We perform a detailed study of bosonic type IIA string theory in a large light-cone momentum / near plane wave limit of AdS4 × CP3. In order to attain this we derive the Hamiltonian up to cubic and quartic order in number of fields and calculate the energies for string excitations in a R×S2×S2 subspace. The computation for the string energies is performed for arbitrary length excitations utiliz...

Large plane displays are often achieved by combining tiled imaging elements, which give the appearance of a single, seamless display. However, this is difficult to realize in practical use, since differences in color will make the tiles distinct even if the geometric calibration is perfect. The paper presents an approach of color calibration using cubic Bspline. According to the theory of cubic...

We prove that for any set E ⊆ Z with upper Banach density d(E) > 0, the set “of cubic configurations” in E is large in the following sense: for any k ∈ N and any ε > 0, the set {(n1, . . . , nk) ∈ Z k : d( ⋂ e1,...,ek∈{0,1} (E − (e1n1 + · · ·+ eknk))) > d (E) k − ε} is an AVIP0set. We then generalize this result to the case “of polynomial cubic configurations” e1p1(n) + · · · + ekpk(n) where th...

We constructed computer-based simulations of the lattice dynamical properties of plutonium using an electronic structure method, which incorporates correlation effects among the f-shell electrons and calculates phonon spectra at arbitrary wavelengths. Our predicted spectrum for the face-centered cubic delta phase agrees well with experiments in the elastic limit and explains unusually large she...

We analyze two models of random geometries : planar hyper-cubic random surfaces and four dimensional simplicial quantum gravity. We show for the hyper-cubic random surface model that a geometrical constraint does not change the critical properties of the model compared to the model without this constraint. We analyze the phase diagram for the model with extrinsic curvature. For four dimensional...

Segmentation of sequences is an important modeling primitive with several applications. Training and inference of segmentation models involves dynamic programming computations that in the worst case can be cubic in the length of a sequence. In contrast, typical sequence labeling models require linear time. We propose an alternative graphical model for efficient sharing of potentials across over...

We consider the large data scattering problem for 2D and 3D cubic-quintic nonlinear Schrödinger equation in focusing-focusing regime. Our attention is firstly restricted to space, where cubic nonlinearity L2-critical. establish a new type of criterion that uniquely determined by mass initial data, which differs from classical setting based on Lyapunov functional. At end, we formulate solely mas...

Synthesis of river-monitoring data reveals that the average annual discharge of fresh water from the six largest Eurasian rivers to the Arctic Ocean increased by 7% from 1936 to 1999. The average annual rate of increase was 2.0 +/- 0.7 cubic kilometers per year. Consequently, average annual discharge from the six rivers is now about 128 cubic kilometers per year greater than it was when routine...