Transferring elements of a density matrix

Exact evaluation of density matrix elements for the Heisenberg chain

We have obtained all the density matrix elements on six lattice sites for the spin-1/2 Heisenberg chain via the algebraic method based on the quantum Knizhnik-Zamolodchikov equations. Several interesting correlation functions, such as chiral correlation functions, dimer-dimer correlation functions, etc... have been analytically evaluated. Furthermore we have calculated all the eigenvalues of th...

Transferring information from microtubules to extracellular matrix

Commentary to: Li S, Lei L, Somerville CR, Gu Y. Cellulose synthase interactive protein 1 (CSI1) links microtubules and cellulose synthase complexes. Proc Natl Acad Sci U S A 2012; 109:185– 90; PMID:22190487; http://dx.doi.org/10.1073/ pnas.1118560109 and Bringmann M, Li E, Sampathkumar A, Kocabek T, Hauser MT, Persson S. POM-POM2/cellulose synthase interacting1 is essential for the functional ...

Transferring Primitive Elements of Skill Within and Between Tasks

The primitive elements of skill theory proposes a set of approximately 2000 primitive information processing elements (PRIMs) (Taatgen, 2013) that compose all cognitive acts by combining and recombining to produce learning and transfer. By this theory, learning is transfer and transfer results from learning as the primitive elements combine to form new elements based on task demands and these m...

Elements of Matrix Algebra

Density of Normal Elements

Let f 2 Fq [x] be a monic polynomial of degree n, and let (f) denote the number of polynomials in Fq [x] of degree < n that are relatively prime to f . Let (f) = (f)=qn. We slightly improve the previous known lower bounds of (f). The density of normal elements in Fqn over Fq is (xn 1) = (xn 1)=qn. We prove that (xn 1) C > 0 for n = pe1 1 pe2 2 pet t where pi are any xed primes, ei vary, and C i...