Jump to content

Talk:Tensors in curvilinear coordinates

Page contents not supported in other languages.
From Wikipedia, the free encyclopedia

Restored content from curvilinear coordinates (early April 2012)

[edit]

See here. This article can let loose on the tensor calculus + applications while the main article curvilinear coordinates should be the intro to the formalism in vector calculus, which was previously immersed in tensors and genuinely unreadable. See also here. Thanks, F = q(E+v×B) ⇄ ∑ici 11:43, 30 April 2012 (UTC)[reply]

Presentation

[edit]

It would look much neater and reduce the byte count if people would actually stop using LaTeX for characters/very short expressions which are trvial to write in html. Here are very good examples:

"In orthogonal curvilinear coordinates of dimensions, where..."
"Let be an arbitrary basis for three-dimensional Euclidean space. In general, the basis vectors are neither unit vectors nor mutually orthogonal. However, they are required to be linearly independent. Then a vector can be expressed as..."

How much effort does it take to use LaTeX ? How much to just type (b1, b2, b3)? F = q(E+v×B) ⇄ ∑ici 00:24, 5 May 2012 (UTC)[reply]

Curl of a Vector:

[edit]

It is indicated that the curl is given by the summation over r,s,t: with:

However and hence in the summation, pairs r,s,t,i and s,r,t,i mutually compensate in the term .

Moreover hence finally there is no contribution at all for the summation of term and we may simply write:

By the way, Levi-Civita symbol is introduced in section 3.3 but used in section 1.3 — Preceding unsigned comment added by PBenard (talkcontribs) 07:54, 11 September 2012 (UTC)[reply]

Mécanique générale

[edit]

Mécanique générale 105.157.148.67 (talk) 13:17, 17 June 2022 (UTC)[reply]