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Lecture 17 Exterior Forms on R Math Cornell

Lecture 17 Exterior Forms on R Math Cornell

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all right well begin with a word word of prayer deely father we uh thank you for this day thank you for another weekend just completed just pray with us today help us to uh glorify you Lord what we do and uh just help us to understand that Lord in your name I pray amen all right so um let's see I got to I think last time um the concept of anti- symmetric and symmetric tensors right and um so I mentioned that if we look at the um if we look at the anti- symmetric tensors how would those be defined remember so so the anti-symmetric let's say type um 0 P which would be what would those look like I'm trying to remember what are the uh the indices on the component are they up or down for this one down they're down okay on the components and then so this was a this was actually a map from what what kind of tensor was this from blank to the reals What was the fill in the blank there what was it V cross V cross V cross V is that right okay okay so then I Then I

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