noam.szyfer

 4 Questions about following proof regarding why $\mathbb{Z}[x]$ is not a principal ideal domain 4 Problem in Understanding Baby Rudin : Chapter 2 : Basic Topology, page number : 28, 2.10(b) 3 Proof $\left ( -1 \right )^{1}+\left ( -1 \right )^{2}+\left ( -1 \right )^{3}+\cdots +\left ( -1 \right )^{n}=\frac{\left ( -1 \right )^{n}-1}{2}$ 2 $\int_{|z|=1}\frac{i}{z^2-3z+1 }$ 2 Showing $\int_{-\infty}^{\infty} \frac{\sin(ax)\sin(bx)}{x^2} dx = \frac{\pi}{2} \min(a, b)$ using residues

### Reputation (732)

 +25 Question on $\varepsilon$-$\delta$ proof for $\lim_{x \to 0} x^2\sin\left(\frac{1}{x}\right)=0$ +20 $\int_{|z|=1}\frac{i}{z^2-3z+1 }$ +10 How to find the probability of P(|X-m|>2) for continuous random variable? +10 Questions about following proof regarding why $\mathbb{Z}[x]$ is not a principal ideal domain

### Questions (4)

 4 Computing turning number of closed curve 0 Bayes classifier: handling conditional expectation / probability 0 Computing principal curvatures in local coordinates 0 The one point compactification is actually a topology

### Tags (45)

 8 general-topology × 8 4 abstract-algebra 5 real-analysis × 3 4 principal-ideal-domains 5 elementary-set-theory × 2 3 probability × 6 4 proof-explanation × 3 3 geometry × 3 4 complex-analysis × 2 3 calculus × 3

### Bookmarks (135)

 215 Eigenvectors of real symmetric matrices are orthogonal 168 Proof that the trace of a matrix is the sum of its eigenvalues 154 The sum of an uncountable number of positive numbers 97 Expectation of the maximum of gaussian random variables 66 Nuking the Mosquito — ridiculously complicated ways to achieve very simple results

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