicit solution of this PDE (Maple can but I don't manage with mathematica)?

I asked this question about the analytical solution of the PDE: $$\partial_t c=\partial_x((c-a)(c-b)\partial_xc) $$ And I was given the answer that Maple gives the following implicit form as a ...
J.A's user avatar
  • 1,265
0 votes
1 answer
47 views

How can I get paired coordinates from the implicite function?

I have equation E^y = x. How can I use Mathematica to solve all of "y" from the desired "x" value. For example, I want to solve for "y" from x = 0.5 , 1 , 1.5 , 2 , .... , 9.5 , 10. The solution ...
Ron's user avatar
  • 45
2 votes
2 answers
197 views

Solve implicit equations and plot solutions as parameter changes

I have the following two implicit equations that are functions of a parameter $f \in (.5,1]$. I would like to solve these two equations (i.e get $\sigma_D$ and $\sigma_M$) for different $f$ values and ...
A. Pant's user avatar
  • 35