tensor calculus उदाहरण वाक्य
उदाहरण वाक्य
- The advent of tensor calculus in dynamics goes back to Lagrange, who originated the general treatment of a dynamical system, and to Riemann, who was the first to think about geometry in an arbitrary number of dimensions.
- This idea was developed into the theory of the " absolute differential calculus " ( now known as tensor calculus ) by Gregorio Ricci-Curbastro and his student Tullio Levi-Civita between 1880 and the turn of the 20th century.
- The " lay-person " explanations of them sometimes do, but only because the real explanations involve things like tensor calculus ( whereas I'm still struggling with the basic kind ) . 84.65.71.50 13 : 56, 3 October 2006 ( UTC)
- But for the higher order terms ( the two coming from the divergence of the deviatoric stress that distinguish Navier Stokes equations from Euler equations ) some tensor calculus is required for deducing an expression in non-cartesian orthogonal coordinate systems.
- His textbook on tensor calculus, " The Absolute Differential Calculus " ( originally a set of lecture notes in Italian co-authored with Ricci-Curbastro ), remains one of the standard texts more than a century after its first publication, with several translations available.
- The exterior algebra of Hermann Grassmann, from the middle of the nineteenth century, is itself a tensor theory, and highly geometric, but it was some time before it was seen, with the theory of differential forms, as naturally unified with tensor calculus.
- In 1900 he and Ricci-Curbastro published the theory of tensors in " M�thodes de calcul diff�rentiel absolu et leurs applications ", which Albert Einstein used as a resource to master the tensor calculus, a critical tool in the development of the theory of general relativity.
- More recently, he has appealed to tensor calculus, and its use in much of contemporary physics, to argue against the popular view ( propounded by David Lewis ) that the world may be described in terms of'local matters of fact'; i . e . in terms of chiefly intrinsic properties instantiated at spatial or spatio-temporal points.