1878 lines
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HTML
1878 lines
47 KiB
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<title>Scientific Computing · Learn Lisp The Hard Way</title>
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<li class="header">LEARN LISP THE HARD WAY</li>
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<li class="chapter " data-level="1.1" data-path="./">
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Second Draft (in-progress)
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CHANGELOG
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TODO
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TANSTAAFL
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<li class="chapter " data-level="2.2" data-path="preface-part-two.html">
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<a href="preface-part-two.html">
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The Hard Way is Easier
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</a>
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<li class="chapter " data-level="2.3" data-path="preface-part-three.html">
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Who Is This Book For?
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</a>
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<li class="chapter " data-level="2.4" data-path="introduction.html">
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<a href="introduction.html">
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Lisp: A Future History
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</a>
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</li>
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<li class="chapter " data-level="2.5" data-path="acknowledgements.html">
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<a href="acknowledgements.html">
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Acknowledgements
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</a>
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</li>
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<li class="header">PART ONE</li>
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<li class="chapter " data-level="3.1" data-path="1-0-0-overview.html">
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<a href="1-0-0-overview.html">
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Grokking Lisp
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</a>
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<ul class="articles">
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<li class="chapter " data-level="3.1.1" data-path="1-01-00-lisp-bootcamp.html">
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<a href="1-01-00-lisp-bootcamp.html">
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Common Lisp Bootcamp
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</a>
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<ul class="articles">
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<li class="chapter " data-level="3.1.1.1" data-path="1-01-01-syntax-overview.html">
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<a href="1-01-01-syntax-overview.html">
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Syntax Overview in 5 Minutes
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</a>
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</li>
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<li class="chapter " data-level="3.1.1.2" data-path="1-01-02-repl.html">
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<a href="1-01-02-repl.html">
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The REPL
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</a>
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</li>
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<li class="chapter " data-level="3.1.1.3" data-path="1-01-03-expressions.html">
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<a href="1-01-03-expressions.html">
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Expressions, Parentheses, and Return Values
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</a>
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</li>
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<li class="chapter " data-level="3.1.1.4" data-path="1-01-04-lists-cons-cells.html">
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<a href="1-01-04-lists-cons-cells.html">
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Lists, Cons-Cells, and Memory
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</a>
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</li>
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<li class="chapter " data-level="3.1.1.5" data-path="1-01-05-symbols.html">
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<a href="1-01-05-symbols.html">
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Symbols and Namespaces
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</a>
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</li>
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<li class="chapter " data-level="3.1.1.6" data-path="1-01-06-prefix-notation.html">
