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 Mar23 asked When does the $L_1$ convergence imply almost everywhere convergence? Mar8 awarded Nice Question Mar5 asked Confusion about Lie groups in Fulton & Harris Jan19 accepted Evaluating a line integral Jan19 asked Evaluating a line integral Dec20 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. Dec20 asked What physical information does the mean value property of heat equation convey? Dec16 asked Discrete analogue of Green's theorem Nov11 comment Is there any intuitive understanding of normal subgroup? Sep26 accepted Killing form on some Lie algebra $L$ is zero. Is $L$ necessarily nilpotent? Sep25 asked Killing form on some Lie algebra $L$ is zero. Is $L$ necessarily nilpotent? Sep6 accepted Confusion in Lie algebra notes Sep3 asked Confusion in Lie algebra notes Sep3 accepted What kind of matrices are non-diagonalizable? Sep3 accepted Differences between infinite-dimensional and finite-dimensional vector spaces Sep3 accepted If a topological space $S$ is second-countable, must necessarily every quotient space of $S$ be second-countable? Sep3 accepted Geometric interpretation of an integral inequality Sep1 comment Visualizing Lie algebra of SO(3) @user71769 Thank you, that looks great. Aug30 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? Aug30 asked Visualizing Lie algebra of SO(3)