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Mathematics
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Maths-Lover's user avatar
Maths-Lover's user avatar
Maths-Lover
  • Member for 4 years, 1 month
  • Last seen more than 3 years ago
  • India
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Very passionate about mathematics .

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3
Prove that if $abc \geq 1$ and $a,b,c > 0$ then $\frac{1}{1 + a + b} + \frac{1}{1 + b + c} + \frac{1}{1 + c + a} \leq 1$ [duplicate]
Jun 17, 2020
2
A triangular grid of side $n$ is formed from $n^2$ equilateral triangles with sides of length $1$. Determine the number of parallellograms.
Jun 13, 2020
2
Find a bijection between the $(n-1)$ paths and the $n$-paths which have no downramps of even length.
Jun 15, 2020
2
Natural number which can be expressed as sum of two perfect squares in two different ways?
Jun 10, 2020
2
Find a bijection between the $(n-1)$ paths and the $n$-paths which have no downramps of even length.
Jun 15, 2020
1
Find all functions $f : \mathbb R \to \mathbb R$ such that: $f\left(x^3\right)+f\left(y^3\right) = (x + y)f\left(x^2\right)+f\left(y^2\right)-f(xy)$
Jun 9, 2020
1
Can we use division algorithm here? $a = 17$ and $b = −3$
Jun 10, 2020
0
Find the number of ways to move along the grid from $(0,0)$ to $(n,n)$ such that one is always in the region $x \geq y$.
Jun 11, 2020
0
Let points $A(x,y)$ and $B(x + 1,y)$ be points in an $(m + 1)*(n + 1)$ lattice starting at $O(0,0)$ and ending at $P(m,n)$.
Jun 20, 2020
0
Find all $(x,y)$ pairs : $x,y$ $\in \mathbb{Z}$ such that :- $x^4 - 4x^3 - 19x^2 + 46x = y^2 - 120.$
Jun 22, 2020