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S-Variable Approach to LMI-Based Robust Control
by Yoshio Ebihara Dimitri Peaucelle Denis ArzelierThis book shows how the use of S-variables (SVs) in enhancing the range of problems that can be addressed with the already-versatile linear matrix inequality (LMI) approach to control can, in many cases, be put on a more unified, methodical footing. Beginning with the fundamentals of the SV approach, the text shows how the basic idea can be used for each problem (and when it should not be employed at all). The specific adaptations of the method necessitated by each problem are also detailed. The problems dealt with in the book have the common traits that: analytic closed-form solutions are not available; and LMIs can be applied to produce numerical solutions with a certain amount of conservatism. Typical examples are robustness analysis of linear systems affected by parametric uncertainties and the synthesis of a linear controller satisfying multiple, often conflicting, design specifications. For problems in which LMI methods produce conservative results, the SV approach is shown to achieve greater accuracy. The authors emphasize the simplicity and easy comprehensibility of the SV approach and show how it can be implemented in programs without difficulty so that its power becomes readily apparent. The S-variable Approach to LMI-based Robust Control is a useful reference for academic control researchers, applied mathematicians and graduate students interested in LMI methods and convex optimization and will also be of considerable assistance to practising control engineers faced with problems of conservatism in their systems and controllers.
Sábado de súper castillos: Super Sand Castle Saturday (Spanish Edition) (MathStart 2)
by Stuart J. Murphy“Kids, young and old, fall in love with math when they see how real-life and effortless it becomes thanks to these books.” —Kimberly D. Mueller, Ed.D., First Grade Teacher, Ashbrook School, Lumberton NJThis high-quality Spanish-language book can be enjoyed by fluent Spanish speakers as well as those learning the language, whether at home or in a classroom.The MathStart series has sold over 1.5 million copies and combines math with fun stories that have real-life applications. In Sabado de super castillos, a Level Two MathStart, children learn that it is helpful to use standard units of measure to make accurate comparisons.Tres amigos compiten en us concurso de castillos de arena para ver quién construye la torre más alta, el foso más profundo y el muro más largo. Bajo la atenta mirada de Larry, el salvavidas, construyen súper castillos de arena y también aprenden a medir.Math skills are life skills, and the MathStart series supports success!This award-winning series by Stuart J. Murphy teaches math through stories and visual models63 books divided into three levels with 21 books in eachFun activities kids will love are included to help parents and teachers emphasize the lessonsEngaging and relatable stories, with each story revolving around practical applications of the math concept presentedLively art from top-notch illustratorsCharts and other visual representations help children understand how the math works and promote deeper comprehensionMathStart's unique combination of stories, illustrations, and visual models helps teachers and parents in the teaching of math and provides all children with the opportunity to succeed.The math concepts taught in MathStart books conform to state and national standards. Level 1 is Pre-K–Kindergarten; Level 2 is Grades 1–3; Level 3 is Grades 2–4. The series follows math topics across grades so there is a foundational path to learning that runs through the levels.Help kids with their math skills plus their reading skills with the engaging and fun MathStart series!
SABR and SABR LIBOR Market Models in Practice: With Examples Implemented in Python (Applied Quantitative Finance)
by Christian Crispoldi Gérald Wigger Peter LarkinInterest rate traders have been using the SABR model to price vanilla products for more than a decade. However this model suffers however from a severe limitation: its inability to value exotic products. A term structure model à la LIBOR Market Model (LMM) is often employed to value these more complex derivatives, however the LMM is unable to capture the volatility smile. A joint SABR LIBOR Market Model is the natural evolution towards a consistent pricing of vanilla and exotic products. Knowledge of these models is essential to all aspiring interest rate quants, traders and risk managers, as well an understanding of their failings and alternatives. SABR and SABR Libor Market Models in Practice is an accessible guide to modern interest rate modelling. Rather than covering an array of models which are seldom used in practice, it focuses on the SABR model, the market standard for vanilla products, the LIBOR Market Model, the most commonly used model for exotic products and the extended SABR LIBOR Market Model. The book takes a hands-on approach, demonstrating simply how to implement and work with these models in a market setting. It bridges the gap between the understanding of the models from a conceptual and mathematical perspective and the actual implementation by supplementing the interest rate theory with modelling specific, practical code examples written in Python.
