... scalars. Second-rank tensors will be denoted with double-underlined boldface; e.g. tensor T. Definition of Dyadic Product Reference: Appendix B from Happel & Brenner. ♥ The word “dyad” comes ... to define an important vector associated with this scalar field. The gradient (denoted as ∇f) is defined such that the dot product of it and a differential displacement vector gives the total dif...
Ngày tải lên: 17/03/2014, 13:48
... x 1 ∈ E (s 1 ) and x 2 ∈ E (s 2 ). We need to show that this definition is well-defined, i.e., does not depend on the choices made for x 1 and x 2 . So take x 1 ∈ E (s 1 ) and x 2 ∈ E (s 2 ). ... called the special Euclidean group and denoted by SE(3). We refer the reader to [Murray, Li and Sastry 1994, Chapter 2] for an in depth discussion of SE(3) beyond what we say here. The Euclidean .....
Ngày tải lên: 17/03/2014, 14:24
matrix theory - [jnl article] - t. banks
... string theory. Indeed, if IIA/M theory duality is correct, the momentum in the tenth spatial dimension is identified with Ramond-Ramond charge, and is carried only by D0 branes and their bound states. ... that new degrees of freedom, corresponding to five branes wrapped around the longitudinal and torus directions, must be added to the theory. The result is a previously discovered 5 + 1 di...
Ngày tải lên: 31/03/2014, 15:06