6 uppsatser
… outer product is defined and used as a bridge to reach 2:nd and 4:th order tensors. Some applications of these in geometric analysis of range data are discussed and illustrated. In idealized setups, simple geometric objects, like spheres or polygons, are successfully detected …
We derive the equation linking the Weyl tensor with its Lanczos potential, called the Weyl-Lanczos equation, in 1+3 covariant formalism for perfect fluid Bianchi type I spacetime and find an explicit expression for a Lanczos potential of the Weyl tensor in these spacetimes. To …
This thesis describes new methods for automatic crack detection in pavements. Cracks in pavements can be used as an early indication for the need of reparation. Automatic crack detection is preferable compared to manual inventory; the repeatability can be better, the inventory …
Asymptotically flat spaces are widely studied because it is one natural way of describing an isolated system in general relativity. In this thesis we study what happens to the Lanczos potential at spacelike infinity in such spacetimes. By transformations of the Weyl-Lanczos …
… spännande matematiska konstruktion harden fördelaktiga egenskapen att såväl tensoralgebra som spinoralgebraingår i den som delalgebror. Detta innebär att den geometriska algebranskulle kunna fungera som en sammanlänkande teori med vilken eleverskulle kunna få en mer syntetiserad …
Ett mer abstrakt vektorbegrepp för gymnasiet, för attunderlätta studier vid universitet och högskola.
… spännande matematiska konstruktion harden fördelaktiga egenskapen att såväl tensoralgebra som spinoralgebraingår i den som delalgebror. Detta innebär att den geometriska algebranskulle kunna fungera som en sammanlänkande teori med vilken eleverskulle kunna få en mer syntetiserad …
