Products related to Sparse:
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Direct Methods for Sparse Matrices
The subject of sparse matrices has its root in such diverse fields as management science, power systems analysis, surveying, circuit theory, and structural analysis.Efficient use of sparsity is a key to solving large problems in many fields.This second edition is a complete rewrite of the first edition published 30 years ago.Much has changed since that time. Problems have grown greatly in size and complexity; nearly all examples in the first edition were of order less than 5,000 in the first edition, and are often more than a million in the second edition.Computer architectures are now much more complex, requiring new ways of adapting algorithms to parallel environments with memory hierarchies. Because the area is such an important one to all of computational science and engineering, a huge amount of research has been done in the last 30 years, some of it by the authors themselves.This new research is integrated into the text with a clear explanation of the underlying mathematics and algorithms. New research that is described includes new techniques for scaling and error control, new orderings, new combinatorial techniques for partitioning both symmetric and unsymmetric problems, and a detailed description of the multifrontal approach to solving systems that was pioneered by the research of the authors and colleagues.This includes a discussion of techniques for exploiting parallel architectures and new work for indefinite and unsymmetric systems.
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Sparse Solutions of Underdetermined Linear Systems
This textbook presents a special solution of underdetermined linear systems where the number of nonzero entries in the solution is very small compared to the total number of entries.This is called sparse solution. As underdetermined linear systems can be very different, the authors explain how to compute a sparse solution by many approaches. Sparse Solutions of Underdetermined Linear Systems:Contains 72 algorithms for finding sparse solutions of underdetermined linear systems and their applications for matrix completion, graph clustering, and phase retrieval. Provides a detailed explanation of these algorithms including derivations and convergence analysis. Includes exercises for each chapter to help the reader understand the material. This textbook is appropriate for graduate students in math and applied math, computer science, statistics, data science, and engineering.Advisors and postdocs will also find the book of interest. It is appropriate for the following courses: Advanced Numerical Analysis, Special Topics on Numerical Analysis, Topics on Data Science, Topics on Numerical Optimization, and Topics on Approximation Theory.
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Sparse Phased Array Antennas: Theory and Applications
This ground-breaking resource gives you the background theories and know-how you need to effectively design active phased array antennas with wider bandwidth and scan volume utilizing sparse array technology.The book shows you how to incorporate aperiodic arrays and sparse arrays as a solution for overcoming the restrictions faced in conventional phased antenna designs - such as blind spots, limited scan volume, large power and cooling requirements, RF path losses, and increased complexity - while adhering to the maintenance of SWAP-C resources widely used in aerospace and defence. Packed with step-by-step information and research results unavailable in any other single source to date, the book presents new concepts and techniques that potentially can be applied to many critical defense and commercial requirements such as: radars, satcom on move, sonars, weather monitoring, 5G and 6G for mobile communication, fault and crack detection in buildings and underground pipelines, automotive anti-collisions mechanism in automobiles, mine detection, through wall imaging, and more. The book helps you to understand the fundamental antenna technology being deployed in modern systems and equips you to design problem-solving sparse array models proven by electromagnetic simulations that can reduce the cost and overall complexity of the existing systems.Numerous design studies are documented to validate the theories presented.The book takes into account the functional constraints in designing commercial and military systems while demonstrating provable techniques that are practical and achievable. This is an important resource for phased array antenna designers interested in utilizing sparse array technology with wider bandwidth and scan volume.The book's straightforward approach and easy-to-follow language also make it accessible to students and those new to the field.
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Sparse Polynomial Approximation of High-Dimensional Functions
Over seventy years ago, Richard Bellman coined the term "the curse of dimensionality" to describe phenomena and computational challenges that arise in high dimensions.These challenges, in tandem with the ubiquity of high-dimensional functions in real-world applications, have led to a lengthy, focused research effort on high-dimensional approximation—that is, the development of methods for approximating functions of many variables accurately and efficiently from data.This book provides an in-depth treatment of one of the latest installments in this long and ongoing story: sparse polynomial approximation methods.These methods have emerged as useful tools for various high-dimensional approximation tasks arising in a range of applications in computational science and engineering.It begins with a comprehensive overview of best s-term polynomial approximation theory for holomorphic, high-dimensional functions, as well as a detailed survey of applications to parametric differential equations.It then describes methods for computing sparse polynomial approximations, focusing on least squares and compressed sensing techniques. Sparse Polynomial Approximation of High-Dimensional Functions presents the first comprehensive and unified treatment of polynomial approximation techniques that can mitigate the curse of dimensionality in high-dimensional approximation, including least squares and compressed sensing.It develops main concepts in a mathematically rigorous manner, with full proofs given wherever possible, and it contains many numerical examples, each accompanied by downloadable code.The authors provide an extensive bibliography of over 350 relevant references, with an additional annotated bibliography available on the book's companion website (www.sparse-hd-book.com). This text is aimed at graduate students, postdoctoral fellows, and researchers in mathematics, computer science, and engineering who are interested in high-dimensional polynomial approximation techniques.
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What is meant by sparse vegetation?
Sparse vegetation refers to an area where plant life is scarce or thinly distributed. This can be due to factors such as low rainfall, poor soil quality, extreme temperatures, or human activities like deforestation. Sparse vegetation can lead to issues such as soil erosion, reduced biodiversity, and increased vulnerability to climate change impacts.
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Why do I have naturally sparse eyebrows?
