If $A>0$ , $B>0$ , $A-B>0$ then $\rho (A) - \rho (B) > 0$?
75211
Theorem about positive matrices
1932
How to show this equality of $\rho(X,Y)$
98496
Let $a,b \in \mathbb{Q^{+}}$ then $\sqrt{a} + \sqrt{b} \in \mathbb{Q} $ iff $\sqrt{a} \in \mathbb{Q}$ and $\sqrt{b} \in \mathbb{Q}$
102817
$A,B\in M_{n}(\mathbb{R})$ so that $A>0, B>0$, prove that $\det (A+B)>\max (\det(A), \det(B))$
147892
Proving if $x<y$ then $\sqrt{x} < \sqrt{y}$
23264
Inequality $ \vert \sqrt{a}-\sqrt{b} \vert \leq \sqrt{ \vert a -b \vert } $
67394
How to interpret $\mathbb{P}(B|A)$ when $\mathbb{P}(A) = 0$
77026
Proof with inequalities
28822
$|x| - |y| \leq |x-y|?$
84946
If $0<a<b$, prove that $a<\sqrt{ab}<\frac{a+b}{2}<b$
39646
Is there a relation between $\rho(A) + \rho(B)$ and $\rho(A+B)$, where $\rho$ is the spectral radius?
52305
Is there a general relation between $a/b$ and $(a+c)/(b+c)$ where $a,b,c > 0 $?
64955
Show that there are $ a,b \geq 0 $ so that $ |f(x)| \leq ax+b, \forall x \geq 0.$
43246
Showing that if $a<b$, then $a^{1/n} < b^{1/n}$
77212
Show that for any real constants a and b, where b > 0, (n + a) b = Θ(n b ).
130327
Prove that $a^2 > b^2$ ; if $a > b \geq 0$.
105316
Prove : $|x - y| \leqslant \epsilon$ $\forall \epsilon > 0$ iff $x = y$