If $m(A \cap I) \le (1 - \epsilon)m(I)$ for every interval $I$, then $m(A) = 0$?
69499
Let $A\subset\mathbb{R}$ a measurable and bounded set. Show that exists for each $0\alpha$.
30860
Prove that $f(x)=0$ in $[-1,1]$.
9696
The interval [0,1] andd [3,5] are equivalent. Is my proof correct?
65595
Let $\lambda(A)$ be the Lebesgue measure of $A$. There exists an interval $I$ such that $\lambda(E \cap I) / \lambda(I) < 1-\epsilon$
76527
If $x_{m+n} \le x_n+x_m$, then $\lim x_n/n$ exists and is equal to $\inf x_n/n$
85412
Epsilon delta proof for $\lim_\limits{x\to a} \sqrt{x} = \sqrt{a}$ where $a>0$
125763
If $\mathrm{tr}(A)=0$, then we have $A=BC-CB?$
42334
Does $\lambda$ $\mathbf u$ $= 0$ imply $\lambda = 0$ or $\mathbf u$ $= 0$?
122213
Proving that if $\langle Ax,x\rangle =0$ for every $x$, then $A$ is the zero operator
152310
If $E$ has Lebesgue measure $0$, must there exist a translate such that $E\cap E+x=\varnothing$?
38860
$P(\limsup A_n)=1 $ if $\forall A \in \mathfrak{F}$ s.t. $\sum_{n=1}^{\infty} P(A \cap A_n) = \infty$
75002
show that $\det(A)=0$ in this case
72847
Does $f(x)$ is continuous and $f = 0$ a.e. imply $f=0$ everywhere?
68484
Revision of Borel-Cantelli, $(X_n)_{n \geq 1}$ sqn of $\geq 0$ identical RVs with $E(X) < \infty$ then $X_n/n \to 0$ a.s., are my arguments correct?
75735
Let $f$ be a continuous function on an interval around $0$ and let $a_i=f(\frac{1}{i})$ (for large enough $i$)
94971
For every $\epsilon>0$ there exists $\delta>0$ such that $\int_A|f(x)|\mu(dx) < \epsilon$ whenever $\mu(A) < \delta$
52928
If $\mathrm{Tr}(A)=0$ then $T=R^{-1}AR$ has all entries on its main diagonal equal to $0$