Based on the original image of plants leaves, the edge detection method will be used to extract the geometrical morphology of leaves. The characteristic points of the contour can be calculated by Harris method. The characteristic points will be used to construct the cubic Bezier curve fitting of contours of leaves, the leaf vein is generated by L system. Finally, the simulation drawing of plant...

Via structures in multi-layer printed circuit boards (PCBs) and packages are studied using an equivalent transmission line model. Thus, transmission line theories, such as characteristic impedance and propagation constant, can be used to characterize the performance of via structures in a signal path. The closed-form expressions of R, L, G, C parameters of the equivalent transmission line model...

In the paper the main attention is paid to conditions on algebras from a given variety Θ which provide coincidence of their algebraic geometries. The main part here play the notions mentioned in the title of the paper.

The Raychaudhuri equation is derived by assuming geometric flow in space–time M of n+1 dimensions. turns into a harmonic oscillator form under suitable transformations. Thereby, relation between geometrical entropy and mean geodesic deviation established. This has connection to chaos theory where the trajectories diverge exponentially. We discuss its application cosmology black holes. Thus, we ...

Recent results concerning the topological properties of random geometrical sets have been successfully applied to the study of the morphology of clusters in percolation theory. This approach provides an alternative way of inspecting the critical behaviour of random systems in statistical mechanics. For the 2d q-states Potts model with q ≤ 6, intensive and accurate numerics indicates that the av...

This paper describes fractal approaches to the problems which associate with visualizing huge hierarchies. The geometrical characteristic of a fractal, selfsimilarity, allows users to visually interact with a huge tree in the same manner at every level of the tree. The fractal dimension, a measure of complexity, makes it possible to control the total amount of displayed nodes. A prototype visua...

in this study, geometrical, gravimetrical and frictional properties of four common varieties of iranian canola seeds (namely: slm, hyola, okapi, orient), containing the mean moisture value of 6.5% (w.b.) were investigated. geometrical and gravimetrical properties included length, diameter, geometric mean diameter, sphericity, thousand seed mass, volume, true density, bulk density and porosity. ...

Schanuel has pointed out that there are mathematically interesting categories whose relationship to the ring of integers is analogous to the relationship between the category of finite sets and the semi-ring of non-negative integers. Such categories are inherently geometrical or topological, in that the mapping to the ring of integers is a variant of Euler characteristic. In these notes, I sket...

The notion of a scalar equation describing pseudo-spherical surfaces is reviewed. It is shown that if an equation admits this structure, the existence of conservation laws, symmetries, and quadratic pseudo-potentials, can be studied by geometrical means. As an application, it is pointed out that the important Camassa–Holm and Hunter–Saxton equations possess features considered to be characteris...