Reputation
Next privilege 2,000 Rep.
Edit questions and answers
Badges
4 22
Newest
 Nice Answer
Impact
~5k people reached

48m
comment Prove that there is a real number $a$ such that $\frac{1}{3} \leq \{ a^n \} \leq \frac{2}{3}$ for all $n=1,2,3,…$
@IlayaRajaS, peace! :) Sorry that a certain level of frustration was present while we were discussing at your answer. When questioned, sometimes its good to patiently see if there is something true in the challenger's claim, at any cost even if its true or false, you earn more knowledge.
2h
comment Prove that there is a real number $a$ such that $\frac{1}{3} \leq \{ a^n \} \leq \frac{2}{3}$ for all $n=1,2,3,…$
@Pieter21, what you just said sparked this idea, if its strict inequality, I don't know if its useful: (above) $\iff \frac{1}{3}\times10<(last\ digit\ of\ \lfloor a^n\times10\rfloor)<\frac{2}{3}\times10$. Something tells me this may be useful, fact that we have tools to finds the last digit of a number!
2h
comment Prove that there is a real number $a$ such that $\frac{1}{3} \leq \{ a^n \} \leq \frac{2}{3}$ for all $n=1,2,3,…$
@Pieter21, isn't it obvious?
6h
comment Check for basis of a matrix
For some basic information about writing math at this site see e.g. here, here, here and here. Please consider re-writing your post.
6h
awarded  Nice Answer
6h
comment Solve the following equation: $\sqrt {x + \sqrt {4x + \sqrt {16x + \sqrt {64x + 5}}}} - \sqrt x= 1$
True that! When I saw the edit I was like, $\sqrt x$ just killed all the fun! The question does have a certain beauty worth admiring!
6h
comment Solve the following equation: $\sqrt {x + \sqrt {4x + \sqrt {16x + \sqrt {64x + 5}}}} - \sqrt x= 1$
@Soke, and then the little villain ($\sqrt x$) creeps in and kills all the fun!
6h
comment Solve the following equation: $\sqrt {x + \sqrt {4x + \sqrt {16x + \sqrt {64x + 5}}}} - \sqrt x= 1$
@Juxhin, just missing a $\sqrt x$ gave enough training for the brain!
6h
answered Solve the following equation: $\sqrt {x + \sqrt {4x + \sqrt {16x + \sqrt {64x + 5}}}} - \sqrt x= 1$
6h
comment Solve the following equation: $\sqrt {x + \sqrt {4x + \sqrt {16x + \sqrt {64x + 5}}}} - \sqrt x= 1$
@Soke, won't work. Answer is one of the solutions, accompanied by another 7.
6h
comment Solve the following equation: $\sqrt {x + \sqrt {4x + \sqrt {16x + \sqrt {64x + 5}}}} - \sqrt x= 1$
I know, just commented it as a useful point, to verify if someone manages to come up with something!
7h
revised Determine whether $f(x)$ is increasing or decreasing
$\LaTeX$ fix
7h
suggested approved edit on Determine whether $f(x)$ is increasing or decreasing
7h
comment Determine whether $f(x)$ is increasing or decreasing
For some basic information about writing math at this site see e.g. here, here, here and here. Also, I cannot understand what you are trying to do in the answer!
19h
revised Riemann hypothesis
Corrected tag
19h
suggested approved edit on Riemann hypothesis
19h
answered Problem Verifying Two Challenging Trig Identities
20h
revised How to find a permutation of a specific rank?
$\LaTeX$ fix
20h
suggested approved edit on How to find a permutation of a specific rank?
23h
comment Show that S is closed but not compact
Hint: Use Heine Borel Theorem to prove its not compact