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1d
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.
1d
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)
Aug
27
awarded  Nice Question
Aug
24
asked Tangent bundle of the 2-sphere
Aug
22
asked Geometric interpretation of an integral inequality
Aug
22
comment Physical or geometric meaning of complex derivative?
Visual Complex Analysis by Tristan Needham might interest you.
Aug
20
comment How inequalities are made
@HagenvonEitzen Yes, I'm aware of that. But I would like to see a concrete example.