# Tagged Questions

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34 views

### Pulling out an exponential function from the a general equation [on hold]

How can I pull out an equation from the general equation of motion of a system in Mathematica ? Actually, I am trying to solve the equation of motion of a spherical shell, therefore, I am trying to ...
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102 views

### Trouble factoring an expression

I've got the term $-1 + 2b^2 + 2b\sqrt {b^2-1}$ appearing several times within several larger expressions. It is easy to see that this expression factors into ${(b+\sqrt{b^2-1})^2}$, but when I use <...
39 views

### Removing 1 from FactorInteger

I am trying to remove the factor of 1 out of FactorInteger, so that I can search though numbers with common factors easier. Here is what I have already: For[n = 0, n < 10, n++; b = FactorInteger[...
49 views

### Efficiently create a list of factors of consecutive integers

I'm interested in a scalable (read: sublinear) algorithm for producing the list of integer factors of each integer from 1 to n. ...
42 views

### Selecting terms on only one variable from a multiple-variable expression

Say I have a polynomial like $x y^2+15x^2 y+x+3y+10$ and I want to obtain, say, only the coefficient in $x$ alone, namely a 1. Using ...
34 views

### ApartSquareFree function

I have a doubt concerning the ApartSquareFree function in Mathematica. Roughly speaking, it is supposed to compute the partial fraction decomposition of a rational function $h/g$ with the denominators ...
95 views

### How to efficiently find only the rational roots of a rational complex polynomial?

I need to find all the rational roots of a bunch of high-order polynomials with rational complex coefficients. Is there an efficient way to do this? My best effort on an example polynomial: ...
60 views

### Factor Integer function with variable arguments

I'm trying to build a function that gives the highest power of a prime factor of a number. The following works perfectly: ...
144 views

### Collect/Factor a fraction

Is there a way to tell Mathematica to factor things only containing a specific combination of a fraction, example: $$\tag{1}f = \frac{a+m\cdot a+b+n\cdot b+c+k\cdot c+d+e}{ab}$$ Is there a way to ...
98 views

### Can Mathematica factor a polynomial over an algebraic number field?

If I input: Factor[x^2 + x + 1, Extension -> Sqrt[-3]] Mathematica returns: ...
53 views

### Timing and ListPlot

I am currently trying to examine the Timing function as it relates to generating primes and factorize large integers. What I want to do is to visualize how time ...
66 views

### Finding a seven-digit number with all of its prime factors less than 20? [closed]

How can I find a seven-digit number with all of its prime factors less than 20? I have no clue how to do this.
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### Formatting the prime factorization of expressions

I have a series expansion in $x$ and $a,b$ are constants which I want to type in $\LaTeX$. But the numbers/integers are pretty large (have a lot of digits) so it becomes a bit messy in $\LaTeX$. ...
323 views

### Represent a positive integer as a product of its factors

I am trying to illustrate some simple ideas with exponents. I can manually express something like $5^4$ as $5 \cdot 5 \cdot 5 \cdot 5$, but wondered how to get Mathematica to do that for me. I ...