Find the minimum value of $f(x)=\sum_{i=1}^n |x-a_i|$.
7740
The median minimizes the sum of absolute deviations (the $ {\ell}_{1} $ norm)
85535
Finding maximum of $|f'(i)|$
33389
What's the minimum of $\int_0^1 f(x)^2 \: dx$, subject to $\int_0^1 f(x) \: dx = 0, \int_0^1 x f(x) \: dx = 1$?
103213
Minimum value in 2 variables
115248
$x\sin x$ is a solution of $n$th order linear differential equation. Find minimum $n$
22294
Maximum and minimum value of $\int_0^1 f(x)dx $ given $|f'(x)|<2$
48154
Find the minimum value of $f(x,y,z)=\frac{x^2}{(x+y)(x+z)}+\frac{y^2}{(y+z)(y+x)}+\frac{z^2}{(z+x)(z+y)}$.
137105
The minimum value of $x^8 – 8x^6 + 19x^4 – 12x^3 + 14x^2 – 8x + 9$ is
87395
Evaluating $\int_{I^n} \left( \min_{1\le i \le n}x_i \right)^{\alpha}\,\, dx$
82317
Find the minimum value of $A=\frac{2-a^3}{a}+\frac{2-b^3}{b}+\frac{2-c^3}{c}$
41226
Find $f:f(xf(x)+f(y))=f(x)^2+y$
155415
Minimax problem for optimization $\inf \sup \frac{x f(x)}{\int_0^1 f(t) dt}$
60206
Find minimum of $P=\frac{\sqrt{3(2x^2+2x+1)}}{3}+\frac{1}{\sqrt{2x^2+(3-\sqrt{3})x +3}}+\frac{1}{\sqrt{2x^2+(3+\sqrt{3})x +3}}$
98255
Find $f(x)$ such that $f(f(x)) = x^2 - 2$
79276
Find $\min(\operatorname{trace}(AA^T))$ for invertible $A_{n\times n}$
40981
Find the cumulative function and the density of $m_n$ and $M_n$, where $m_n=\min(X_1,X_2,...,X_n)$ and $M_n=\max(X_1,X_2,...,X_n)$.
36099
Show that $\|f\|^{2}$ attains a minimum value on the interior of $B$