A comparison on some facts concerning the geometric quantization of symplectic manifolds is presented here. Criticism and improvements sophisticated theory are touching briefly, all “salient points theory”. The unfamiliar reader can consider this as a “soft” introduction to topic.

Snake robots can contact their environments along their whole bodies. This distributed contact makes them versatile and robust locomotors, but also makes controlling them a challenging problem involving high-dimensional configuration spaces, with no direct way to break their motion down into “driving” and “steering” actions. In this paper, we use concepts from geometric mechanics—e.g., expanded...

In this paper we discuss the variety of planar spiral segments and their applications in objects in both the real and artificial world. The discussed curves with monotonic curvature function are well-known in geometric modelling and computer aided geometric design as fair curves, and they are very significant in aesthetic shape modelling. Fair curve segments are used for two-point G1 and G2 Her...

Let S be a set of n points in the plane, let E be the complete Euclidean graph whose point-set is S, and let G be the Delaunay triangulation of S. We present a very simple local algorithm that, given G, constructs a subgraph of G of degree at most 11 that is a geometric spanner of G with stretch factor 2.86, and hence a geometric spanner of E with stretch factor < 7. This algorithm gives an O(n...

‎In this paper first we define the morphism between geometric spaces in two different types‎. ‎We construct two categories of $uu$ and $l$ from geometric spaces then investigate some properties of the two categories‎, ‎for instance $uu$ is topological‎. ‎The relation between hypergroups and geometric spaces is studied‎. ‎By constructing the category $qh$ of $H_{v}$-groups we answer the question...

statement of problem: digital subtraction radiography (dsr) needs reproducible alignment between the x-ray source, the object, and the film for obtaining identical projections of the same anatomic region. purpose: the aim of this study was to evaluate the effect of bite registrations (placed on individual bite blocks) on the reproducibility of parallel periapical radiographs, obtained every 2 m...

geometric morphometric method was used to examine body shape variations among all the seven valid species of the genus alburnus in iran. in total 409 specimens of a. chalcoides, a. filippii, a. atropatenae, a. caeruleus, a. mossulensis, a. hohenackeri and a. zagrosensis were collected from babolrud, baleqlu-chai, miriseh, sarabeleh, gamasiyab, mahabad-chai rivers and the gandoman lagoon, respec...

landmark based geometric morphometrics and comparison of meristic characters was used to understand potential differences between populations of waspi in mashkil and mokran basins. 97 specimens of waspies were caught (64 from mashkil river and 33 from sarbaz river). 14 landmarks were digitized on pictures taken from left side of specimens and meristic characters were counted. data were analyzed...