# All Questions

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36 views

### The Value is not Updated in the list/table [closed]

I have following data groupedTerms3rdcycle = GroupBy[term3rdcyclelist, Most -> Last]; where term3rdcyclelist is the list. I ...
55 views

### Can Manipulate's execution result be represented by In&Out Cell?

I wrote the following code. ...
229 views

### Contourplot with three variables

I have the following equation to generate a contour plot for it: ContourPlot[{(6 x^2 (-0.00001 + (z)^2))/(6 y^2) == 0.2}, {x, -1, 1}, {y, 0.1, 20}] It has three ...
143 views

### Taylor approximation of integrals

I have BVP as in the picture and I want to solve it numerically by method given as follow. In the original paper, it is motioned that first iteration is computed and other are computed with Taylor ...
57 views

### Automatic FrameTicks with MaTeX style

I'm currently working on generating several function plots and have been using the following code as a template: ...
1 vote
103 views

### Using Reduce to simplify (not solve) system of equations

I'm dealing with a Mathematica program that generates a set of coupled non-linear equations involving an unknown function and its derivatives with respect to at least one independent variable. My goal ...
1 vote
105 views

### Normalized Coincident Detection Probability of Laguerre - Gaussian Modes

I am working on a paper in which a pump mode is passing through SPDC(Spontaneous Parametric Down conversion) is converted into two photons called as signal and idler. In which laguerre-Gaussian mode ...
172 views

### Manipulate list of equations

I have a list of equations: eqns={a/b==c,d/e==f,...,x/y==z} Now I want to muliply each of the equations with corresponding denominator, so that the result is: <...
49 views

### Sigma Delta Modulator in Mathematica

Below code is for 1st order sigma delta modulator used in ADC/DAC circuits. ...
138 views

### FunctionContinuous for a function defined with Which

The function: f[x_] := Which[0 <= x < 1/2, x^2, 1/2 <= x <= 1, x^2 + (x - 1/2)^3]; is continuous on the interval $0 \leq x \leq 1$, as a simple ...
1 vote
53 views

### Selecting regions from the screen to capture dynamically

I know that by using CurrentScreenImage with some coordinates that I can capture regions of my screen. I would like to be able to capture a rectangular region of my ...
86 views

### How to add a column to a dataset made up of an association of associations?

A dataset can be created in at least two ways: first, from a list of associations, second, from an association of associations (I know that it is also possible to create it as a list of list and an ...
427 views

### Accumulated instance count of each list element

Given a list with repeated elements, for example: list = {m, i, s, s, i, s, s, i, p, p, i} I'd like to determine, for each position in the list, how many times the ...
53 views

### How can I add a point label to this plot? [closed]

I am using the listlineplot function. How do I label a specific point with text?
50 views

### Adding an empty circle to this plot, plus changing styles

I cannot find a god solution to highlight the intersection point between these two curves, in the plot I made: ...
64 views

### Help implementing Lagrange inversion

I'm attempting to find the coefficients of generating functions using Lagrange inversion. I am finding the series coefficients with: ...
230 views

### The center of mass of a semiellipsoid

I am trying to find the center of mass of a semiellipsoid using cylindrical coordinates. r^2/a^2+z^2/b^2 < 1, z < 0 the density = 1. I know that the center of mass is (1/M int,int,int rcos(theta)...
34 views

### Why do plots change in dependence on sample order?

I suggest two identical data set dat1 and dat2, save the order of samples is different. After selecting the first or the second data, the SCORE and LOADING plots are different. This seems to be in ...
63 views

### Determining special intersection points from 3D points defining a surface

I need to calculate a complicated integral. I asked a question: Method to compute this integral, but my question has been closed. First of all, I need to get the domain of integration. I have a ...
141 views

### Minimum/optimal number of tiles to cover all boxes

I have been struggling with the following problem. Given: the coordinates of a bunch of boxes/rectangles (in the form {xmin,ymin,xmax,ymax}) aligned with the x-y ...
309 views

### How to make a polynomial so that f(i) = 1/(2^i)?

I know that, sequence has formula $f(n) = \dfrac{1}{2^n}$ satifying the conditions $f(1)=\dfrac{1}{2}$, $f(2)=\dfrac{1}{4}$, $f(3)=\dfrac{1}{8}$, $f(4)=\dfrac{1}{16}$. Now I am trying to find a ...
1 vote
99 views

