Accession Number : AD0413337

Title :   THE PHYSICAL TENSOR AND APPLICATIONS,

Corporate Author : TECHNION - ISRAEL INST OF TECH HAIFA

Personal Author(s) : Karni,Z.

Report Date : 07 JAN 1963

Pagination or Media Count : 27

Abstract : The definition of the physical tensor and tensor field, the transformation laws for its magnitudes with respect to orthogonal and oblique systems, the directional derivative of a tensor, the curvilinear derivative of the tensor magnitudes and the Christoffel tensor in orthogonal systems, a survey on multi-point tensors and multi-system magnitudes, the plane finite rotation tensor and the physical curvature tensor are reported. As applications, the transforming of a Cartesian tensor equation to curvilinear coordinates, a multi-relative motion with respect to curvilinear networks and the merging of the Lagrange equa tions of motion and the geodesics equation into a single physical tensor equation of the Newton type are discussed. (Author)

Descriptors :   (*TENSOR ANALYSIS, THEORY), (*GEODESICS, EQUATIONS), (*MECHANICS, ANALYSIS), DETERMINANTS(MATHEMATICS), VECTOR ANALYSIS, TRANSFORMATIONS, NETWORKS, MOTION.

Distribution Statement : APPROVED FOR PUBLIC RELEASE