query: Find maximum value or upper bound of $|z_{1}-z_{2}|^2+|z_{2}-z_{3}|^2+|z_{3}-z_{1}|^2$
positive_passages.docid: 27062
positive_passages.text: Given complex $|z_{1}| = 2\;\;,|z_{2}| = 3\;\;, |z_{3}| = 4\;\;$ : when and what is $\max$ of $|z_{1}-z_{2}|^2+|z_{2}-z_{3}|^2+|z_{3}-z_{1}|^2$
negative_passages.docid: 108588
negative_passages.text: Improving bound on $\sqrt{2 \sqrt{3 \sqrt{4 \ldots}}}$
negative_passages.docid: 4310
negative_passages.text: Range of $(a_{1}-a_{2})^2+(a_{2}-a_{3})^2+(a_{3}-a_{4})^2+(a_{4}-a_{1})^2$ is
negative_passages.docid: 97900
negative_passages.text: Project Euler - 34 / Find a mathematical approach for upper bound
negative_passages.docid: 3885
negative_passages.text: Maximum and minimum of of $f(x)=|x-1|+|x-2|+|x-3|$
negative_passages.docid: 37525
negative_passages.text: Maximum power of $2$ which divides $3^{1024}-1$
negative_passages.docid: 121362
negative_passages.text: If $A,B>0$ and $A+B = \frac{\pi}{3},$ Then find Maximum value of $\tan A\cdot \tan B$.
negative_passages.docid: 81790
negative_passages.text: Polynomial maximization: If $x^4+ax^3+3x^2+bx+1 \ge 0$, find the maximum value of $a^2+b^2$
negative_passages.docid: 85535
negative_passages.text: Finding maximum of $|f'(i)|$
negative_passages.docid: 73952
negative_passages.text: Upper bound for the sum of absolute values of the eigenvalues
negative_passages.docid: 41383
negative_passages.text: Prove that $(x+y+z)^2(yz+zx+xy)^2 \leq 3(y^2+yz+z^2)(z^2+zx+x^2)(x^2+xy+y^2)$
negative_passages.docid: 67104
negative_passages.text: Find maximum divisors of a number in range
negative_passages.docid: 44562
negative_passages.text: If $\left|z+\frac{2}{z}\right |=2$, then prove that max value of $|z|$ is $\sqrt 3 + 1$ (Corrected version)
negative_passages.docid: 19804
negative_passages.text: How to prove that $|w_{n+1}-w_n| \leq (2/3)^2 |w_n - w_{n-1}|$?
negative_passages.docid: 79125
negative_passages.text: How to find the maximum value for the given $x\cos{\lambda}+y\sin{\lambda}$?
negative_passages.docid: 77470
negative_passages.text: Find modulus of $\frac{|z_1-z_2|}{|1-(z_1)(\overline{z_2})|}$
negative_passages.docid: 37158
negative_passages.text: upper limit of $\cos (x^2)-\cos (x+1)^2$ is $2$