Sachrechnen mit digitalen Medien im Förderschwerpunkt Lernen: Konzeption und Erprobung einer Tablet App zum Verstehen von Textaufgaben
by Christina BierbrauerDas Bearbeiten mathematischer Textaufgaben ist ein anspruchsvoller Prozess, der insbesondere für Schülerinnen und Schüler mit Förderbedarf Lernen herausfordernd ist. Das Verstehen der Aufgabe stellt häufig eine Hürde dar. Basierend auf der Cognitive Load Theory bieten digitale Medien Möglichkeiten kognitive Belastungen beim Bearbeiten von Textaufgaben zu verringern. Im Rahmen des vorliegenden Forschungsprojekts wurde eine Tablet App zum Verstehen von Textaufgaben konzipiert und in leitfadengestützten Einzelinterviews erprobt. Die Daten wurden nach der qualitativen Inhaltsanalyse ausgewertet und mit der Analysesoftware MAXQDA analysiert. Die Arbeit vereint drei Herausforderungen: das Sachrechnen, die Förderung der Schülerschaft mit Förderbedarf Lernen sowie den sinnvollen Einbezug digitaler Medien.
Sacred Geometry: How to use cosmic patterns to power up your life
by Jemma FosterSacred Geometry exists all around us in the natural world, from the unfurling of a rose bud to the pattern of a tortoise shell, the sub-atomic to the galactic. A pure expression of number and form, it is the language of creation and navigates the unseen dimensions beyond our three-dimensional reality.Since its discovery, humans have found many ways - stone circles, mandalas, labyrinths, temples- to call upon this universal law as a way of raising consciousness and communicating with a divine source. By becoming aware of the dots and lines that build the world around you, Sacred Geometry will teach you how to bring this mystical knowledge into your daily practice.
Sacred Geometry: How to use cosmic patterns to power up your life
by Jemma FosterSacred Geometry exists all around us in the natural world, from the unfurling of a rose bud to the pattern of a tortoise shell, the sub-atomic to the galactic. A pure expression of number and form, it is the language of creation and navigates the unseen dimensions beyond our three-dimensional reality.Since its discovery, humans have found many ways - stone circles, mandalas, labyrinths, temples- to call upon this universal law as a way of raising consciousness and communicating with a divine source. By becoming aware of the dots and lines that build the world around you, Sacred Geometry will teach you how to bring this mystical knowledge into your daily practice.
Sacred Geometry: Sacred Geometry In The Realm Of The Planets
by Richard HeathReveals how the number science found in ancient sacred monuments reflects wisdom transmitted from the angelic orders • Explains how the angels transmitted megalithic science to early humans to further our conscious development • Decodes the angelic science hidden in a wide range of monuments, including Carnac in Brittany, the Great Pyramid in Egypt, early Christian pavements, the Hagia Sophia in Istanbul, Stonehenge in England, and the Kaaba in Mecca • Explores how the number science behind ancient monuments gave rise to religions and spiritual practices The angelic mind is founded on a deep understanding of number and the patterns they produce. These patterns provided a constructive framework for all manifested life on Earth. The beauty and elegance we see in sacred geometry and in structures built according to those proportions are the language of the angels still speaking to us. Examining the angelic science of number first manifested on Earth in the Stone Age, Richard Heath reveals how the resulting development of human consciousness was no accident: just as the angels helped create the Earth&’s environment, humans were then evolved to make the planet self-aware. To develop human minds, the angels transmitted their own wisdom to humanity through a numerical astronomy that counted planetary and lunar time periods. Heath explores how this early humanity developed an expert understanding of sacred number through astronomical geometries, leading to the unified range of measures employed in their observatories and later in cosmological monuments such as the Giza Pyramids and Stonehenge. The ancient Near East transformed megalithic science into our own mathematics of notational arithmetic and trigonometry, further developing the human mind within the early civilizations. Heath decodes the angelic science hidden within a wide range of monuments and sites, including Carnac in Brittany, the Great Pyramid in Egypt, Teotihuacan in Mexico, early Christian pavements, the Hagia Sophia in Istanbul, and the Kaaba in Mecca. Exploring the techniques used to design these monuments, he explains how the number science behind them gave rise to ancient religions and spiritual practices. He also explores the importance of lunar astronomy, first in defining a world suitable for life and then in providing a subject accessible to pre-arithmetic humans, for whom the Moon was a constant companion.
