Questions tagged [factorization]
Questions on factoring various types of mathematical expressions, with the use of Factor, FactorInteger, FactorSquareFree and related commands.
130
questions
0
votes
2answers
42 views
Removing all prime factors less than n from a number
Is there an efficient way to check a number x and remove all prime factors in the number which are less than some n? For example for n = 200:
...
1
vote
1answer
30 views
Factorizing non commutative terms
Is it possible to factor
a ** b ** c - a ** b ** d
as
a ** b ** (c - d)
?
I am using ...
1
vote
0answers
49 views
Why is the result of MMA polynomial mod factor different from that of this article? [closed]
Why the polynomial mod factor of MMA is not the same as the result of this SE answer:
...
0
votes
0answers
37 views
Reorganize an expression such that specific expressions are evidentiated/factored
I want to rewrite an expression in a way that specific variables appear factored, like (x+y)(x-y).
I know collect does something similar, but it only works if the factor you want to collect already ...
0
votes
0answers
35 views
Arrange a polynominal
I have a complex polynomial in more than ten line. I want to rearrange it by the power of another polynomial. For example, I have a powers of (1-A(x)/x^2) as a factor in it, and I want to sort the ...
1
vote
1answer
69 views
Generating summation formulas for factorized 4th moments
I'm interested in getting summation formulas for the following expression, in Einstein summation notation, with indices ranging from $1$ to $d$ $$c=X_{ik}M_{ijkl}X_{jl}$$
Here $M_{ijkl}$ is ...
2
votes
3answers
100 views
prime number digits less than n? [closed]
How can I ask mathematica to sieve with only primes with three-digit less than a given number. Thank you
for instance I want to find the prime factor of 1337. Thank you
1
vote
1answer
46 views
Factor[p(x), a, b] not working in Galois theory package
I have downloaded Galois theory package from http://library.wolfram.com/infocenter/Articles/2872/ and I currently have Mathematica v 12.0.
When I loaded the module (I needed to delete the blue stuff ...
3
votes
0answers
92 views
Why does Factor[] not factor -1?
Consider the two expressions -2a-2b and -a-b. The TreeForm[] looks identical
However, ...
3
votes
2answers
118 views
Group symbols by a given partition of the occuring symbols
I have following expression
$$-3 b_{\sigma _d}-3 b_{\sigma _v}-b-b_2+2 j-2 j_2-2 j_3+2 j_6+12$$
Mathematica input
...
1
vote
1answer
42 views
Factorization of multivariable polynomial
I have a polynomials of multivariable for instance: $P=yx+2^4xy+3+5^2xz+3^4zx $
Now I would like to do the following:
extract those temrs that only has $z$ .
extract terms that only has $y$
express ...
3
votes
2answers
64 views
Simplify the cubic root of cube assuming real and positive variable
I know this is very simple but I couldn't find a reasonable solution for it in the archive. It seems that my Mathematica does not take into account the assumptions when it wants to simplify the ...
0
votes
1answer
58 views
Factoring Algebraic Expressions [closed]
Say I have an expression
$$x = L-(L-N)y^2(1+AB)$$
is there a way I can use mathematica to put the expression into the form
$$x = M(1+\sigma B)$$
where $M$ and $\sigma$ are lumped terms?
-1
votes
1answer
95 views
Mathematica not converting $A A$ to $A^2$ [closed]
I'm trying to factor a large polynomial $p$ in Mathematica. When running $\text{Factor}[p]$, however, one of the factors is $-Aq + A^2 Aq + 2 A q - 2 A Aq^2 q - Aq q^2 + A^2 Aq q^2$. This is clearly ...
0
votes
1answer
42 views
0
votes
1answer
81 views
Approximate Simplify (or factorization) [closed]
Suppose I have
$$(2+2a+a^2)(RC)^2 + RC(5+2a)t+t^2$$
I can factor $(2+2a+a^2) = 1+(1+a)^2$. When I assume $a \gg 1$ then $1+(1+a)^2\approx (1+a)^2$. Then I can write:
$$(a+1)^2(RC)^2 + 2RC(5/2+a)t+t^...