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<a href="1-01-06-prefix-notation.html">
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Prefix Notation
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</a>
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</li>
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<li class="chapter " data-level="3.1.1.7" data-path="1-01-07-style-guide.html">
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<a href="1-01-07-style-guide.html">
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Common Lisp Style Guide
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</a>
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</li>
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<li class="chapter " data-level="3.1.1.8" data-path="1-01-08-configuration.html">
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<a href="1-01-08-configuration.html">
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Configuring Your Development Environment
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</a>
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</li>
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</ul>
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</li>
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<li class="chapter " data-level="3.1.2" data-path="1-02-00-input-output.html">
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<a href="1-02-00-input-output.html">
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Printing, Streams, and Strings
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</a>
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<ul class="articles">
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<li class="chapter " data-level="3.1.2.1" data-path="1-02-01-strings.html">
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<a href="1-02-01-strings.html">
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Strings
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</a>
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</li>
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<li class="chapter " data-level="3.1.2.2" data-path="1-02-02-more-strings.html">
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<a href="1-02-02-more-strings.html">
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More Strings
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</a>
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</li>
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<li class="chapter " data-level="3.1.2.3" data-path="1-02-03-unicode.html">
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<a href="1-02-03-unicode.html">
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Unicode and Strings
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</a>
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</li>
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<li class="chapter " data-level="3.1.2.4" data-path="1-02-04-chars.html">
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<a href="1-02-04-chars.html">
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Characters
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</a>
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</li>
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<li class="chapter " data-level="3.1.2.5" data-path="1-02-05-more-chars.html">
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<a href="1-02-05-more-chars.html">
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More Characters
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</a>
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</li>
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<li class="chapter " data-level="3.1.2.6" data-path="1-02-06-char-codes.html">
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<a href="1-02-06-char-codes.html">
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Character Codes
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</a>
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</li>
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<li class="chapter " data-level="3.1.2.7" data-path="1-02-07-strings-from-chars.html">
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<a href="1-02-07-strings-from-chars.html">
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Strings from Chars
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</a>
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</li>
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<li class="chapter " data-level="3.1.2.8" data-path="1-02-08-printing.html">
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<a href="1-02-08-printing.html">
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Printing
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</a>
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</li>
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<li class="chapter " data-level="3.1.2.9" data-path="1-02-09-more-printing.html">
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<a href="1-02-09-more-printing.html">
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More Printing
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</a>
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</li>
