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Nov
23
awarded  Good Question
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awarded  Popular Question
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Sep
24
awarded  Autobiographer
May
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Mar
10
comment What creates the chaotic motion on a double pendulum?
Suggested reading is "The laws of chaos" of Ilya Prigogine. He's a strong assertor of intrinsically chaotic laws also in classical mechanics.
Oct
23
asked What is the difference between scale-free network and small-world network?
Jul
2
awarded  Popular Question
Dec
4
awarded  Constituent
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Oct
12
comment Is spacetime discrete or continuous?
What about the latest Nemiroff article on "Physical Review Letters"? Probably we should discard the concept of quantum foam, so it seems that spacetime still remains continuous under Planck lengths.
Oct
8
awarded  Commentator
Oct
5
asked Metric tensor and its inverse
Sep
21
comment Are covariant vectors representable as row vectors and contravariant as column vectors
Ok, so in general relativity with the index notation we can extend the usual matrices from linear algebra to (1,1) tensors, while for example (0,2) (completely covariant) tensors have no corresponding matrix in usual linear algebra right? I always have to use the metric tensor to raise/lower indices and get (1,1) tensors, is it right?
Sep
21
accepted Are covariant vectors representable as row vectors and contravariant as column vectors
Sep
20
comment Are covariant vectors representable as row vectors and contravariant as column vectors
So you are suggesting that is always true to treat covariant vectors as row vectors and contravariant as column vectors?
Sep
20
comment Are covariant vectors representable as row vectors and contravariant as column vectors
so the usual gradient of a function in cartesian coordinates is or not a covariant vector representable with row vector? I've been lost...
Sep
20
comment Are covariant vectors representable as row vectors and contravariant as column vectors
so why on wikipedia is the gradient represented as covariant vector? en.wikipedia.org/wiki/Covariance_and_contravariance_of_vectors So how should I modify my question in order for it to be more precise?