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Apr
11
awarded  Yearling
Mar
23
awarded  Nice Answer
Mar
2
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Feb
16
awarded  Nice Question
Feb
10
revised Real life applications of general vector spaces
fixed confusing grammar and half-sentences.
Feb
9
awarded  Custodian
Feb
9
reviewed Leave Open How did the rule of addition come to be and why does it give the correct answer when compared empirically?
Feb
9
reviewed Close Counting and Abstract Problem Solving
Feb
9
reviewed Leave Open Monotone convergence and uniform integrability: an application.
Jan
28
revised What are the practical applications of the Taylor Series?
added 7 characters in body
Jan
28
comment Show that in a discrete metric space, every subset is both open and closed.
@Khallil that is also true, by the definition of 'closed'. But the complements are open as well here, since all sets are open. My point was to make the transition from "all sets are open" to "all sets are complements of open sets, and therefore closed as well".
Jan
25
awarded  Popular Question
Oct
25
comment Relation between $SO(n)$ and rotations
I guess I'm confused about the question. Rotations should be the operations which have a fixed center, do not flip orientation, and are rigid body transformations, which are precisely the properties used when defining $SO(n)$. Would you like a proof that such an operation can always be decomposed into a collection of 2D rotations around multiple planes (with one fixed axis in odd dimension)?
Sep
21
awarded  Popular Question
Sep
3
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Sep
3
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Aug
26
awarded  Guru
Jul
23
answered Why there is no sign of logic symbols in mathematical texts?
Jun
23
comment Electrostatic capacity of two spheres with changing radii
The problem might simplify in the appropriate choice of bispherical coordinates, where you the choose coordinate system so that both spheres are level sets. The potential is a solution of Laplace's equation in the space outside the conductors, which is separable in bispherical coordinates.
Jun
19
accepted Why are there only limits and colimits?