LEADER 02695nam 2200601Ia 450 001 9910437918803321 005 20200520144314.0 010 $a9783642290299 010 $a3642290299 024 7 $a10.1007/978-3-642-29029-9 035 $a(CKB)3390000000030171 035 $a(SSID)ssj0000746044 035 $a(PQKBManifestationID)11489085 035 $a(PQKBTitleCode)TC0000746044 035 $a(PQKBWorkID)10862915 035 $a(PQKB)10689108 035 $a(DE-He213)978-3-642-29029-9 035 $a(MiAaPQ)EBC3070954 035 $a(PPN)168313472 035 $a(EXLCZ)993390000000030171 100 $a20120803d2013 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 00$aMinimum error entropy classification /$fJoaquim P. Marques de Sa ... [et al.] 205 $a1st ed. 2013. 210 $aBerlin ;$aNew York $cSpringer$dc2013 215 $a1 online resource (XVIII, 262 p.) 225 1 $aStudies in computational intelligence,$x1860-949X ;$v420 300 $aBibliographic Level Mode of Issuance: Monograph 311 08$a9783642437427 311 08$a3642437427 311 08$a9783642290282 311 08$a3642290280 320 $aIncludes bibliographical references and index. 327 $aIntroduction -- Continuous Risk Functionals -- MEE with Continuous Errors -- MEE with Discrete Errors -- EE-Inspired Risks -- Applications. 330 $aThis book explains the minimum error entropy (MEE) concept applied to data classification machines. Theoretical results on the inner workings of the MEE concept, in its application to solving a variety of classification problems, are presented in the wider realm of risk functionals. Researchers and practitioners also find in the book a detailed presentation of practical data classifiers using MEE. These include multi?layer perceptrons, recurrent neural networks, complexvalued neural networks, modular neural networks, and decision trees. A clustering algorithm using a MEE?like concept is also presented. Examples, tests, evaluation experiments and comparison with similar machines using classic approaches, complement the descriptions. 410 0$aStudies in computational intelligence ;$vv. 420. 606 $aMachine learning 606 $aComputational learning theory 615 0$aMachine learning. 615 0$aComputational learning theory. 676 $a006.3/1 701 $aSa$b J. P. Marques de$f1946-$0312072 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910437918803321 996 $aMinimum error entropy classification$94192824 997 $aUNINA LEADER 13566nam 22006615 450 001 9910851998603321 005 20250320131046.0 010 $a9783031552816 024 7 $a10.1007/978-3-031-55281-6 035 $a(CKB)31801770000041 035 $a(MiAaPQ)EBC31319613 035 $a(Au-PeEL)EBL31319613 035 $a(DE-He213)978-3-031-55281-6 035 $a(MiAaPQ)EBC31281380 035 $a(Au-PeEL)EBL31281380 035 $a(OCoLC)1432171150 035 $a(EXLCZ)9931801770000041 100 $a20240416d2024 u| 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aText and Math Into LaTeX /$fby George Gratzer 205 $a6th ed. 2024. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2024. 215 $a1 online resource (628 pages) 311 08$a9783031552809 320 $aIncludes bibliographical references and index. 327 $aIntro -- Short Contents -- Contents -- Foreword -- Preface to the Sixth Edition -- Introduction -- What's this book about? -- A quick overview of this book. -- What is document markup? -- The three layers -- The three platforms -- An outline of the book -- Mission statement -- Conventions -- PART I Mission Impossible -- CHAPTER 1 Short course -- 1.1 Getting started -- 1.1.1 Your LATEX -- 1.1.2 Sample files -- 1.1.3 Editing cycle -- 1.1.4 Typing the source file -- 1.2 The keyboard -- 1.3 Your first text note -- 1.4 Lines too wide -- 1.5 A note with formulas -- 1.6 The building blocks of a formula -- 1.7 Displayed formulas -- 1.7.1 Equations -- 1.7.2 Symbolic referencing -- 1.7.3 Aligned formulas -- 1.7.4 Cases -- 1.8 The anatomy of a document -- 1.9 Your own commands -- 1.10 Adding an illustration -- 1.11 The anatomy of a presentation -- CHAPTER 2 And one more thing -- 2.1 Structure -- 2.2 Auxiliary files -- 2.3 