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1824
bio website freelancersunite.net
location Stevensville, MD
age 26
visits member for 3 years, 11 months
seen 2 days ago
learn everything you can in life, for all you know theres a test at the end...

Aug
14
awarded  Nice Question
Jul
11
reviewed No Action Needed How to define a triangle
Jul
2
awarded  Curious
Jul
2
reviewed Reviewed comparing two sets in set theory
Jul
1
reviewed No Action Needed The number $2^{29}$ has exactly $9$ distinct digits. Which digit is missing?
Jul
1
reviewed Reviewed Maximum term of (a + b) ^ n
Jun
23
reviewed Reviewed Is this a quadratic equation?
Jun
23
reviewed Reviewed What does | mean in this exercise? And how do I solve it?
Jun
12
reviewed Reviewed Find minimum x value from a polar function
Jun
12
revised Laurent series and residue of $f(x)=\frac{1}{1+e^z}$
fixed the series in the second formula
Jun
12
suggested suggested edit on Laurent series and residue of $f(x)=\frac{1}{1+e^z}$
May
8
reviewed Reviewed Limit Creating Functor
May
5
comment Finding the Norm of an element in a field extension
many thanks for the references.
May
5
comment Finding the Norm of an element in a field extension
Thanks for your help by the way. Is there a good reference for information about the resultant? I've been reading wikipedia/mathworld but would love to see something more in depth.
May
5
accepted Finding the Norm of an element in a field extension
May
5
comment Finding the Norm of an element in a field extension
I've figured out what I was doing wrong in mathematica. I tried to define the Polynomials and then call "Resultant[Q[x],P[x],x]" and for some reason it doesn't like that and returns 1. I've got it working now.
May
5
comment Finding the Norm of an element in a field extension
@ccorn ; it's related but they've chosen a root of p($\alpha$) whereas I'm looking for a way to find the norm without making that choice.
May
5
comment Finding the Norm of an element in a field extension
I'm trying to understand your answer so I've tried a concrete example. Let $\alpha$ solve $1 + x + x^2 + x^3 + x^4 == 0$ and then let $\beta \in \mathbb{Q}(\alpha)$ be given by $\beta = 1+23\alpha$. So from what I understand I have $q(X) = 1+23X$ and $p(X) = 1+X+X^2+X^3+X^4$ and I should look at Res($p,q$) which I get to be 1 (using mathematica to calculate the resultant of the polynomials defined above) whereas mathematica says "AlgebraicNumberNorm[1 + 23 $\alpha$]] = 268181". I think I've missed something in your answer.
May
5
asked Finding the Norm of an element in a field extension
Apr
29
asked Minimal polynomial for sum of algebraic numbers.