For questions concerning the open source computational software program Maxima.
For questions concerning the open source computational software program Maxima. The website for Maxima has documentation, a wiki, and other useful resources.
Questions tagged [maxima-software]
97 questions
9
votes
4 answers
Speeding up the convergence of a series
I want to speed up the convergence of a series involving rational expressions the expression is $$\sum _{x=1}^{\infty }\left( -1\right) ^{x}\dfrac {-x^{2}-2x+1} {x^{4}+2x^{2}+1}$$
If I have not misunderstood anything the error in the infinite sum is…
Sumo
- 198
7
votes
4 answers
Maxima vector magnitude and cross product
I'm new to maxima. And I have two questions:
1. Question
I have a little problem with computing vector's magnitude. Now I'm using such form as
sqrt(v1.v1)
This code looks very ugly.
2. Question
I thought vector cross product is expressed like a~b.…
Ivan Ehreshi
- 101
6
votes
1 answer
Runge-Kutta 4 - solving system of 6 differential equations (BVP)
I'm facing a tricky problem. I need to solve a system of 6 differential equations numerically, but I don't have 6 IVP (initial value problem) conditions, instead I have 6 BVP (boundary valye problem) conditions (3 conditions at $x=0$ and 3…
Marcelo
- 153
5
votes
2 answers
partial derivative with Maxima
I have the following equation:
(v * w) / ( v * ((v * w) + (1 - v) * x) )
I want to find the partial derivative with respect to v. Using the quotient rule I get:
(-w * (w - x)) / ((v * w + x - v * x)^2)
If I set the values of the variables:
v =…
Mark Miller
- 188
5
votes
1 answer
Factoring polynomials over finite fields using Maple and Maxima
Can you factor polynomials over certain finite fields using Maple or Maxima, and if so, how?
flawr
- 16,931
4
votes
1 answer
Syntax to calculate sum with maxima or wxmaxima using different variables
So I'm not sure if I'm right here but I can try:
So we are having a statistics class at uni. The question is:
$x_{1}= 5$, $x_{2}= 3$, $x_{3}= 7$
$y_{1}= 6$, $y_{2}= 4$, $y_{3}= 12$
Calculate following:
$\sum_{i=2}^{3}(x_{i}+y_{i}) =$
I know it's…
k3njiy
- 43
- 1
- 3
3
votes
2 answers
maxima and converting output of variable to float
I can get maxima to solve an equation but can't figure out why it won't show it's numerical value without typing the extra command/step of float(%). Is there away to automatically convert a solved variable to a numerical format.
Example of…
Rick T
- 497
3
votes
1 answer
Maxima CAS: How to differentiate w.r.t. an expression?
Is there a way to differentiate with respect to an expression, instead of a single variable in Maxima CAS? Here is a toy example, which should give $\frac{\partial}{\partial x^2}x^2=1$:
diff(x^2,x^2);
with an error in wxMaxima 20.06.6
diff: second…
Oleg Melnikov
- 143
3
votes
1 answer
Why does Maxima say these expressions are not equivalent?
If I compare two expressions in Maxima, it tells me they are equivalent, as expected:
(%i25) is(equal( sqrt(2)*sqrt(5), sqrt(10) ));
(%o25) true
But if I multiply each expression by a constant, it then tells me they're…
John B
- 272
3
votes
1 answer
Complex equation in maxima
I rested on this tutorial.
After issuing the command with "solve" function:
%i2 solve((a-b-sqrt(-c^2+2*c*y-y^2+r^2))^2+(d-y)^2=2*r^2*(1-cos(e)),y);
The output is:
Why there is unknown quantity "y" on the right side?
P.S.
There's no "Maxima" tag,…
0x6B6F77616C74
- 687
2
votes
1 answer
Eliminate 2 variables from 3 equations with lots of parameters
I want to eliminate the variables x and y from these 3 equations in a way that all parameters appear in one equation without x and y:
A : (x-xa + ta*xsa)^2 + (y-ya + ta*ysa)^2 + (1-xsa^2-ysa^2)*(ta+oa)^2 - rod1^2 = 0;
B : (x-xb + tb*xsb)^2 + (y-yb +…
Dejay
- 23
2
votes
0 answers
Eigenvalues of $\pmatrix{1&1\\1&2}$
I use maxima for calculation eigenvalues of this matrix:
$$
\begin{bmatrix} 1 & 1 \\
1 & 2 \end{bmatrix}
$$
and I get $\frac{3\pm\sqrt{5}}{2}$ and then $[1,1]$ for some reason.
Namely:
(%i1) matrix(
[1,1],
[1,2]
);
…
George Sh.
- 129
2
votes
0 answers
How to calculate double limit in Maxima?
I want to calculate a double limit in Maxima. For instance,$$\lim_{(x, y)\to(0, 0)}\frac{x^3y}{x^6+y^2}$$
By the way, it is very interesting that I calculated it in "wolframalpha" yet it gave me the result $0$! I think the correct answer should be…
zhaoyin.usm
- 460
2
votes
1 answer
solving a non-linear (trigonometric) system of equations with two equations and two variables
I'm trying to solve the following system of equations:
$$l_1 \sin(\alpha) = l_2 \cos(\gamma) + l_3 \sin(\beta)$$
$$l_2 \sin(\gamma) + l_1 \cos(\alpha)=l_3 \cos(\beta) + l_4$$
with the unknowns $\beta, \gamma \in \Bbb R⁺$, the constants $l_1$, ...,…
user147623
- 21
2
votes
2 answers
Maxima CAS : distributing exponential terms while factoring
In maxima, I have an expression that is simplified to an expression similar to the form of:
tmp : c * d * (exp(a*t) - exp(b*t)) * exp(-a*t-b*t);
A typical simplification by hand would be to distribute the exponential term while leaving the $c$ and…
rj8
- 25