Logical and visual design -- 2.4 General error messages -- 2.5 Errors in math -- 2.6 Your errors: Davey's Dos and Don'ts -- PART II Text into LATEX -- CHAPTER 3 Typing text -- 3.1 The keyboard -- 3.1.1 Basic keys -- 3.1.2 Special keys -- 3.1.3 Prohibited keys -- 3.2 Words, sentences, and paragraphs -- 3.2.1 Spacing rules -- 3.2.2 Periods -- 3.3 Commanding LATEX -- 3.3.1 Commands and environments -- 3.3.2 Scope -- 3.3.3 Types of commands -- 3.4 Symbols not on the keyboard -- 3.4.1 Quotation marks -- 3.4.2 Dashes -- 3.4.3 Ties or nonbreakable spaces -- 3.4.4 Special characters -- 3.4.5 Ellipses -- 3.4.6 Ligatures -- 3.4.7 Accents and symbols in text -- 3.4.8 Logos and dates -- 3.4.9 Hyphenation -- 3.5 Comments and footnotes -- 3.5.1 Comments -- 3.5.2 Footnotes -- 3.6 Lines, paragraphs, and pages -- 3.6.1 Lines -- 3.6.2 Paragraphs -- 3.6.3 Pages -- 3.6.4 Multicolumn printing -- 3.7 Spaces -- 3.7.1 Horizontal spaces -- 3.7.2 Vertical spaces. 327 $a3.7.3 Relative spaces -- 3.7.4 Expanding spaces -- 3.8 Boxes -- 3.8.1 Line boxes -- 3.8.2 Frame boxes -- 3.8.3 Paragraph boxes -- 3.8.4 Marginal comments -- 3.8.5 Solid boxes -- 3.8.6 Fine tuning boxes -- CHAPTER 4 Text environments -- 4.1 Some general rules -- 4.2 List environments -- 4.2.1 Numbered lists -- 4.2.2 Bulleted lists -- 4.2.3 Captioned lists -- 4.2.4 A rule and combinations -- 4.3 Style and size environments -- 4.4 Proclamations (theorem-like structures) -- 4.4.1 The full syntax -- 4.4.2 Proclamations with style -- 4.5 Proof environments -- 4.6 Tabular environments -- 4.6.1 Table styles -- 4.7 Tabbing environments -- 4.8 Miscellaneous displayed text environments -- PART III Fonts for text and math -- CHAPTER 5 Font basics -- 5.1 Shape, size, serif -- 5.2 Document font families -- 5.3 Shape commands -- 5.3.1 Italic corrections -- 5.3.2 Series -- 5.4 Size changes -- 5.5 Orthogonality -- 5.6 Obsolete two-letter commands -- CHAPTER 6 Font encoding -- 6.1 OT1, T1, . . . -- 6.2 Low-level commands -- 6.3 PostScript fonts -- The Times font and MathTime -- Lucida Bright fonts -- 6.4 LATEX localized -- PART IV Math into LATEX -- CHAPTER 7 Typing math -- 7.1 Math environments -- 7.2 Spacing rules -- 7.3 Equations -- 7.4 Basic constructs -- 7.4.1 Arithmetic operations -- 7.4.2 Binomial coefficients -- 7.4.3 Ellipses -- 7.4.4 Integrals -- 7.4.5 Roots -- 7.4.6 Text in math -- 7.4.7 Hebrew and Greek letters -- 7.5 Delimiters -- 7.5.1 Stretching delimiters -- 7.5.2 Delimiters that do not stretch -- 7.5.3 Limitations of stretching -- 7.5.4 Delimiters as binary relations -- 7.6 Operators -- 7.6.1 Operator tables -- 7.6.2 Congruences -- 7.6.3 Large operators -- 7.6.4 Multiline subscripts and superscripts -- 7.7 Math accents -- 7.8 Stretchable horizontal lines -- 7.8.1 Horizontal braces -- 7.8.2 Overlines and underlines. 327 $a7.8.3 Stretchable arrow math symbols -- 7.9 Building a formula step-by-step -- 7.10 Formula Gallery -- CHAPTER 8 More math -- 8.1 Spacing of symbols -- 8.1.1 Classification -- 8.1.2 Three exceptions -- 8.1.3 Spacing commands -- 8.1.4 Examples -- 8.1.5 The phantom command -- 8.2 The STIX math symbols -- Swinging it -- The STIX project -- Installation and usage -- 8.3 Building new symbols -- 8.3.1 Stacking symbols -- 8.3.2 Negating and side-setting symbols -- 8.3.3 Changing the type of a symbol -- 8.4 Math alphabets and symbols -- 8.4.1 Math alphabets -- 8.4.2 Math symbol alphabets -- 8.4.3 Bold math symbols -- 8.4.4 Size changes -- 8.4.5 Continued fractions -- 8.5 Vertical spacing -- 8.6 Tagging and grouping -- 8.7 Miscellaneous -- Generalized fractions -- Boxed formulas -- CHAPTER 9 Multiline math displays -- 9.1 Visual Guide -- 9.1.1 Columns -- 9.1.2 Subsidiary math environments -- 9.1.3 Adjusted columns -- 9.1.4 Aligned columns -- 9.1.5 Touring the Visual Guide -- 9.2 