This book presents comprehensive state-of-the-art theoretical analysis of the fundamental Newtonian and Newtonian-related approaches to solving optimization and variational problems. A central focus is the relationship between the basic Newton scheme for a given problem and algorithms that also enjoy fast local convergence. The authors develop general perturbed Newtonian frameworks that preserve fast convergence and consider specific algorithms as particular cases within those frameworks, i.e., as perturbations of the associated basic Newton iterations. This approach yields a set of tools for the unified treatment of various algorithms, including some not of the Newton type per se. Among the new subjects addressed is the class of degenerate problems. In particular, the phenomenon of attraction of Newton iterates to critical Lagrange multipliers and its consequences as well as stabilized Newton methods for variational problems and stabilized sequential quadratic programming for optimization. This volume will be useful to researchers and graduate students in the fields of optimization and variational analysis.
This book presents comprehensive state-of-the-art theoretical analysis of the fundamental Newtonian and Newtonian-related approaches to solving optimization and variational problems. A central focus is the relationship between the basic Newton scheme for a given problem and algorithms that also enjoy fast local convergence. The authors develop general perturbed Newtonian frameworks that preserve fast convergence and consider specific algorithms as particular cases within those frameworks, i.e., as perturbations of the associated basic Newton iterations. This approach yields a set of tools for the unified treatment of various algorithms, including some not of the Newton type per se. Among the new subjects addressed is the class of degenerate problems. In particular, the phenomenon of attraction of Newton iterates to critical Lagrange multipliers and its consequences as well as stabilized Newton methods for variational problems and stabilized sequential quadratic programming for optimization. This volume will be useful to researchers and graduate students in the fields of optimization and variational analysis.
This book introduces various coverage control problems for mobile sensor networks including barrier, sweep and blanket. Unlike many existing algorithms, all of the robotic sensor and actuator motion algorithms developed in the book are fully decentralized or distributed, computationally efficient, easily implementable in engineering practice and based only on information on the closest neighbours of each mobile sensor and actuator and local information about the environment. Moreover, the mobile robotic sensors have no prior information about the environment in which they operation. These various types of coverage problems have never been covered before by a single book in a systematic way. Another topic of this book is the study of mobile robotic sensor and actuator networks. Many modern engineering applications include the use of sensor and actuator networks to provide efficient and effective monitoring and control of industrial and environmental processes. Such mobile sensor and actuator networks are able to achieve improved performance and efficient monitoring together with reduction in power consumption and production cost.
The use of mathematical modeling in engineering allows for a significant reduction of material costs associated with design, production, and operation of technical objects, but it is important for an engineer to use the available computational approaches in modeling correctly. Taking into account the level of modern computer technology, this new volume explains how an engineer should properly define the physical and mathematical problem statement, choose the computational approach, and solve the problem by proven reliable computational approach using computer and software applications during the solution of a particular problem. This work is the result of years of the authors’ research and experience in the fields of power and rocket engineering where they put into practice the methods of mathematical modeling shown in this valuable volume. The examples in the book are based on two approaches. The first approach involves the use of the relatively simple mathematical system MathCad. The second one involves the solving of problems using Intel Visual Fortran compiler with IMSL Libraries. The use of other software packages (Maple, MathLab, Mathematica) or compilers (?, ?++, Visual Basic) for code is equally acceptable in the solution of the problems given in the book.Intended for professors and instructors, scientific researchers, students, and industry professionals, the book will help readers to choose the most appropriate mathematical modeling method to solve engineering problems, and the authors also include methods that allow for the solving of nonmathematical problems as mathematical problems.
