Questions tagged [envelope]

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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 ...
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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 ...
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2 votes
1 answer
56 views

Find highest values between two different sets

I have the two following lists: ...
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1 vote
2 answers
85 views

problem with maximize function and envelope function

I Have the problem with the maximize of this problem: ...
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1 vote
1 answer
73 views

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. ...
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0 votes
0 answers
73 views

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 ...
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2 votes
1 answer
250 views

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 ...
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  • 157
0 votes
1 answer
234 views

Fitting sinusoid to noisy data

I have a set of data: ...
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  • 157
1 vote
0 answers
137 views

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 ...
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  • 157
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, ...
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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 $z_1, z_2$ ...
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  • 359
13 votes
1 answer
416 views

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 ...
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  • 8,308
2 votes
0 answers
84 views

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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  • 159
3 votes
2 answers
247 views

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-...
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  • 285
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 ...
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17 votes
5 answers
670 views

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: $$E(t,\theta)= \begin{pmatrix} x_E(t,\theta) \\ y_E(t,\theta) \end{pmatrix}$$ ...
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4 votes
3 answers
205 views

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 ...
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23 votes
4 answers
3k views

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...
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  • 4,994
11 votes
3 answers
354 views

The envelope of a set of translated and rotated ellipses

I achieve a dynamic graphics by using Manipulate as follows: ...
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  • 435
7 votes
2 answers
354 views

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 ...
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7 votes
3 answers
914 views

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 ...
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0 votes
1 answer
2k views

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 ...
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  • 541
9 votes
2 answers
2k views

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: ...
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  • 4,647
21 votes
2 answers
7k views

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 ...
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  • 311
30 votes
5 answers
5k views

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 ...
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