Most active questions
19 questions from the last 7 days
1
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2
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339
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Creating a spiral
This is both a math question and a Mathematica question. I am trying to draw a simple spiral, and found this diagram that fits what I am trying to create.
Implementing the math, using Mathematica, I'...
3
votes
2
answers
226
views
Solving a coupled 2nd order differential equation numerically using NDSolve
I would like to solve the following system of differential equations numerically for two one-dimensional functions $R(x)$ and $\phi(x)$:
\begin{eqnarray}
c_1 \left(R''(x) - (\phi'(x))^2 R(x) \right) - ...
2
votes
2
answers
189
views
Finding asymptotes of a function defined by a relation of two variables
Based on this question, how does one analytically compute the asymptotes for the equation defined by:
$$(x+y+2)(x+y)^2 = x+9y-2 ?$$
I can easily plot the curve...
and can manipulate equation for ...
4
votes
2
answers
265
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Visualizing Different Coordinate Representations of Complex Numbers
As a beginner with Mathematica, I apologize if this question is too basic. I would like to show introductory students that a complex number can be represented in several different coordinate systems ...
2
votes
1
answer
146
views
Numerically integrate an implicit vector vectorizedly
I want to define a function f[x] and then be able to integrate numerically as a vector - not component by component. The following is my failed attempt:
...
3
votes
1
answer
221
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What is the meaning/utility of __[] AKA BlankSequence[][]?
I understand BlankSequence in other contexts, but not this one __h means a pattern of one or more things each of which have head ...
4
votes
1
answer
141
views
Visualizing multiple paths to infinity in the complex plane using Mathematica [closed]
Hello everyone — I’m reading about the extended complex plane and the “point at infinity,” and I find the geometric picture quite helpful. According to this text, in the complex plane $z \in \mathbb{C}...
2
votes
2
answers
121
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Log-scaled bar legends in both directions
EDIT: This question has been heavily edited to only show the one question I have without confusion.
I am simulating points $X_j$ and getting outputs $Y_j=f(X_j)+e_j$ where $e_j\sim N(0,3)$ where $f$ ...
0
votes
1
answer
94
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HowTo vertically center node labels in Graph output
Version: "14.3.0 for Linux x86 (64-bit) (July 8, 2025)"
The code listed below using the data following it produces the result shown in the image. I want the node labels positioned directly ...
2
votes
1
answer
51
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Constructing a URL query using URLDownload or URLRead
I am trying to download data from NOAA and I can't figure out how to construct a query to do it.
This URL points to a page that contains data for tides at six minute intervals between Jan 01 2021 and ...
0
votes
1
answer
170
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How does Mathematica define the indefinite integral $\int f(x) dx$? [closed]
How does Mathematica define the indefinite integral $\int f(x) dx$?
For example, if you input into Mathematica Integrate[Sin[x], x] it will return $-\cos(x)$ and ...
1
vote
0
answers
127
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Summation contains additional $\frac{\zeta(3)}{8\pi^2}$ term if evaluated without presimplification
As noted in this math.se question from 2018 (which was using WolframAlpha and Mathematica 7.0, though it persists in 14.0.0), Mathematica's evaluation of the following sum depends on where the ...
2
votes
0
answers
88
views
$Assumptions set in init.m are reset back to True
I set $Assumptions to something in init.m. I followed it with printout to see that it was being set. However, once I get to my ...
-2
votes
0
answers
73
views
Why iteration fails? [closed]
I'm solving this ODE and it seems that the first iteration (urho[1]) works but when I try to calculate urho[2] it fails. The ...
0
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0
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87
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Wikipedia word cloud question from "An elementary introduction to the wolfram language"
I have been following the aforementioned course and it has been great. I am currently stuck on question 36.4: "Publish a form on the web that takes the topic of a Wikipedia page and gives a word ...