open-channel junctions have a broad application in civil and environmental engineering. formation of a low-pressure zone with recirculating flow (high sedimentation) accompanied by a high-velocity zone (high erosion) is the most characteristic feature of flow in junctions. a large number of researches have been performed to study the complexity of the flow in junctions in open-channel flows. in...

Image translation, size scaling and rotation can be analyzed from a unified standpoint. Let for and denote a discrete destination image that is created by geometrical modification of a discrete source image for and . In this derivation, the source and destination images may be different in size. Geometrical image transformations are usually based on a Cartesian coordinate system representation ...

B-spline curves are defined in a piecewise way over a closed interval, where the interval section points are called knots. In some recent publications geometrical properties of the modification of one knot value are discussed. The aim of this paper is to describe an effect of the symmetric modification of two knots.

Hiroshi Sakaki Meisei University 2-590 Nagabuchi Ohme-shi Tokyo 198-8655 Japan sakaki@ei.meisei-u.ac.jp Summary This paper aims to construct concentrated modification structure from logical formula. First the matrix expression is extracted from the logical formula. Then, the matrix is transformed into geometrical structure called dependency structure equivalent to the former. Finally modificati...

This paper shortly describes Blender 3D modification and its use for the design of mechanical parts. The 3D modification of the Blender modeling system and experiments made brought interesting results especially from the human-computer interaction field. The modification relies on the stereoscopy based devices which are currently available at the market. However, the stereoscopy has some drawba...

The Dirac equation is expressed entirely in terms of geometrical quantities by providing a geometrical interpretation for the (−1) which appears explicitly in the Dirac equation. In the modification of the Dirac electron theory which ensues, the (−1) appears as the generator of rotations in the spacelike plane orthogonal to the plane containing the electron current and spin vectors. This amount...

Background. A theoretical model analysis of stress in the vestibular membranes has identified a geometrical stress factor incorporating shape, size, and thickness that can be used to assess peak stress in the various chambers. Methods. Using published measurements of the toadfish vestibular membranes made during surgery, the geometrical stress factor can be evaluated for each chamber based on t...

Some recent developments in grazing incidence small angle scattering (GISAS) technique are reviewed. The emphasis is on the application of GISAS to elucidating the effects of geometrical surface constraint on self-assembled systems and the effect of modification of interfaces or molecular subassemblies to direct the formation of more complex structures. D 2004 Elsevier Ltd. All rights reserved.