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Sep
25
awarded  Popular Question
Sep
19
comment Can any two irrational numbers NOT of the form (m+A) and (n-A) be added to produce a rational number?
Any pair of irrationals whose sum is rational can be turned into something of the form you are trying to avoid. (Of course, there are usually more interesting interpretations of the two numbers than through this form)
Sep
18
revised Why can't a set have two elements of the same value?
deleted 186 characters in body
Sep
17
revised Why can't a set have two elements of the same value?
deleted 60 characters in body
Sep
17
revised Why can't a set have two elements of the same value?
deleted 10 characters in body
Sep
17
answered Why can't a set have two elements of the same value?
Sep
16
comment Are Mersenne prime exponents always odd?
Why is this question generating so many upvotes?
Sep
14
accepted How many points does it take to identify a low-order polynomial in $\mathbb{Z}_N$?
Sep
14
accepted How does the max of $\prod_i a_i$ work?
Sep
14
comment How does the max of $\prod_i a_i$ work?
Great, thanks! I did leave out additional conditions.
Sep
13
comment How does the max of $\prod_i a_i$ work?
That should hold for the $S$ I have defined in statement 1. In statement 2 $a$ is big enough so that everything is positive.
Sep
13
revised How does the max of $\prod_i a_i$ work?
edited title
Sep
13
revised How does the max of $\prod_i a_i$ work?
added 118 characters in body; edited title
Sep
13
asked How does the max of $\prod_i a_i$ work?
Sep
13
comment How do you maximize a polynomial over an integer domain?
Whoops, sorry! No the alpha arent integers
Sep
13
comment How do you maximize a polynomial over an integer domain?
@JohanLöfberg In the order of $N=20$ if not larger.
Sep
12
revised How do you maximize a polynomial over an integer domain?
added 3 characters in body
Sep
12
comment How do you maximize a polynomial over an integer domain?
Is there an obvious proof for the 'as close together as possible' statement? My rounding result got me scared that coarse inputs make error blow up. (Objects like Wilkinson's polynomial might also be relevant)
Sep
12
revised How do you maximize a polynomial over an integer domain?
edited title
Sep
11
comment How do you maximize a polynomial over an integer domain?
As I have mentioned in my post, rounding might not be optimal. By my approach, floor and ceiling will do even worse.