Embedded surfaces

Research Objective: Research and propose a novel adaptive trajectory tracking algorithm for FWOMR ‘s nonlinear uncertain model which is influenced by the change of robot parameters and the effect of noise when operating on another plane. Construct the physical model of FWOMR and the controller based on the microchip and embedded programming technique to experiment with the proposed algorithms.

27p extraenglish 24-05-2021 28 7   Download

Research and propose a novel adaptive trajectory tracking algorithm for FWOMR ‘s nonlinear uncertain model which is influenced by the change of robot parameters and the effect of noise when operating on another plane; construct the physical model of FWOMR and the controller based on the microchip and embedded programming technique to experiment with the proposed algorithms.

27p capheviahe27 23-02-2021 9 3   Download

Research and propose a novel adaptive trajectory tracking algorithm for FWOMR ‘s nonlinear uncertain model which is influenced by the change of robot parameters and the effect of noise when operating on another plane; construct the physical model of FWOMR and the controller based on the microchip and embedded programming technique to experiment with the proposed algorithms.

27p capheviahe27 23-02-2021 13 5   Download

We give a complete topological classification of properly embedded minimal surfaces in Euclidian three-space. 1. Introduction In 1980, Meeks and Yau [15] proved that properly embedded minimal surfaces of finite topology in R3 are unknotted in the sense that any two such homeomorphic surfaces are properly ambiently isotopic. Later Frohman [6] proved that any two triply periodic minimal surfaces in R3 are properly ambiently isotopic.

21p dontetvui 17-01-2013 60 6   Download

In this paper we will prove the Calabi-Yau conjectures for embedded surfaces (i.e., surfaces without self-intersection). In fact, we will prove considerably more. The heart of our argument is very general and should apply to a variety of situations, as will be more apparent once we describe the main steps of the proof later in the introduction.

34p dontetvui 17-01-2013 49 9   Download

In this paper we study some properties of reducible surfaces, in particular of unions of planes. When the surface is the central fibre of an embedded flat degeneration of surfaces in a projective space, we deduce some properties of the smooth surface which is the general fibre of the degeneration from some combinatorial properties of the central fibre. In particular, we show that there are strong constraints on the invariants of a smooth surface which degenerates to configurations of planes with global normal crossings or other mild singularities. ...

62p noel_noel 17-01-2013 50 6   Download

We study random surfaces which arise as height functions of random perfect matchings (a.k.a. dimer configurations) on a weighted, bipartite, doubly periodic graph G embedded in the plane. We derive explicit formulas for the surface tension and local Gibbs measure probabilities of these models. The answers involve a certain plane algebraic curve, which is the spectral curve of the Kasteleyn operator of the graph. For example, the surface tension is the Legendre dual of the Ronkin function of the spectral curve. The amoeba of the spectral curve represents the phase diagram of the dimer model.

39p noel_noel 17-01-2013 54 8   Download

In this paper we will discuss the geometry of finite topology properly embedded minimal surfaces M in R3 . M of finite topology means M is homeomorphic to a compact surface M (of genus k and empty boundary) minus a finite number of points p1 , ..., pj ∈ M , called the punctures. A closed neighborhood E of a puncture in M is called an end of M . We will choose the ends sufficiently small so they are topologically S 1 × [0, 1) and hence, annular. We remark that M is orientable since M is properly...

33p noel_noel 17-01-2013 61 6   Download

This paper is the fourth in a series where we describe the space of all embedded minimal surfaces of fixed genus in a fixed (but arbitrary) closed 3manifold. The key is to understand the structure of an embedded minimal disk in a ball in R3 . This was undertaken in [CM3], [CM4] and the global version of it will be completed here; see the discussion around Figure 12 for the local case and [CM15] for some more details. Our main results are Theorem 0.1 (the lamination theorem) and Theorem 0.2 (the one-sided curvature estimate). ...

44p tuanloccuoi 04-01-2013 64 7   Download

Annals of Mathematics This paper is the third in a series where we describe the space of all embedded minimal surfaces of fixed genus in a fixed (but arbitrary) closed 3-manifold. In [CM3]–[CM5] we describe the case where the surfaces are topologically disks on any fixed small scale. Although the focus of this paper, general planar domains, is more in line with [CM6], we will prove a result here (namely, Corollary III.

51p tuanloccuoi 04-01-2013 47 9   Download

The space of embedded minimal surfaces of fixed genus in a 3-manifold II; Multi-valued graphs in disks By Tobias H. Colding and William P. Minicozzi II* 0. Introduction This paper is the second in a series where we give a description of the space of all embedded minimal surfaces of fixed genus in a fixed (but arbitrary) closed 3-manifold. The key for understanding such surfaces is to understand the local structure in a ball and in particular the structure of an embedded minimal disk in a ball in R3 . We show here that if the curvature of such a disk...

25p tuanloccuoi 04-01-2013 50 6   Download

This paper is the first in a series where we describe the space of all embedded minimal surfaces of fixed genus in a fixed (but arbitrary) closed Riemannian 3-manifold. The key for understanding such surfaces is to understand the local structure in a ball and in particular the structure of an embedded minimal disk in a ball in R3 (with the flat metric). This study is undertaken here and completed in [CM6]. These local results are then applied in [CM7] where we describe the general structure of fixed genus surfaces in 3-manifolds. There are two local models for...

43p tuanloccuoi 04-01-2013 70 7   Download

Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: The role of the surfaces in the photon absorption in Ge nanoclusters embedded in silica

7p sting05 09-02-2012 38 5   Download

Tuyển tập các báo cáo nghiên cứu khoa học ngành toán học tạp chí toán học quốc tế đề tài: On the connectivity of graphs embedded in surfaces II

27p lame_266 12-09-2011 54 4   Download