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Slereah

23:02

Wait wouldn't there be field configurations where the action is negative

like say $\phi_{,t} > 0$ and $\phi_{,x} = 0$

Off shell certainly but you still have to integrate over it

Secret

Last night, I dreamt about having a very weird numerical analysis class (that makes no sense if you are aware of the key concepts in numerical analysis) :

The teacher said she is teaching about finite difference, and that the first thing we need to know is the following (bold caps are matrices and small letters are vectors) mathematical object defined to satisfy the following:

1. $\mathbf{M}\mathbf{c}=r(forgot)\mathbf{c}$
where $r=0$ implies $\mathbf{M}=\mathbf{O}$ (zero matrix)

2. $\Lambda\Lambda-\Lambda\Lambda$ which endows a geometry to the algebra

0celo7

@FenderLesPaul tonight

almost done with homework

@Secret algebra is a thing

beats me what it is exactly, but it is a thing

i.e. I can't come up with the definitions off the top of my head

Secret

23:20

I briefly read about it on wikipedia after our discussion. From what I understood from wikipedia, it seemed to be a vector space equipped with a bilinear map

0celo7

indeed

yeah that's right

so in the case of lie algebra the bilinear map is the bracket $[.,.]$

@DanielSank Validity of equation

0celo7

23:40

@obe how's the problem set going