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Mathematics
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Michael
  • Member for 6 years, 8 months
  • Last seen more than a month ago
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Just a PhD student trying to discover his niche. Currently have interests in Ergodic Theory, Functional Analysis, and Algebraic Topology.

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11
Why is the range a larger set than the domain?
10
Does real analysis have new theorems, or is it just a collection of proofs of old calculus theorems?
6
Prove that $2\text{Area}(\omega) \leq \text{length}(\gamma)\,\text{distance}(\gamma)$
6
Let $Y$ be an ordered set in the order topology with $f,g:X\rightarrow Y$ continuous, show that $\{x:f(x)\leq g(x)\}$ is closed in $X$
5
Calculate $\int_{0}^{1} x^2 dx$ using the definition of the integral using Riemann Sums