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Trajectories Generated by Special Smarandache Curves According to Positional Adapted Frame
In differential geometry, the theory of curves has an important place. The concept of moving frames defined on curves is an important part of this theory. Recently, Ozen and Tosun have introduced a new moving frame for the trajectories with non-vanishing angular momentum in 3-dimensional Euclidean space (J. Math. Sci. Model. 4(1), 2021). This frame is called positional adapted frame. In the present study, we investigate the special trajectories generated by Smarandache curves according to positional adapted frame in E3 and we calculate the Serret-Frenet apparatus of these trajectories. Later, we consider a specific curve and obtain the parametric equations of the aforesaid special trajectories for this curve. Finally, we give the graphics of these obtained special trajectories which were drawn with the mathematica program. The results obtained here are new contributions to the field. We expect that these results will be useful in some specific applications of differential geometry and particle kinematics in the future.
Behçet’s Syndrome
Behçet’s Syndrome has seen great strides over the last two decades in the availability of new treatments and the understanding of underlying pathogenesis. Only 30 years ago the majority of particularly young men with Behçet’s lost total eye sight, now only a minority do. This book covers the most recent developments in the basic and clinical aspects of Behçet’s Syndrome. International authorities have collaborated to offer their diverse expert knowledge on the multiple affected organs and systems, including the skin, the eye, the brain, the lungs and not the least the gastrointestinal and the locomotor systems. A special chapter is devoted to juvenile disease. The definitive resource on Behçet’s Syndrome, this book is well suited for rheumatologists, dermatologists, ophthalmologists, neurologists, and health professionals caring for Behçet’s patients.
Türkistan’dan Anadolu’ya Esen Rüzgâr: Ahmet Yesevi (Karabatak #66)
Türkistan’dan Anadolu’ya Esen Rüzgâr: Ahmet Yesevi Ali Ural Yokken var olmak en büyük meselesidir insanın. Yeryüzüne yeni bir can gelmiştir. Kundağı ve kefeniyle gelmiştir. Yalnız doğduğu evin değil, bütün evlerin en büyük haberidir bu. Candır, canlandırmakla mükelleftir yeryüzünü. İmardır çünkü insanın vazifesi ve elleri yaptığı işleri sembolize eder. “Ellerinizin kazandığı yüzünden” (Şura, 30) ifadesi vardır vahiyde. Ne yapmışsak kendi ellerimizle yapmış, başımıza gelen musibetleri kendi ellerimizle hazırlamışızdır. Tartıda hile yapanları bekleyen azabı anlatır “Mutaffifîn” suresi. Düşünebiliyor musunuz surenin adı...
Studies at the Crossroads of Management & Economics
Business and economics, which are among the disciplines of social science, examine and discuss many issues affecting human life from various perspectives. In this context, prominent subjects in business and economics are examined by authors with different disciplines and approaches in this book. The book consists of three chapters: economıc theory and polıcy, financial accounting and auditing, strategic management and marketing. The subjects in each chapter are examined in an understandable way in accordance with the business managers, investors and researchers.
Complex Numbers in Geometry
Complex Numbers in Geometry focuses on the principles, interrelations, and applications of geometry and algebra. The book first offers information on the types and geometrical interpretation of complex numbers. Topics include interpretation of ordinary complex numbers in the Lobachevskii plane; double numbers as oriented lines of the Lobachevskii plane; dual numbers as oriented lines of a plane; most general complex numbers; and double, hypercomplex, and dual numbers. The text then takes a look at circular transformations and circular geometry, including ordinary circular transformations, axial circular transformations of the Lobachevskii plane, circular transformations of the Lobachevskii plane, axial circular transformations, and ordinary circular transformations. The manuscript is intended for pupils in high schools and students in the mathematics departments of universities and teachers' colleges. The publication is also useful in the work of mathematical societies and teachers of mathematics in junior high and high schools.
76 Company Book - LPG, LIQUEFIED AND COMPRESSED GASES
This book is the largest referral for Turkish companies.
Handbook of Research on Consumption, Media, and Popular Culture in the Global Age
The mass production and diversification of media have accelerated the development of popular culture. This has started a new trend in consumerism of desiring new consumption objects and devaluing those consumption objects once acquired, thus creating a constant demand for new items. Pop culture now canalizes consumerism both with advertising and the marketing of consumerist lifestyles, which are disseminated in the mass media. The Handbook of Research on Consumption, Media, and Popular Culture in the Global Age discusses interdisciplinary perspectives on media influence and consumer impacts in a globalizing world due to modern communication technology. Featuring research on topics such as consumer culture, communication ethics, and social media, this book is ideally designed for managers, marketers, researchers, academicians, and students.
Quaternions and Cayley Numbers
In essence, this text is written as a challenge to others, to discover significant uses for Cayley number algebra in physics. I freely admit that though the reading of some sections would benefit from previous experience of certain topics in physics - particularly relativity and electromagnetism - generally the mathematics is not sophisticated. In fact, the mathematically sophisticated reader, may well find that in many places, the rather deliberate progress too slow for their liking. This text had its origin in a 90-minute lecture on complex numbers given by the author to prospective university students in 1994. In my attempt to develop a novel approach to the subject matter I looked at com...
