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Elements of Dynamic Symmetry Dover Publications Inc.
Książki / Literatura obcojęzyczna
INTRODUCTION Synthesis and analysis The difference between static and dynamic symmetry Sources for the study of dynamic symmetryTHE DYNAMIC SYMMETRY OF THE PLANT The summation series How dynamic symmetry was discovered The logarithmic spiral The law of phyllotaxis Explanation of its application to designPART I. SIMPLE RECTANGLES LESSON 1. THE SQUARE (OR UNITY) Methods for manipulating the plan forms of nature The square and its diagonal The square and the diagonal to its half The root rectangles constructed outside a square The linear proportions of the root rectangles The root rectangle constructed within a square LESSON 2. THE RECTANGLE OF THE WHIRLING SQUARES (1.618) AND THE ROOT-FIVE RECTANGLE (2.236) Construction of a whirling square rectangle Method for constructing a root-five from a whirling square rectangle "Cutting a line in what Plato called "the section" LESSON 3. THE APPLICATION OF AREAS Simple method of the Greeks for the division of areas Process for the application of the square on an end to a side of a rectangle LESSON 4. THE RECIPROCAL Definition of a reciprocal Importance to design of a reciprocal shape "Explanation of the name "whirling squares" Arithmetical statement of the reciprocal considered Relationship between whirling square reciprocals and the root-five rectangle LESSON 5. THE DIAGONAL The diagonal of a rectangle The 47th proposition of the first book of Euclid The diagonal of a reciprocal Various methods for establishing reciprocals The rectangular spiral Intersection of a diagonal of the whole with a diagonal of the reciprocal Division of the root rectangles into their reciprocals LESSON 6. THE ROOT-TWO RECTANGLE (1.4142) Why a root-two rectangle is so called Rectangular spirals in a root-two rectangle A root-two rectangle plus a square A root-two rectangle described within a square Root-two rectangles described on the four sides of a square The reciprocal of a root-two rectangle plus a square A square plus two root-two reciprocals Division of a root-two rectangle into its reciprocals Division of any rectangle into thirds LESSON 7. THE ROOT-TWO RECTANGLE AND THE APPLICATION OF AREAS "A square "applied" on the end of a root-two rectangle " Application of areas to other areas A square applied to each end of a root-two rectangle Division of a root-two rectangle when the diagonal of the whole cuts the side of an applied square Application of a square on an end to a side of a root-two rectangle Similarity of figure A root-two rectangle applied to the square of a 2.4142 shape A square applied to a root-two reciprocal LESSON 8. THE ROOT-THREE RECTANGLE (1.732) Construction of a root-three rectangle Application of a square on the end of a root-three rectangle A square on an end applied to a side or a root-three rectangle Division of the root-three rectangle into its reciprocals Different ways of dividing the root-three rectangle into similar shapes LESSON 9. THE ROOT-FOUR RECTANGLE (2.) Construction of a root-four rectangle Division into its reciprocals Dynamic and static treatment of a root-four rectangle A whirling square rectangle applied to a root-four rectangle A square on an end applied to a side or a root-four rectangle LESSON 10. THE ROOT-FIVE RECTANGLE (2.236) Construction of a root-five rectangle Four whirling square rectangles described on the four sides of a square A square applied on the end of a root-five rectangle A square on an end applied to a side of a root-five rectangle Division of the root-five rectangle into its reciprocal LESSON 11. THE SPIRAL AND OTHER CURVES OF DYNAMIC SYMMETRY The logarithmic or constant angle spiral The first geometrical discovery made by the Greeks "Another great discovery, that of a mean proportional" Definition of a mean proportional Lines in continued proportion Logarithmic spiral drawn within a rectangle Construction of volutes of different kinds LESSON 12. GENERAL CONSTRUCTIONS FOR SIMILARITY OF FIGURE Enlargement and reduction of shapes by a diagonal Construction of similar shapes which can be moved up or down on a medial line Similar shapes constructed from any point in a rectangle Properties of modulation and measurableness in dynamic areas Properties of shapes similar to dynamic subdivisions of areas Construction of shapes similar to dynamic