How to find the maximum possible value of $\big| (z_1-z_2)^2+(1-z_1)(1-z_2) \big|$ given that $|z_1|=|z_2|=1$?
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 $|z_1|=|z_2|=|z_3|=1$)?
21986
What is the minimum value of $(1 + a_1)(1 + a_2). . .(1 + a_n)$?
129343
What is the maximum value of $|f(z)|$ on the unit disc $D=\{z \in \mathbb C:|z|\leq 1\}$?
31257
Let $a,b,c>0$ such that $a+b+c=3$, find max/min of $\frac1{a^2+1}+\frac1{b^2+1}+\frac1{c^2+1}$
4970
For $n \geq 2$, show that $n \nmid 2^{n}-1$
13072
If $x,y,z\gt 0$ and $xyz=1$ Then minimum value of $\frac{x^2}{y+z}+\frac{y^2}{z+x}+\frac{z^2}{x+y}$
85535
Finding maximum of $|f'(i)|$
57092
Sum of radicals greater than 1
118443
What is the largest $k$ such that $ \frac { k(abc) }{ a+b+c } \le \left( a+b \right) ^{ 2 }+\left( a+b+4c \right) ^{ 2 } $?
3885
Maximum and minimum of of $f(x)=|x-1|+|x-2|+|x-3|$
111443
Optimization of $2x+3y+z$ under the constraint $x^2+ y^2+ z^2= 1$
83124
Maximize :: $A = B \times C$
9124
Find the exact value of the infinite sum $\sum_{n=1}^\infty \big\{\mathrm{e}-\big(1+\frac1n\big)^{n}\big\}$
66707
How to prove this inequality? $ | z-1 | \le | | z | -1 | + | z| \cdot | \arg z | $
90549
If $z^2 = z_1^2+z_2^2+z_3^2$ then $|\Re(z)| \le|\Re(z_1)|+|\Re(z_2)|+|\Re(z_3)|$
26793
What is the maximum possible value of determinant of a matrix whose entries either 0 or 1?
57736
Minimum value of $\left(a+\frac{1}{b}\right)^2+\left(b+\frac{1}{c}\right)^2+\left(c+\frac{1}{a}\right)^2$