This paper considers a kind of design ruled surface. The interconnects some concepts from the fields computer-aided geometric (CAGD) and kinematics. Dual unit spherical Bézier-like curves on dual sphere (DUS) are obtained by novel method with respect to control points. A curve corresponds surface using Study’s transference principle closed surfaces determined via points also, integral invariants these investigated. Finally, results illustrated several examples motion interpolation was shown...

In this paper, a novel control algorithm has been proposed to regulate the DC bus voltage of single phase shunt active power filter using fuzzy logic controller. The should be controlled compensate losses on grid. many industrial applications, PI controller is generally used filters. error signal caused by computed firstly. Then compensated Simulation model with designed Matlab/Simulink/Simpower and Fuzzy Toolbox. simulation results show that compensates grid improves quality reducing total...

In this paper, we define the neutrosophic valued (and generalized or G) metric spaces for first time. Besides, newly determine a mathematical model clustering big data sets using G-metric. Furthermore, relative weighted neutrosophic-valued distance and cohesion measure, is defined set. We offer very practical method analysis of although type (neutrosophic data) are in massive detailed form when compared with other types.

In this paper, a geometric model is introduced for Neutrosophic data problem the first time. This based on neutrosophic sets and relations. control points are defined according to these points, resulting in Bézier curves.

The purpose of this paper is to find the quantities and surfaces a line congruence via examining it in dual space represent results more appropriately for computational approximations. For this, we take mainly two-dual parameter motion on unit sphere (DUS) so, get corresponding by new method. Thus, equations developable surfaces, principal focal center surface are found coordinate functions. illustrated examples.

In this paper, we define spacelike line congruence, which has the parameter ruled surfaces as principal surfaces, on dual unit hyperbolic sphere H 2 + in Lorentzian 3-space D 31 .We carry obtained results to 3-dimensional Minkowski space E 3 1 by means of E. Study's coordinates.

This study presents a smart agriculture mechanism model equipped with neutrosophy theory for the first time. The is created by meticulously bringing together fields of decision making, IoT and cloud computing. We have demonstrated that can be used in integration neutrosophic, integrated IoT. making much more detailed calculations taking into account using uncertainty situations neutrosophic numbers logic, automating both geometric analysis soil surface control numerical data environment agriculture.

Ruled surfaces play an important role in various types of design, architecture, manufacturing, art, and sculpture. They can be created a variety ways, which is topic that has been the subject much discussion mathematics engineering journals. In geometric modelling, ideas are successful if they not too complex for engineers practitioners to understand difficult implement, because these specialists put mathematical theories into practice by implementing them CAD/CAM systems. Some popular...

By utilizing the Darboux frames, along with a regular surface whose parametric curves are lines of curvature, we analyzed normal line congruence which preserves asymptotic between its focal surfaces. This allows deriving systems partial differential equations through problem determining director and corresponding could be solved. Moreover, necessary sufficient condition that surfaces degenerates into is derived. As result, middle presented as new interrogation tool.

The role of differential geometry in describing a curve can not be denied. forms defined for Bézier curves which are widely used computer aided geometric design, plays significant classification and image processing curves. For this reason, the definitions such as Serret-Frenet frame, curvature torsion described very important design. In paper, addition to these we have also new by applying angular planar computational control polygon.

The main goal of this paper is to construct Bezier surface modeling for neutrosophic data problems.We show how build the model over a sample from agriculture science after theoretical structure introduced. As sampler application systems, we give visualization an estimation given yield bean seeds grown in field period.

Objective: The aortic valve complex is an anatomical and a physiological junctional structure. Its root morphology presents structure extending from the ventriculoarterial to sinotubular junction consisting of three Valsalva sinuses cusps achieve optimal pump function left ventricle. In this research study, geometric model was created allowing input make it applicable in cardiac surgery. Material Methods: has consistent shape that can be described mathematically, dependent on diameter....

The aim of this work is to define quaternion curves and surfaces their conjugates via operators in Euclidean projective geometric algebra (EPGA). In space, quaternions were obtained by the product vector fields. New fields, which we call trajectory surfaces, using new operator. Moreover, dual are determined a similar method then generated motion studied. Illustrative examples given.