subdivisions of areas. Eternal principle of growth in dynamic shapesPART II. COMPOUND RECTANGLES LESSON I. THE COMPLEMENT Form and color complements compared Definition of a complement Relationship between areas and their complements Division of areas in terms of their complements A reciprocal in a complement of a root-five rectangle Intention the dominant factor in artistic expression Importance to the artist of the use of diagonal lines To transfer a complement How to construct different rectangles in single and multiple form within areas LESSON II. RHYTHMIC THEMES OF THE WHIRLING SQUARE RECTANGLE Root-five rectangles within the rectangle of the whirling squares Arithmetical analysis Other subdivisions of the whirling square rectangle Summing up of other ratios appearing in this lesson LESSON III. THE SQUARE PLUS A ROOT-FIVE RECTANGLE (1.4472) AND A WHIRLING SQUARE RECTANGLE APPLIED TO A SQUARE "The 1.4472 rectangle, the key ratio of the Parthenon plan" Its natural source in the regular pentagon How to draw a square plus a root-five rectangle Connection between the ratio 1.4472 and 1.382 How a whirling square rectangle is applied to a square Diagonals of the whole and diagonals of the reciprocals drawn to a whirling square rectangle within a square LESSON IV. COMPOUND RECTANGLES WITHIN A SQUARE Area in excess of a root-five rectangle placed within a square Natural source of an .809 rectangle A .191 rectangle A 1.191 rectangle LESSON V. FURTHER ANALYSIS OF THE SQUARE Analysis of excess areas resulting from application of a whirling square rectangle to a square LESSON VI. THE ADDITION OF UNITY TO DYNAMIC AREAS & "List, with corresponding diagrams, of the most important ratios of dynamic symmetry, with their reciprocals, 1/2 ratios and 1/2 reciprocals" LESSON IX. RATIOS MOST FREQUENTLY USED?Continued Analysis of a 2.309 shape with list of its subdivisions "List of subdivisions of the 2.4472, 2.472, 2.618 and 2.764 shapes" Odd compound rectangles within a squareWHAT INSTRUMENTS TO USE AND HOW TO USE THEMDEFINITIONS SELECTED FROM THE THIRTEEN BOOKS OF EUCLID'S ELEMENTSGLOSSARY
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New In Chess 2018/4: The Club Player's Magazine
Szachy > Książki New In Chess
Issue 2018#4 brings you 108 pages of the best in chess Sam Shankland: The tallest king In St. Louis Caruana, So or Nakamura, who would be the new US Champion? Well, none of them, as Sam Shankland claimed the title, pocketed $ 50,000 and finally crossed the 2700 ELO mark. Magnus Carlsen: Hat-trick in Shamkir #8216;Mediocre#8217; play proved good enough for Magnus Carlsen to win the Vugar Gashimov Memorial for the third time (with a 2884 performance). Fabiano Caruana continued Only four days after the Candidates in Berlin, Fabiano Caruana sat down to play ... Magnus Carlsen! The American won the Grenke Classic. Vincent Keymer (13) sensationally claimed the Grenke Open. Nigel Short Columnist Nigel Short explains why he is running for FIDE President. Judit Polgar Time-trouble is no good, Judit Polgar warns, but can produce fascinating chess. Reuben Fine: Double Genius He was one of the strongest chess players in the world when he abandoned chess to embark on a brilliant career in psychology. Celeb64: Arnold Schwarzenegger Amber chess A dazzling and enchanting chess set with a price tag of 580,000 euros. NIC#8217;s Café Milos Forman (1932-2018) loved chess and even collected chairs used in world championship matches. Your Move More correspondence chess (and Nigel Short) and who was that elderly gentleman in London in the 1970s? US Championship A graphic on the history of one of the great national championships. Fair Square Daniel #8217;007#8217; Craig explains sexiness in the movies. Chess Pattern Recognition Another exchange sac worth knowing. The Blitz Whisperer More blitz tips from Maxim Dlugy. Most of the time it#8217;s not about pawns. Maximize Your Tactics Find the right moves. Into the lion#8217;s den Hans Ree on a book about Vladimir Kramnik by his former manager Carsten Hensel. Sadler on Books Who doesn#8217;t know that Mikhail Tal was famous for his daring sacrifices? But Matthew Sadler points out that the endgames that arose as a result could be just as fascinating. No Moro Magic in Malmö But Jan Timman saw that the youngsters did not hide their ambitions at the TePe Sigeman tournament. Just Checking Where is Daniil Dubov#8217;s favourite place in the world?
