A novel interface engineering strategy is proposed to simultaneously achieve superior irradiation tolerance, high strength, and high thermal stability in bulk nanolayered composites of a model face-centered-cubic (Cu)/body-centered-cubic (Nb) system. By synthesizing bulk nanolayered Cu-Nb composites containing interfaces with controlled sink efficiencies, a novel material is designed in which n...

This report is devoted to the proof of the local (asymptotic) quadratic convergence of the serial block-Jacobi EVD algorithm for Hermitian matrices with multiple eigenvalues. At each iteration step, two off-diagonal blocks with the largest Frobenius norm are annihilated which is an extension of the ‘classical’ Jacobi approach to the block case.

A physical interpretation of the holographic principle is derived, using a specific non-local hidden-variable theory called the Cordus conjecture. We start by developing an explanation for the vacuum, and differentiate this from the void into which the universe expands. In this theory the vacuum comprises a fabric of discrete field elements generated by matter particules. The outside void into ...

A large manifold of nontrivial spin textures, including the stabilization of monopole-like fields, are generated by using a completely new and versatile approach based on the combination of superconductivity and magnetism. Robust, stable, and easily controllable complex spin structures are encoded, modified, and annihilated in a continuous magnetic thin film by defining a variety of magnetic st...

We study the dynamics of charged, spherically symmetric dust shells in presence a positive cosmological constant. find generalizations well-known solutions asymptotically flat spacetime, particular orbits into "parallel universes", but also new corresponding to "bounce" shell before an event horizon has formed. discuss "bubble" solutions, which charged and oppositely singularity are spontaneous...

Here we will consider examples of conformally flat manifolds that are conformally equivalent to open subsets of the sphere S. For such manifolds we shall introduce a Cauchy kernel and Cauchy integral formula for sections taking values in a spinor bundle and annihilated by a Dirac operator, or generalized Cauchy-Riemann operator. Basic properties of this kernel are examined, in particular we exa...

To every morphism χ : L → M of differential graded Lie algebras we associate a functors of artin rings Defχ whose tangent and obstruction spaces are respectively the first and second cohomology group of the cylinder of χ. Such construction applies to Hilbert and Brill-Noether functors and allow to prove with ease that every higher obstruction to deforming a smooth submanifold of a Kähler manifo...

It is now a good time to go back to the MZV story. where F (a, b; c; z) denotes the hypergeometric function and i = √ −1. Proof. Routine verification (with a help of Lemma 4.1 for the left-hand side) shows that the both sides of the required equality are annihilated by action of the differential operator (1 − z) d dz 2 z d dz 2 − t 4 ; in addition, the first terms in z-expansions of the both si...