All Questions

I am working on open quantum systems and have been wondering whether there is a way to extract the dynamical map using mathematica. Say we have a density matrix $\rho(t) = \begin{bmatrix} p_{00} + (1 -...

I was trying to ocmpute the line integral between the two zeroes of the function $f(x)=\sqrt{\frac{-x^2+x-1}{x^2(x-1)^2}}$. The zeroes are located at $(-1)^{1/3}$ and $(-1)^{2/3}$. I used the ...

I have this code. Definition of q is: ...

This is a little bold question and can look a little ridiculous. Q : Is it possible to modify evaluating process of selected function globally ? For example, ...

I'm working with some large expressions and fourier transforms, which usually take a long time to compute. When I save my notebook with outputs to all my inputs, I'd like it to remember those ...

I have the following quartic equation:\begin{equation} x^4 + ax^3 + bx^2 + ax + 1 = 0 \end{equation} and I'm trying to find relations for $a$ and $b$ for which we have multiple roots. To this end, I ...

To verify solution returned by DSolve, one can use the method shown in howto/CheckTheResultsOfDSolve.html and look for True (...

\begin{equation} \label{dia} IFR^{\nearrow ^{NBU}}_{\searrow _{IFRA}} \rightarrow NBUE \;\; \mbox{and} \;\; DFR^{\nearrow ^{NWU}}_{\searrow _{DFRA}} \rightarrow NWUE \end{equation}

When I am trying to compute some products of permutations in S_48, it is somehow not working. Here is my code: ...

I created this plot using SciDraw. I like everything about it EXCEPT the labels of the figure panels (a), (b), (c). They overlap with the frame. Can I move them a bit inward, just a smidge down in the ...

Consider the recurrence relationship d[0] = 0; d[i_] := (1 + Sqrt[1 + 4 d[i - 1]^2])/2 /; i >= 1 which generates the following sequence (generated by using <...

I wanted to calculate the RMSE of a neural network on the validation set to get an idea of its performance compared to other hyperparameters. It took a while for me to realise that RMSE is just under ...

what is the minimum dimension of a linear space in seven-dimensional space, which contains one-dimensional and three-dimensional affine spaces? and what is the minimum dimension of an affine space in ...

Mathematica (V 12.3.1, Native Mac M1 version) is not letting me use the FEAST method for solving eigenvalue problems. For example, ...

I'm trying to solve the following three equations having three variables. ...

I want to find a global minimum of a function and plot the result for different parameters. ...

I need a formula of function that decreases no linearly from x to y over a set of iteration for example -1+t*((-1)/Max), this formula decreases linearly from 2 to 0 where t=0,1,2,..., Max. can I make ...

I have the following expression with many Sign functions: ...

I have a time dependent matrix. In a thousand different times with the same time intervals I get the values of the matrices. Now, how can I DOT Product these thousand matrices in time order??

Consider the following integral $$\int_{-\infty}^\infty \int_{-\infty}^\infty \frac{e^{-x^2-y^2}}{|x^2+y^2-1|^{0.6}} dxdy.$$ By changing to polar coordinate analytically and putting the result into ...

Why does Mathematica sometimes show the suggestions bar like this: But in other cases it doesn't appear with any suggestions:

I was trying to verify my solution to this ode using power series method. The expansion point is x=0. This ode has removable singularity, so Frobenius series and ...

Very roughly speaking, a topological space is a geometric object, and the homeomorphism is a continuous stretching and bending of the object into a new shape. (https://en.wikipedia.org/wiki/...

I am trying to solve a set of coupled differential equations that look like this ...

Suppose I have the following list of items: ...

I am absolutely new to Mathematica and am trying to solve a very basic puzzle. I am trying to multiply a function (myStepFunc) to the column values of a 2D dataset and append two of these together ...

I never liked WRI tendency to now iconize some results from computation in the notebook. I do not know if this is the correct term for it. I like to see result always in plain normal code. Here is an ...

I have a Mathematica notebook that has a number of cells, and each cell has a number of code lines. Sometimes it takes long hours to finish evaluating each cell and I want to compare their evaluation ...

If you have a differential equation with polynomial coefficients then quite remarkably Mathematica can find a solution. For example for the second order differential equation $ y''(t)+b y'(t)+\left(\...

Let's say I decide I want all my axes to be colored red, so I do SetOptions[Plot,AxesStyle->Red] For the remainder of my session, I correctly get ...

I need some help with Newton's method in mathematica. Yes, I know that many questions have been asked about Newton's method, but I still don't understand I have to write a simple code for Newton's ...

I am trying to generate a large number (approx. 2 millions) of random numbers from an exponential distribution of the form: $$D(t)=\exp(-3000\, t)$$ The sum of the numbers must be 40. I use the method ...

With the following Code, I generate various ListLinePlots but I like to create the example ...

I have an initial function as follows ...

I have the following dataset: ...

I have an expression that involves many Sign functions. I want to expand this in the piecewise format. My function is: ...

When running : iris = ExampleData[{"MachineLearning", "FisherIris"}, "Data"]; I get the message : ...

I would like to solve an ODE with MMA. The equation is simply the Coulomb law. However, I cannot get a satisfying result: ...

Let us consider an expression $$\frac{\sqrt[3]{\sqrt{2-x^2}+x} \sqrt[6]{1-x \sqrt{2-x^2}}}{\sqrt[3]{1-x^2}}.$$ Its plot ...

Revised question to reflect new issues pertinent to Mma 12.3 and that are unresolved by the linked question - this is NOT a DUPLICATE and should not be reflected as such As of Mathematica 12.3, if I ...

I have written my integral as follows: NIntegrate[ f[re, rp, r], {re, 0, \[Infinity]}, {r, 0, \[Infinity]}, {rp, RealAbs[re - r], re + r}] but it returns ...

Here is my scatter plot I want show that the region lying in the range [Delta]=(0,40) and [Delta]=(140,190) is excluded. How do I show that? The code for my scatter plot is given below ...

I am solving this PDE numerically (dimensions: spatial variable x and time t). I know how to solve my problem numerically (for a given range of time). The solution reaches its equilibrium after a ...

I have three datasets as follow: ...

When launching Mathematica v.12, before opining any notebook, I get the following message: It does not afffect the execution of my notebooks, but it is annoying and I would like to understand how to ...

I do not understand why the output of the two commands: ...

I'm trying to solve the two order differential equations using NDSolve. Here is the code: ...

I've been sitting with this question: A graph has 7 corners. The degree of each corner of the graph is 3 or 4. How many edges does the graph contain if both degrees are represented? And this is the ...

Gaussian hypergeometric function $_2F_1(a,b,c,z)$ usually takes $a,b,c \in \mathbb{R}$ and $z \in \mathbb{C}$. But using Barnes integral representation, one can analytically continue the $_2F_1(a,b,c,...

I want to use the ResourceFunction["BayesianLinearRegression"] from Wolfram function repository. With this function I want to solve the ill-posed problem $...