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Boundary Element Method for Impedance and Optical Tomoggraphy Politechnika Warszawska
MEDYCYNA
There is a lot of excellent books devoted the Boundary Element Method (BEM). That is why I would not dare to write one more. The main goal of this book is only to show the problems of modelling the forward problems of Diffusive Optical Tomography (DOT) or Electrical Impedance Tomography (EIT) when the Boundary Element is used in 2D or 3D space. The modern Inverse Problems are solved by the iterative process in which we have to solve many times the forward problems for which the design parameters are improved due to the Sensitivity Analysis (SA). The scope of this book is limited to the forward problems and methods presentation of their effective solution in 2D and 3D space with the aid of the Boundary Element Method. The special attention was paid to the basic of the BEM because majority of the monographes devoted this method, do not pay enough attention to the problems of singular integrals integrations. This problem is already solved by many famous authors ( maybe with the exception of the 3D Galerkin approach) but is spread in the literature, in most cases, not easily accessible. That is why it seems to be reasonable to present this problem in full details in this work. A lot of attention was devoted to the problem of modelling of the infant head for the DOT. The BEM seems to be more elastic tool than the FEM. This work tries to prove this opinion. Spis treści: List of symbols Introduction 1. Two-dimensional potential problems 1.1. Introduction 1.2. Laplace equation 1.2.1. Division of the boundary into constant boundary elements 1.2.2. Numerical integration of the kernels 1.2.3. Division of the boundary into linear boundary elements 1.2.4. Numerical integration of the kernels 1.2.5. Division of the boundary into quadratic boundary elements 1.2.6. Numerical integration of the kernels 1.2.7. Numerical integration of the c(r) coefficient 1.2.8. Internal points calculation 1.2.9. Symbolic calculation 1.3. Diffusion equation 1.3.1. Treatment of singularity 1.3.2. Internal points calculation 1.3.3. Example 1.4. Diffusion equation in frequency domain 1.4.1. Treatment of singularity 1.4.2. Internal points calculation 1.5. Examples 1.5.1. Cartesian coordinate system 1.5.2. Polar coordinate system 1.5.3. Distributed source for a diffusion model for light transport 1.5.4. Point source located on the boundary for a diffusion model for light transport 1.5.5. Point source located inside the region for a diffusion model for light transport 1.5.6. Comparison FEM and BEM results of calculation 1.5.7. Conclusion 1.6. Anisotropic medium 1.6.1. Anisotropy model 1.6.2. Treatment of singularity 1.6.3. Comparison FEM and BEM results 1.7. Galerkin formulation of boundary integral equations 1.7.1. Analytical integrations of coincident integrands 1.7.2. Numerical integrations of coincident integrands 2. Three-dimensional potential problems 2.1. Introduction 2.2. Singular and nearly singular integrals 2.3. Governing equations 2.4. Zero-order interpolation functions 2.4.1. Jacobian 2.4.2. Integration of non-singular integrals over the triangle 2.4.3. Integration of singular integrals 2.5. First-order interpolation functions 2.6. Second-orderinterpolation functions 2.6.1. Triangular boundary elements 2.6.2. Numerical integration of singular integrals 2.6.3. Quadrilateral boundary elements 2.6.4. Integration of non-singular integrals over the square 2.6.5. Integration of singular integrals over the square 2.7. Treatment of Boundary Conditions 2.7.1. Dirichlet boundary conditions 2.7.2. Neumann boundary conditions 2.7.3. Robin boundary conditions 2.7.4. Mixed boundary conditions 2.8. Non-homogeneity 2.9. Index mismatched diffusive/diffusive interfaces 2.9.1. Approximate interface conditions 2.9.2. Complete interface conditions 2.10. Numerical examples 2.10.1. Cube 2.10.2. Two concentric spheres 2.10.3. The proximity effect 2.10.4. Results for spatially non-homogeneous region in 2D space 3. Diffusion model for light transport in the frequency domain 3.1. Governing equations 3.1.1. Two dimensional space 3.1.2. Three dimensional space 3.1.3. The Boundary Element Method 3.2. Numerical Implementation 3.2.1. Jacobian 3.2.2. Matrix Assembly 3.3. Numerical integration of singular integrals in 3D 3.3.1. Mapping formula for triangular constant element 3.3.2. Isoparametric triangular quadratic element 3.3.3. Isoparametric quadrilateral quadratic element 3.4. Results for 3D 3.4.1. Validation of numerical results 3.4.2. Measures of the accuracy 3.4.3. Quadratic meshing 