We calculate the spectrum of the matrix M ′ of Neumann coefficients of the Witten vertex, expressed in the oscillator basis including the zero-mode a0. We find that in addition to the known continuous spectrum inside [− 3 , 0) of the matrixM without the zero-modes, there is also an additional eigenvalue inside (0, 1). For every eigenvalue, there is a pair of eigenvectors, a twist-even and a twi...

This article presents several numerical algorithms for computations in sheaf cohomology. Let X be an algebraic set defined by a system of homogeneous multivariate polynomials with coefficients in C. Let C be a union of reduced, irreducible pure-dimensional curve components of X. The first algorithm computes the dimension of the first cohomology of any twist of the ideal sheaf of C. Let D be a r...

With the growing precision of data for light– cone dominated hard scattering processes like DIS, DVCS and various (semi) exclusive processes a better perturbative understanding of QCD concerning higher twist contributions is required. Thereby the nonlocal light–cone expansion (LCE) is optimally adapted since the same nonlocal LC operator, and its anomalous dimension, are related to different ph...

This paper investigates potential improvements that can be accomplished by integral twist-actuated rotor blades regarding helicopter performance and its vibration. The twist deformation is obtained using anisotropic piezocomposite actuators embedded in the composite blade construction. A four-bladed fullyarticulated Active Twist Rotor (ATR) system was built and tested at Langley Transonic Dynam...

For a general class of unitary quantum maps, whose underlying classical phase space is divided into ergodic and non-ergodic components, we prove analogues of Weyl’s law for the distribution of eigenphases, and the Schnirelman-Zelditch-Colin de Verdière Theorem on the equidistribution of eigenfunctions with respect to the ergodic components of the classical map (quantum ergodicity). We apply our...

background : antivenom is still widely used in the treatment of envenomation as there are no vaccines or other effective agents available against animal venoms. recently, neurotoxins named birtoxin family have been described from parabuthus transvaalicus and androctonus crassicauda. the aim of the present study was to test the antibirtoxin antibodies for their ability to neutralize the lethal e...