Frontier-based exploration is the most common approach to exploration, a fundamental problem in robotics. In frontier-based exploration, robots explore by repeatedly computing (and moving towards) frontiers, the segments which separate the known regions from those unknown. However, most frontier detection algorithms process the entire map data. This can be a time consuming process which slows d...

in this paper, the behavior of free vibrations and buckling of the sandwich panel with a flexible core was investigated using a new improved ‎high-order sandwich panel theory. in this theory, equations of motion were formulated based on shear stresses in the core. first-order shear deformation theory was ‎applied for the procedures. in this theory, for the first time, incompatibility problem of...

Geometry approach to the theoretical and experimental investigations of peristaltic waves based on the travelling deformation waves and wave mass transfer theory (Dobrolyubov, 1991) is presented. The theory of travelling deformation waves is employed to determine uniformed expressions for mass transfer capability parameters of peristalsis. Slow (quasi-static) wave motion is considered which per...

We employ generalized complex geometry to investigate supersymmetric embeddings of D-brane probes in a large class of SU(2) structure manifolds. This class includes the gravity dual of mass deformation and marginal beta deformation of N = 4 SYM gauge theory. We find supersymmetric configurations of D-branes with different dimensionality and propose their interpretation in the dual gauge theory.

between the K-theory of locally free modules on the non-commutative infinitesimal site and hypercohomology K-theory of free modules. These K-theory results are obtained as a very particular case of a general construction. The input of this construction consists of a category C equipped with a suitable notion of infinitesimal deformation, (e.g. C=rings, deformation=surjection with nilpotent kern...

A Lie atom is essentially a pair of Lie algebras and its deformation theory is that of a deformation with respect to the first algebra, endowed with a trivialization with respect to the second. Such deformations occur commonly in Algebraic Geometry, for instance as deformations of subvarieties of a fixed ambient variety. Here we study some basic notions related to Lie atoms, focussing especiall...

We prove several formulas related to Hodge theory and the Kodaira-SpencerKuranishi deformation theory of Kähler manifolds. As applications, we present a construction of globally convergent power series of integrable Beltrami differentials on Calabi-Yau manifolds, and use an iteration method to construct global canonical families of holomorphic (n, 0)-forms on the deformation spaces of Kähler ma...

Recently, a one-parameter deformation of the Maldacena-Núñez background was constructed in hep-th/0505100. According to the Lunin-Maldacena conjecture, the background is dual to pure N = 1 SYM in the IR coupled to a KK sector whose dynamics is altered by a dipole deformation that is proportional to the deformation parameter γ. Thus, the deformation serves to identify the aspects of the gravity ...

A systematic study of the ground-state properties of even-even rare earth nuclei has been performed in the framework of the Relativistic MeanField (RMF) theory using the parameter set NL-SH. Nuclear radii, isotope shifts and deformation properties of the heavier rare-earth nuclei have been obtained, which encompass atomic numbers ranging from Z=60 to Z=70 and include a large range of isospin. I...

そこで本研究では、FFD の格子を自動生成し、オリジ ナルの FFD の柔軟性を保ちつつ、ユーザによる 3 次元 モデルの変形を支援する手法を提案する。我々の手法 は、まずモデルのバウンディングボックスを生成し、 それを初期格子とする。その初期格子から階層的に新 たな格子を生成することで、多重解像度格子という格 子集合を作り出し、ユーザがその中から目的に沿った 適切な格子、すなわち大域的な変形のための少数の制 御点を持つ格子や、局所的な変形のための変形対象領 域の形状をよく近似する格子を選択できるようにする。 さらに、変形前の格子だけでなく、ユーザによって変 形された格子から新たな格子の生成を行うことで、階 層的変形を行うことができる。階層的変形を用いるこ とで、格子をバウンディングボックスから再定義する ことなく、大域的な変形から局所的な変形、またはそ の逆といったようにモデルを階...