bio | website | quora.com/Alon-Amit |
---|---|---|
location | Los Altos, CA | |
age | 46 | |
visits | member for | 5 years, 9 months |
seen | 2 days ago | |
stats | profile views | 4,060 |
Dabbler in things.
Mar 9 |
revised |
If $2^x $and $3^x$ are integers, must $x$ be as well?
Added wikipedia link |
Mar 9 |
comment |
If $2^x $and $3^x$ are integers, must $x$ be as well?
Very interesting! Just to make sure I understand - does this generalize the "n^x for all n" version only, or can it be applied to "2,3,5" and "2,3" as well? |
Mar 9 |
accepted | If $2^x $and $3^x$ are integers, must $x$ be as well? |
Mar 9 |
comment |
If $2^x $and $3^x$ are integers, must $x$ be as well?
@jef: the best hint I can think of is "calculus of differences". |
Mar 9 |
awarded | Good Question |
Mar 9 |
awarded | Nice Question |
Mar 9 |
asked | If $2^x $and $3^x$ are integers, must $x$ be as well? |
Mar 8 |
comment |
Criteria for accepting an invitation to become an editor of a scientific journal
I think the following criterion is somewhat rational: when the publishers of a new journal solicit help for the editorial board, they understand that people will be asking themselves exactly the kind of question you are asking. Therefore they make an effort to establish the reputation of the new journal in the email - providing references to editors who have already joined, explaining why a new journal in this field is called for, contrasting it with similar journals etc. On the other hand they don't say anything about the submission process since this is completely irrelevant. |
Mar 6 |
answered | Teaching Methods and Evaluating them |
Mar 3 |
comment |
Diameter of m-fold cover
I must be missing something - why do you say that L(bi) < L(ai) in the second paragraph? Why is that a strict inequality? |
Feb 19 |
revised |
How should I approximate real numbers by algebraic ones?
deleted 1 characters in body |
Feb 17 |
comment |
Examples of eventual counterexamples
Pretty impressive! Specifically, gcd(n^17+9, (n+1)^17+9)=1 for all n up to some crazy explicit number, the number of digits of which I couldn't even count. This begs the question, is there a reasonably simple proof that this gcd isn't always 1? |
Feb 17 |
comment |
Describe a tree by junctions
Perhaps it's just me, but I'm completely unable to parse this. Could you perhaps explain what you mean by sectors, infinite branches, junctions and what is the tree? A picture, perhaps? |
Feb 17 |
comment |
Mathematical solution for a two-player single-suit trick taking game?
@Sam, I just corrected that. |
Feb 17 |
revised |
Mathematical solution for a two-player single-suit trick taking game?
added 1 characters in body |
Feb 13 |
comment |
Dividing a square into 5 equal squares
That's really neat! |
Feb 12 |
comment |
Unique factorization in polynomial rings
Read literally, one cannot even state (let alone prove) #1 without having a notion of a "field" which I imagine would disqualify both Euclid and Guass. The first general definition of a field is by Weber (1891) according to Wikipedia. Earlier notions were things like a subfield of the complex numbers. I'm not sure if the question assumes that the prover knew they were working over general fields, or rather looking for proofs which are essentially independent of the base field (even if they were formulated over a specific field). |
Feb 12 |
comment |
What are the most overloaded words in mathematics?
That's right - thanks! |
Feb 10 |
comment |
When a formal power series is a rational function in disguise
Isn't it "when the coefficients satisfy a linear recursion of finite length"? |
Feb 10 |
comment |
Which graphs are Cayley graphs?
One comment on the non-directed case: Every connected regular graph of even degree is a Schreier coset graph. This isn't quite a Cayley graph but a natural generalization of one, so I thought you might find this interesting. |