1890 lines
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1890 lines
48 KiB
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<!DOCTYPE HTML>
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<meta charset="UTF-8">
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<title>Computational Physics · Learn Lisp The Hard Way</title>
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<meta name="generator" content="GitBook 3.2.3">
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<meta name="author" content=""the Phoeron" Colin J.E. Lupton">
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<li class="header">LEARN LISP THE HARD WAY</li>
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Second Draft (in-progress)
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<a href="CHANGELOG.html">
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CHANGELOG
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<a href="TODO.html">
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TODO
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<li class="header">PREFACE</li>
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<li class="chapter " data-level="2.1" data-path="preface.html">
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<a href="preface.html">
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TANSTAAFL
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</a>
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</li>
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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>
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<li class="chapter " data-level="2.3" data-path="preface-part-three.html">
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<a href="preface-part-three.html">
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Who Is This Book For?
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</a>
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</li>
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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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||
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|
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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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||
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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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||
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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">
|
||
|
|
||
|
<a href="1-02-17-binary-streams.html">
|
||
|
|
||
|
|
||
|
Binary Streams
|
||
|
|
||
|
</a>
|
||
|
|
||
|
|
||
|
|
||
|
</li>
|
||
|
|
||
|
<li class="chapter " data-level="3.1.2.18" data-path="1-02-18-prompting-users.html">
|
||
|
|
||
|
<a href="1-02-18-prompting-users.html">
|
||
|
|
||
|
|
||
|
Prompting Users
|
||
|
|
||
|
</a>
|
||
|
|
||
|
|
||
|
|
||
|
</li>
|
||
|
|
||
|
<li class="chapter " data-level="3.1.2.19" data-path="1-02-19-pretty-printing.html">
|
||
|
|
||
|
<a href="1-02-19-pretty-printing.html">
|
||
|
|
||
|
|
||
|
Pretty-Printing
|
||
|
|
||
|
</a>
|
||
|
|
||
|
|
||
|
|
||
|
</li>
|
||
|
|
||
|
|
||
|
</ul>
|
||
|
|
||
|
</li>
|
||
|
|
||
|
<li class="chapter " data-level="3.1.3" data-path="1-03-0-getting-input-from-users.html">
|
||
|
|
||
|
<a href="1-03-0-getting-input-from-users.html">
|
||
|
|
||
|
|
||
|
Extra Credit: Getting Input from Users
|
||
|
|
||
|
</a>
|
||
|
|
||
|
|
||
|
|
||
|
</li>
|
||
|
|
||
|
<li class="chapter " data-level="3.1.4" data-path="1-04-0-lists.html">
|
||
|
|
||
|
<a href="1-04-0-lists.html">
|
||
|
|
||
|
|
||
|
Lists and List-Operations
|
||
|
|
||
|
</a>
|
||
|
|
||
|
|
||
|
|
||
|
</li>
|
||
|
|
||
|
<li class="chapter " data-level="3.1.5" data-path="1-05-0-lookups-trees.html">
|
||
|
|
||
|
<a href="1-05-0-lookups-trees.html">
|
||
|
|
||
|
|
||
|
Extra Credit: Look-up Lists and Trees
|
||
|
|
||
|
</a>
|
||
|
|
||
|
|
||
|
|
||
|
</li>
|
||
|
|
||
|
<li class="chapter " data-level="3.1.6" data-path="1-06-0-math.html">
|
||
|
|
||
|
