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Investigation of Special Type-Π Smarandache Ruled Surfaces Due to Rotation Minimizing Darboux Frame
This study begins with the construction of type-Π Smarandache ruled surfaces, whose base curves are Smarandache curves derived by rotation-minimizing Darboux frame vectors of the curve in E3. The direction vectors of these surfaces are unit vectors that convert Smarandache curves. The Gaussian and mean curvatures of the generated ruled surfaces are then separately calculated, and the surfaces are required to be minimal or developable. We report our main conclusions in terms of the angle between normal vectors and the relationship between normal curvature and geodesic curvature. For every surface, examples are provided, and the graphs of these surfaces are produced.
Der Niederrheinische Orientbericht, C.1350
First English translation and detailed commentary of a fourteenth-century Low-German work about the Near and Middle East. That extensive travel took place during the Middle Ages has long been established, via such accounts as, for example, Marco Polo's Devisement du Monde; but there remains a relative paucity of documents or narratives confirming and dealing with this phenomenon. Der Niederrheinische Orientbericht ("An Account of the Middle East"), composed around 1350/55 by an anonymous author in Low German, is powerful evidence of international relations between east and west during this period; it provides extensive information, dealing with such matters as the local culture, fauna and fl...
On Geometry of Equiform Smarandache Ruled Surfaces via Equiform Frame in Minkowski 3-Space
In this paper, some geometric properties of equiform Smarandache ruled surfaces in Minkowski space E13 using an equiform frame are investigated. Also, we give the sufficient conditions that make these surfaces are equiform developable and equiform minimal related to the equiform curvatures and when the equiform base curve contained in a plane or general helix. Finally, we provide an example, such as these surfaces.
Proceedings of 16th European Nephrology Conference 2017
October 02-03, 2017 Barcelona, Spain Key Topics : Nephrology, Etiology,Renal Pathology-Immunology, Kidney and Bladder Stones, Acute Kidney Injury, Chronic Kidney Diseases, End Stages Renal Diseases, Glomerular Disorders, Kidney cancer, Hypertension Associated with Kidney Diseases, Diabetic Nephropathy, Pediatric Nephrology, Clinical Nephrology, Treatment and Surgery for Renal Diseases, Dialysis and Renal Care, Diagnostic,Imaging and Radiation techniques, Kidney Transplantation, Renal Nutrition,Inflammation, and Metabolism, Drugs for Kidney Diseases, Nephrologists & Entrepreneurs Investment Meet, Urology/Urinary tract infections, Fluid, Electrolytes, and Acid-Base,
Applications of Fractional Calculus to Modeling in Dynamics and Chaos
Applications of Fractional Calculus to Modeling in Dynamics and Chaos aims to present novel developments, trends, and applications of fractional-order derivatives with power law and Mittag-Leffler kernel in the areas of chemistry, mechanics, chaos, epidemiology, fluid mechanics, modeling, and engineering. Non-singular and non-local fractional-order derivatives have been applied in different chapters to describe complex problems. The book offers theory and practical applications for the solutions of real-life problems and will be of interest to graduate-level students, educators, researchers, and scientists interested in mathematical modeling and its diverse applications. Features Discusses real-world problems, theory, and applications Covers new developments and advances in the various areas of nonlinear dynamics, signal processing, and chaos Suitable to teach master’s and/or PhD-level graduate students, and can be used by researchers, from any field of the social, health, and physical sciences
Special Functions in Fractional Calculus and Engineering
Special functions play a very important role in solving various families of ordinary and partial differential equations as well as their fractional-order analogs, which model real-life situations. Owing to the non-local nature and memory effect, fractional calculus is capable of modeling many situations which arise in engineering. This book includes a collection of related topics associated with such equations and their relevance and significance in engineering. Special Functions in Fractional Calculus and Engineering highlights the significance and applicability of special functions in solving fractional-order differential equations with engineering applications. This book focuses on the no...
Fractional-Order Modeling of Dynamic Systems with Applications in Optimization, Signal Processing, and Control
Fractional-order Modelling of Dynamic Systems with Applications in Optimization, Signal Processing and Control introduces applications from a design perspective, helping readers plan and design their own applications. The book includes the different techniques employed to design fractional-order systems/devices comprehensively and straightforwardly. Furthermore, mathematics is available in the literature on how to solve fractional-order calculus for system applications. This book introduces the mathematics that has been employed explicitly for fractional-order systems. It will prove an excellent material for students and scholars who want to quickly understand the field of fractional-order s...
Medical Imaging and Computer-Aided Diagnosis
This book covers virtually all aspects of image formation in medical imaging, including systems based on ionizing radiation (x-rays, gamma rays) and non-ionizing techniques (ultrasound, optical, thermal, magnetic resonance, and magnetic particle imaging) alike. In addition, it discusses the development and application of computer-aided detection and diagnosis (CAD) systems in medical imaging. Given its coverage, the book provides both a forum and valuable resource for researchers involved in image formation, experimental methods, image performance, segmentation, pattern recognition, feature extraction, classifier design, machine learning / deep learning, radiomics, CAD workstation design, human–computer interaction, databases, and performance evaluation.
