We study the Plateau problem restricted to polynomial surfaces using techniques coming from the theory of Computer Aided Geometric Design. The results can be used to obtain polynomial approximations to minimal surfaces. The relationship between harmonic Bézier surfaces and minimal surfaces with free boundaries is shown.

Between January 31 and May 7, 2009, the Giza Plateau mapping project team worked at the flagship Heit el-Ghurab (HeG) site (aka Lost City site) and up on the Giza Plateau at the Khentkawes Town (KKT), the settlement attached to the monument of Queen Khentkawes I (fig. 1).1 We embedded the Ancient Egypt Research Associates (AERA) Advanced Field School for Supreme Council of Antiquities (SCA) ins...

The magnetization process of the S = 1 and 1/2 kagomé Heisenberg antiferromagnet is studied by means of the numerical exact diagonalization method. It is found that the magnetization curve at zero temperature has a plateau at 1/3 of the full magnetization. In the presence of √ 3 × √ 3 lattice distortion, this plateau is enhanced and eventually the ferrimagnetic state is realized. There also app...

[1] High topography in central Asia is perhaps the most fundamental expression of the Cenozoic Indo-Asian collision, yet anunderstandingof the timingandratesofdevelopmentof theTibetan Plateau remains elusive. Here we investigate the Cenozoic thermal historiesofrocksalongtheeasternmarginof theplateauadjacent to the Sichuan Basin in an effort to determine when the steep topographic escarpment tha...

We investigate the association between the radio “plateau” states and the large superluminal flares in GRS 1915+105 and propose a qualitative scenario to explain this association. To investigate the properties of the source during a superluminal flare, we present GMRT observations during a radio flare which turned out to be a pre-plateau flare as shown by the contemporaneous Ryle telescope obse...

the present article investigates the administrative structure of the pottery mound from an administrative management point of view. data obtained from excavation of the pottery mound has generated an extensive archeological databank relating to the beginning of the historical era with a focus on the emergence of management and administrative systems in the central iranian plateau. in the proto-...

studying crustal and upper mantel structures has been limited in the iranian plateau and there has been little work done in this field. in this paper we have a primary motive to map pn and sn velocities beneath most of the iranian plateau in order to test 3-d mantle models and to develop and test a method to produce pn and sn travel time correction surfaces that are the 3-d analogue of travel t...

The Great Basin and Plateau encompass a vast region of western North America bracketed on the west by the Sierra Nevada and Cascade mountains and the east by the Rocky Mountains (Figure 1). The region is diverse but characterized by ecologically limiting, generally more arid conditions, and higher elevations than other parts of North America. It is also characterized by a type of archaeology th...

We study/construct (proper and non-proper) Morse functions f on complete Riemannian manifolds X such that the hypersurfaces f(x) = t for all −∞ < t < +∞ have positive mean curvatures at all non-critical points x ∈ X of f . We show, for instance, that if an X admits no such (not necessarily proper) function, then it contains a (possibly, singular) complete (possibly, compact) minimal hypersurfac...

we usewe use ml shear wave velocity to derive a high resolution 2d ml shear wave velocity map for the iranian plateau. the ml amplitudes and arrival times are routinely measured for the calculation of local magnitude. ml shear wave velocity is very sensitive to the lateral change of crustal thickness and switches between the velocity of lg and sn waves. an lg wave will die out as soon as encoun...