Sacred Geometry in Ancient Goddess Cultures: The Divine Science of the Female Priesthood
by Richard HeathExamines the ancient cosmic science of the female megalithic astronomers• Describes the shared sacred geometry and astronomy knowledge in the megalithic monuments, temples, and secret calendars of the matrilineal cultures of Malta, Gobekli Tepe, and the Minoans of Crete • Shows how early Christians helped preserve ancient science by encoding it in the rock-cut churches of the Cappadocia region of Turkey • Explains how Greek myths reveal the transition from matriarchy to patriarchy Long before Pythagoras and Plato, before arithmetic and Christianity, there existed matrilineal societies around the Mediterranean, led by women with a sophisticated understanding of astronomy and sacred science. In this detailed exploration, Richard Heath decodes the cosmological secrets hidden by ancient goddess-centered cultures on the island of Malta, at Gobekli Tepe in Turkey, and on the Greek island of Crete. Heath reveals how the female astronomers of Malta built megaliths to study the sun, moon, and planets, counting time as lengths and comparing lengths using geometry. He shows how they encoded their cosmological and astronomical discoveries, their &“astronomy of the goddesses,&” in the geometries of their temples and monuments. Examining Maltese and Cretan artifacts, including secret calendars, he details how the Minoans of Crete transformed Maltese astronomy into a matriarchal religion based upon a Saturnian calendar of 364 days. He also reveals evidence of the precursors of Maltese astronomical knowledge in the monuments of Gobekli Tepe. Looking at the shift from sacred geometry to arithmetic in ancient Mediterranean cultures, the author parallels this change in mindset with the transition from matriarchal to patriarchal cultures. He reveals how Greek myths present a way to see the matriarchal past through patriarchal eyes, detailing how Saturn&’s replacement by Jupiter-Zeus symbolizes the transition from matriarchy to patriarchy. The author examines how the early Christians helped preserve the ancient astronomy of the goddesses, due to its connections to Christ&’s cosmological teachings, by encoding it in the artwork of the rock-cut churches and monasteries of the Cappadocia region of Turkey. Revealing how our planet, with its specific harmonics and geometries within our star system, is uniquely designed to support intelligent life, the author shows how this divine spiritual truth was known to the ancient astronomers.
Sacred Geometry of the Starcut Diagram: The Genesis of Number, Proportion, and Cosmology
by Malcolm Stewart• Lavishly illustrated with hundreds of detailed diagrams and technical illustrations exploring the evolution and importance of the starcut diagram • Shows how the starcut diagram underlies the shaman&’s dance in China, the Vedic Fire Altar in India, Raphael frescoes, labyrinth designs, the Great Pyramid in Egypt, and the building of ancient cities • Explains how the starcut diagram was used in building and design, how it relates to Pythagoras&’s Tetrakys, and how it contains knowledge of the Tree of Life As Malcolm Stewart reveals in this lavishly illustrated study, the simplesquare figure of the Starcut diagram, created only with circles, has extraordinary geometric properties. It allows you to make mathematically exact measurements and build perfectly true level structures without a computer, calculator, slide rule, plumb bob, or laser level. Sharing his extensive research, along with hundreds of detailed diagrams and technical illustrations, the author shows how the Starcut diagram was the key to the building of humanity&’s first cities and how it underlies many significant patterns and proportions around the world. Using circles drawn from the vesica piscis, Stewart explains how to create the Starcut diagram and shows how this shape was at the foundation of ancient building and design, illustrating the numerous connections between the diagram and the creation of mandalas and yantras, stained glass windows, architectural ground plans, temples and other sacred buildings, and surveying methods. He also shows how the Starcut diagram reveals ancient geometric knowledge of pi, the Fibonacci sequence, Pythagorean shapes and seals, the golden ratio, the power of 108 and other sacred numbers, and magic squares. Exploring the Starcut diagram&’s cosmological and theological implications, Stewart explains how it contains knowledge of the Tree of Life and the Kabbalah. He examines how it relates to the Tetraktys, the key teaching device of Pythagoras, and other cosmograms. Demonstrating the ancient relationships existing between number, geometry, cosmology, and musical harmony, the author shows how the simple shape of the Starcut diagram unifies the many threads of sacred geometry into one beautiful mathematical tapestry.
