For questions concerning the open source computational software program Maxima.

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Software of symbolic computation

In Riemann geometry, there are many complex compute , for example in the picture below.If want to get 2.5.16 it needs about 3 page to compute. And it is easy to mistake because it is complex. But the ...
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Maxima: Solve for non-atomic expression

Function: solve(expr) Solves the algebraic equation expr for the variable x and returns a list of solution equations in x. ... x may be a function (e.g. f(x)), or other non-atomic expression ...
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3answers
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Maxima: unable to solve Lagrangian

I think this is may be more of a technical issue than a mathematical issue. I don't know... I have the following function I want to maximize: $$\arg\max_{x,y}\ U(x,y) = \frac{1-e^{-x}}{2} + \frac{1-...
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46 views

Multisets in Maxima

I've been trying to figure out how to create multisets in Maxima and a function that produces the cartesian product of two multisets. I've tried using lists and row matrices. For example, I can ...
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1answer
29 views

How to simplify following logarithmic expression with wxMaxima [closed]

So the expression is: \begin{equation} ln(\frac{1}{3x^2})+ln(3)+2ln(x),\ when \ x>0. \end{equation}
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Maxima 'solve' doesn't recognize marginal and real number

I tried a basic combined number equation: a + b i = 1 + 2 i -> a=1, b=2 In Maxima, I thought it should be like: declare(a, real)$ declare(b, real)$ a+b*%i = 1 + 2*%i; solve(%,[a,b]); However, she ...
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0answers
56 views

Solving for a $v$ in $\sum a_i e^{b_i (z^2+d_i) + c_i v}$

I have an equation in complex domain, $$P(e^u,e^v)=\sum_{i=1}^{N} a_i e^{b_i u + c_i v}=0 \;\;\;\text{(A)}$$ and by redefining, at the roots (I'm only showing work for one root), the first ...
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1answer
41 views

Lagrange Interpolation With Expand Returning a Wrong Result in Maxima

Recently I've been experimenting with polynomial interpolation to create a simple model of a battery discharge curve. My mathematics knowledge is a bit limited and this is part of my quest to find ...
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1answer
94 views

factorizing polynomials over finite fields using maple and maxima [closed]

Can you factorize polynomials over certain finite fields using maple or maxima, and if so, how?
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41 views

Inserting one equation into another using mathomatic?

Besides my symbolic math being a bit rusty, I'd like to harvest mathomatic's (or any other open source tool you might kindly refer me to) powers to insert one ...
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1answer
97 views

in Maxima how to get Fourier transform identity ($\mathcal{F}^{-1}(\mathcal{F}(f)) = f$)?

I'm currently trying to figure out something related to signal processing and wanted to draft Maxima for the task. As a starting point I tried to make Maxima evaluate the identity $\mathcal{F}^{-1}[\...
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1answer
28 views

Taylor Series substitution giving different answers

I was given the function: $f(x) = 1/(1+x)^2$ and its Taylor series: $1 - 2x + 3x^2 - 4x^3 + \cdots$ In order to get the Taylor series for the closely related function $1/((1/2)+x)^2$, I simply ...
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1answer
93 views

Finding value of (y) of logarithmic equation given (x)

I have an logarithmic equation $$\left[ r=a\,e^{b\,\theta} \right] $$ And I plot it to visualise it (see plot below). I can tell by the plot when (t=0), x1=0, y=1 (point AA) but how can I find out ...
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0answers
30 views

Solving for 1 varible while missing two variables in non linear sin wave equation:

I can solve for y for the equation below but how do I go about solving for other freq(x) values? Example equation below: $$\left[ y={\it amp_1}\,\cos \left(2\,{\it freq_1}\,\pi\,t+ {\it phase_1}\...
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Maxima: How to make rule substitutions?

I have been using Maxima to do some algebra and I ended up with a formula that is defined by (sqrt(1-rho)s%e^(-C^2/2)*(N-D))/(sqrt(2)sqrt(%pi)(1/2-erf(C/sqrt(2))/2))-(sqrt(1-rho)s%e^(-C^2/2)*D)/(sqrt(...
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0answers
64 views

Maxima CAS and programmatically defining a function with a variable number of arguments. -?

This is a very simplified question of what I had asked. In Maxima, how can I include a for-loop counter in the left-hand side of an assignment, e.g. ...
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66 views

Integration of gaussian divided by square root of -log(1-x) - does the Meijer G function help me?

After some modelling of my data I came to the following integral: $$ \int_0^{1}\dfrac{exp{\left(-\dfrac{\left(x-\mu\right)^2}{2\,\sigma^2}\right)}}{\sqrt{-\log{(1-x)}}} $$ I cannot solve it, and ...
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1answer
69 views

How can I use Maxima to obtain individual iterations of Newton's method?

I'm using Maxima with the following calculation: ...
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2answers
48 views

Finding the area under the first three curves

I am asked to calulate the area under the first three curves of the function $$\frac{1 + \sin(2 x \pi)}{1+x}$$ on the interval $[0, 10]$. I know how to integrate, but I don't know how to find the ...
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0answers
105 views

How to solve 3D vector equations symbolically?

