Show that $cl(A) = int(A^c)^c$
73338
Prove that the closure of complement, is the complement of the interior
91911
A linear operator between $C[0,1]$ and $C[0,1]$ defined as $Tf = f + \int f$; Show $T$ is an isomorphism
27482
How to show $-\sup(-A)=\inf(A)$?
132491
How to show that $C=C[0,1]$ is a Banach space
52103
Use Stokes's Theorem to show $\oint_{C} y ~dx + z ~dy + x ~dz = \sqrt{3} \pi a^2$
12954
Prove if $ac>bc$ and $c>0$, then $a>b$
52642
Show that $\text{C}/c \cong (c/(\text{C}^{\text{op}}))^{\text{op}}$
84422
$AB=BA$, $AC=CA$ we need to show $BC=CB$
94383
Prove that $A^TD-C^TB=I$
137626
If $a,b,c$ are positive integers,and $\cfrac{a}{b}+\cfrac{b}{c}+\cfrac{c}{a}$ and $\cfrac{b}{a}+\cfrac{c}{b}+\cfrac{a}{c}$ are integers then $a=b=c$
110944
Proving that $AB-BA=cI$ for nontrivial $c \in \mathbb{C}$
52135
Show that $A \setminus ( B \setminus C ) \equiv ( A \setminus B) \cup ( A \cap C )$
131876
Show that $\int_{a}^{b}{x^{n}f(x)dx}=0$, then $f=0$
72313
Show that for all real numbers $a$ and $b$, $\,\, ab \le (1/2)(a^2+b^2)$
18126
If $f \colon [a,b] \rightarrow \mathbb{R}$, then show that there exists $c \in [a,b]$ such that $\int_a^c f = \int_c^b f$
39270
Showing that $e^x > 1+x$
34907
Show that $\int_{0}^{1}\{P(x)\}^{2}\,dx = (n + 1)^{2}\left(\int_{0}^{1}P(x)\,dx\right)^{2}$