Products related to Finite:
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Finite Element Analysis for Biomedical Engineering Applications
Finite element analysis has been widely applied to study biomedical problems.This book aims to simulate some common medical problems using finite element advanced technologies, which establish a base for medical researchers to conduct further investigations. This book consists of four main parts: (1) bone, (2) soft tissues, (3) joints, and (4) implants.Each part starts with the structure and function of the biology and then follows the corresponding finite element advanced features, such as anisotropic nonlinear material, multidimensional interpolation, XFEM, fiber enhancement, UserHyper, porous media, wear, and crack growth fatigue analysis.The final section presents some specific biomedical problems, such as abdominal aortic aneurysm, intervertebral disc, head impact, knee contact, and SMA cardiovascular stent.All modeling files are attached in the appendixes of the book. This book will be helpful to graduate students and researchers in the biomedical field who engage in simulations of biomedical problems.The book also provides all readers with a better understanding of current advanced finite element technologies. Details finite element modeling of bone, soft tissues, joints, and implants Presents advanced finite element technologies, such as fiber enhancement, porous media, wear, and crack growth fatigue analysis Discusses specific biomedical problems, such as abdominal aortic aneurysm, intervertebral disc, head impact, knee contact, and SMA cardiovascular stent Explains principles for modeling biology Provides various descriptive modeling files
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Finite Geometries
Finite Geometries stands out from recent textbooks about the subject of finite geometries by having a broader scope.The authors thoroughly explain how the subject of finite geometries is a central part of discrete mathematics.The text is suitable for undergraduate and graduate courses.Additionally, it can be used as reference material on recent works.The authors examine how finite geometries’ applicable nature led to solutions of open problems in different fields, such as design theory, cryptography and extremal combinatorics.Other areas covered include proof techniques using polynomials in case of Desarguesian planes, and applications in extremal combinatorics, plus, recent material and developments.Features: Includes exercise sets for possible use in a graduate course Discusses applications to graph theory and extremal combinatorics Covers coding theory and cryptography Translated and revised text from the Hungarian published version
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Infinite in Finite
A London Review Bookshop Book of the Year. Infinite in Finite develops the inimitable style of The Multiverse, the author's first collection (2018), praised as showing 'some of the best technical skills of any living poet', the work of 'one who is not afraid of big subjects, whose enthusiastic gaze is directed outward with energy and gladness'.Then Auden and the Romantics lighted his way. To those influences are now added the challenges of a Modernist style, drawing on Marianne Moore, T.S.Eliot and Delmore Schwartz. In the long sequence 'Appearance and Reality' and throughout the collection's intricate polymetrical stanzas, readers experience more variation than most contemporary free verse provides.The poems challenge assumptions about the place of form in the modern artistic ecosystem.
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Finite Element Method, The: Its Fundamentals And Applications In Engineering
This Finite Element Method offers a fundamental and practical introduction to the finite element method, its variants, and their applications in engineering.Every concept is introduced in the simplest possible setting, while maintaining a level of treatment that is as rigorous as possible without being unnecessarily abstract.Various finite elements in one, two, and three space dimensions are introduced, and their applications to elliptic, parabolic, hyperbolic, and nonlinear equations and to solid mechanics, fluid mechanics, and porous media flow problems are addressed.The variants include the control volume, multipoint flux approximation, nonconforming, mixed, discontinuous, characteristic, adaptive, and multiscale finite element methods.Illustrative computer programs in Fortran and C++ are described.An extensive set of exercises are provided in each chapter.This book serves as a text a for one-semester course for upper-level undergraduates and beginning graduate students and as a professional reference for engineers, mathematicians, and scientists.
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Is gravity finite?
Yes, gravity is considered to be finite. Gravity is a fundamental force of nature that is described by the theory of general relativity, which is a finite theory. It is a force that acts over a distance and is responsible for the attraction between objects with mass. While the effects of gravity can be observed at great distances, its strength diminishes with distance, making it a finite force.
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What is a deterministic finite automaton in computer science?