I'm trying to solve the following system of equations for $\vec{X}$: $$ \vec{A} \cdot \vec{X}=d_1 $$ $$ \vec{B} \cdot \vec{X}=d_2 $$ $$ (\vec{A} \times \vec{B}) \cdot \vec{X}=(\vec{A} \times \vec{B}) \...
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1answer
51 views

Interpretation maxima %rnum_list

I don't really understand how to interpret the output of the function solve() in Maxima. For instance, I have to sove this: ...
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82 views

How to show individual summation terms when calculating sum with maxima or wxmaxima

I have a question about using maxima. Supposing I have the following sum: sum (i^2, i, 0, n); \[\sum_{i=0}^{n}{i}^{2}\] and say I use it to sum up to 4: sum (i^...
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1answer
2k views

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 ...
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1answer
143 views

Simplifying with wxMaxima

I have this expression in wxMaxima: ...
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1answer
240 views

Maxima can't solve relatively simple equation.

I'm trying to solve this equation for x, with Maxima: What I am doing wrong here? ...
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180 views

Speeding up the convergence of a series

I want to speed up the convergence of a sequence 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 ...
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1answer
165 views

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: ...
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1answer
78 views

what is wmaxima doing here?

there is a problem in the calculus book I'm reading that has a function f (see below) that is not continuous at (0,0). the book says that despite this fact, both partial derivatives still exist there....
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0answers
99 views

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: ...
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0answers
41 views

Inequality testing using numerical substitution

I am seeing that CASs might fail in inequality testing, so a vague approach can be to test them for very large number of values sampled at some interval and it might give at least some approximation. ...
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158 views

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 ...
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1answer
598 views

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 $\beta$, $\gamma$ $...
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Multiple Functions for probability

$$Pr(V1) =p + p \times Pr(V3)$$ $$Pr(V2) =p \times Pr(V1)$$ $$Pr(V4) =p \times Pr(V2)$$ $$Pr(V3) =q + q \times Pr(V3) + q \times Pr(V1) +q \times Pr(V2)$$ How would I solve for $Pr(V4)$ in maxima ...
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1answer
186 views

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 ...
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1answer
40 views

In the software Maxima, how to get the k-th element in a list

I looked up the manual and only find functions first([1,2,3]) second([1,2,3]) third([1,2,3]) ... how to get an element by an index?
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1answer
118 views

Maxima CAS , Statistic Formula with Maxima

I am working on my graduation project which study sport players' performance. I have collected the data and finished all the surveys but then I am stuck at using the following formula to calculate ...
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1answer
286 views

Typing in zeta function using maxima

How do I type the symbols in for this formula into maxima (it's the zeta function)? I'm looking for the proper symbols/keys/text sequence. Example in latex to get the zeta symbol you type in \zeta ...
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2answers
68 views

Polynomial Simplification

I've been working with Maxima and its thrown me an expression like this $$ \left( \left( \left( 6\,{w}_{1}-6\right) \,{p}_{2}-6\,{p}_{1}\,{w}_{1}+6\,{p}_{0}\right) \,{w}_{2}^{2}+\left( \left( 6\,{w}_{...
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1answer
187 views

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 ...
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2answers
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simplification in maxima : removing terms with “small” contributions from an expression

Often in applied situations there are simplifications for small x. For example $x<<1$ and $x/(1+x) \approx x$ or $(x + x^2)/c \approx x/c$. Is there a way in Maxima to carry out these sorts ...
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2k views

How to plot circle with Maxima?

I cannot get equitation plotted Expression: f1: (x^2) + (y^2) = 9; I try this command: ...
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1answer
50 views

Find out the design of a cylinder

A cylindrical can is made from tin.If it can be contain $1000 m^3$ liquid inside it then what is the parameter of design if we are oblige use the minimum amount of tin. My teacher give me this and say ...
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203 views

Grassman algebra and Maxima

How can I setup the Maxima atensor package for manipulating Grassman algebra ? The documentation just mentions a grassman option for initializing the atensor package (init_atensor). I can't find any ...
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158 views

Is maxima able to solve such integral? If no, what can?

I was sitting and decided to get a precise magnetic field equation from Bio-Savar law, and got out this handsome formula (by the way, is there a way to use ASCIIMath here on Mathematics?): $$ \vec{B}(...
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2answers
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Maxima not finding solution to simultaneous equations when one exists

I am using Maxima to solve the following equations simultaneously: $$ 990=e^x \tag{1}$$ $$ 590=e^{(x - 10y)} \tag{2}$$ however the command ...
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1answer
71 views

How to force wxMaxima to calculate subfunctions?

I have the following code: ...
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2answers
883 views

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: ...
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Flatten kronecker product in CAS?

I am a new user of Maxima, and I need to trace the elements of a big messy kronecker product of symbolic matrices. I tried the following to get my feet wet, but I don't get a simple, flat matrix -- ...
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1answer
1k views

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) ...
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2answers
2k views

How to compute the upper incomplete gamma function in MATLAB?

I need to compute the upper incomplete gamma function $$\Gamma(0,i\pi K)$$ where $i=\sqrt{-1}$ and K is real. I have some basic idea about what this "special function" is, but am not used to using it....