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<li class="chapter " data-level="3.1.2.10" data-path="1-02-10-prin1.html">
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<a href="1-02-10-prin1.html">
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Printing With prin1
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</a>
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</li>
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<li class="chapter " data-level="3.1.2.11" data-path="1-02-11-princ.html">
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<a href="1-02-11-princ.html">
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Printing With princ
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</a>
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</li>
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<li class="chapter " data-level="3.1.2.12" data-path="1-02-12-format.html">
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<a href="1-02-12-format.html">
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A Brief Introduction to Format
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</a>
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</li>
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<li class="chapter " data-level="3.1.2.13" data-path="1-02-13-more-format.html">
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<a href="1-02-13-more-format.html">
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A Little Bit More on Format
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</a>
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</li>
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<li class="chapter " data-level="3.1.2.14" data-path="1-02-14-pathnames.html">
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<a href="1-02-14-pathnames.html">
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Pathnames
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</a>
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</li>
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<li class="chapter " data-level="3.1.2.15" data-path="1-02-15-streams.html">
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<a href="1-02-15-streams.html">
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Streams
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</a>
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</li>
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<li class="chapter " data-level="3.1.2.16" data-path="1-02-16-file-streams.html">
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<a href="1-02-16-file-streams.html">
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File Streams
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</a>
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</li>
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<li class="chapter " data-level="3.1.2.17" data-path="1-02-17-binary-streams.html">
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<a href="1-02-17-binary-streams.html">
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Binary Streams
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</a>
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</li>
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<li class="chapter " data-level="3.1.2.18" data-path="1-02-18-prompting-users.html">
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<a href="1-02-18-prompting-users.html">
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Prompting Users
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</a>
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</li>
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<li class="chapter " data-level="3.1.2.19" data-path="1-02-19-pretty-printing.html">
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<a href="1-02-19-pretty-printing.html">
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Pretty-Printing
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</a>
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</li>
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</ul>
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</li>
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<li class="chapter " data-level="3.1.3" data-path="1-03-0-getting-input-from-users.html">
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<a href="1-03-0-getting-input-from-users.html">
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Extra Credit: Getting Input from Users
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</a>
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</li>
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<li class="chapter " data-level="3.1.4" data-path="1-04-0-lists.html">
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<a href="1-04-0-lists.html">
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Lists and List-Operations
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</a>
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</li>
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<li class="chapter " data-level="3.1.5" data-path="1-05-0-lookups-trees.html">
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<a href="1-05-0-lookups-trees.html">