3.5. Multilayered model of the neonatal head 4. Light propagation in diffusive media with non-scattering regions 4.1. Introduction 4.2. Governing equations for non-scattering sphere embedded in a diffusive spherical region 4.2.1. The Boundary Element Method 4.2.2. Matrix form of integral equations 4.3. The Form Factor 4.3.1. The Form Factor calculated analytically 4.3.2. The Form Factor calculated numerically 4.4. Results 4.4.1. The steady state 4.4.2. The frequency domain solution - 100 MHz 4.5. Non-scattering gap between two diffusive regions of a spherical shape 4.5.1. Form Factor calculated analytically 4.5.2. Visibility function calculated analytically 4.5.3. Visibility function calculated numerically 4.5.4. Point in triangle test 4.5.5. Integral equations 4.5.6. Matrix form of integral equations 4.6. Results for the void gap 4.6.1. The steady state 4.6.2. The frequency domain solution - 100 MHz 4.7. Consistency checks for BEM solutions 4.7.1. Diffusion equation case 4.7.2. Radiosity-Diffusion equation case 4.8. Nuutti's 2D test example 4.8.1. Analytical solution for diffusive boundary conditions 4.8.2. Analytical solution for P1 boundary conditions 4.8.3. Numerical results 4.8.4. Multilayered neonatal head model with the CSF layer 4.9. Conclusion 5. BEM formulation for thin layers 5.1. Introduction 5.2. Standard BEM formulation 5.3. Modification for closely spaced surfaces 5.4. Integration of singular integrals 5.5. Future work 5.6. Conclusion 6. Wavelet based techniques for CPU time reduction 6.1. Discrete wavelet transform 6.2. Time acceleration 6.3. DWT with permutations 6.4. DWT when the size of the coefficient matrix is not a number equal to 2n 6.5. Conclusion 7. FEM-BEM coupling 7.1. 2D space 7.1.1. Incorporating the BE equations to the FE ones 7.2. Numerical examples 7.2.1. Simple benchmark problem 7.2.2. Two squares one immersed in the other 7.2.3. Concentric circles 7.3. 2D void comparison 7.3.1. Boundary conditions at diffusive/non-diffusive interfaces 7.3.2. P1 boundary conditions 7.3.3. Diffusive boundary conditions 8. Miscellaneous 8.1. Introduction to FEM mixed formulation 8.2. Mixed formulation for Laplace equation 8.2.1. Discretization of mixed forms 8.2.2. Robin boundary conditions 8.3. Mixed formulation for Diffusion equation 8.3.1. Three nodes triangle with three degrees of freedom-P1 triangle 8.3.2. Three nodes triangle with the middle sides nodes 8.3.3. Three nodes triangle with a bubble function at the barycenter - P1 + triangle Bibliography
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Japanese Writing Practice Workbook: Genkouyoushi Paper For Writing Japanese Kanji, Kana, Hiragana And Katakana Letters Independently Published
Książki / Literatura obcojęzyczna
Large Japanese Writing Practice Workbook. This book is for practicing your Japanese lettering. It has columns of squares, and each square is divided into 4 quadrants to help position your strokes. Each square is designed to accommodate
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Japanese Writing Practice Workbook: Genkouyoushi Paper For Writing Japanese Kanji, Kana, Hiragana And Katakana Letters - Geisha Teasing The Cat Independently Published
Książki / Literatura obcojęzyczna
Large Japanese Writing Practice Workbook. This book is for practicing your Japanese lettering. It has columns of squares, and each square is divided into 4 quadrants to help position your strokes. Each square is designed to accommodate
Sklep: Libristo.pl
Japanese Writing Practice Workbook: Genkouyoushi Paper For Writing Japanese Kanji, Kana, Hiragana And Katakana Letters - Pear Blossoms And Swallows Independently Published
Książki / Literatura obcojęzyczna
Large Japanese Writing Practice Workbook. This book is for practicing your Japanese lettering. It has columns of squares, and each square is divided into 4 quadrants to help position your strokes. Each square is designed to accommodate
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Japanese Writing Practice Workbook: Genkouyoushi Paper For Writing Japanese Kanji, Kana, Hiragana And Katakana Letters - Wave Off Kanagawa Independently Published
Książki / Literatura obcojęzyczna
Large Japanese Writing Practice Workbook. This book is for practicing your Japanese lettering. It has columns of squares, and each square is divided into 4 quadrants to help position your strokes. Each square is designed to accommodate
Sklep: Libristo.pl
Japanese Writing Practice Workbook: Genkouyoushi Paper For Writing Japanese Kanji, Kana, Hiragana And Katakana Letters Independently Published
Książki / Literatura obcojęzyczna
