4.4 Tuesday, November 28, 2017

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Top new questions this week: 
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[The fastest thing since sliced cubes?] https://mathematica.stackexchange.com/questions/160527/the-fastest-thing-since-sliced-cubes

I’ve fallen down a rabbit hole recently, and need a reality check.

Suppose you have an arbitrary unit vector, \(u \in \mathbf {R}^3\), and you cut up the unit cube into slices orthogonal to \(u\) with ...

- asked by aardvark2012 (18 votes), answered by ybeltukov (7 votes)

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[Mathematica does not respect linearity of integral] https://mathematica.stackexchange.com/questions/160655/mathematica-does-not-respect-linearity-of-integral

I have the following issue, trying to evaluate an integral. Mathematica tells me

Integrate[x^2 (1 + x^2)^(1/2) + y + z, {x, y, z}  Sphere[{0, 0, 0}, 1]] 
 
(* 1/2  (3 Sqrt[2] - Log[2 (2 + Sqrt[2])])  ...

- asked by Simone Melchiorre Chiarello (14 votes), answered by Itai Seggev (8 votes)

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[How to obtain the cell-adjacency graph of a mesh?] https://mathematica.stackexchange.com/questions/160443/how-to-obtain-the-cell-adjacency-graph-of-a-mesh

Given an arbitrary mesh region, how can I efficiently obtain the graph describing the adjacency structure of mesh cells?

For example, given the following mesh,

SeedRandom[123] 
pts = RandomReal[1,  ...

- asked by Szabolcs (10 votes), answered by Henrik Schumacher (11 votes)

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[Can a symbol have both OwnValues and DownValues?] https://mathematica.stackexchange.com/questions/160740/can-a-symbol-have-both-ownvalues-and-downvalues

Mathematica Version 11.2 desktop / Windows 10 Pro 64-bit

I am trying to understand if a symbol can have both OwnValues and DownValues.

Is this acceptable or not acceptable?

As an experiment, I ...

- asked by John (10 votes), answered by m_goldberg (11 votes)

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[Differences between DSolve and NDSolve] https://mathematica.stackexchange.com/questions/160560/differences-between-dsolve-and-ndsolve

I have a question about the difference in the solution between DSolve and NDSolve.

I want to solve the Friedmann equation of

\begin {align} 3\left (\frac {\dot {a}^2}{a^2}+\frac {k}{a^2}\right )=8\pi \end {align}

- asked by user85503 (10 votes), answered by Michael E2 (10 votes)

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[How to check if a vector is an eigenvector of a matrix using mathematica?] https://mathematica.stackexchange.com/questions/160801/how-to-check-if-a-vector-is-an-eigenvector-of-a-matrix-using-mathematica

Here is a vector

\[\begin {pmatrix}i\\7i\\-2\end {pmatrix}\]

Here is a matrix

$$\begin{pmatrix}2& i&0\\-i&1&1\\0 &1&0\end{pmatrix}$$

Is there a simple way to determine ...

- asked by Conor Cosnett (8 votes), answered by Michael E2 (5 votes)

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[How do I read values from photocells connected to analog pins of Arduino Uno?] https://mathematica.stackexchange.com/questions/160761/how-do-i-read-values-from-photocells-connected-to-analog-pins-of-arduino-uno

Generally, I need to connect my Arduino Uno to Mathematica and read 3 analog values from A0, A1, A2 in real-time.

As I understand, I have 2 ways of connecting Arduino to Mathematica:

First: I have a ...

- asked by Aleksandr Berezutskii (8 votes), answered by Suba Thomas (2 votes)

================================== Greatest hits from previous weeks: ==================================

[How to manipulate 2D plots?] https://mathematica.stackexchange.com/questions/7142/how-to-manipulate-2d-plots

When it comes to visual analysis, large datasets or data with intricate internal details often makes plotting in 2D useless, as the outcome is either just a fraction of the full dataset, or no details ...

- asked by István Zachar (124 votes), answered by István Zachar (142 votes)

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[How to find the position of elements in a list satisfying criteria] https://mathematica.stackexchange.com/questions/180/how-to-find-the-position-of-elements-in-a-list-satisfying-criteria

Say I have a list x={2,4,6,8,10} and I want to find out the 
positions of the elements that are greater than 7. 
 
Select[x, #>7&] gives the elements themselves, and Position[x,8] gives the  ...

- asked by PeterR (47 votes), answered by J. M. (46 votes)

================================== Can you answer these? ==================================

[Default options of LinearSolve] https://mathematica.stackexchange.com/questions/160693/default-options-of-linearsolve

I would like to know what is the default options of LinearSolve when using LinearSolve[A,b], where A is a sparse matrix. There are several methods available such as Cholesky and Krysol etc., see here. ...

- asked by Wilhelm (1 vote)

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[Prevent Semi-Transparent Pixels in Export] https://mathematica.stackexchange.com/questions/160578/prevent-semi-transparent-pixels-in-export

I’ve noticed that when I export plots in Mathematica without a background, a lot of the text ends being made of semi-transparent pixels. For example:

myplot = ContourPlot[Cos[x] + Cos[y], x, 0, 4 ...

- asked by ereHsaWyhsipS (1 vote)

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[Identifying the range of the voice] https://mathematica.stackexchange.com/questions/160731/identifying-the-range-of-the-voice

I’m trying to do an equalization in an audio program called Audition.

To have a good voice equalization, I need to have a frequency range of my voice.

A minimum value and a maximum frequency value.

...

- asked by LCarvalho (2 votes)