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Extra Credit: Look-up Lists and Trees
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</a>
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</li>
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<li class="chapter " data-level="3.1.6" data-path="1-06-0-math.html">
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<a href="1-06-0-math.html">
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Numbers and Math
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</a>
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<ul class="articles">
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<li class="chapter " data-level="3.1.6.1" data-path="1-06-01-integers.html">
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<a href="1-06-01-integers.html">
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Integers
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</a>
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</li>
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<li class="chapter " data-level="3.1.6.2" data-path="1-06-02-more-integers.html">
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<a href="1-06-02-more-integers.html">
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More Integers
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</a>
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</li>
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<li class="chapter " data-level="3.1.6.3" data-path="1-06-03-hexadecimal-notation.html">
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<a href="1-06-03-hexadecimal-notation.html">
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Hexadecimal Integer Notation
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</a>
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</li>
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<li class="chapter " data-level="3.1.6.4" data-path="1-06-04-octal-notation.html">
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<a href="1-06-04-octal-notation.html">
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Octal Integer Notation
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</a>
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</li>
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<li class="chapter " data-level="3.1.6.5" data-path="1-06-05-binary-notation.html">
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<a href="1-06-05-binary-notation.html">
|
|
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|
|
Binary Integer Notation
|
|
|
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</a>
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</li>
|
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<li class="chapter " data-level="3.1.6.6" data-path="1-06-06-ratios.html">
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|
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|
<a href="1-06-06-ratios.html">
|
|
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|
|
|
Ratios and Rational Numbers
|
|
|
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</a>
|
|
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|
|
|
|
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</li>
|
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|
<li class="chapter " data-level="3.1.6.7" data-path="1-06-07-floating-point.html">
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|
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<a href="1-06-07-floating-point.html">
|
|
|
|
|
|
Floating-point Numbers
|
|
|
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</a>
|
|
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|
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|
|
</li>
|
|
|
|
<li class="chapter " data-level="3.1.6.8" data-path="1-06-08-constants.html">
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<a href="1-06-08-constants.html">
|
|
|
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|
|
Numeric Constants
|
|
|
|
</a>
|
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|
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|
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</li>
|
|
|
|
<li class="chapter " data-level="3.1.6.9" data-path="1-06-09-complex-numbers.html">
|
|
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<a href="1-06-09-complex-numbers.html">
|
|
|
|
|
|
Complex Numbers
|
|
|
|
</a>
|
|
|
|
|
|
|
|
</li>
|
|
|
|
<li class="chapter " data-level="3.1.6.10" data-path="1-06-10-arithmetic.html">
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|
|
<a href="1-06-10-arithmetic.html">
|
|
|
|
|
|
Arithmetic
|
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|
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</a>
|
|
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|
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</li>
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|
|
<li class="chapter " data-level="3.1.6.11" data-path="1-06-11-more-arithmetic.html">
|
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|
<a href="1-06-11-more-arithmetic.html">
|
|
|
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|
|
More Arithmetic