Gathering formulas -- 9.3 Splitting long formulas -- 9.4 Some general rules -- 9.4.1 General rules -- 9.4.2 Subformula rules -- 9.4.3 Breaking and aligning formulas -- 9.4.4 Numbering groups of formulas -- 9.5 Aligned columns -- 9.5.1 An align variant -- 9.5.2 eqnarray, the ancestor of align -- 9.5.3 The subformula rule revisited -- 9.5.4 The alignat environment -- 9.5.5 Inserting text -- 9.6 Aligned subsidiary math environments -- 9.6.1 Subsidiary variants -- 9.6.2 Split -- 9.7 Adjusted columns -- 9.7.1 Matrices -- 9.7.2 Arrays -- 9.7.3 Cases -- 9.8 Commutative diagrams -- 9.9 Adjusting the display -- PART V Document Structure -- CHAPTER 10 Documents -- 10.1 The structure of a document -- 10.2 The preamble -- 10.3 Top matter -- Abstract -- 10.4 Main matter -- 10.4.1 Sectioning -- 10.4.2 Cross-referencing -- 10.4.3 Floating tables and illustrations -- 10.5 Back matter. 327 $a10.5.1 Bibliographies in articles -- 10.5.2 Simple indexes -- 10.6 Visual design -- CHAPTER 11 The AMS article document class -- 11.1 Why amsart? -- 11.1.1 Submitting an article to the AMS -- 11.1.2 Submitting an article to Algebra Universalis -- 11.1.3 Submitting to other journals -- 11.1.4 Submitting to conference proceedings -- 11.2 The top matter -- 11.2.1 Article information -- 11.2.2 Author information -- 11.2.3 AMS information -- 11.2.4 Multiple authors -- 11.2.5 Examples -- 11.2.6 Abstract -- 11.3 The sample article -- 11.4 Article templates -- 11.5 Options -- 11.6 The AMS packages -- 11.7 Legacy documents -- PART VI PDF Documents -- CHAPTER 12 Hyperlinks -- 12.1 Hyperlinks for LATEX -- 12.1.1 Hyperlinks -- 12.1.2 Using -- 12.1.3 backref and colorlinks -- 12.1.4 Bookmarks -- 12.1.5 Additional commands -- 12.2 Line numbers -- CHAPTER 13 Presentations -- 13.1 Quick and dirty -- 1. First changes -- 2. Changes in the body -- 3. Improving the presentation -- 4. Adjusting the navigation -- 13.2 Baby beamers -- 13.2.1 Overlays -- 13.2.2 Understanding overlays -- 13.2.3 More on the \only and \onslide commands -- 13.2.4 Lists as overlays -- 13.2.5 Out-of-sequence slides -- 13.2.6 Blocks and slides -- 13.2.7 Links -- 13.2.8 Columns -- 13.2.9 Coloring -- 13.3 The structure of a presentation -- 13.3.1 Longer presentations -- 13.3.2 Navigation symbols -- 13.4 Notes -- 13.5 Themes -- 13.6 Planning your presentation -- 13.7 What did I leave out? -- CHAPTER 14 Illustrations -- 14.1 First steps: objects on the page -- 14.1.1 Straight lines -- 14.1.2 Parameters for lines -- 14.1.3 Circles, ellipses, dots, and parts thereof -- 14.1.4 The next step: curved lines between points -- 14.1.5 A few more predefined objects -- 14.2 Some tools of the trade -- 14.2.1 Transformations -- 14.2.2 A little repetition -- 14.2.3 Adding some color. 327 $a14.3 Next Step: text and labels on the page -- 14.3.1 Labels, labels everywhere -- 14.3.2 Larger blocks of text -- 14.3.3 Let TikZ do the computations -- 14.4 Graphs of functions and presentations of data -- 14.5 A little planning goes a long way -- 14.5.1 An interesting example -- 14.6 Conclusions -- 14.6.1 TikZ manual -- 14.6.2 Vector graphics -- PART VII Customization -- CHAPTER 15 Commands and environments -- 15.1 Custom commands -- 15.1.1 Examples and rules -- 15.1.2 Arguments -- 15.1.3 Short arguments -- 15.1.4 Optional arguments -- 15.1.5 Redefining commands -- 15.1.6 Defining operators -- 15.1.7 Redefining names -- 15.1.8 Showing the definitions of commands -- 15.1.9 Delimited commands -- 15.2 Custom environments -- 15.2.1 Modifying existing environments -- 15.2.2 Arguments -- 15.2.3 Optional arguments with default values -- 15.2.4 Short contents -- 15.2.5 Brand-new environments -- 15.3 A custom command file -- 15.4 The sample article with custom commands -- 15.5 Numbering and measuring -- 15.5.1 Counters -- 15.5.2 Length