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Mar
23
asked When does the $L_1$ convergence imply almost everywhere convergence?
Mar
8
awarded  Nice Question
Mar
5
asked Confusion about Lie groups in Fulton & Harris
Jan
19
accepted Evaluating a line integral
Jan
19
asked Evaluating a line integral
Dec
20
comment What physical information does the mean value property of heat equation convey?
@ChristianBlatter I'm aware of intuitive interpretation of heat equation, but nonetheless I can't figure out how to explain in simple words what these ''heat balls'' are... Maybe I'm missing something obvious.
Dec
20
asked What physical information does the mean value property of heat equation convey?
Dec
16
asked Discrete analogue of Green's theorem
Nov
11
comment Is there any intuitive understanding of normal subgroup?
Read this: gowers.wordpress.com/2011/11/20/… math.ucr.edu/home/baez/normal.html
Sep
26
accepted Killing form on some Lie algebra $L$ is zero. Is $L$ necessarily nilpotent?
Sep
25
asked Killing form on some Lie algebra $L$ is zero. Is $L$ necessarily nilpotent?
Sep
6
accepted Confusion in Lie algebra notes
Sep
3
asked Confusion in Lie algebra notes
Sep
3
accepted What kind of matrices are non-diagonalizable?
Sep
3
accepted Differences between infinite-dimensional and finite-dimensional vector spaces
Sep
3
accepted If a topological space $S$ is second-countable, must necessarily every quotient space of $S$ be second-countable?
Sep
3
accepted Geometric interpretation of an integral inequality
Sep
1
comment Visualizing Lie algebra of SO(3)
@user71769 Thank you, that looks great.
Aug
30
comment Visualizing Lie algebra of SO(3)
Let's imagine you are seeing those notions in my post for the first time. Could one with good visual intuition guess $[X, Y]$ proportional to $Z$ before calculating? If I understand correctly, when you say that Lie bracket refers to the rate of change, you think about the Lie bracket of left-invariant vector fields generated by $X, Y, Z$, right? It's not really obvious to me that $[X,Y]$ should be proportional to $Z$ when I think that way. Is it to you? Could you explain how?
Aug
30
asked Visualizing Lie algebra of SO(3)