mathemagician

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63 Answers

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8	Inequality on the side lengths of a triangle: $\left\| \frac{a}{b} + \frac{b}{c} + \frac{c}{a} - \frac{a}{c} - \frac{b}{a} - \frac{c}{b} \right\| < 1$.
6	Deduce that there exists a prime $p$ where $p$ divides $x^2 +2$ and $p≡3$ (mod 4)
6	Show $15x^{2} - 7y^{2} = 9$ has no integer solutions
5	Finding a continuous function $f: \mathbb{R} \to \mathbb{R}$ such that $f(\mathbb{R})$ is neither open nor closed
5	Help with writing proofs

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1,306 Reputation

+30	Prove that $3^n>n^4$ if $n\geq8$
+2	What's a better way to integrate this?
+75	Deduce that there exists a prime $p$ where $p$ divides $x^2 +2$ and $p≡3$ (mod 4)
+10	prove that the unit circle $x^2+y^2=1$ is a closed set

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6 Questions

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2	Proof of a fact about symmetric pd matrices
2	Do we need extra assumption for convergence in probability
1	Infimum and limit
1	Supremum equal limit of sequence of integrals
0	am I doing this integration by parts right

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53 Tags

14 homework × 9	10 contest-math × 2
14 geometry × 4	8 number-theory × 7
13 inequality × 3	8 calculus × 4
12 real-analysis × 12	7 sequences-and-series × 5
10 proof-writing × 4	6 analysis × 2

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