The use of mathematical modeling in engineering allows for a significant reduction of material costs associated with design, production, and operation of technical objects, but it is important for an engineer to use the available computational approaches in modeling correctly. Taking into account the level of modern computer technology, this new volume explains how an engineer should properly define the physical and mathematical problem statement, choose the computational approach, and solve the problem by proven reliable computational approach using computer and software applications during the solution of a particular problem. This work is the result of years of the authors’ research and experience in the fields of power and rocket engineering where they put into practice the methods of mathematical modeling shown in this valuable volume. The examples in the book are based on two approaches. The first approach involves the use of the relatively simple mathematical system MathCad. The second one involves the solving of problems using Intel Visual Fortran compiler with IMSL Libraries. The use of other software packages (Maple, MathLab, Mathematica) or compilers (?, ?++, Visual Basic) for code is equally acceptable in the solution of the problems given in the book.Intended for professors and instructors, scientific researchers, students, and industry professionals, the book will help readers to choose the most appropriate mathematical modeling method to solve engineering problems, and the authors also include methods that allow for the solving of nonmathematical problems as mathematical problems.
This book discusses helical Ince-Gaussian beams, which are presented as expansions in Hermite-Gaussian modes, and analytical expressions for the orbital angular momentum are obtained for them.
This book describes the practical exercises with MesoBioNano (MBN) Explorer and MBN Studio software packages introducing and illustrating a broad range of applications of the software in various fields. The standard and unique algorithms for molecular and Monte Carlo dynamics and for optimisation of complex molecular systems are introduced and explained in details invoking illustrative case studies. MBN Explorer is a multi-purpose software package for advanced multiscale simulations of complex molecular structure and dynamics. It has many unique features and a wide range of applications in Physics, Chemistry, Biology, Materials Science, and Industry. A broad variety of algorithms and interatomic potentials implemented in the program allow simulations of structure and dynamics of a broad range of systems with the sizes from the atomic up to the mesoscopic scales. MBN Explorer is available for Windows, Linux, and macOS. It is fully parallelised and can be exploited on computer clusters and supercomputers. MBN Studio is a special multi-task software toolkit with a graphical user interface for MBN Explorer. It helps setting up calculations with MBN Explorer, monitoring their progress and examining the calculation results. The graphical utility enables to visualise selected inputs and outputs. A number of built-in tools allow for the calculation and analysis of specific systems' characteristics. A special modelling plug-in allows constructing a large variety of molecular systems built of arbitrary atomic and molecular constituents. MBN Explorer and MBN Studio are being developed and distributed by MBN Research Center. For more details visit the MBN Research Center website: www.mbnresearch.com
Shay Sandoval has big dreams and works hard to achieve them. But her older sister likes that fast, easy money and finds herself in a hot mess of trouble when she helps her boyfriend scam Houston's underworld. Terrified for her sister and herself, Shay turns to the only man powerful enough to save them-former prize fighter and Russian mob enforcer Alexei Sarnov.Just as ruthless in business as he was on the streets, Alexei has built a new life as a respected, wealthy businessman. When he learns Shay's troubled sister has invoked the wrath of Houston's criminal elite, Alexei rushes to intercept Shay before the city's worst men can get their hands on her.But now that she's under his protection-and under his hands-Alexei realizes that he wants and needs more than he's ever dared to hope for in his harsh life. He wants Shay in his home and in his bed-but not as merely his mistress.Earning Shay's love and trust just might be the hardest deal he's ever sealed...
Alexei Khomiakov (1804-1860), a great Russian thinker, one of the founders of the Slavophile school of thought, nowadays might be seen as one of the precursors of critical thought on the dangers of modern political ideas. The pathologies that Khomiakov attributes to Catholicism and Protestantism - authoritarianism, individualism, and fragmentation - are today the fundamental characteristics of modern states, of the societies in which we live, and to a large extent, of the alternatives that are brought forth in an attempt to counter them. Khomiakov's works therefore might help us take on the challenge of rescuing Christian thought from modern colonization and offer a true alternative, a space for love and truth, the living experience of the church. This book serves as a step on the path toward recovering the church's reflection on its own identity as sobornost', as the community that is the living body of Christ, and can be the next step forward toward recovering the capacity for thought from within the church.
