ricci calculus वाक्य
उदाहरण वाक्य
मोबाइल
- Thus it should not be confused with the Ricci calculus.
- In an unrelated use, superscripts also indicate contravariant tensors in Ricci calculus.
- Ricci calculus is the modern formalism and notation for tensor indices : indicating partial and covariant derivatives.
- The description of tensor fields and operations on them in terms of their components is the focus of the Ricci calculus.
- Where the second expression is the contraction of the vector field valued 1-form with itself and the last expression is the traditional coordinate expression from Ricci calculus.
- See also Ricci calculus for a summary of tensor index notations, and raising and lowering indices for definition of superscript and subscript indices, and how to switch between them.
- In the 1950s Schouten completely rewrote and updated the German version of " Ricci-Kalk�l " and this was translated into English as " Ricci Calculus ".
- Which is only valid in three dimensions, or an antisymmetric tensor field of second order via antisymmetrization of indices, indicated by delimiting the antisymmetrized indices by square brackets ( see Ricci calculus ):
- Expressions in the notation of the Ricci calculus may generally be interpreted as a set of simultaneous equations relating the components as functions over a manifold, usually more specifically as functions of the coordinates on the manifold.
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