rotated hyperbolic cylinder parameterization
A hyperbolic cylinder is given by $\frac{x^2}{a^2}-\frac{y^2}{b^2} = -1$, but thats a hyperbolic cylinder that goes along the Z-axis. How do you parametri...
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A hyperbolic cylinder is given by $\frac{x^2}{a^2}-\frac{y^2}{b^2} = -1$, but thats a hyperbolic cylinder that goes along the Z-axis. How do you parametri...
I am trying to find the relation between the number of nodes and the number of connections possible. So if there are $0$ nodes, that means $0$ connections...
I see a lot of calculus texts stating direct substitution is a form of evaluation for a limit. Maybe I'm missing something because, to me, direct sub...
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Two teams play a series of baseball games, team A and team B. The team that wins 3 of 5 games wins the series. The first game takes place in the stadium o...
The following example is drawn from Milne's Galois Theory notes, p.42 (http://www.jmilne.org/math/CourseNotes/FT.pdf) We study the extension $\mathbb...
What are the values of the positive constant, $c$, for which $$ \sum_{n=2}^\infty \frac{1}{n(\ln n)^c}$$ is convergent or divergent? I am a bit confused h...
Question: Find $Aut\left ( \mathbb{Z}_{6} \right )$ Note that $\mathbb{Z}_{6}=\left \{ 0,1,2,3,4,5 \right \}$ Observe: $\forall k \in \mathbb{Z}_{6}$, $k^...
This question is equal parts math and physics, though I chose to ask it here because I am more concerned with the mathematics behind it, rather than physi...
The following is Problem 1-11 in Lee's Introduction to Smooth Manifolds, 2nd Edition: Let $M = \overline{\mathbb B}^n$, the closed unit ball in $\mat...