Maximum formula: $\max\{x,y\}=\frac{1}{2} \left(x+y+|x-y|\right)$
58629
Show that the $\max{ \{ x,y \} }= \frac{x+y+|x-y|}{2}$.
64844
Finding $E(|X_1|\ |\max |X_i| )$
96927
Modus Operandi. Formulae for Maximum and Minimum of two numbers with a + b and $|a - b|$
57736
Minimum value of $\left(a+\frac{1}{b}\right)^2+\left(b+\frac{1}{c}\right)^2+\left(c+\frac{1}{a}\right)^2$
127634
query on maximum minimum of multi-variable function
137919
How do I find $\lim_{(x,y) \to (0,0)} \frac{\sqrt{xy + 1} -1}{x + y}$?
87907
How to find the maximum and minimum value of $\left|(z_1-z_2)^2 + (z_2-z_3)^2 + (z_3-z_1)^2\right|$ (where $|z_1|=|z_2|=|z_3|=1$)?
127032
Maximum of $\cos \alpha_{1}\cdot \cos \alpha_{2}\cdot \cos \alpha_{3}....\cos \alpha_{n}.$
3273
Trouble in proving that $\|x\|_p = \max|x_j|$
52858
Find $f$ if $ f(x)+f\left(\frac{1}{1-x}\right)=x $
45742
Prove that ${\left(\frac{x+1}{2}\right)}^{x+1} \leq x^x$
101743
Find the limit: $\lim \limits_{x \to 1} \left( {\frac{x}{{x - 1}} - \frac{1}{{\ln x}}} \right)$
7775
Show that $|x-y|\leq |x|+|y|$.
95084
What is the expected value of $\min\{|X|,|Y|\}/\max\{|X|,|Y|\}$ assuming $X$ and $Y$ are independent?
45439
Given reals $a_1, a_2, \cdots, a_{n - 1}, a_n$ such that $\sum_{i = 1}^na_1^2 = 1$. Calculate the maximum value of $\sum_{cyc}|a_1 - a_2|$.
22528
maximum value of $xy+yz+zx.$ given $x+2y+z=4$
146266
Find the maximum value of the expression ${\frac {x}{1+x^2}} + {\frac {y}{1+y^2}}+{\frac {z}{1+z^2}}$.