Mathematics
Adam Boussif's user avatar
Adam Boussif's user avatar
Adam Boussif's user avatar
Adam Boussif
  • Member for 1 year, 8 months
  • Last seen this week
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All Questions Answers
Score Newest
question
2
A railroad track connects a station A to another K passing successively through stations from A to K
Mar 10, 2022
question
2
Help me solve this inequality :$\forall x,y,z > 0 : \sum\limits_{cyc} \frac{x}{xz+2x+1} \leq \frac{3}{4}$ [duplicate]
Jul 23, 2022
question
2
Inequality with smoothing technique:$\sum_{i=1}^{n}\frac{x_{i}}{\sqrt{1-x_{i}}}\geq \sqrt{\frac{n}{n-1}}$ subject to $\sum_{i=1}^{n} x_{i}=1 $
Aug 22, 2022
question
1
Show that $\forall k,j,m,n \in \mathbb{N}^: 3kn^2 +3jn +3m+2 \notin S=\{x^2 \mid x\in \mathbb{N}\}$
Jul 24, 2022
question
1
If a, b, c are positive real numbers such that $a^2+ b^2+ c^2 = 1$ $( \frac{1}{a} +\frac{1}{b} +\frac{1}{c}) +a +b +c \geq 4\sqrt{3}$
Jul 27, 2022
question
1
Prove $\frac{x}{y^2}+\frac{y}{z^2}+\frac{z}{x^2}\geq x^3+y^3+z^3$ where $x,y,z>0$ and $x+y+z=3$.
Aug 14, 2022
question
1
For all natural numbers $a_i$ of the set $\{1,2,\dots\,2017\}$ show that $\sum_{i=1}^{2017}\frac{{a_i}^2-i^2}{i} \geq 0$
Nov 28, 2022
answer
1
Proving $\frac{a}{b}+\frac{b}{c}+\frac{c}{a}+\frac{3n\sqrt[3]{abc}}{a+b+c}\geq n+3$ for $n\leq 3$
Aug 14, 2022
question
0
Let I be the midpoint of the side [AB]. Consider the point J of the segment [BC] st: BJ=2JC and $\angle AIC=\angle BAJ$ find angle $\angle{BAC}$ [closed]
Feb 6, 2022
question
0
Prove the following lemma : $\frac{a^x}{b^y}\ge \frac{xa^{x-y}-yb^{x-y}}{x-y}$
Aug 4, 2022

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