A deterministic finite automaton (DFA) is a type of finite state machine in computer science. It consists of a set of states, a set of input symbols, a transition function that maps states and input symbols to other states, a start state, and a set of accepting states. DFAs are used to recognize patterns in input strings by transitioning between states based on the input symbols. They are simpler than nondeterministic finite automata (NFAs) as they have a unique transition for each input symbol in each state.
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Which alphabets are used in computer science for finite automata?
In computer science, the alphabets used for finite automata are typically symbols from a finite set, such as the binary alphabet {0, 1} or the alphabet of ASCII characters. These symbols are used to represent inputs to the automaton, and the automaton transitions between states based on the input symbols it receives. The choice of alphabet depends on the specific problem being modeled and the type of input the automaton needs to process.
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What are finite automata?
Finite automata are abstract machines used in computer science and mathematics to model and solve problems related to computation and decision-making. They consist of a set of states, a set of transitions between states based on input symbols, a start state, and one or more accepting states. Finite automata are used to recognize patterns in strings of symbols and are classified based on their capabilities, such as deterministic finite automata (DFA) and nondeterministic finite automata (NFA). They are fundamental in the study of formal languages and play a crucial role in various areas of computer science, including compiler design, natural language processing, and pattern matching.
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Calculus Of Finite Differences
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Introduction Finite Element Method
Providing a systematic approach and simple introduction ot the finite element method, this self-contained book will enable the reader to obtain a clear understanding of the concepts involved in this traditionally complicated methodology.
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Finite Element and Finite Volume Methods for Heat Transfer and Fluid Dynamics
Introduces the two most common numerical methods for heat transfer and fluid dynamics equations, using clear and accessible language.This unique approach covers all necessary mathematical preliminaries at the beginning of the book for the reader to sail smoothly through the chapters.Students will work step-by-step through the most common benchmark heat transfer and fluid dynamics problems, firmly grounding themselves in how the governing equations are discretized, how boundary conditions are imposed, and how the resulting algebraic equations are solved.Providing a detailed discussion of the discretization steps and time approximations, and clearly presenting concepts of explicit and implicit formulations, this graduate textbook has everything an instructor needs to prepare students for their exams and future careers.Each illustrative example shows students how to draw comparisons between the results obtained using the two numerical methods, and at the end of each chapter they can test and extend their understanding by working through the problems provided.A solutions manual is also available for instructors.
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Groups of Finite Morley Rank
The book is devoted to the theory of groups of finite Morley rank.These groups arise in model theory and generalize the concept of algebraic groups over algebraically closed fields.The book contains almost all the known results in the subject.Trying to attract pure group theorists in the subject and to prepare the graduate student to start the research in the area, the authors adopted an algebraic and self evident point of view rather than a model theoretic one, and developed the theory from scratch.All the necessary model theoretical and group theoretical notions are explained in length.The book is full of exercises and examples and one of its chapters contains a discussion of open problems and a program for further research.
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Why is love finite?
Love is often considered finite because it requires time, energy, and emotional investment from individuals. As humans, we have limited capacity to give and receive love due to our own personal boundaries, needs, and limitations. Additionally, relationships can change and evolve over time, leading to shifts in the amount of love felt between individuals. Ultimately, the finite nature of love can be attributed to the complexities of human emotions and relationships.
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What is a finite automaton?
A finite automaton is a mathematical model used to represent a system that processes input and transitions between different states based on that input. It consists of a set of states, a set of input symbols, a transition function that specifies how the automaton moves from one state to another based on the input, a start state, and a set of accepting states. Finite automata are used in computer science and theoretical computer science to model and analyze the behavior of systems that can be in a finite number of states and transition between them based on input. They are used in various applications such as lexical analysis in compilers, pattern matching in text processing, and modeling of digital circuits.
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Is water a finite resource?
Yes, water is a finite resource because there is a limited amount of freshwater available on Earth. While the planet is covered mostly by water, the majority of it is saltwater and not suitable for human consumption or agricultural use. The availability of freshwater is also affected by factors such as pollution, climate change, and overuse, making it important to manage and conserve this resource for future generations.
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Is this set finite and bounded?
Yes, this set is finite and bounded. The set contains a specific number of elements, which means it is finite. Additionally, the elements in the set are all within a certain range or bound, indicating that the set is bounded.
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