nomadreid's latest activity
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nomadreid replied to the thread Undergrad The vector to which a dual vector corresponds.Thanks, Gavran. Your post explains the confusion very well and concisely, and clears up a whole lot of my confusion. Super! As well... -
nomadreid reacted to Gavran's post in the thread Undergrad The vector to which a dual vector corresponds with
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The author (A Student's Guide to Vectors and Tensors, by Daniel Fleisch, Cambridge, 2012., Chapters 4.5 and 4.6) does not mention a dual... -
nomadreid reacted to wrobel's post in the thread Undergrad The vector to which a dual vector corresponds with Like.
Read decent books: Finite-Dimensional Vector Spaces by Paul R. Halmos
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nomadreid replied to the thread Undergrad The vector to which a dual vector corresponds.OK, downloaded.
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nomadreid replied to the thread Undergrad The vector to which a dual vector corresponds.Yes
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nomadreid reacted to martinbn's post in the thread Undergrad The vector to which a dual vector corresponds with Like.
A vector space doesn't come with a basis. Do you mean a vector space with a fixed basis, which need not be orthonormal?
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nomadreid replied to the thread Undergrad The vector to which a dual vector corresponds.Ah, I guess I mean a non-orthonormal vector space; i,e, a vector space in which not all of the basis vectors are orthogonal to one...
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nomadreid reacted to martinbn's post in the thread Undergrad The vector to which a dual vector corresponds with Like.
What is a non-orthogonal vector space?
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How do you get to -9,431 counting back from 100 in 7s?
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nomadreid replied to the thread Old man, new member.I am older/less young than the poster, and have been receiving answers from the wonderful people on this forum for many years for my...
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nomadreid posted the thread Undergrad The vector to which a dual vector corresponds in Linear and Abstract Algebra.I am a bit confused about dual space unit vectors in the case of non-orthonormal vector spaces. (Reference: A Student's Guide to...
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nomadreid replied to the thread Is mathematics invented or discovered?.One of the possible false assumptions here is that mathematics is uniform enough to have the same answer for all of it. It is...
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nomadreid replied to the thread Undergrad 2 interpretations of bra-ket expression: equal, & isomorphic, but....Huge thanks for the replies, Gavran. (The delay in my response was due to my not getting the usual email notification of a reply.)...
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nomadreid reacted to wrobel's post in the thread Undergrad 2 interpretations of bra-ket expression: equal, & isomorphic, but... with Like.
See Chapter 3 Section 6: F. Riesz' Representation Theorem and Corollary 1 therein. In the case of ##\mathbb{C}## the isomorphism between...
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nomadreid reacted to Gavran's post in the thread Undergrad 2 interpretations of bra-ket expression: equal, & isomorphic, but... with Like.
Dealing with a dual vector space lacks bilinearity. It is more natural to use an inner product when we want to define lengths...
