We introduce new Bézier-like formulas with quaternionic weights for rational curves and surfaces in Euclidean 3-space. They are useful for representation of Möbius invariant geometric objects. Any Bézier curves and surfaces on 2-spheres can be converted to the quaternionic Bézier (QB) form of twice lower degree. Our focus is on bilinear QB-surfaces: we derive their implicitization formula and s...

Geometric Analysis for the Cell Coverage Extension with Wireless Relay Seon-Yeong Park Department of Electrical and Electronic Eng. The Graduate School Yonsei University In this thesis, we propose the method to extend the original cell coverage covered by single source node from the viewpoint of geometric analysis. We propose the capacity theorem over our geometric model. In cell environment, w...

analyzing the nonlinear vibration of beams is one of the important issues in structural engineering. according to this, an impressive analytical method which is called modified iteration perturbation method (mipm) is used to obtain the behavior and frequency of a cantilever beam with geometric nonlinear. this new method is combined by the mickens and iteration methods. moreover, this method don...

In this study, we determined that some micromorphological structures of plants have geometric models and mathematical formulas. There are specialized in perform tasks such as making usable, storing transmitting the products formed a result metabolic activities. These take different shapes depending on complexity their functions. enable them to duties most efficient way. As examinations under mi...