Large Japanese Writing Practice Workbook. This book is for practicing your Japanese lettering. It has columns of squares, and each square is divided into 4 quadrants to help position your strokes. Each square is designed to accommodate
Sklep: Libristo.pl
XSLT 2.0 and XPath 2.0 Programmer's Reference 4e John Wiley & Sons Inc
Książki / Literatura obcojęzyczna
This book is primarily a practical reference book for professional XSLT developers. It assumes no previous knowledge of the language, and many developers have used it as their first introduction to XSLT; however, it is not structured as a tutorial, and there are other books on XSLT that provide a gentler approach for beginners. The book does assume a basic knowledge of XML, HTML, and the architecture of the Web, and it is written for experienced programmers. There's no assumption that you know any particular language such as Java or Visual Basic, just that you recognize the concepts that all programming languages have in common. The book is suitable both for XSLT 1.0 users upgrading to XSLT 2.0, and for newcomers to XSLT. The book is also equally suitable whether you work in the Java or .NET world. As befits a reference book, a key aim is that the coverage should be comprehensive and authoritative. It is designed to give you all the details, not just an overview of the 20 percent of the language that most people use 80 percent of the time.It's designed so that you will keep coming back to the book whenever you encounter new and challenging programming tasks, not as a book that you skim quickly and then leave on the shelf. If you like detail, you will enjoy this book; if not, you probably won't. But as well as giving the detail, this book aims to explain the concepts, in some depth. It's therefore a book for people who not only want to use the language but who also want to understand it at a deep level. The book aims to tell you everything you need to know about the XSLT 2.0 language. It gives equal weight to the things that are new in XSLT 2.0 and the things that were already present in version 1.0. The book is about the language, not about specific products. However, there are appendices about Saxon (the author's own implementation of XSLT 2.0), about the Altova XSLT 2.0 implementation, and about the Java and Microsoft APIs for controlling XSLT transformations, which will no doubt be upgraded to handle XSLT 2.0 as well as 1.0. A third XSLT 2.0 processor, Gestalt, was released shortly before the book went to press, too late to describe it in any detail. But the experience of XSLT 1.0 is that there has been a very high level of interoperability between different XSLT processors, and if you can use one of them, then you can use them all.In the previous edition we split XSLT 2.0 and XPath 2.0 into separate volumes. The idea was that some readers might be interested in XPath alone. However, many bought the XSLT 2.0 book without its XPath companion and were left confused as a result; so this time, the material is back together. The XPath reference information is in self-contained chapters, so it should still be accessible when you use XPath in contexts other than XSLT. The book does not cover XSL Formatting Objects, a big subject in its own right. Nor does it cover XML Schemas in any detail. If you want to use these important technologies in conjunction with XSLT, there are other books that do them justice. This book contains twenty chapters and eight appendixes (the last of which is a glossary) organized into four parts. The following section outlines what you can find in each part, chapter, and appendix. Part I: Foundations: The first part of the book covers essential concepts. You should read these before you start coding.If you ignore this advice, as most people do, then you read them when you get to that trough of despair when you find it impossible to make the language do anything but the most trivial tasks. XSLT is different from other languages, and to make it work for you, you need to understand how it was designed to be used. Chapter 1: XSLT in Context: This chapter explains how XSLT fits into the big picture: how the language came into being and how it sits alongside other technologies. It also has a few simple coding examples to keep you alert. Chapter 2: The XSLT Processing Model: This is about the architecture of an XSLT processor: the inputs, the outputs, and the data model. Understanding the data model is perhaps the most important thing that distinguishes an XSLT expert from an amateur; it may seem like information that you can't use immediately, but it's knowledge that will stop you making a lot of stupid mistakes. Chapter 3: Stylesheet Structure: XSLT development