Micah

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117 Answers

newest activity votes
73
How can I prove that $xy\leq x^2+y^2$?
32
Can two sets have same AM, GM, HM?
21
Is Complex Analysis equivalent Real Analysis with $f:\mathbb R^2 \to \mathbb R^2$?
18
Any two positive integers are co-prime if their sum is a prime number
15
A tricky sum to infinity
14
Trigonometric Inequality. $\sin{1}+\sin{2}+\ldots+\sin{n} <2$ .
14
Can we express $\sin 1^\circ$ in a real closed, not repetitive, radical forms?
13
Find a real function, $f$, s.t. $f(f(x)) = -x$.
12
Inequality:$ (a^{2}+c^{2})(a^{2}+d^{2})(b^{2}+c^{2})(b^{2}+d^{2})\leq 25$
12
Does $\left(n^2 \sin n\right)$ have a convergent subsequence?
11
Is $\sqrt[3]{p+q\sqrt{3}}+\sqrt[3]{p-q\sqrt{3}}=n$, $(p,q,n)\in\mathbb{N} ^3$ solvable?
11
How can I evaluate $\sum_{n=0}^\infty (n+1)x^n$
11
If $x, \log_{10}(x), \log_{10}\log_{10}(x)$ are in arithmetic progression, find the range of $x$.
11
Groups such that every finitely generated subgroup is isomorphic to the integers
10
A graph with almost all degrees different
9
Does taking $\nabla\times$ infinity times from an arbitrary vector exists?
8
Possible generalizations of $\sum_{k=1}^n \cos k$ being bounded
8
Is it possible for cosine functions to have Fourier sine series expressions or sine functions to have Fourier cosine series expressions?
8
How to prove that $\frac{10^{\frac{2}{3}}-1}{\sqrt{-3}}$ is an algebraic integer
8
why is $\frac{\phi(x)-\phi(-x)}{x}$ for smooth $\phi$ bounded at $x=0$
7
Product of complex numbers
7
Odd and even numbers in Pascal's triangle-Sierpinski's triangle
7
Derivative of Multi Variable Equation for Diablo 3 Damage Equation
7
Always a value with uncountably many preimages? (for a continuous real map on the plane)
7
Topology of the tangent bundle of a smooth manifold
6
Is $e^x$ the only isomorphism between the groups $(\mathbb{R},+)$ and $(\mathbb{R}_{> 0},*)$?
6
Showing that $ \left( \frac{a+2b}{a+2c}\right)^3+\left( \frac{b+2c}{b+2a}\right)^3+\left( \frac{c+2a}{c+2b}\right)^3 \geq3 $
6
Question about definition of topological manifold
6
Prove $(-a+b+c)(a-b+c)(a+b-c) \leq abc$, where $a, b$ and $c$ are positive real numbers
5
Proving the uncountability of $[a,b]$ and $(a,b)$
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