0
votes
2answers
62 views
Factor not factoring quadratic polynomial [closed]
I'm using version 11.3
Expand[(Sqrt[2] - t)^2]
2 - 2 Sqrt[2] t + t^2,
but
...
0
votes
1answer
31 views
Multiple collection of terms
As the title suggests, I am interested in how to perform multiple collection of terms. This means that for a given expression a*x*b + c*x^2*d+a*x*k, I want to ...
0
votes
1answer
74 views
Can Mathematica factor out constrained functions when it simplifies? [closed]
For example, distributions in the exponential family take a likelihood function of the form $$f(x)g(\theta)e^{\phi(\theta)^{T}u(x)}$$. Given some ugly algebraic expression, can I tell mathematica to ...
7
votes
2answers
335 views
Efficient code for minimum integer with given number of factors
I'm seeking an efficient implementation of the number-theoretic function giving the smallest integer $n$ that has exactly $k$ factors (not necessarily prime):
...
0
votes
1answer
45 views
Factoring out a parameter
I have some function:
f[a_,b_,c_]:=Sqrt[a^2+b^2+c^2]
Is there a way that I can factor out parameter (variable) b like this:
<...
5
votes
3answers
219 views
2
votes
0answers
60 views
What Transforming Functions does Simplify use? [closed]
Edit: Turns out in my use case I should use ComplexExpand instead of Simplify. My broader question is still worth answering, but ...
0
votes
2answers
48 views
Numerical output using Select and FactorInteger
I have concocted a function from other peoples examples to find the powers of two in a prime decompostion, in the example below its $2^2=4$ gives {2,2}.
...
3
votes
1answer
96 views
Factoring expression with rational powers
To any great Mathematica-matician. Why Mathematica can’t factor this
Factor[-1+x^(2/3)]
I know that Factor mainly targets ...
0
votes
1answer
55 views
Generate terms that can be pre-calculated (optimisation) [closed]
(copyable version)
v -> -2 g/j + s/(2 j) + s^2/(4 g j) + t/2
We are working with many equations similar to the one above. We are using CForm to move these ...
0
votes
0answers
36 views
0
votes
1answer
151 views
0
votes
1answer
111 views
Factoring the Quadratic Polynomial $a x^2 +b x +c$
I want mathematica to factor the quadratic polynomial $a x^2 +b x +c$ into this standard form $a(x-r_1)(x-r_2)$ with $r_1=-\frac{b}{2a}+\frac{\sqrt{b^2-4ac}}{2a}$ and $r_2=-\frac{b}{2a}-\frac{\sqrt{b^...
0
votes
0answers
92 views
1
vote
2answers
112 views
Polynomial factorization over number fields that are extensions of the rationals [duplicate]
I want to factor some polynomials into irreducible terms, but not only limited to integers.
If I evaluate Factor[x^4+1], it will generate nothing.
But in fact I ...
3
votes
2answers
267 views
Factor out constant terms with square roots
I would like to use FactorTerms to factor out constant numerical terms out of an expression, this works as follows:
...
0
votes
0answers
123 views
Prime factorization of numerator and denominator of rationals
I am completely new to Mathematica and I need some help (sorry if it is trivial, but I haven't found the answer). I have this code
...
-1
votes
2answers
198 views
How to use Replace using some factor from exponent in the replacement rule
Is it possible to directly factor out some exponent to some specific form and replace by some rule?
For example I have
exp1=x^4
I want to use replacement
<...
2
votes
1answer
85 views
How to factor exponents?
Given
Exp[a+b]
I want to turn it into
Exp[a] Exp[b]
How can I achieve this in general? That is I am looking for more or ...