is about writing stylesheets, and this chapter takes a bird's eye view of what stylesheets look like.It explains the key concepts of rule-based programming using templates, and explains how to undertake programming-in-the-large by structuring your application using modules and pipelines. Chapter 4: Stylesheets and Schemas: A key innovation in XSLT 2.0 is that stylesheets can take advantage of knowledge about the structure of your input and output documents, provided in the form of an XML Schema. This chapter provides a quick overview of XML Schema to describe its impact on XSLT development. Not everyone uses schemas, and you can skip this chapter if you fall into that category. Chapter 5: The Type System: XPath 2.0 and XSLT 2.0 offer strong typing as an alternative to the weak typing approach of the 1.0 languages. This means that you can declare the types of your variables, functions, and parameters, and use this information to get early warning of programming errors. This chapter explains the data types available and the mechanisms for creating user-defined types. Part II: XSLT and XPath Reference: This section of the book contains reference material, organized in the hope that you can easily find what you need when you need it.It's not designed for sequential reading, though you might well want to leaf through the pages to discover what's there. Chapter 6: XSLT Elements: This monster chapter lists all the XSLT elements you can use in a stylesheet, in alphabetical order, giving detailed rules for the syntax and semantics of each element, advice on usage, and examples. This is probably the part of the book you will use most frequently as you become an expert XSLT user. It's a "no stone unturned" approach, based on the belief that as a professional developer you need to know what happens when the going gets tough, not just when the wind is in your direction. Chapter 7: XPath Fundamentals: This chapter explains the basics of XPath: the low-level constructs such as literals, variables, and function calls. It also explains the context rules, which describe how the evaluation of XPath expressions depends on the XSLT processing context in which they appear. Chapter 8: XPath: Operators on Items: XPath offers the usual range of operators for performing arithmetic, boolean comparison, and the like.However, these don't always behave exactly as you would expect, so it's worth reading this chapter to see what's available and how it differs from the last language that you used. Chapter 9: XPath: Path Expressions: Path expressions are what make XPath special; they enable you to navigate around the structure of an XML document. This chapter explains the syntax of path expressions, the 13 axes that you can use to locate the nodes that you need, and associated operators such as union, intersection, and difference. Chapter 10: XPath: Sequence Expressions: Unlike XPath 1.0, in version 2.0 all values are sequences (singletons are just a special case). Some of the most important operators in XPath 2.0 are those that manipulate sequences, notably the "for" expression, which translates one sequence into another by applying a mapping. Chapter 11: XPath: Type Expressions: The type system was explained in Chapter 5; this chapter explains the operations that you can use to take advantage of types. This includes the "cast" operation which is used to convert values from one type to another.A big part of this chapter is devoted to the detailed rules for how these conversions are done.Chapter 12: XSLT Patterns: This chapter returns from XPath to a subject that's specific to XSLT. Patterns are used to define template rules, the essence of XSLT's rule-based programming approach. The reason for explaining them now is that the syntax and semantics of patterns depends strongly on the corresponding rules for XPath expressions. Chapter 13: The Function Library: XPath 2.0 includes a library of functions that can be called from any XPath expression; XSLT 2.0 extends this with some additional functions that are available only when XPath is used within XSLT. The library has grown immensely since XPath 1.0. This chapter provides a single alphabetical reference for all these functions. Chapter 14: Regular Expressions: Processing of text is an area where XSLT 2.0 and XPath 2.0 are much more powerful than version 1.0, and this is largely through the use of constructs that exploit regular expressions. If you're familiar with regexes from languages such as Perl, this chapter tells you how XPath regular expressions differ. If you're new to the subject, it explains it from first principles.Chapter 15: Serialization: Serialization