Questions tagged [envelope]
The envelope tag has no usage guidance.
25
questions
3
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How to determine which points are on an envelope of ellipses?
I'm wondering how to determine the location of some of the points on the envelope of a family of ellipses? The picture I have is below:
For each of the individual ellipses, I know how to get the ...
0
votes
1
answer
58
views
plot a performance envelope (changable ellipse) [closed]
I am learning by myself to use Mathematica. I am quite new actually. I'd like to plot something that resembles the picture below, but here's the thing, I want to know if there is a possibility to ...
2
votes
1
answer
56
views
Find highest values between two different sets
I have the two following lists:
...
1
vote
2
answers
85
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problem with maximize function and envelope function
I Have the problem with the maximize of this problem:
...
1
vote
1
answer
73
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Find the intervals where a piecewise is maximum
I have the following 3 piecewise functions and I would like to have the threshold of the upper envelope.
...
0
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0
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73
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How to extract envelope for piecewise defined function? [duplicate]
I have a plot generated from an ugly and complex set of piece-wise functions. I'm looking to extract the envelope function from this data set. I've tried a lot of suggestions in other threads, but ...
2
votes
1
answer
250
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Extracting a fitting parameter for each element of a For Loop
I have a code that fits a sine wave to small sections of a large data set and uses this to create an envelope function. I am trying to extract one of the fit parameters for each iteration of the For ...
0
votes
1
answer
234
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Fitting sinusoid to noisy data
I have a set of data:
...
1
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0
answers
137
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Fitting two overlapping sinusoids in a single set of data
I have a set of data
data = Import["https://pastebin.com/raw/aqUwN2XR", "List"];
that gives me a graph that looks as though it has two oscillating sinusoidal ...
4
votes
2
answers
486
views
Envelope of two inter-winding curves [duplicate]
I have the following symmetric curves
Plot[{Exp[-x] Sin[5 x], -Exp[-x] Sin[5 x]}, {x, 0, 2 π}, PlotRange -> All]
I want to join all the maxima and minima, ...
4
votes
1
answer
401
views
Drawing the hyperbolic geodesics joining pre-images
Let $B$ be any finite Blaschke product of degree $n\ge 3.$ In this paper David Singer has shown that, the curve $\gamma$ which is the envelope of hyperbolic geodesics joining pair of points $z_1, z_2$ ...
13
votes
1
answer
416
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Creating a tube from orbit collection
I have a data file which contains the $(x,y,z)$ coordinates of a large collection of orbits (about 2000 orbits). Now let's plot them
...
2
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0
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84
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Avoiding loops with breakpoints of a Piecewise function
I'm new to mathematica and I'm trying to avoid loops. The setting is the following: I have consumers with preferences (their Betas). Depending on the Beta consumers will have different preferences.
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3
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2
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247
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Selection of points based on position
I have a series of points, for example:
points = {{0, 0}, {1, 3}, {2.5, 2.5}, {4, 4}, {6, 6}};
I want to join all points successively unless, for example, the y-...
7
votes
2
answers
469
views
Get envelope of a set of functions?
I'm new with mathematica and I'm trying to solve a problem.
I have a set of functions in the same variable. Let's say the domain is [0,2]. I would like to get an ordered list of the functions ...
17
votes
5
answers
670
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Is there a numerical method/built-in to calculate the boundary of a set of graphs?
Recently, I encounted a geometry problem in my work. For a curve-family that owns the following parametric equation:
$$E(t,\theta)=
\begin{pmatrix}
x_E(t,\theta) \\
y_E(t,\theta)
\end{pmatrix}$$
...
4
votes
3
answers
205
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A simple question about replaceall and plotting
I was trying to replicate the picture produced on this Wikipedia page with the astroid emerging as the envelope of normals to the ellipse. I ran into issues using the ...
23
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4
answers
3k
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upper envelope of data
Here is a ListPlot[] of some data. Clearly, there is a fairly smooth upper envelope - the question is whether there is an nice way of extracting it...
11
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3
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354
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The envelope of a set of translated and rotated ellipses
I achieve a dynamic graphics by using Manipulate as follows:
...
7
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2
answers
354
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How to draw a family of planes and its envelope?
Motivated by a question in MSE, I have the following question:
How can I visualize the envelope of the family of planes
$$
2ax+2by-z+a^2+b^2=0, a,b\in\Bbb{R}
$$
which is given by the ...
7
votes
3
answers
914
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Envelope for harmonic oscillator [duplicate]
I am able to take the expression $\cos 11t-\cos 12t$ and use the sum to product identity to write it in the form
$$\left(2\sin\frac t2\right)\sin\frac{23}{2}t.$$
I can then plot the function and use ...
0
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1
answer
2k
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Obtaining the envelope of an oscillating function and perform fitting
There is an elegant way to obtain the envelope of an oscillation function explained here https://mathematica.stackexchange.com/a/27854/15966
My question is how to modify the code below so I can fit ...
9
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2
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2k
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plotting a trig functions along with its envelope
Note: This questions is quite different from the ones referred to in the comments. Those deal with numerical questions, while this one is algebraic.
I have plots of the following type:
...
21
votes
2
answers
7k
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Elegant way of obtaining the envelope of oscillating function [duplicate]
I am solving a differential equation numerically and the output is an oscillating function with the amplitude of the oscillation decaying in time. I would like to extract the power law governing this ...
30
votes
5
answers
5k
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Mathematica envelope for the bottom of a plot, a generic function
I have the following set-up:
xaxis = Table[x, {x, 0, 10, 0.01}];
yaxis = Table [Sin[x] + Abs[RandomReal[{-1, 1}]], {x, 0, 10, 0.01}];
ListLinePlot[Transpose[{
xaxis, yaxis}]]
My questions is how can ...