Saddle-Point Problems and Their Iterative Solution (Nečas Center Series)
by Miroslav RozložníkThis book provides essential lecture notes on solving large linear saddle-point systems, which arise in a wide range of applications and often pose computational challenges in science and engineering. The focus is on discussing the particular properties of such linear systems, and a large selection of algebraic methods for solving them, with an emphasis on iterative methods and preconditioning. The theoretical results presented here are complemented by a case study on potential fluid flow problem in a real world-application. This book is mainly intended for students of applied mathematics and scientific computing, but also of interest for researchers and engineers working on various applications. It is assumed that the reader has completed a basic course on linear algebra and numerical mathematics.
Saddlepoint Approximation Methods in Financial Engineering (SpringerBriefs in Quantitative Finance)
by Wendong Zheng Yue Kuen KwokThis book summarizes recent advances in applying saddlepoint approximation methods to financial engineering. It addresses pricing exotic financial derivatives and calculating risk contributions to Value-at-Risk and Expected Shortfall in credit portfolios under various default correlation models. These standard problems involve the computation of tail probabilities and tail expectations of the corresponding underlying state variables. The text offers in a single source most of the saddlepoint approximation results in financial engineering, with different sets of ready-to-use approximation formulas. Much of this material may otherwise only be found in original research publications. The exposition and style are made rigorous by providing formal proofs of most of the results. Starting with a presentation of the derivation of a variety of saddlepoint approximation formulas in different contexts, this book will help new researchers to learn the fine technicalities of the topic. It will also be valuable to quantitative analysts in financial institutions who strive for effective valuation of prices of exotic financial derivatives and risk positions of portfolios of risky instruments.
Sadlier Math: [Grade 1]
by Catherine D. LeTourneau Allan E. Bellman Jill A. PerrySadlier Math, [Grade 1], Volume One
Sadlier Math: [Grade K]
by Catherine D. LeTourneau Allan E. Bellman Jill A. PerrySadlier Math, [Grade K], Volume Two
Sadlier Math: [Grade 1]
by Catherine D. LeTourneau Allan E. Bellman Jill A. PerrySadlier Math, [Grade 1], Volume Two
Sadlier Math, [Grade 2], Volume One
by Catherine D. LeTourneau Allan E. Bellman Jill A. PerrySadlier Math, [Grade 2], Volume One
Sadlier Math, [Grade 2], Volume Two
by Catherine D. LeTourneau Allan E. Bellman Jill A. PerrySadlier Math, [Grade 2], Volume Two
Sadlier Math, [Grade 3]
by Catherine D. LeTourneau Allan E. Bellman Jill A. PerrySadlier Math, [Grade 3]
Sadlier Math, [Grade 3], Workbook
by Catherine D. LeTourneau Allan E. Bellman Jill A. PerrySadlier Math, [Grade 3], Workbook
Sadlier Math, [Grade 4]
by Catherine D. LeTourneau Allan E. Bellman Jill A. PerrySadlier Math, [Grade 4]
Sadlier Math, [Grade 4], Workbook
by Catherine D. LeTourneau Allan E. Bellman Jill A. PerrySadlier Math, [Grade 4], Workbook
Sadlier Math, [Grade 5]
by Catherine D. LeTourneau Allan E. Bellman Jill A. PerrySadlier Math, [Grade 5]