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Jul
18
comment Can this expression be made into a quadratic form?
Who are $a$, $\gamma$, $x_t$, vectors, reals, other? Please provide us more information.
Jul
18
awarded  Enthusiast
Jul
17
comment Counting binary strings that have atmost k consecutive 0's
+1 only for reference from Flajolet :)
Jul
17
comment Integration problem where there is no closed form.
Don't see problems, f' is continuos on closed interval and the integral can decomposed into $\int_{1/x}^1 -f'(x) dx + \int_1^x f'(x) dx$
Jul
17
answered Integration problem where there is no closed form.
Jul
17
comment Is there any way to reduce the fraction $2^x/x$?
Note that $2^x$ is exponential and grows faster more than any polynomial ($x^a = o(2^x)$)
Jul
5
revised Why can we treat infinitesimals as real numbers in integration by substitution?
added 120 characters in body
Jul
5
answered Why can we treat infinitesimals as real numbers in integration by substitution?
Jul
4
comment How to calculate the following limit?
Please, write us your thoughts about the problem and what you have tried.
Jun
30
comment Factorials and trailing zeroes: more methods
related: math.stackexchange.com/questions/141196/…
Jun
30
comment Proving inequalities using Calculus
Lagrange multipliers
Jun
27
asked Theorem implication/equivalence transitiveness in demonstrations
Jun
26
comment Is the complement of a closed set always open?
What's the problem?
Jun
24
comment Worst case binary search
When the computer makes a choice it selects the $n$-th digit in binary representation on the $n$-th iteration until it replicates the number you have given. So the idea to fool the computer is to make the selection process the longest as possible choosing numbers with long alternating binary representation.
Jun
24
comment Worst case binary search
Consider that numbers as 1/3 (=$0.\overline{01}$ in binary) will make the computer choose forever if $\epsilon \rightarrow 0$
Jun
24
comment Find x, if $ \log _{15}\left(\frac{2}{9}\right)^{\:}=\log _3\left(x\right)=\log _5\left(1-x\right) $
The system of equations will give you $x_1$ and $x_2$, you'll have to check if $x_1=x_2$ because it's your initial condition: $\log_3(x) = \log_5(1-x) \Leftrightarrow \log_3(x_1) = \log_5(1-x_2) \wedge x_1=x_2$
Jun
24
comment Find x, if $ \log _{15}\left(\frac{2}{9}\right)^{\:}=\log _3\left(x\right)=\log _5\left(1-x\right) $
In the first change $\log_{15}$ in $\log_{3}$, in the second change $\log_{15}$ in $\log_{5}$ and then exponentiate sides of each equation.
Jun
24
answered Find x, if $ \log _{15}\left(\frac{2}{9}\right)^{\:}=\log _3\left(x\right)=\log _5\left(1-x\right) $
Jun
22
awarded  Yearling
Jun
19
revised Does the series: $\sum_{n=1}^\infty (-1)^n \lbrack {\sqrt\frac{n}{2}} \rbrack$ Converge?
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