Mathematics
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Mathejunior
  • Member for 6 years, 2 months
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question
13
Proving $\left(\frac{a}{a+b+c}\right)^2+\left(\frac{b}{b+c+d}\right)^2+\left(\frac{c}{c+d+a}\right)^2+\left(\frac{d}{d+a+b}\right)^2\ge\frac{4}{9}$
Jan 12, 2017
question
8
Is $1+\sqrt{5}$ a prime under the $\mathbb{Z}[{\sqrt{5}}]$ domain?
Nov 17, 2017
question
8
Show that infinitely many positive integer pairs $(m,n)$ exist s.t $\frac{m+1}{n}+\frac{n+1}{m} \in \mathbb{N}$ [duplicate]
Oct 3, 2018
question
6
If $f\in \mathbb{Z[x]}$ is a polynomial and $f(2^n)$ is a perfect square for all $n$, then there is a $g\in \mathbb{Z[x]}$ such that $f=g^2$
Jul 16, 2018
question
6
Does there exist a function $ f $ such that $ f ( x ) $ is an integer for only finitely many values of $ x $?
Oct 5, 2018
question
6
General formula for $\sin(A_1+A_2+\cdots+A_n)$
Jul 18, 2017
question
6
Find all functions $f:\mathbb{R} \mapsto \mathbb{R}$ which satisfy $f(x^2+y f(z)) =x f(x) + z f(y)$
Dec 28, 2017
question
6
Find volume of the cone using integration
Apr 6, 2018
question
5
If $f:\mathbb{R}\to \mathbb{R}$ is an invertible function, is it necessary that the function has to be strictly monotonic?
Jul 3, 2018
question
5
Can we assume $ f ( y ) = 0 $ in solving the functional equation $ f \big( x - f ( y ) \big) = f \big( f ( y ) \big) + x f ( y ) + f ( x ) - 1 $?
Dec 29, 2017
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How is the the law of chemical equivalence defined and what are its limitations?

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