There are several reasons why someone may have naturally sparse eyebrows. It could be due to genetics, as some people are simply born with thinner or sparser eyebrow hair. Additionally, over-plucking or excessive grooming of the eyebrows can lead to sparse growth over time. Certain medical conditions, such as alopecia or thyroid disorders, can also contribute to eyebrow thinning. Finally, aging can cause a decrease in hair growth, including eyebrow hair.
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When are forests considered to be sparse forests?
Forests are considered to be sparse when the density of trees and vegetation is low, with significant gaps between individual trees and less overall coverage. This can be due to factors such as poor soil quality, limited water availability, or natural disturbances like wildfires or insect infestations. Sparse forests may also result from human activities such as logging or land clearing. In these areas, the canopy cover is less dense, allowing more light to reach the forest floor and creating a different ecological environment compared to denser forests.
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What can be done about short and sparse eyelashes?
There are several options for addressing short and sparse eyelashes. One option is to use over-the-counter or prescription eyelash growth serums, which can help promote longer and fuller lashes over time. Another option is to use mascara and eyelash curlers to create the appearance of longer and fuller lashes. Additionally, false eyelashes or eyelash extensions can be used for a more immediate and dramatic effect. Finally, some people may opt for eyelash tinting or eyelash lifts to enhance the appearance of their natural lashes.
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Petrarch’s Lyric Poems : The Rime Sparse and Other Lyrics
For teachers and students of Petrarch, Robert M. Durling’s edition of the poems has become the standard one.Readers have praised the translation as both graceful and accurate, conveying a real understanding of what this difficult poet is saying. The literalness of the prose translation makes this beautiful book especially useful to students who lack a full command of Italian. And students reading the verse in the original will find here an authoritative text.
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A Volterra Approach to Digital Predistortion : Sparse Identification and Estimation
Thorough discussion of the theory and application of the Volterra series for impairments compensation in RF circuits and systems A Volterra Approach to Digital Predistortion: Sparse Identification and Estimation offers a comprehensive treatment of the Volterra series approach as a practical tool for the behavioral modeling and linearization of nonlinear wireless communication systems.Although several perspectives can be considered when analyzing nonlinear effects, this book focuses on the Volterra series to study systems with real-valued continuous time RF signals as well as complex-valued discrete-time baseband signals in the digital signal processing field.A unified framework provides the reader with in-depth understanding of the available Volterra-based behavioral models; in particular, the book emphasizes those models derived by exploiting the knowledge of the physical phenomena that produce different types of nonlinear distortion.From these distinctive standpoints, this work remarkably contributes to theoretical issues of behavioral modeling.The book contributes to practical state-of-the-art questions on linearization, granting the reader practical guidance in designing digital predistortion schemes and adopting up-to-date machine learning methods to exploit the sparsity of the identification problem and reducing computational complexity.Later chapters include information on: Identification of Volterra-based models as a linear regression problem, allowing the adoption of sparse machine learning methods to reduce computational complexity while keeping rich model structuresDeduction of Volterra models based on circuit model knowledge, offering pruned model structures that are better fitted for specific scenariosWireless communication systems and the nonlinear effects produced by power amplifiers, mixers, frequency converters or IQ modulatorsDigital predistortion schemes and experimental results for both indirect and direct learning architectures A Volterra Approach to Digital Predistortion: Sparse Identification and Estimation is an essential reference on the subject for engineers and technicians who develop new products for the linearization of wireless transmitters, as well as researchers and students in fields and programs of study related to wireless communications.
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Striped Tulle Curtain 1/1 Sparse Battery 70 x 200
Product cornice buttons are sewn ready. You can wash 30 degrees.
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Striped Tulle Curtain 1/1 Sparse Battery 70 x 200
Product cornice buttons are sewn ready. You can wash 30 degrees.
Price: 88.99 £ | Shipping*: 0.0 £
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I need mascara for long but thin and sparse eyelashes.
For long but thin and sparse eyelashes, you may want to look for a lengthening mascara that also provides volume. Choose a mascara with a thin wand that can easily coat each individual lash to help create the appearance of fuller lashes. Additionally, consider a formula that is buildable so you can layer it to achieve your desired look without clumping. Mascara with nourishing ingredients like vitamin E or keratin can also help promote healthier lashes over time.
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What are some tips for short, thin, and sparse eyelashes?
Some tips for short, thin, and sparse eyelashes include using a lash primer before applying mascara to add volume and length, using a lengthening mascara with a thin wand to coat each lash evenly, and using a lash curler to give the appearance of longer lashes. Additionally, consider using a growth serum or conditioning treatment to promote lash growth and strength. Finally, be gentle when removing eye makeup to prevent further damage to the lashes.
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Can anyone make anything out of this sparse song text?
Yes, anyone can make something out of a sparse song text. The interpretation of a song's lyrics is subjective and can vary from person to person. Some may find meaning in the simplicity of the words, while others may be inspired to create their own interpretations or stories based on the sparse text. The beauty of art is that it can be open to individual interpretation and can evoke different emotions and thoughts for each listener.
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What are the reasons for the sparse answering of a question here?
There could be several reasons for the sparse answering of a question here. One reason could be that the question is complex or requires a deep understanding of a specific topic, making it difficult to provide a comprehensive answer in a short amount of time. Another reason could be that the question may not have enough context or clarity, making it challenging for the AI to generate a meaningful response. Additionally, the AI may not have enough information or data on a particular topic, leading to a limited or sparse answer.
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