in XSLT means the ability to generate a textual XML document from the tree structure that's manipulated by a stylesheet. This isn't part of XSLT processing proper, so (following W3C's lead) it's separated it into its own chapter. You can control serialization from the stylesheet using an declaration, but many products also allow you to control it directly via an API. Part III: Exploitation: The final section of the book is advice and guidance on how to take advantage of XSLT to write real applications. It's intended to make you not just a competent XSLT coder, but a competent designer too. The best way of learning is by studying the work of others, so the emphasis here is on practical case studies. Chapter 16: Extensibility: This chapter describes the "hooks" provided in the XSLT specification to allow vendors and users to plug in extra functionality. The way this works will vary from one implementation to another, so we can't cover all possibilities, but one important aspect that the chapter does cover is how to use such extensions and still keep your code portable.Chapter 17: Stylesheet Design Patterns: This chapter explores a number of design and coding patterns for XSLT programming, starting with the simplest "fill-in-the-blanks" stylesheet, and extending to the full use of recursive programming in the functional programming style, which is needed to tackle problems of any computational complexity. This provides an opportunity to explain the thinking behind functional programming and the change in mindset needed to take full advantage of this style of development. Chapter 18: Case Study: XMLSpec: XSLT is often used for rendering documents, so where better to look for a case study than the stylesheets used by the W3C to render the XML and XSLT specifications, and others in the same family, for display on the web? The resulting stylesheets are typical of those you will find in any publishing organization that uses XML to develop a series of documents with a compatible look-and-feel. Chapter 19: Case Study: A Family Tree: Displaying a family tree is another typical XSLT application.This example with semi-structured data-a mixture of fairly complex data and narrative text-that can be presented in many different ways for different audiences. It also shows how to tackle another typical XSLT problem, conversion of the data into XML from a legacy text-based format. As it happens, this uses nearly all the important new XSLT 2.0 features in one short stylesheet. But another aim of this chapter is to show a collection of stylesheets doing different jobs as part of a complete application. Chapter 20: Case Study: Knight's Tour: Finding a route around a chessboard where a knight visits every square without ever retracing its steps might sound a fairly esoteric application for XSLT, but it's a good way of showing how even the most complex of algorithms are within the capabilities of the language. You may not need to tackle this particular problem, but if you want to construct an SVG diagram showing progress against your project plan, then the problems won't be that dissimilar. Part IV: Appendices: A ppendix A: XPath 2.0 Syntax Summary: Collects the XPath grammar rules and operator precedences into one place for ease of reference.Appendix B: Error Codes: A list of all the error codes defined in the XSLT and XPath language specifications, with brief explanations to help you understand what's gone wrong. Appendix C: Backward Compatibility: The list of things you need to look out for when converting applications from XSLT 1.0. Appendix D: Microsoft XSLT Processors: Although the two Microsoft XSLT processors don't yet support XSLT 2.0, we thought many readers would find it useful to have a quick summary here of the main objects and methods used in their APIs. Appendix E: JAXP: the Java API for XML Processing: JAXP is an interface rather than a product. Again, it doesn't have explicit support yet for XSLT 2.0, but Java programmers will often be using it in XSLT 2.0 projects, so the book includes an overview of the classes and methods available. Appendix F: Saxon: At the time of writing Saxon (developed by the author of this book) provides the most comprehensive implementation of XSLT 2.0 and XPath 2.0, so its interfaces and extensions are covered in some detail. Appendix G: Altova: Altova, the developers of XML Spy, have an XSLT 2.0 processor that can be used either as part of the development environment or as a freestanding component.This appendix gives details of its interfaces. Appendix H: Glossary Note: CD-ROM/DVD and other supplementary materials are not included as part of eBook file.
