In differential forms d^2 x = 0. On page 6 of this paper it is implied that d^2 x != 0, but no discussion is given of what the value might be or how to calculate it. This goes along with avoidance of the semantics of the d operation.
I think the paper is thought provoking, but I don't think cluttering formulas up with terms like d^2 x / dx^2, to which no meaning is attached, is helpful, particularly with new students.
Speaking of jellyfish, they're becoming a worldwide menace. ( See Stung!
http://www.barnesandnoble.com/... )
Unfortunately they seem not to taste very good. Maybe another commercial use could be found? Party balloons?
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In differential forms d^2 x = 0. On page 6 of this paper it is implied that d^2 x != 0, but no discussion is given of what the value might be or how to calculate it. This goes along with avoidance of the semantics of the d operation. I think the paper is thought provoking, but I don't think cluttering formulas up with terms like d^2 x / dx^2, to which no meaning is attached, is helpful, particularly with new students.
How does this differ from the Grassmann algebra of differential forms? https://en.wikipedia.org/wiki/...
Speaking of jellyfish, they're becoming a worldwide menace. ( See Stung! http://www.barnesandnoble.com/... ) Unfortunately they seem not to taste very good. Maybe another commercial use could be found? Party balloons?