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title
Explicating Thingummyhoos
description
Translating Esoteric Topics Into Ordinary Language
image
site name
Explicating Thingummyhoos
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updated
2026-03-11 13:48:16
raw text
Explicating Thingummyhoos | Translating Esoteric Topics Into Ordinary Language Explicating Thingummyhoos Translating Esoteric Topics Into Ordinary Language How Differentials Compose Next problem, Frankel’s 2.3(1), part(i): Let and be smooth maps. Let x, y and z be local coordinates near , , and , respectively. We may consider the composite map . Show, by using bases , and , that . Now, the differential of F, , acts like this: , where and is the ith component of . A similar definition holds for and . The problem asks us to consider the differentials acting on the bases , and . However, it should be obvious that we need only prove that . The same proof would apply to the other two bases, and hence to the whole vector space that has those three bases as its basis. Thus Published in: mathematics on October 20, 2008 at 2:31 pm Leave a Comment Failed, again. So, I have not had time, or have been persuading myself that I don’t h...
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