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Life Is Strange Vol. 1: Dust Titan Books
Książki / Literatura obcojęzyczna
Titan Comics and SQUARE ENIX
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Techniques and Applications of Path Integration Dover Publications Inc.
Książki / Literatura obcojęzyczna
Part I Introduction 1 Introduction and Defining the Path Integral Appendix: The Trotter Product Formula 2 Probabilities and Probability Amplitudes for Paths 3 Correspondence Limit for the Path Integral (Heuristic) Appendix: Useful Integrals 4 Vector Potentials and Another Proof of the Path Integral Formula 5 The Ito Integral and Gauge Transformations 6 Doing the Integral: Free Particle and Quadratic Lagrangians Appendix: Exactness of the Sum over Classical Paths 7 Properties of Green's Functions; the Feynman-Kac Formula 8 Functional Derivatives and Commutation Relations 9 Brownian Motion and the Wiener Integral; Kac's Proof 10 Perturbation Theory and Feynman DiagramsPart II Selected Applications of the Path Integral 11 Asymptotic Analysis 12 The Calculus of Variations 13 The WKB Approximation and its Application to the Anharmonic Oscillator 14 Detailed Presentation of the WKB Approximation 15 WKB Near Caustics 16 Caustics and Uniform Asymptotic Approximations 17 The Phase of the Semiclassical Amplitude 18 The Semiclassical Propagator as a Function of Energy 19 Scattering Theory 20 Geometrical Optics 21 The Polaron 22 Spin and Related Matters 22.1 The Direct Method-Product Integrals or Time Ordered Products 22.2 Continuous Models for Spin 23 Path Integrals for Multiply Connected Spaces 23.1 Particle Constrained to a Circle 23.2 Rudiments of Homotopy Theory 23.3 Homotopy Applied to the Path Integral 23.4 Extensions of Symmetric Operators 24 Quantum Mechanics on Curved Spaces 25 Relativistic Propagators and Black Holes 26 Applications to Statistical Mechanics 27 Coherent State Representation 28 Systems with Random Impurities 29 Critical Droplets, Alias Instantons, and Metastability Appendix: Small Oscillations about the Instanton 30 Renormalization and Scaling for Critical Phenomena 31 Phase Space Path Integral 32 Omissions, Miscellany, and Prejudices 32.1 Field Theory 32.2 Uncompleting the Square 32.3 Rubber: Path Integral Formulation of a Polymer as a Random Walk 32.4 Hard Sphere Gas Second Virial Coefficient 32.5 Adding Paths by Computer 32.6 A Perturbation Expansion Using the Path Integral 32.7 Solvable Path Integral with the Potential ax2 + b/x2 32.8 Superfluidity 32.9 Fermions 32.10 Books and Review Papers on Path IntegralsAuthor IndexSubject IndexSupplements
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