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|
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</a>
|
|
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|
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</li>
|
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|
|
<li class="chapter " data-level="3.1.6.12" data-path="1-06-12-even-more-arithmetic.html">
|
|
|
|
<a href="1-06-12-even-more-arithmetic.html">
|
|
|
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|
|
Even More Arithmetic
|
|
|
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</a>
|
|
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|
|
|
|
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</li>
|
|
|
|
<li class="chapter " data-level="3.1.6.13" data-path="1-06-13-exponents.html">
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|
<a href="1-06-13-exponents.html">
|
|
|
|
|
|
Exponents
|
|
|
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</a>
|
|
|
|
|
|
|
|
</li>
|
|
|
|
<li class="chapter " data-level="3.1.6.14" data-path="1-06-14-logarithms.html">
|
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|
<a href="1-06-14-logarithms.html">
|
|
|
|
|
|
Logarithms
|
|
|
|
</a>
|
|
|
|
|
|
|
|
</li>
|
|
|
|
<li class="chapter " data-level="3.1.6.15" data-path="1-06-15-trigonometry.html">
|
|
|
|
<a href="1-06-15-trigonometry.html">
|
|
|
|
|
|
Trigonometry
|
|
|
|
</a>
|
|
|
|
|
|
|
|
</li>
|
|
|
|
<li class="chapter " data-level="3.1.6.16" data-path="1-06-16-psuedorandom-numbers.html">
|
|
|
|
<a href="1-06-16-psuedorandom-numbers.html">
|
|
|
|
|
|
Pseudo-Random Numbers
|
|
|
|
</a>
|
|
|
|
|
|
|
|
</li>
|
|
|
|
|
|
</ul>
|
|
|
|
</li>
|
|
|
|
<li class="chapter " data-level="3.1.7" data-path="1-07-0-arrays.html">
|
|
|
|
<a href="1-07-0-arrays.html">
|
|
|
|
|
|
Extra Credit: Arrays and Vectors
|
|
|
|
</a>
|
|
|
|
|
|
|
|
</li>
|
|
|
|
<li class="chapter " data-level="3.1.8" data-path="1-08-0-variables.html">
|
|
|
|
<a href="1-08-0-variables.html">
|
|
|
|
|
|
Variables, Parameters, and Constants
|
|
|
|
</a>
|
|
|
|
|
|
|
|
</li>
|
|
|
|
<li class="chapter " data-level="3.1.9" data-path="1-09-0-closures.html">
|
|
|
|
<a href="1-09-0-closures.html">
|
|
|
|
|
|
Extra Credit: Closures
|
|
|
|
</a>
|
|
|
|
|
|
|
|
</li>
|
|
|
|
<li class="chapter " data-level="3.1.10" data-path="1-10-0-functions.html">
|
|
|
|
<a href="1-10-0-functions.html">
|
|
|
|
|
|
Functions and Macros
|
|
|
|
</a>
|
|
|
|
|
|
|
|
</li>
|
|
|
|
<li class="chapter " data-level="3.1.11" data-path="1-11-0-text-adventure.html">
|
|
|
|
<a href="1-11-0-text-adventure.html">
|
|
|
|
|
|
Extra Credit: A Simple Text Adventure
|
|
|
|
</a>
|
|
|
|
|
|
|
|
</li>
|
|
|
|
<li class="chapter " data-level="3.1.12" data-path="1-12-0-namespaces.html">
|
|
|
|
<a href="1-12-0-namespaces.html">
|
|
|
|
|
|
Namespaces, Symbols, Packages, and Systems
|
|
|
|
</a>
|
|
|
|
|
|
|
|
</li>
|
|
|
|
<li class="chapter " data-level="3.1.13" data-path="1-13-0-simple-web-app.html">
|
|
|
|
<a href="1-13-0-simple-web-app.html">
|
|
|
|
|
|
Extra Credit: A Simple Web Application
|
|
|
|
</a>
|
|
|
|
|
|
|
|
</li>
|
|
|
|
<li class="chapter " data-level="3.1.14" data-path="1-14-0-conditionals.html">
|
|
|
|
<a href="1-14-0-conditionals.html">
|
|
|
|
|
|
Conditionals
|
|
|
|
</a>
|
|
|
|
|
|
|
|
</li>
|
|
|
|
<li class="chapter " data-level="3.1.15" data-path="1-15-0-command-line-utility.html">
|
|
|
|
<a href="1-15-0-command-line-utility.html">
|
|
|
|
|
|
Extra Credit: Command-Line Utilities
|
|
|
|
</a>
|
|
|
|
|
|
|
|
</li>
|
|
|
|
<li class="chapter " data-level="3.1.16" data-path="1-16-0-map-loop.html">
|
|
|
|
<a href="1-16-0-map-loop.html">
|
|
|
|
|
|
Mapping and Looping
|
|
|
|
</a>
|
|
|
|
|
|
|
|
</li>
|
|
|
|
<li class="chapter " data-level="3.1.17" data-path="1-17-0-iterate.html">
|
|
|
|
<a href="1-17-0-iterate.html">
|
|
|
|
|
|
Extra Credit: Revisiting Loops with Iterate
|
|
|
|
</a>
|
|
|
|
|
|
|
|
</li>
|
|
|
|
<li class="chapter " data-level="3.1.18" data-path="1-18-0-format.html">
|
|
|
|
<a href="1-18-0-format.html">
|
|
|
|
|
|
Format Strings
|
|
|
|
</a>
|
|
|
|
|
|
|
|
</li>
|
|
|
|
<li class="chapter " data-level="3.1.19" data-path="1-19-0-dsl.html">
|
|
|
|
<a href="1-19-0-dsl.html">
|
|
|
|
|
|
Extra Credit: Domain Specific Languages
|
|
|
|
</a>
|
|
|
|
|
|
|
|
</li>
|
|
|
|
<li class="chapter " data-level="3.1.20" data-path="1-20-0-review.html">
|
|
|
|
<a href="1-20-0-review.html">
|
|
|
|
|
|
Part One in Review
|
|
|
|
</a>
|
|
|
|
|
|
|
|
</li>
|
|
|
|
|
|
</ul>
|
|
|
|
</li>
|
|
|
|
|
|
|
|
|
|
<li class="header">PART TWO</li>
|
|
|
|
|
|
|
|
<li class="chapter " data-level="4.1" data-path="2-0-0-overview.html">
|
|
|
|
<a href="2-0-0-overview.html">
|
|
|
|
|
|
The Suffusion of Blue
|
|
|
|
</a>
|
|
|
|
|
|
|
|
<ul class="articles">
|
|
|
|
|
|
<li class="chapter " data-level="4.1.1" data-path="2-01-0-programming-paradigms.html">
|
|
|
|
<a href="2-01-0-programming-paradigms.html">
|
|
|
|
|
|
Programming Paradigms
|
|
|
|
</a>
|
|
|
|
|
|
|
|
</li>
|
|
|
|
<li class="chapter " data-level="4.1.2" data-path="2-02-0-regex.html">
|
|
|
|
<a href="2-02-0-regex.html">
|
|
|
|
|
|
Extra Credit: Regular Expressions
|
|
|
|
</a>
|
|
|
|
|
|
|
|
</li>
|
|
|
|
<li class="chapter " data-level="4.1.3" data-path="2-03-0-objects-control.html">