24
votes
2answers
2k views
Code I get from wolfram isn't working in mathematica
I need to perform the factor as shown here
factor(s^5+32s^4+363s^3+2092s^2+5052s+4320)
https://www.wolframalpha.com/input/?i=factor(s%5E5%2B32s%5E4%2B363s%5E3%...
4
votes
1answer
174 views
Checking whether one polynomial is a factor of another
Given two polynomials, $f(x)$ and $g(x)$, I need to determine whether $f(x)$ is a factor of $g(x)$. Seems simple enough, and the way I initially did it was just checking if $f(x)$ is in a FactorList ...
2
votes
1answer
51 views
Advanced Trivariate Polynomial With Integer Coefficients Manipulation
Suppose $$f(a,b,c)=\left(a+b+c \right)^{2}-2 \left(a^{2}+b^{2}+c^{2}\right)-4abc$$ and $g(a,b,c)$ is some polynomial of total degree 6 with integer coeffients.
I want to find a polynomial $h(x)$ with ...
1
vote
1answer
151 views
How can Mathematica take a prefactor in front of the relation
I have the following term in an expression
$$\frac{q_B' \sin2q_B}{P_B Q_B^2}(2 Q_B P_B - \sin^2 q_B \Pi_B) q_1 q_1'$$
the prime denotes differentiation w.r.t a coordinate. Some additional ...
2
votes
1answer
70 views
wrong LUDecomposition - first row is the last one
I am having a huge problem with my Mathematica notebook.
I am trying to evaluate LUDecomposition and it keeps getting wrong - when I multiply ...
4
votes
2answers
337 views
How to convert an expression a + b*Sqrt[c] to a simpler format?
Example: we have the following expansions:
...
1
vote
2answers
58 views
how to extract the elements of the output of FactorInteger function? [closed]
For example, when I evaluate
FactorInteger[265^2 - 87463]
the output is
{{-1, 1}, {2, 1}, {3, 1}, {13, 2}, {17, 1}}
I ...
1
vote
1answer
44 views
Factor by a specific literal (i.e factor by $s^N$ a transfer function)
I've found the closed loop transfer function but I want to know the order of it. So, the idea is to factor the denominator by the highest exponent of s to get an expression like this one:
$$
l(s)=g(s)...
0
votes
1answer
25 views
Scalar multiplication of an expression containing equality [duplicate]
Suppose:
expr=(a x + a y==0);
expr/a
(*Out:=(a x + a y==0)/a*)
I want a eliminated to obtain ...
14
votes
4answers
715 views
Why Mathematica can not factorize polynomials over algebraic fields?
I noticed that a factorization over algebraic fields is useless in Mathematica. Here is the example over the field containing I*Sqrt[3]:
...
8
votes
2answers
288 views
Factor fails on a simple expression
Bug introduced in 9.0 and fixed in 11.3.0
Consider the following symbolic expression (all the c's are undefined)
...
1
vote
1answer
158 views
Factor Recursively
I'm looking for a way to factor a polynomial recursively. Consider the following example:
expr = Expand[(a + (b + c)^2)^2];
Factor@expr
Simplify@expr
While the ...
5
votes
1answer
303 views
Factor a bivariate polynomial treating one variable as constant
I have a polynomial in two variables, e.g.
16384 k^4 - 20480 k^2 + x^4 - 320 k^2 x^2 - 128 x^2 + 4096
I'd like Mathematica to factor it as
$$(x^2 - f(k))(x^2 - g(...
6
votes
2answers
149 views
How to factorize polynomials into “shortest possible” pieces
I am using Factor a lot in my work, it is extremely versatile and efficient, except for one aspect. Example: ...
5
votes
2answers
127 views
Why is Mathematica factoring I out of real expressions, and how can I reverse it?
I am doing some complicated series expansions involving integrals and whatnot, but everything is real the whole time (and I specify that using Assumptions at every ...
