Linked Questions

3
votes
2answers
327 views

Jacobian transformation [duplicate]

I would like to calculate the Jacobian transformation of the measure $dx dy$ $z = e^{x+iy}, \bar{z}=e^{x-iy}$ which should give $-2i|z|^2$. I am not sure how to do this in Mathematica. Further, I need ...
19
votes
2answers
6k views

How to make traditional output for derivatives

Hello again after some pause. i have a problem how to present partial derivatives in traditional form, not as Mathematica gave it to me in its notation. So I want to present this ...
18
votes
2answers
25k views

Simple ways to evaluate a derivative at a point?

The contrast in behavior between, say, f[x_] = Sin[x^2]; f'[2] vs. u[x_, y_] = Cos[x + y^2]; has always bothered my ...
9
votes
2answers
3k views

Create complicated text formulas in graphics

I want to put somewhat complicated, or at least non-standardly formatted, text on some of my graphics. For example, I'd like to be able to use f^[4](x) (where the <...
3
votes
2answers
3k views

How to substitute numeric values in a symbolic Jacobian matrix?

I have a multi-variate function from $\mathbb{R}^n\to\mathbb{R}^n$. Choosing any desired initial vector, we can produce the corresponding function value, which is a vector as follows. The main problem ...
7
votes
1answer
2k views

Optimizing an energy functional in mathematica using variational calculus

I have an energy functional which I want to optimize using calculus of variation. It would be nice if someone could please post a working example using mathematica. The procedure is as follows, ...
3
votes
2answers
1k views

Differentiation of an unknown function

I have to take the partial differentiation of an unknown function. For example, take the unknown function to be $g(x)$. Then it's derivative w.r.t $x$ is $g'(x)$. By default, Mathematica ...
0
votes
2answers
2k views

Computing Jacobian matrix

I am trying to compute the Jacobian matrix J. In my case, f and x are 3-vectors (my vectors are named g and a instead), so J should be a 3X3 matrix. Here's the code I'm using: ...
3
votes
1answer
1k views

Symbolic Jacobian computation

I have an equation for which I would like to compute the Jacobian symbolically. $$f(x)=Ax-diag(x)(Ax+b)$$, where $x\in \mathbb{R}^n$, $A\in \mathbb{R}^{n\times n}$ and $b\in \mathbb{R}^n$. I am new ...
1
vote
1answer
910 views

Factor vector out of a matrix

I am wondering how to factor a[1],a[2],...,a[4] out of sim so that I can write sim as the ...
0
votes
0answers
220 views

How to create a big jacobian matrix function over some variables of a vector function?

Suppose I have a vector function of $n$ components and it has $n+m$ arguments, $$\vec{f}(x_1,x_2,\dots,x_n, y_1, y_2, \dots, y_{m})$$ where $n, m $ are around 10. I want to create a Jacobian matrix ...
0
votes
1answer
109 views

Find the Jacobian and Wronskian of 3x3 system [closed]

Can you help me find the code that calculates the matrix Jacobian and Wronskian of 3x3 type. A matrix with the help of the "modlye" commend. I can only write this: ...