Assume that $ 1a_1+2a_2+\cdots+20a_{20}=1, $ where the $a_j$ are real numbers and that these values minimize...
68771
Assume that $ 1a_1+2a_2+\cdots+na_n=1$, where the $a_j$ are real numbers.
20055
Find minimum value of $\sum \frac{\sqrt{a}}{\sqrt{b}+\sqrt{c}-\sqrt{a}}$
114043
Prove the existence of a real number satisfying a property
52587
Real analysis : Problem related to inverse
56311
Proving $(1+a_{2})^{2}(1+a_{3})^{3}\cdots(1+a_{n})^{n}\ge n^n$ for positive reals $a_2,\ldots, a_n$ whose product is $1$
56195
Find the minimum value of $\sin^{2} \theta +\cos^{2} \theta+\sec^{2} \theta+\csc^{2} \theta+\tan^{2} \theta+\cot^{2} \theta$
54929
Finding integer solutions for $6x+15y+20z=1$
16749
Let $A_i= \left \{...,-2,-1,0,1,...,i \right\}$. Find $\bigcup_{i=1}^{n} A_i$ and $\bigcap_{i=1}^{n} A_i$
149576
$x(a^{1/x}-1)$ is decreasing
103744
Minimal $ab$ for Rational Number $a/b$ in an Interval
132879
Matlab questions about $a_{n+1} = 4a_{n} + n +1$
122300
Maximizing a quadratic function subject to $\| x \|_2 \le 1$
132539
Rudin's Principles of Mathematical Analysis Theorem $1.20 (a)$
105873
Construct an algorithm to find the multiple of A such that A%B is maximized
137105
The minimum value of $x^8 – 8x^6 + 19x^4 – 12x^3 + 14x^2 – 8x + 9$ is
156542
Number of solutions to $a_1 + a_2 + \dots + a_k = n$ where $n \gt 0$ and $0 \lt a_1 \leq a_2 \leq \dots \leq a_k$ are integers.
57736
Minimum value of $\left(a+\frac{1}{b}\right)^2+\left(b+\frac{1}{c}\right)^2+\left(c+\frac{1}{a}\right)^2$