This work presents a systematic method to successively minimize the state complexity of the self-dual lattices (in the sense that each section of the trellis has the minimum possible number of states xing its preceding coordinates). This is based on representing the lattice on an orthogonal coordinate system corresponding to the Gram-Schmidt (GS) vectors of a Korkin-Zolotarev (KZ) reduced basis...

We reconsider the earlier found solutions of the Knizhnik-Zamolodchikov (KZ) equations describing correlators based on the admissible representations of A (1) 1 . Exploiting a symmetry of the KZ equations we show that the original infinite sums representing the 4-point chiral correlators can be effectively summed up. Using these simplified expressions with proper choices of the contours we dete...

TOFu. Note that venous flow is evident in TOFu due to insufficient TSat application with the current 1-per-shot scheme. Figure 1: ky-kz plot of a variable density spiral phyllotaxis trajectory for the representative TOFu imaging slab, with net acceleration factor 3.8, 21 shots and 94 segments per shot. The blue dots represent acquired points on a regular Cartesian grid, while the green dots sho...

We reconsider the earlier found solutions of the Knizhnik-Zamolodchikov (KZ) equations describing correlators based on the admissible representations of A (1) 1 . Exploiting a symmetry of the KZ equations we show that the original infinite sums representing the 4-point chiral correlators can be effectively summed up. Using these simplified expressions with proper choices of the contours we dete...

We prove that if a lattice basis is nearly orthogonal (the angle between any basis vector and the linear subspace spanned by the other basis vectors is at least π3 radians), then a KZ-reduced basis can be obtained from it in polynomial time. We also show that if a nearly orthogonal lattice basis has nearly equal vector lengths (within a certain constant factor of one another), then the basis is...

Introduction PROPELLER [1] and Turboprop DWI [2] have shown advantages over traditional EPI DWI which include higher resolution, relative insensitivity to motion and robustness to off-resonance. In this work, we propose a new sequence dubbed TURBINE (TURBoprop IN Elevation), which adapts the TurboProp scheme to 3D DWI imaging. The potential benefits of this approach over EPI and turboprop inclu...

This article investigates dynamics of particles in the background non-rotating Konoplya and Zhidenko black hole, immersed an external uniform magnetic field. The work involves circular motion electrically magnetically charged particles. Analysis effective potential, specific energy, angular momentum are obtained discussed graphically. We center mass energy colliding vicinity KZ hole. Energy eff...

In an earlier work [6] we presented a simple FM-index variant, based on the idea of Huffman-compressing the text and then applying the Burrows-Wheeler transform over it. The main drawback of using Huffman was its lack of synchronizing properties, forcing us to supply another bit stream indicating the Huffman codeword boundaries. In this way, the resulting index needed O(n(H0+1)) bits of space b...

This result, obtained at the Stanford Linear Accelerator Center (SIX), is a prima facie demonstration of CP non-invariance in Kz" decay. It is consistent with theoretical expectations based upon an analysis of experimental data which has been obtained since the first such demonstration by Christenson, Cronin, Fitch and Turlay. (1) The analysis of KzO decay in terms of parameters characterizing ...