The horizontal wavenumber spectra of wind and temperature near the tropopause have a steep 23 slope at synoptic scales and a shallower 25/3 slope at mesoscales, with a transition between the two regimes at a wavelength of about 450 km. Here it is demonstrated that a quasigeostrophic model driven by baroclinic instability exhibits such a transition near its upper boundary (analogous to the tropo...

Helioseismology provides a powerful tool to explore the deep interior of the Sun. Measurements of solar interior quantities are provided with unprecedented accuracy: for example, the adiabatic sound speed c can be inferred with an accuracy of a few parts in 10. This has become a serious challenge to theoretical models of the Sun. Therefore, we have undertaken a self-consistent, systematic study...

In this section we will give an (extremely) brief Introduction to the concept of interior point methods • Logarithmic Barrier Method • Method of Centers We have previously seen methods that follow a path On the boundary of the feasible region (Simplex). As the name suggest, interior point methods instead Follow a path through the interior of the feasible region.

OBJECTIVE This work aims to perform a biomechanical test to evaluate the effect of interior supporting system and tantalum rod in simulating the treatment of ischemic necrosis of the femoral head. METHOD Three models were established: control group (group A), interior supporting system group (group B), and tantalum rod group (group C). Step-by-step loading was applied on the top of the femora...

In this report a thematic, formal model for classification of the interior of buildings is created. Firstly, a description of how objects can be reconstructed from laser scanning point clouds is given. Secondly, the thematic, formal model is described. Thirdly, how to store this model in a database is described. At the moment, the need for an accurate description of the interior of buildings (‘...

The periodic Toda lattice with N sites is globally symplectomorphic to a two parameter family of N-1 coupled harmonic oscillators. The action variables fill out the whole positive quadrant of R(N-1). We prove that in the interior of the positive quadrant as well as in a neighborhood of the origin, the Toda Hamiltonian is strictly convex and therefore Nekhoroshev's theorem applies on (almost) al...

In this paper we extend the Summation–by–parts–simultaneous approximation term (SBP–SAT) technique to the Schrödinger equation. Stability estimates are derived and the accuracy of numerical approximations of interior order 2m, m = 1, 2, 3, are analyzed in the case of Dirichlet boundary conditions. We show that a boundary closure of the numerical approximations of order m lead to global accuracy...

We describe an algorithm for computing the skeleton (medial-axis SIII'face) of an object defined using constructive solid geometry (CSG). This surface is the locus of all points in the object's interior that have equal minimum distance from at least two distinct parts of the boundary, The skeleton can be used in blending, motion planning, medical tomography, computer vision, and in mesh generat...