Alexei Khomiakov (1804-1860), a great Russian thinker, one of the founders of the Slavophile school of thought, nowadays might be seen as one of the precursors of critical thought on the dangers of modern political ideas. The pathologies that Khomiakov attributes to Catholicism and Protestantism--authoritarianism, individualism, and fragmentation--are today the fundamental characteristics of modern states, of the societies in which we live, and to a large extent, of the alternatives that are brought forth in an attempt to counter them. Khomiakov's works therefore might help us take on the challenge of rescuing Christian thought from modern colonization and offer a true alternative, a space for love and truth, the living experience of the church. This book serves as a step on the path toward recovering the church's reflection on its own identity as sobornost', as the community that is the living body of Christ, and can be the next step forward toward recovering the capacity for thought from within the church. ""Highly recommended. This volume brings to light the great relevance of Alexei Khomiakov to our postmodern context. We are indebted to the continued and frutiful collaboration of Mrowczyński-Van, Obolevitch, and Rojek."" --Aaron Riches, Benedictine College, Aitchison, Kansas Artur Mrowczyński-Van Allen is Professor at the International Center for the Study of the Christian Orient and Instituto de Filosofia ""Edith Stein,"" Granada, Spain. He is the author of Between the Icon and the Idol: The Human Person and the Modern State in Russian Literature and Thought (Cascade, 2013). Teresa Obolevitch is Professor at the Pontifical University of John Paul II in Krakow, Poland. Recently she published Faith and Science in Russian Religious Thought (2019). Pawel Rojek is Assistant Professor at the Jagiellonian University in Krakow, Poland.
Alexei Khomiakov (1804-1860), a great Russian thinker, one of the founders of the Slavophile school of thought, nowadays might be seen as one of the precursors of critical thought on the dangers of modern political ideas. The pathologies that Khomiakov attributes to Catholicism and Protestantism--authoritarianism, individualism, and fragmentation--are today the fundamental characteristics of modern states, of the societies in which we live, and to a large extent, of the alternatives that are brought forth in an attempt to counter them. Khomiakov's works therefore might help us take on the challenge of rescuing Christian thought from modern colonization and offer a true alternative, a space for love and truth, the living experience of the church. This book serves as a step on the path toward recovering the church's reflection on its own identity as sobornost', as the community that is the living body of Christ, and can be the next step forward toward recovering the capacity for thought from within the church. ""Highly recommended. This volume brings to light the great relevance of Alexei Khomiakov to our postmodern context. We are indebted to the continued and frutiful collaboration of Mrowczyński-Van, Obolevitch, and Rojek."" --Aaron Riches, Benedictine College, Aitchison, Kansas Artur Mrowczyński-Van Allen is Professor at the International Center for the Study of the Christian Orient and Instituto de Filosofia ""Edith Stein,"" Granada, Spain. He is the author of Between the Icon and the Idol: The Human Person and the Modern State in Russian Literature and Thought (Cascade, 2013). Teresa Obolevitch is Professor at the Pontifical University of John Paul II in Krakow, Poland. Recently she published Faith and Science in Russian Religious Thought (2019). Pawel Rojek is Assistant Professor at the Jagiellonian University in Krakow, Poland.