commands -- 15.6 Custom lists -- 15.6.1 Length commands for the list environment -- 15.6.2 The list environment -- 15.6.3 Two complete examples -- 15.6.4 The The trivlist environment -- 15.7 The dangers of customization -- PART VIII Long Documents -- CHAPTER 16 BIBTEX -- 16.1 The database -- 16.1.1 Entry types -- 16.1.2 Typing fields -- 16.1.3 Articles -- 16.1.4 Books -- 16.1.5 Conference proceedings and collections -- 16.1.6 Theses -- 16.1.7 Technical reports -- 16.1.8 Manuscripts and other entry types -- 16.1.9 Abbreviations -- 16.2 Using BIBTEX -- 16.2.1 Sample files -- 16.2.2 Setup -- 16.2.3 Four steps of BIBTEXing -- 16.2.4 BIBTEX files -- 16.2.5 BIBTEX rules and messages -- 16.2.6 Submitting an article -- 16.2.7 Some resources -- CHAPTER 17 Beyond BIBTEX -- 17.1 BibLATEX -- 17.1.1 Introduction. 327 $a17.1.2 BibLATEX overview. 330 $aFor more than 30 years, this comprehensive manual has been the standard introduction and complete reference for writing articles and books containing mathematical formulas. This sixth edition uses a slightly changed title, Text and Math into LaTeX, to emphasize the importance of text in mathematical/scientific composition. Sections that contained commands no longer much needed (such as \includeonly) and the introductory sections to PDF (now ubiquitous) have been omitted. Many sections are now enhanced with discussion of new and useful packages. An occasional encouragement for the reader to consult ChatGPT for confirmation on various points illustrates the positive relationship between ChatGPT and LaTeX. The new Chapter 17 describes recent developments that enhance, or replace, BibTeX; the new Appendix C, introduces the reader to ChatGPT. Key features: An example-based, visual approach and a gentle introduction with the Short Course A detailed exposition of multiline math formulas with a Visual Guide A unified approach to TeX, LaTeX, and the AMS enhancements A quick introduction to creating presentations with formulas A detailed approach to creating illustrations Extras are provided on SpringerLink for the following chapters: 1, 2, 3, 4, 6, 7, 10, 11, 13, 14, 15, 16, 17, 18 and Appendices A, B From reviews of previous editions: George Grätzer?s books have been nearly as successful and enduring as the amazing software they are devoted to. This well known manual provides a reliable and thorough introduction and comprehensive reference for everyone who does not want to depend on various resources available online. ?C. Baxa, Monatshefte für Mathematik, Vol. 192 (2), 2020 Grätzer?s book is a solution. ?European Mathematical Society Newsletter There are several LaTeX guides, but this one wins hands down for the elegance of its approach and breadth of coverage. ?Amazon.com, Best of 2000, Editor?s choice A novice reader will be able to learn the most essential features of LaTeX sufficient to begin typesetting papers within a few hours of time? An experienced TeX user, on the other hand, will find a systematic and detailed discussion of LaTeX features. ?Report on Mathematical Physics A very helpful and useful tool for all scientists and engineers. ?Review of Astronomical Tools. 606 $aComputer software 606 $aCoding theory 606 $aInformation theory 606 $aComputer science$xMathematics 606 $aMathematical Software 606 $aCoding and Information Theory 606 $aMathematical Applications in Computer Science 615 0$aComputer software. 615 0$aCoding theory. 615 0$aInformation theory. 615 0$aComputer science$xMathematics. 615 14$aMathematical Software. 615 24$aCoding and Information Theory. 615 24$aMathematical Applications in Computer Science. 676 $a686.22544536 700 $aGratzer$b George A.$041999 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 912 $a9910851998603321 996 $aText and Math Into LaTeX$94247339 997 $aUNINA