422 reputation
411
bio website in.another.dimension
location Athens, Greece
age 46
visits member for 3 years, 5 months
seen Jul 24 at 9:41

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


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
Apr
14
answered To find the logarithm of $1728$ to the base $2 \sqrt{3}$
Mar
12
comment Weird math question in ACT prep
What might be misleading? That you say "fraction" while you probably mean "proper fraction"?
Mar
11
comment Weird math question in ACT prep
Why do you think that a and b are necessarily fractions? "Fraction" does not mean an (absolute) value of less than 1.
Feb
25
comment Prove that $ 1 + \dfrac{1}{2} + \dfrac{1}{3} + \cdots + \dfrac{1}{n} = \mathcal{O}(\log(n)) $.
I agree that it may be confusing but it's used in many Computer Science books.
Feb
25
comment Prove that $ 1 + \dfrac{1}{2} + \dfrac{1}{3} + \cdots + \dfrac{1}{n} = \mathcal{O}(\log(n)) $.
@Code-Guru The = in notation f(n) = O(g(n)), does not stand for equality.
Feb
12
awarded  Civic Duty
Jan
12
awarded  Citizen Patrol