The art of manipulating an algebraic expression into the desired form.
3
votes
0answers
115 views
Solving recursion relations using Mathematica
I want to solve the recursion relation given in equation 2.7(a/b) on page $6$ of this paper. (..the initial seed is $F_1 = G_1 = 1$ and the functions $\alpha$ and $\beta$ are defined on page $5$ in ...
3
votes
0answers
93 views
Cyclic Noncommutative Multiplication
I work with traces of long matrix products and I want mathematica to employ the cyclicity when simplifying.
I use this redefinition of the non-commutative multiplication:
...
2
votes
2answers
283 views
How do I make Mathematica understand roots of unity?
Try the following:
z = Exp[2 \[Pi] I / 5]
Z = { { z, 1 }, { 0, 1/z } }
Simplify[MatrixPower[Z, 5]] //MatrixForm
Of course, this should return a 2 x 2 identity ...
2
votes
4answers
173 views
I need to move all the variables(x,y,z) to one side of an equality for the equation of a plane
I have 5(x-1)-(y+1)-(z+1)==0. If I use FullSimplify on it it returns
5x==7+x+y. This is not ...
2
votes
2answers
304 views
Eigensystem, Eigenvalue doesn't output nonreal eigenvalues
Basically I have a matrix and when I used either Eigenvalue or Eigensystem, it doesn't output nonreal eigenvalues, instead it ...
2
votes
2answers
160 views
What does MinimalPolynomial do?
suppose $x^5-x-1=0$, $y^7-y-1=0$ and $z=x+y$.
I want to find a minimal polynomial expression of $z$, such that $p(z)=0$, and the code can be written like this:
...
2
votes
1answer
86 views
How to transform equation
Is there any possible way to write this equation of 4th order as a system of two diff equations of second order with two new variables and to do that automatically? statespace command is transforming ...
2
votes
1answer
175 views
Showing the terms in a partial sum?
I am trying to get
s[n_]:=Sum[1/2^k,{k,1,n}]
to show me the actual terms involved in the $n$th partial sum and not just the sum itself. I've tried ...
2
votes
1answer
96 views
Is there any way to force Mathematica to collect a symbol in a polynomial?
Let's say that I have a polynomial like this:
a + b + c
Is there any way that I can get Mathematica to transform it to:
...
2
votes
2answers
124 views
Defining a non-commutative operator algebra in Mathematica
I am trying to develop a function(s) to do some commutator algebra to compute the enveloping algebra and ideals of a Lie algebra. For example if I have $SU(2)$ algebra generated by $L_i$ ($i=1,2,3$), ...
2
votes
0answers
66 views
How to expand terms within an integral? [duplicate]
Possible Duplicate:
Why aren’t these additions of integrals and summations equal?
I am trying to expand all the terms in a sum in order to apply assignment rules later, but can't figure out ...
1
vote
3answers
129 views
How to collect/reduce with respect to multiple variables?
I have this code:
a == b + c + d - e
Is it possible to collect or reduce this expression into this:
c + d == a + e - b
...
1
vote
1answer
125 views
Efficient method for factor expressions with square roots
Inspired from this, I tried factor following expressions, Mathematica takes a long time,
I couldn't even wait for it to finish. Maple calculating it takes about 5 sec. Can you recommend an efficient ...
1
vote
1answer
93 views
How do I expand a sum (again)? [duplicate]
Possible Duplicate:
How do I expand a sum?
How do I expand an equation in the given form:
$\sum _{i=1}^n -2 x_i \left(-a x_i-b+y_i\right)=0$
into this form:
$-\sum _{i=1}^n x_i y_i +a ...
1
vote
1answer
54 views
Differing behaviour of GeneratingFunction with different numbers of parameters
When given a single variable sequence, GeneratingFunction is automatically expressed in the most "direct form", for example,
...
0
votes
1answer
89 views
Showing steps Mathematica uses for Resolve[ForAll[…]] [duplicate]
I have a quite complicated function of 2 variables:
...
0
votes
1answer
255 views
Decoupling system of differential equations
Here I have one task and it is preparation for small exam. I solved it by hand for first case 1), but I need to check it in $Mathematica$ and to try to implement it for both cases 1) and 2) ...
0
votes
0answers
83 views
Need conditions for DSolve
If I have differential equation of fourth order with four solutions $\alpha _1,\alpha _2,-\alpha _1,-\alpha _2 $ where we have appearing the solutions in the form $e^{\text{$i\alpha $}_1 ...
-1
votes
1answer
175 views
Hyperbolic numbers and their polar form
How can I implement Hyperbolic numbers in Mathematica? How could I express their polar form? How could I calculate their power?