### Why does assuming f[_] > 0 does not work while Element[f[_], Reals] does?

Refine works with symbols in either way: Refine[Sqrt[x^2], Element[x, Reals]] (* Abs[x] *) Refine[Sqrt[x^2], x > 0] (* x *) ...
1 vote
65 views

### Extract boundary points of an interpolating function obtained by NDSolve

Given a set of coupled nonlinear equations I want to extract the boundary points that appears in the interpolation function obtained as an output to NDSolve function and then to define them directly ...
424 views

### Largest integer between 1 and 1000 with no letter "n"

This problem is easy to solve logically - try it for fun if you want before you run the code and see the answer. ...
1 vote
70 views

### Discrete number does not work well in DSolve

The code below works fine. ...
1 vote
40 views

### Delayed rule at StringReplace

In the StringReplace example(chaging two letter to uppercase) below, delayed rule is used. However, the result is the same even if rule is used. 1)The delayed rule must be uesd in this case? 2)In what ...
92 views

### Manipulate breaks when using the RegionFunction option?

For some reason, the code below breaks when using the regionfunction option with Manipulate. Am I missing something or is this a bug? ...
66 views

### How do I copy what I enter into 'InputField' without any computational processing?

I made an InputField where I input the quoted sentences inside. And I set InputField to copy every time I run it. ...
85 views

### How to set the precision for the entire notebook

I want to do various computations conditional on a given precision for the entire notebook. I use the following code: ...
1 vote
34 views

### functional derivative with respect to the partial derivative of the metric with xAct

I want to compute the functional derivative with respect to a partial derivative of the metric with the mathematica package xAct. This is what I have tried so far: ...
74 views

### Rotating text in the Epilog of a plot results in distortion

I want to rotate text in a plot. When I rotate by 90 degrees, or 180, it's perfectly OK. But if I want to rotate to 60 or 45 degrees, then the text appears distorted (see example below). How can I fix ...
79 views

### Nice output for FourierTransform

I want to demonstrate FourierTransform in a lecture. However if you give FourierTransform a differential equation it does not ...
204 views

### Different answers when attempting replacement of function argument

I have three function computing Fibonacci numbers which return correct answers when directly called with e.g. fib1: ...
1 vote
31 views

### Monitor inside core function

I like DistanceMatrix: its performance is surprisingly high, even for a big data. However, for a huge arrays and custom ...
124 views

### Why does using a sparse matrix for least squares instead slow down the speed?

Here is the code. The matrix appears to be relatively sparse in terms of its visual representation, but why does using least squares result in significantly slower speed compared to the previously ...
23 views

### Simplify vector calculus based on component splitting

I am interested in verifying a few Vector Calculus expressions using Mathematica. These expressions are based on splitting a vector field into its transverse components (in the xy- plane) and ...
3k views

### Digits of Pi in colored spiral

In How to make the digits of π go around in a spiral like this? it is described how to plot pi in a spiralform (in my case as binary number): ...
74 views

### Which condition is better for WhenEvent?

I'm solving a non-linear system with NDSolve. See my previous post In the WhenEvent, which one is better for ODE solving ...
89 views

### MaTeX text looks shabby when latex generated pdf is not zoomed

I want to use Matex for the figures in my plots which I eventually would like to use in overleaf. I create a plot and use Matex in it and right click on it to save as pdf. I then use this pdf in ...
100 views

### Searching AnatomyData efficiently

I really like AnatomyPlot3D, but find it exceedingly difficult to find Mathematica's terminology for an anatomical structure. Listing all of them and searching by ...
372 views

### How to handle units of measurement?

I'm trying to understand how Mathematica handles units of measurement. That is I expect that a calculation should return a certain unit, but I don't succeed. Let's consider this example: ...
66 views

### Maximizing a function that is only defined numerically

I have a function of multiple variables that is only defined numerically. I am trying to maximize the function and find the critical points as fucntions of two parameters p and s using FindRoot but I ...
138 views

### Speed up this computation involving NSolve many times?

Can you think of a way of speeding up this computation ? I don't. ...
36 views

### Trouble implementing switching hybrid system with NDSolve

I'm trying to use NDSolve to simulate a hybrid nonlinear system that switches between different linear behaviors based on states and inputs (i.e. switching from one linear behavior to another) which ...
430 views