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May
18
revised Non measurable subset of a positive measure set
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May
18
answered Non measurable subset of a positive measure set
Apr
20
comment Characterization of measurable sets $E$ with $|E|_e<\infty$
Late to the party but: $\lvert E{\rvert}_e < \infty$ is needed for the other direction to show that when writing an open set $G \supset E$, $\lvert G-E\rvert < \epsilon$ as a countable union of nonoverlapping intervals, the tail of the union has small measure. This direction does not appear to need this, since the finite union of intervals is so nice and the other $N_1$ and $N_2$ are already small.
Mar
7
comment How could I prove whether the infinite series $n!/n^n$ converges or diverges?
@JulianRachman "By this result, we can see that the series does not diverge, however it is still inconclusive that the series converges." This is not right at all. The theorem you used gives sufficient conditions for convergence, not necessary. And "converges xor diverges" is a tautology, so the statement itself does not make sense. (edit: it's fixed now, though only the ratio test is necessary, undid -1).
Feb
22
answered this is not a vector space,is it?
Dec
21
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Sep
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Sep
24
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Jul
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Apr
9
comment Prove that if b is coprime to 6 then $b^2 \equiv 1 $ (mod 24)
Since $b^2$ is a perfect square, we have that $b^2 = 1,4,9,16$ modulo $24$. All of these, besides $1$, require that $2 | b$ or $3 | b$.
Mar
9
comment Is this fraction even possible to put into partial fractions?
@Wolff Think inverse trigonometric functions.
Feb
6
comment Real Analysis Question concerning existence of curve and derivative?
Suppose $f(0) \ne 0$. Use continuity of $f$ to obtain a contradiction.
Jan
31
answered How to find the inverse function?
Jan
24
comment Does an element of a group to the 0th power equal the identity?
In other words, the assignment of $x^0 = 1$ plays nice with $x^ax^b = x^{ab}$ for all $a$ and $b$, a desirable property.
Jan
19
comment Does this equation have positive integer solutions?
In other words, combining any two Pythagorean triples gives a solution.
Jan
5
comment How do I show using math symbols “get quotient without remainder”
Try $\lfloor 10/3 \rfloor=3$. This is the "floor" operation and gets rid of any decimal.
Jan
2
comment How find this integral
Your bounds are for $t$, but you treated them as if they were for $\theta$. Notice that $\theta = \sin^{-1} t$, so you can easily switch back.
Dec
31
answered How many even numbers are there in a set $\{x_1, x_2 … x_n\}$
Dec
30
answered The number of ways in which 6 pencils can be distributed between two boys such that each boy gets at least one pencil is
Dec
29
revised Project Euler - 34 / Find a mathematical approach for upper bound
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