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author committer bnewbold 2009-10-19 04:47:25 +0000 User 2009-10-19 04:47:25 +0000 8e53d0a8e1e3b3c0ff995229659f79e2575538d6 (patch) 3f08c91e3e0ca0c40dbc49e2935bbc51a4bfc4dd /math/tensors.page 4e8a3aff88301ef8ad5cb7d1f0f7a4ae5fe9bd49 (diff) knowledge-8e53d0a8e1e3b3c0ff995229659f79e2575538d6.tar.gzknowledge-8e53d0a8e1e3b3c0ff995229659f79e2575538d6.zip
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 diff --git a/math/tensors.page b/math/tensors.pageindex d46810e..e1d24fc 100644--- a/math/tensors.page+++ b/math/tensors.page@@ -1,14 +1,14 @@-============================================++ Tensors, Differential Geometry, Manifolds ============================================ -.. note:: Most of this content is based on a 2002 Caltech course taught by- Kip Thorn [PH237]_+Most of this content is based on a 2002 Caltech course taught by Kip Thorn (PH237). On a manifold, only "short" vectors exist. Longer vectors are in a space tangent to the manifold. -There are points (:m:$P$), separation vectors (:m:$\Delta \vector P$),+There are points ($P$), separation vectors ($\Delta \vector P$), curves (:m:$Q(\zeta)$), tangent vectors (:m:$\delta P / \delta \zeta \equiv \lim_{\Delta \zeta \rightarrow 0} \frac{ \vector{ Q(\zeta+\delta \zeta) - Q(\zeta) } }{\delta \zeta}$)