Targeting Handwriting
Targeting Handwriting

Author: Jane Pinsker

Publisher: Pascal Press

Published: 2001

Total Pages: 68

ISBN-13: 9781877085390

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The Targeting Handwriting NSW Year 4 Student Book focuses on consolid ation of joining skills, plus: teaching of trickier joins l ike joining to s, horizontal joins to e, joined double f and joined ft students begin to assess their own letter size and spacing, spac ing between words, and slope Handwriting is one of the mos t crucial skills students will develop in primary school. Targeting Hand writing covers the handwriting curriculum in a clear and structured way, with content directly linked to NSW syllabus outcomes. Writing is a vit al, compelling form of communication. Children need to write every day, for a variety of purposes and for a variety of audiences. To be competen t writers, their handwriting needs to be fluent and legible. The teachin g of handwriting is an essential part of the writing curriculum.

The Generalised Jacobson-Morosov Theorem
The Generalised Jacobson-Morosov Theorem

Author: Peter O'Sullivan

Publisher: American Mathematical Soc.

Published: 2010-08-06

Total Pages: 135

ISBN-13: 082184895X

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The author considers homomorphisms $H \to K$ from an affine group scheme $H$ over a field $k$ of characteristic zero to a proreductive group $K$. Using a general categorical splitting theorem, Andre and Kahn proved that for every $H$ there exists such a homomorphism which is universal up to conjugacy. The author gives a purely group-theoretic proof of this result. The classical Jacobson-Morosov theorem is the particular case where $H$ is the additive group over $k$. As well as universal homomorphisms, the author considers more generally homomorphisms $H \to K$ which are minimal, in the sense that $H \to K$ factors through no proper proreductive subgroup of $K$. For fixed $H$, it is shown that the minimal $H \to K$ with $K$ reductive are parametrised by a scheme locally of finite type over $k$.

Reflecting Stochastic Differential Equations with Jumps and Applications
Reflecting Stochastic Differential Equations with Jumps and Applications

Author: Situ Rong

Publisher: CRC Press

Published: 1999-08-05

Total Pages: 228

ISBN-13: 9781584881254

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Many important physical variables satisfy certain dynamic evolution systems and can take only non-negative values. Therefore, one can study such variables by studying these dynamic systems. One can put some conditions on the coefficients to ensure non-negative values in deterministic cases. However, as a random process disturbs the system, the components of solutions to stochastic differential equations (SDE) can keep changing between arbitrary large positive and negative values-even in the simplest case. To overcome this difficulty, the author examines the reflecting stochastic differential equation (RSDE) with the coordinate planes as its boundary-or with a more general boundary. Reflecting Stochastic Differential Equations with Jumps and Applications systematically studies the general theory and applications of these equations. In particular, the author examines the existence, uniqueness, comparison, convergence, and stability of strong solutions to cases where the RSDE has discontinuous coefficients-with greater than linear growth-that may include jump reflection. He derives the nonlinear filtering and Zakai equations, the Maximum Principle for stochastic optimal control, and the necessary and sufficient conditions for the existence of optimal control. Most of the material presented in this book is new, including much new work by the author concerning SDEs both with and without reflection. Much of it appears here for the first time. With the application of RSDEs to various real-life problems, such as the stochastic population and neurophysiological control problems-both addressed in the text-scientists dealing with stochastic dynamic systems will find this an interesting and useful work.

Wettability
Wettability

Author: Erle C. Donaldson

Publisher: Elsevier

Published: 2013-11-25

Total Pages: 361

ISBN-13: 0127999906

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The wettability of oil reservoirs is the most important factor controlling the rate of oil recovery, providing a profound effect on petroleum production. The petroleum industry has increased the research effort on wettability, but, so far, there has been limited coverage on the topic. Wettability reviews the major research and applications on wettability, capillary pressure and improved recovery. Critical topics including core preservation, the effect of wettability on relative permeability, surface forces such as van der Waals equation of state, petroleum traps and pore size effects are all included in this musthave handbook. Deciphering the techniques and examples will increase the efficiency and production of oil recovery, translating to stronger reservoir simulations and improved well production.

Mathematical Analysis and Optimization for Economists
Mathematical Analysis and Optimization for Economists

Author: Michael J. Panik

Publisher: CRC Press

Published: 2021-09-30

Total Pages: 343

ISBN-13: 1000408841

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In Mathematical Analysis and Optimization for Economists, the author aims to introduce students of economics to the power and versatility of traditional as well as contemporary methodologies in mathematics and optimization theory; and, illustrates how these techniques can be applied in solving microeconomic problems. This book combines the areas of intermediate to advanced mathematics, optimization, and microeconomic decision making, and is suitable for advanced undergraduates and first-year graduate students. This text is highly readable, with all concepts fully defined, and contains numerous detailed example problems in both mathematics and microeconomic applications. Each section contains some standard, as well as more thoughtful and challenging, exercises. Solutions can be downloaded from the CRC Press website. All solutions are detailed and complete. Features Contains a whole spectrum of modern applicable mathematical techniques, many of which are not found in other books of this type. Comprehensive and contains numerous and detailed example problems in both mathematics and economic analysis. Suitable for economists and economics students with only a minimal mathematical background. Classroom-tested over the years when the author was actively teaching at the University of Hartford. Serves as a beginner text in optimization for applied mathematics students. Accompanied by several electronic chapters on linear algebra and matrix theory, nonsmooth optimization, economic efficiency, and distance functions available for free on www.routledge.com/9780367759018.

Integrable And Superintegrable Systems
Integrable And Superintegrable Systems

Author: Boris A Kuperschmidt

Publisher: World Scientific

Published: 1990-10-25

Total Pages: 399

ISBN-13: 9814506737

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Some of the most active practitioners in the field of integrable systems have been asked to describe what they think of as the problems and results which seem to be most interesting and important now and are likely to influence future directions. The papers in this collection, representing their authors' responses, offer a broad panorama of the subject as it enters the 1990's.

Classical and Quantum Parametric Phenomena
Classical and Quantum Parametric Phenomena

Author: Oded Zilberberg

Publisher: Oxford University Press

Published: 2023-09-26

Total Pages: 193

ISBN-13: 0192862707

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Classical and Quantum Parametric Phenomena provides an overview of the phenomena arising when parametric pumping is applied to oscillators. These phenomena include parametric amplification, noise squeezing, spontaneous symmetry breaking, activated switching, cat states, and synthetic Ising spin lattices. To understand these effects, topics are introduced such as nonlinear and stochastic dynamics, coupled systems, and quantum mechanics. Throughout the book, introductions are succinct as possible and attention is focused on understanding parametric oscillators. As a result, the text helps readers to familiarize themselves with many aspects of parametric systems and understand the common theoretical origin of nanomechanical sensors, optical amplifiers, and superconducting qubits. Parametric phenomena have enabled important scientific breakthroughs over the last decades and are still at the focus of intense research efforts. This book provides a resource for experimental and theoretical physicists entering the field or wishing to gain a deeper understanding of the underlying connections. This includes combining formal and intuitive explanations, accompanied by exercises based on numerical Python codes. This combination allows readers to experience parametric phenomena from various directions and apply their understanding directly to their own projects.