|
|
|
|
<a href="2-03-0-objects-control.html">
|
|
|
|
|
|
Objects and Control Structures
|
|
|
|
</a>
|
|
|
|
|
|
|
|
</li>
|
|
|
|
<li class="chapter " data-level="4.1.4" data-path="2-04-0-data-persistence.html">
|
|
|
|
<a href="2-04-0-data-persistence.html">
|
|
|
|
|
|
Extra Credit: Persistence and Databases
|
|
|
|
</a>
|
|
|
|
|
|
|
|
</li>
|
|
|
|
<li class="chapter " data-level="4.1.5" data-path="2-05-0-extended-types.html">
|
|
|
|
<a href="2-05-0-extended-types.html">
|
|
|
|
|
|
Extended Types
|
|
|
|
</a>
|
|
|
|
|
|
|
|
</li>
|
|
|
|
<li class="chapter " data-level="4.1.6" data-path="2-06-0-threads-memos-parallel.html">
|
|
|
|
<a href="2-06-0-threads-memos-parallel.html">
|
|
|
|
|
|
Extra Credit: Concurrency and Memoization
|
|
|
|
</a>
|
|
|
|
|
|
|
|
</li>
|
|
|
|
<li class="chapter " data-level="4.1.7" data-path="2-07-0-logic-and-more-math.html">
|
|
|
|
<a href="2-07-0-logic-and-more-math.html">
|
|
|
|
|
|
Logic and Advanced Math
|
|
|
|
</a>
|
|
|
|
|
|
|
|
</li>
|
|
|
|
<li class="chapter " data-level="4.1.8" data-path="2-08-0-number-theory.html">
|
|
|
|
<a href="2-08-0-number-theory.html">
|
|
|
|
|
|
Extra Credit: Number Theory
|
|
|
|
</a>
|
|
|
|
|
|
|
|
</li>
|
|
|
|
<li class="chapter " data-level="4.1.9" data-path="2-09-0-binary-octets-bits.html">
|
|
|
|
<a href="2-09-0-binary-octets-bits.html">
|
|
|
|
|
|
Binary Streams, Octet-Vectors, and Bit-Vectors
|
|
|
|
</a>
|
|
|
|
|
|
|
|
</li>
|
|
|
|
<li class="chapter " data-level="4.1.10" data-path="2-10-0-improved-text-adventure-engine.html">
|
|
|
|
<a href="2-10-0-improved-text-adventure-engine.html">
|
|
|
|
|
|
Extra Credit: An Improved Text Adventure Engine
|
|
|
|
</a>
|
|
|
|
|
|
|
|
</li>
|
|
|
|
<li class="chapter " data-level="4.1.11" data-path="2-11-0-conditions.html">
|
|
|
|
<a href="2-11-0-conditions.html">
|
|
|
|
|
|
Conditions and Error Handling
|
|
|
|
</a>
|
|
|
|
|
|
|
|
</li>
|
|
|
|
<li class="chapter " data-level="4.1.12" data-path="2-12-0-2d-game.html">
|
|
|
|
<a href="2-12-0-2d-game.html">
|
|
|
|
|
|
Extra Credit: Write a 2D Game
|
|
|
|
</a>
|
|
|
|
|
|
|
|
</li>
|
|
|
|
<li class="chapter " data-level="4.1.13" data-path="2-13-0-compiler.html">
|
|
|
|
<a href="2-13-0-compiler.html">
|
|
|
|
|
|
The Compiler
|
|
|
|
</a>
|
|
|
|
|
|
|
|
</li>
|
|
|
|
<li class="chapter " data-level="4.1.14" data-path="2-14-0-tree-shaker.html">
|
|
|
|
<a href="2-14-0-tree-shaker.html">
|
|
|
|
|
|
Extra Credit: Write a Tree-Shaker
|
|
|
|
</a>
|
|
|
|
|
|
|
|
</li>
|
|
|
|
<li class="chapter " data-level="4.1.15" data-path="2-15-0-docs-and-inspection.html">
|
|
|
|
<a href="2-15-0-docs-and-inspection.html">
|
|
|
|
|
|
Documentation and Inspection
|
|
|
|
</a>
|
|
|
|
|
|
|
|
</li>
|
|
|
|
<li class="chapter " data-level="4.1.16" data-path="2-16-0-foreign-libs.html">
|
|
|
|
<a href="2-16-0-foreign-libs.html">
|
|
|
|
|
|
Extra Credit: Foreign Libraries in Lisp
|
|
|
|
</a>
|
|
|
|
|
|
|
|
</li>
|
|
|
|
<li class="chapter " data-level="4.1.17" data-path="2-17-0-debugging-testing.html">
|
|
|
|
<a href="2-17-0-debugging-testing.html">
|
|
|
|
|
|
Debugging and Unit Testing
|
|
|
|
</a>
|
|
|
|
|
|
|
|
</li>
|
|
|
|
<li class="chapter " data-level="4.1.18" data-path="2-18-0-ffi.html">
|
|
|
|
<a href="2-18-0-ffi.html">
|
|
|
|
|
|
Extra Credit: Write a Foreign Function Interface
|
|
|
|
</a>
|
|
|
|
|
|
|
|
</li>
|
|
|
|
<li class="chapter " data-level="4.1.19" data-path="2-19-0-essential-libs.html">
|
|
|
|
<a href="2-19-0-essential-libs.html">
|
|
|
|
|
|
Essential Lisp Libraries
|
|
|
|
</a>
|
|
|
|
|
|
|
|
</li>
|
|
|
|
<li class="chapter " data-level="4.1.20" data-path="2-20-0-packaging-libs.html">
|
|
|
|
<a href="2-20-0-packaging-libs.html">
|
|
|
|
|
|
Extra Credit: Packaging Lisp Libraries
|
|
|
|
</a>
|
|
|
|
|
|
|
|
</li>
|
|
|
|
<li class="chapter " data-level="4.1.21" data-path="2-21-0-review.html">
|
|
|
|
<a href="2-21-0-review.html">
|
|
|
|
|
|
Detailed Syntax Review
|
|
|
|
</a>
|
|
|
|
|
|
|
|
</li>
|
|
|
|
|
|
</ul>
|
|
|
|
</li>
|
|
|
|
|
|
|
|
|
|
<li class="header">PART THREE</li>
|
|
|
|
|
|
|
|
<li class="chapter " data-level="5.1" data-path="3-00-00-overview.html">
|
|
|
|
<a href="3-00-00-overview.html">
|
|
|
|
|
|
Lisp So(u)rcery
|
|
|
|
</a>
|
|
|
|
|
|
|
|
<ul class="articles">
|
|
|
|
|
|
<li class="chapter " data-level="5.1.1" data-path="3-01-00-web-apps.html">
|
|
|
|
<a href="3-01-00-web-apps.html">
|
|
|
|
|
|
Real-world Web Apps
|
|
|
|
</a>
|
|
|
|
|
|
|
|
</li>
|
|
|
|
<li class="chapter " data-level="5.1.2" data-path="3-02-00-typesetting.html">
|
|
|
|
<a href="3-02-00-typesetting.html">
|
|
|
|
|
|
Typesetting
|
|
|
|
</a>
|
|
|
|
|
|
|
|
</li>
|
|
|
|
<li class="chapter " data-level="5.1.3" data-path="3-03-00-mobile.html">
|
|
|
|
<a href="3-03-00-mobile.html">
|
|
|
|
|
|
Native Mobile Applications
|
|
|
|
</a>
|
|
|
|
|
|
|
|
</li>
|
|
|
|
<li class="chapter " data-level="5.1.4" data-path="3-04-00-gui.html">
|
|
|
|
<a href="3-04-00-gui.html">
|
|
|
|
|
|
Cross-platform Desktop Applications
|
|
|
|
</a>
|
|
|
|
|
|
|
|
</li>
|
|
|
|
<li class="chapter " data-level="5.1.5" data-path="3-05-00-system-utils.html">
|
|
|
|
<a href="3-05-00-system-utils.html">
|
|
|
|
|
|
Drivers, Daemons, and System-Utilities
|
|
|
|
</a>