Everybody Loves the Circus Alexei, Grigori, Felix, Irina, Oksana, and Polina are Siberian tigers who have spent their entire lives working in the circus. Their parents were circus tigers and it is the only thing they have ever known. The life of a circus tiger is not always easy. From the time they are very small, they go through a lot of hard training. Alexei is the oldest tiger in the group. He can also be the grumpiest. The other tigers complain to each other that he often makes them feel sad and discouraged. But do they dare to tell Alexei how they feel? Fun and interesting short stories with lessons on: -Respect -Diversity -Patience -Kindness -Honesty -Forgiveness -Teamwork Karma for Kids Books - Get them all We once knew a beautiful Labrador Retriever named Karma. Yes, Karma is a retriever. Whatever we threw out, Karma was happy to bring it back. It didn't matter what it was, she always brought it back. It's the same in life. We reap what we sow. Whatever we send out, is what we will get back. Our Karma for Kids Books hopes to instill this simple lesson into the lives of young children everywhere. Life can be amazing Scroll up and click 'buy' and spend some quality time with your loved ones You'll be glad you did Thanks for picking up this children's book You are participating in making our world a better place to live and grow. When children learn that they will always get back what they give, they will start to navigate their lives in incredible ways. When you give a smile and make someone's heart feel lighter and happier, because of it, you can be sure that you will receive something in the near future that will make your heart happier as well. When you do something kind for someone, you can be sure that someone will do something kind for you in the coming days ahead. It is truly amazing how it works Have fun with it and enjoy Download it NOW and watch positive changes start to take place. And please share with others so they can benefit as well Thank you so much Kids deserve to have the best life possible Life can get so busy and hectic for parents and caregivers, but these books help open the door to discussions on positive lessons in life that will last a lifetime. Once children learn the valuable lesson of reaping what we sow, everything has the potential to change for the benefit It's a ripple effect Spending precious time with a child, reading this book, can create a positive difference for years to come, generation to generation. Yes This book is especially great for family time, traveling, waiting rooms, and read aloud at home. Excellent for beginning and early readers. Cute short stories that are great for a quick bedtime story, but still give a great lesson that can be discussed. This story is great for be read aloud by friends, family, babysitters, and more For more of our Karma for Kids Books please visit us at: www.findyourwaypublishing.com And please consider leaving a review. Reviews help more than you know and help us spread the word to other children. All children deserve to be successful in all areas of their lives Thank you tags: kids books, bedtime stories for kids, bedtime storybook collection, bedtime storybook, kids stories, bedtime stories for children, bedtime reading, Children's books, short stories, kids stories, stories for children, kids ebooks, short stories, kids stories, stories for kids, short stories for kids, short stories, childrens stories, childrens books, books for kids, bedtime stories, ebooks, jokes, kids, children, kid, childrens book, kids book about animals, animals, elementary, kids book, books for kids, book, kindle book, kindle ebook, lessons, lessons for kids, manners, respect, diversity, patience, kindness, honesty, loyalty, teamwork, forgiveness, early reader, beginning reader, stories for kids, preschool, ages 3-5, ages 6-8, ages 9-12, beginning readers, beginner reading, kids stories, chil
Shay Sandoval has big dreams and works hard to achieve them. But her older sister likes that fast, easy money and finds herself in a hot mess of trouble when she helps her boyfriend scam Houston's underworld. Terrified for her sister and herself, Shay turns to the only man powerful enough to save them-former prize fighter and Russian mob enforcer Alexei Sarnov. Just as ruthless in business as he was on the streets, Alexei has built a new life as a respected, wealthy businessman. When he learns Shay's troubled sister has invoked the wrath of Houston's criminal elite, Alexei rushes to intercept Shay before the city's worst men can get their hands on her. But now that she's under his protection-and under his hands-Alexei realizes that he wants and needs more than he's ever dared to hope for in his harsh life. He wants Shay in his home and in his bed-but not as merely his mistress. Earning Shay's love and trust just might be the hardest deal he's ever sealed...
MiaHow long do you hang on to hope before you realize you're just prolonging the inevitable? I finally had to face facts, leave Florida and Alexei behind, and move on with my life.It's not like I don't still ache for him though, even dripping wet and half-naked in the Hawaiian jungle.But this Alexei isn't the sweet, calm man I left behind... AlexeiGod help me, I don't have it in me to let Mia walk away again. She doesn't know, she can't know, why I've had to resist claiming her for so long. Or letting anyone, even Mia, know how I feel about her.Seeing her here, exposed to the elements, I'm done with waiting. She's not flirting with other men as a war games vamp. I don't give a damn whose idea it was. Only a few more weeks and the danger will be minimized. She's worth the risk.Just my luck that's when everything goes to hell...
