/sci/ - Science & Math

Is this a proper parameterization for [math]x^{2}+2y^{2}+3z^{2} = 1[/math]: [math]\hspace{0.5cm} r(u,v) = \left< \cos(u)\sin(v),\frac{1}{\sqrt{2}}\sin(u)\sin(v), \frac{1}{\sqrt{3}}\cos(v)\right>[/math], [math]u\in [0,2\pi], v\in [0,\pi] [/math]

learning about Riesz representation theorem tomorrow. can I get a quick rundown?

redpill me on fractional operators

how do I prove ∞-groupoids are equivalent to the topological spaces?

How would I go about showing that, for all [math]n\in \mathbb{N}\cup \{0\}[/math]
[eqn] s_{n} = 1 + \sum_{i=1}^{n}\left( \prod_{k=1}^{i}\left( \frac{1}{2} + \frac{1}{k} \right) \right) [/eqn]
this sequence of partial sums converges?