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<h1>
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<a href="index.html" >Scientific Computing</a>
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<section class="normal markdown-section">
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<h1 id="chapter-313">Chapter 3.13</h1>
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<h2 id="scientific-computing">Scientific Computing</h2>
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<blockquote>
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<p>"In this complex world, science, the scientific method, and the consequences of the scientific method are central to everything the human race is doing and to wherever we are going."</p>
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<footer>Robert A. Heinlein, <em>The Pragmatics of Patriotism</em></footer>
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</blockquote>
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<p>Scientific computing, also known as Computational Science, is now considered a third mode of science in addition to the traditional two modes of observation/experimentation and theory, and is thus an essential basic skill for researchers of every scientific field. Typically, computational scientists favour R, Mathematica, MATLAB, Python's SciPy and PDL libraries, C, or Fortran to implement highly optimized numerical simulations; but Common Lisp has significant advantages over all these technologies for implementing robust, optimized, distributed algorithms for modelling scientific problems, running simulations, and further optimizing scenarios.</p>
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<p>At the most basic level, computational science requires featureful and fast algebra and plotting libraries; but advanced use-cases and computationally expensive simulations require massive concurrency, and resource intensive floating-point calculations. Using LParallel, CL-GPU, GSLL, CL-PLPlot, and the optimization techniques you've already learned, you can beat the performance of other platforms and technologies, and take advantage of all of Common Lisp's other intrinsic features, such as interactive programming at the REPL, for rapid prototyping of solutions to many of the most important problems in computational science.</p>
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<p>In this chapter we will review the Lisp syntax of the math necessary to model problems in computational science, translate a selection of problems in computational science from pseudo-code to Common Lisp, work heavily from the REPL to model systems interactively in real-time, graph and plot our results, and run exhaustive tests and benchmarks against other platforms as part of the optimization process, to prove to yourself and others that Common Lisp is the ideal platform for Scientific Computing.</p>
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<h3 id="exercise-3131">Exercise 3.13.1</h3>
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<p><strong>The Math of Scientific Computing</strong></p>
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<pre><code class="lang-lisp">
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<h3 id="exercise-3132">Exercise 3.13.2</h3>
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<p><strong>GSLL</strong></p>
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<h3 id="exercise-3133">Exercise 3.13.3</h3>
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<p><strong>Leveraging Massive Concurrency</strong></p>
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<h3 id="exercise-3134">Exercise 3.13.4</h3>
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<p><strong>Floating-Point Calculations using CL-GPU</strong></p>
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<pre><code class="lang-lisp">
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</code></pre>
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<h3 id="exercise-3135">Exercise 3.13.5</h3>
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<p><strong>Plotting Your Results</strong></p>
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<pre><code class="lang-lisp">
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</code></pre>
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<h3 id="exercise-3136">Exercise 3.13.6</h3>
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<p><strong>Performance Testing and Optimization</strong></p>
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<pre><code class="lang-lisp">
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</code></pre>
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<h3 id="exercise-3137">Exercise 3.13.7</h3>
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<p><strong>Proofing Results</strong></p>
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</code></pre>
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<h3 id="project-3138">Project 3.13.8</h3>
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<p><strong>A Scientific Computing Application</strong></p>
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<pre><code class="lang-lisp">
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