Snoopy‭

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Q&A If $\mathbf{R}$ is thought of as a vector space over $\mathbf{Q}$, what is its dimension?

1 answer · posted 4y ago by Snoopy‭ · last activity 4y ago by r~~‭

Question linear-algebra vector-space

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Q&A Finding the limit $ \lim_{x\to 0^+}e^{1/x}\sum_{n=\lfloor 1/x\rfloor}^\infty\frac{x^n}{n} $

2 answers · posted 4y ago by Snoopy‭ · edited 3mo ago by Snoopy‭

Question real-analysis limits

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Q&A Why can't we conclude the extrema property of a function from its quadratic approximation when the discriminant is zero?

1 answer · posted 4y ago by Snoopy‭ · last activity 4y ago by Snoopy‭

Question multivariable-calculus derivatives

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Q&A Proving that $p\mid (p+1776)$ if $p$ is a prime and $p(p+1776)$ is a perfect square

posted 4y ago by Snoopy‭ · edited 4y ago by Snoopy‭

Answer

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Q&A Proving that $p\mid (p+1776)$ if $p$ is a prime and $p(p+1776)$ is a perfect square

2 answers · posted 4y ago by Snoopy‭ · last activity 4y ago by Snoopy‭

Question number-theory algebra

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Q&A How can 3/1 ≡ 1/(1/3), when left side features merely integers, but right side features a repetend?

posted 4y ago by Snoopy‭ · edited 4y ago by Snoopy‭

Answer

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Q&A Criterion in terms of the bases for determining whether one topology is finer than another

1 answer · posted 3y ago by Snoopy‭ · last activity 3y ago by celtschk‭

Question topology

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Q&A Fourier transform of an $L^1$ function is uniformly continuous

1 answer · posted 2y ago by Snoopy‭ · last activity 2mo ago by Snoopy‭

Question real-analysis fourier-analysis

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Q&A Given two angles of a triangle, finding an angle formed by a median

1 answer · posted 4y ago by Snoopy‭ · last activity 4y ago by Tim Pederick‭

Question euclidean-geometry vector

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Q&A The gcd of powers in a gcd domain

0 answers · posted 4y ago by Snoopy‭ · edited 4y ago by Snoopy‭

Question abstract-algebra

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Q&A $\liminf (a_n+b_n) = \liminf(a_n)+\liminf(b_n)$ provided that $\lim a_n$ exists

1 answer · posted 2y ago by Snoopy‭ · last activity 2y ago by Snoopy‭

Question real-analysis limits

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Q&A If both $\lim_{x\to\infty}f(x)$ and $\lim_{x\to\infty}f'(x)$ exist, then $\lim_{x\to\infty}f'(x)=0$.

1 answer · posted 2y ago by Snoopy‭ · last activity 2y ago by Snoopy‭

Question real-analysis

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Q&A Using convexity in the proof of Hölder’s inequality

1 answer · posted 2y ago by Snoopy‭ · last activity 2y ago by Snoopy‭

Question real-analysis

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Q&A Using convexity in the proof of Hölder’s inequality

posted 2y ago by Snoopy‭ · edited 2y ago by Snoopy‭

Answer

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Q&A For any real number $m$, $ \left|\sum_{n=1}^{\infty}\frac{m}{n^2+m^2}\right|<\frac{\pi}{2} $

posted 2y ago by Snoopy‭ · edited 2y ago by Snoopy‭

Answer

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