435 reputation
412
bio website in.another.dimension
location Athens, Greece
age 46
visits member for 3 years, 9 months
seen 21 hours ago

Interests: math, programming and games, not necessarily in that order.


Oct
3
comment Calling all genius: $p_1^{e_1} p_2^{e_2}…p_k^{e_k}=e_1^{p_1} e_2^{p_2}…e_k^{p_k}$
There's also 2^3 * 3^2. And (2^17 * 17^2) * (3^31 * 31^3), ...
Oct
3
comment Quick and painless definition of the set of real numbers
Continued fractions might be a good idea.
Aug
26
comment How many ways to generate unique multiplication result from given set?
There are 5 elevens, 5 sevens, 4 fives, 3 threes and 3 twos. And there are in total 5 distinct primes in the set. The (-N-1) calculation is needed because you don't include the "one factor" and the "zero factor" multiplications.
Aug
26
comment How many ways to generate unique multiplication result from given set?
If pi are the distinct prime numbers in the (multi)set and ni are the number of times the respective pi appears, then the result is Product(ni+1) - N - 1 (oh and N is the number of disticnt primes.) So for you last example would be (5+1)*(5+1)*(4+1)*(3+1)*(3+1) - 5 - 1 = 2874
Aug
26
comment How to show the convergence of this infinite series: $\frac{x}{1+x}- \frac{x^2}{1+x^2}+ \frac{x^3}{1+x^3}\dots$
@mike the question has: Given: 0<x<1
Jul
31
revised Are all fields vector spaces?
grammar corrections. Not sure about the phrasing of the last sentence, seems still wrong.
Jul
31
suggested suggested edit on Are all fields vector spaces?
Apr
4
awarded  Excavator
Apr
4
revised What does $2^x$ really mean when $x$ is not an integer?
correction on exponents formula
Apr
4
suggested suggested edit on What does $2^x$ really mean when $x$ is not an integer?
Mar
23
comment Relationship between logarithms and harmonic series
What is log(x)n? Is it log of n with base x? Or logx (and in what base?) multiplied by n?
Nov
4
comment Is 10 closer to infinity than 1?
Perhaps you can add a section on Surreal Numbers where we have both the order-theoretic approach and addition-subtraction between infinite numbers. And the (simplest) infinite number ω is well defined and so are ω-10 and ω-1 and we can prove that ω-10 < ω-1.
Oct
27
comment Infinite groups of order $2$
Why don't you provide your attempt to solve it?
Aug
20
comment math fallacy problem: $-1= (-1)^3 = (-1)^{6/2} = \sqrt{(-1)^6}= 1$?
And I guess you mean that the main issue is not the (1)^3 = (-1)^(6/2) equality but the next one with the root. But some readers may be confused that you mean the second equality and not the third.
Aug
20
comment math fallacy problem: $-1= (-1)^3 = (-1)^{6/2} = \sqrt{(-1)^6}= 1$?
I would add that it holds when b and c are integers but not necessarily when one (or both of them) aren't.
Aug
16
awarded  Yearling
Aug
16
answered Prove $2^{135}+3^{133}<4^{108}$
Jun
11
comment how to know of the number of real roots?
Which is what the OP asked: "polynomial to have exactly three distinct real solutions"
Jun
11
comment how to know of the number of real roots?
If with "3 distinct roots" you mean the roots to be 3 distinct numbers a, b, c and one of them a double root, then it's possible.
May
6
awarded  Caucus