We present a theoretical study of spin transport through an asymmetry ring in which the Rashba spin-orbit interaction (RSOI) is the dominant spin-splitting mechanism. The left part and the right part of the asymmetry ...
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Large-scale genomics demands computational methods that scale sublinearly with the growth of data. We review several data structures and sketching techniques that have been used in genomic analysis methods. Specifical...
Large-scale genomics demands computational methods that scale sublinearly with the growth of data. We review several data structures and sketching techniques that have been used in genomic analysis methods. Specifically, we focus on four key ideas that take different approaches to achieve sublinear space usage and processing time: compressed full-text indices, approximate membership query data structures, locality-sensitive hashing, and minimizers schemes. We describe these techniques at a high level and give several representative applications of each.
Almost all physical phenomena can be mathematically described in terms of differential equations. The finite element method is a tool for the appro- mate solution of differential equations. However, despite the extens...
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ISBN:
(数字)9783642559365
ISBN:
(纸本)9783540429869;9783642627552
Almost all physical phenomena can be mathematically described in terms of differential equations. The finite element method is a tool for the appro- mate solution of differential equations. However, despite the extensive use of the finite element method by engineers in the industry, understanding the principles involved in its formulation is often lacking in the common user. As an approximation process, the finite ele~ent method can be for- lated with the general technique of weighted residuals. This technique has the advantage of enhancing the essential unity of all processes of approxi- tion used in the solution of differential equations, such as finite differences, finite elements and boundary elements. The mathematics used in this text, though reasonably rigorous, is easily understood by the user with only a basic knowledge of Calculus. A common problem to the courses of engineering is to decide about the best form to incorporate the use of computers in education. Traditional c- pilers, and even integrated programming environments such as Turbo Pascal, are not the most appropriate, since the student has to invest much time in developing an executable program that, in the best of cases, will be able to solve only one definitive type of problems. Moreover, the student ends up learning more about programming than about the problem that he/she wants to solve with the developed executable program.
The spin dependent transport through asymmetric double barrier magnetic tunnel junction system is theoretically studied, based on the non-equilibrium Green's function obtained via the equation of motion method. In...
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The coupling of an electron to an electromagnetic field is usually described by U(1) gauge fields in the Hamiltonian, whose gradient and curvature yield the electric and magnetic fields, respectively. We apply this ga...
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We report 24-30 nm spherical barium ferrite (S-BaFe) particles having extremely narrow size distribution without any superparamagnetic phase. We have converted spherical magnetite (S-Mag) nanoparticles to S-BaFe nanop...
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This third edition presents an expanded and updated treatment of convex analysis methods, incorporating many new results that have emerged in recent years. These additions are essential for grasping the practical appl...
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ISBN:
(数字)9783031719677
ISBN:
(纸本)9783031719660;9783031719691
This third edition presents an expanded and updated treatment of convex analysis methods, incorporating many new results that have emerged in recent years. These additions are essential for grasping the practical applications of convex function theory in solving contemporary real-world problems.
To reflect these advancements, the material has been meticulously reorganized, with a greater emphasis on topics relevant to current research. Additionally, great care has been taken to ensure that the text remains accessible to a broad audience, including both students and researchers focused on the application of mathematics.
Ideal for undergraduate courses, graduate seminars, or as a comprehensive reference, this book is an indispensable resource for those seeking to understand the extensive potential of convex function theory.
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