Linked Questions
13 questions linked to/from How to make Jacobian automatically in Mathematica
5
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3
answers
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Jacobian matrix evaluation at a point [duplicate]
I have a vector function $ f(x,y) = (f_1(x,y), f_2(x,y) ).$ I need to find the Jacobian matrix for $f$ evaluated at the point $(x,y) = (a,b).$
I learnt that I can use something like the following on ...
- 153
3
votes
2
answers
414
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 ...
- 133
20
votes
2
answers
8k
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
...
- 1,129
20
votes
2
answers
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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 ...
- 3,371
9
votes
2
answers
3k
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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 <...
- 4,291
0
votes
2
answers
3k
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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:
...
- 45
3
votes
2
answers
2k
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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 ...
- 75
3
votes
2
answers
3k
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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 ...
- 31
7
votes
1
answer
2k
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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, ...
- 171
3
votes
1
answer
1k
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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 ...
- 283
1
vote
1
answer
972
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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 ...
- 517
0
votes
1
answer
259
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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:
...
- 11
0
votes
0
answers
229
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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 ...
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