<a href="1-06-0-math.html">
|
||
|
|
||
|
|
||
|
Numbers and Math
|
||
|
|
||
|
</a>
|
||
|
|
||
|
|
||
|
|
||
|
<ul class="articles">
|
||
|
|
||
|
|
||
|
<li class="chapter " data-level="3.1.6.1" data-path="1-06-01-integers.html">
|
||
|
|
||
|
<a href="1-06-01-integers.html">
|
||
|
|
||
|
|
||
|
Integers
|
||
|
|
||
|
</a>
|
||
|
|
||
|
|
||
|
|
||
|
</li>
|
||
|
|
||
|
<li class="chapter " data-level="3.1.6.2" data-path="1-06-02-more-integers.html">
|
||
|
|
||
|
<a href="1-06-02-more-integers.html">
|
||
|
|
||
|
|
||
|
More Integers
|
||
|
|
||
|
</a>
|
||
|
|
||
|
|
||
|
|
||
|
</li>
|
||
|
|
||
|
<li class="chapter " data-level="3.1.6.3" data-path="1-06-03-hexadecimal-notation.html">
|
||
|
|
||
|
<a href="1-06-03-hexadecimal-notation.html">
|
||
|
|
||
|
|
||
|
Hexadecimal Integer Notation
|
||
|
|
||
|
</a>
|
||
|
|
||
|
|
||
|
|
||
|
</li>
|
||
|
|
||
|
<li class="chapter " data-level="3.1.6.4" data-path="1-06-04-octal-notation.html">
|
||
|
|
||
|
<a href="1-06-04-octal-notation.html">
|
||
|
|
||
|
|
||
|
Octal Integer Notation
|
||
|
|
||
|
</a>
|
||
|
|
||
|
|
||
|
|
||
|
</li>
|
||
|
|
||
|
<li class="chapter " data-level="3.1.6.5" data-path="1-06-05-binary-notation.html">
|
||
|
|
||
|
<a href="1-06-05-binary-notation.html">
|
||
|
|
||
|
|
||
|
Binary Integer Notation
|
||
|
|
||
|
</a>
|
||
|
|
||
|
|
||
|
|
||
|
</li>
|
||
|
|
||
|
<li class="chapter " data-level="3.1.6.6" data-path="1-06-06-ratios.html">
|
||
|
|
||
|
<a href="1-06-06-ratios.html">
|
||
|
|
||
|
|
||
|
Ratios and Rational Numbers
|
||
|
|
||
|
</a>
|
||
|
|
||
|
|
||
|
|
||
|
</li>
|
||
|
|
||
|
<li class="chapter " data-level="3.1.6.7" data-path="1-06-07-floating-point.html">
|
||
|
|
||
|
<a href="1-06-07-floating-point.html">
|
||
|
|
||
|
|
||
|
Floating-point Numbers
|
||
|
|
||
|
</a>
|
||
|
|
||
|
|
||
|
|
||
|
</li>
|
||
|
|
||
|
<li class="chapter " data-level="3.1.6.8" data-path="1-06-08-constants.html">
|
||
|
|
||
|
<a href="1-06-08-constants.html">
|
||
|
|
||
|
|
||
|
Numeric Constants
|
||
|
|
||
|
</a>
|
||
|
|
||
|
|
||
|
|
||
|
</li>
|
||
|
|
||
|
<li class="chapter " data-level="3.1.6.9" data-path="1-06-09-complex-numbers.html">
|
||
|
|
||
|
<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">
|
||
|
|
||
|
<a href="1-06-10-arithmetic.html">
|
||
|
|
||
|
|
||
|
Arithmetic
|
||
|
|
||
|
</a>
|
||
|
|
||
|
|
||
|
|
||
|
</li>
|
||
|
|
||
|
<li class="chapter " data-level="3.1.6.11" data-path="1-06-11-more-arithmetic.html">
|
||
|
|
||
|
<a href="1-06-11-more-arithmetic.html">
|
||
|
|
||
|
|
||
|
More Arithmetic
|
||
|
|
||
|
</a>
|
||
|
|
||
|
|
||
|
|
||
|
</li>
|
||
|
|
||
|
<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">
|
||
|
|
||
|
|
||
|
Even More Arithmetic
|
||
|
|
||
|
</a>
|
||
|
|
||
|
|
||
|
|
||
|
</li>
|
||
|
|
||
|
<li class="chapter " data-level="3.1.6.13" data-path="1-06-13-exponents.html">
|
||
|
|
||
|
<a href="1-06-13-exponents.html">
|
||
|
|
||
|
|
||
|
Exponents
|
||
|
|
||
|
</a>
|
||
|
|
||
|
|
||
|
|
||
|
</li>
|
||
|
|
||
|
<li class="chapter " data-level="3.1.6.14" data-path="1-06-14-logarithms.html">
|
||
|
|
||
|
<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>
|
||
|
|
||
|
|
||
|
|
||
|
</li>
|
||
|
|
||
|
<li class="chapter " data-level="5.1.6" data-path="3-06-00-reverse-engineering.html">
|
||
|
|
||
|
<a href="3-06-00-reverse-engineering.html">
|
||
|
|
||
|
|
||
|
Reverse Engineering
|
||
|
|
||
|
</a>
|
||
|
|
||
|
|
||
|
|
||
|
</li>
|
||
|
|
||
|
<li class="chapter " data-level="5.1.7" data-path="3-07-00-graphics.html">
|
||
|
|
||
|
<a href="3-07-00-graphics.html">
|
||
|
|
||
|
|
||
|
Graphics Rendering
|
||
|
|
||
|
</a>
|
||
|
|
||
|
|
||
|
|
||
|
</li>
|
||
|
|
||
|
<li class="chapter " data-level="5.1.8" data-path="3-08-00-gaming.html">
|
||
|
|
||
|
<a href="3-08-00-gaming.html">
|
||
|
|
||
|
|
||
|
OpenGL, SDL, and 3D Game Development
|
||
|
|
||
|
</a>
|
||
|
|
||
|
|
||
|
|
||
|
</li>
|
||
|
|
||
|
<li class="chapter " data-level="5.1.9" data-path="3-09-00-audio.html">
|
||
|
|
||
|
<a href="3-09-00-audio.html">
|
||
|
|
||
|
|
||
|
Audio Generation and Manipulation
|
||
|
|
||
|
</a>
|
||
|
|
||
|
|
||
|
|
||
|
</li>
|
||
|
|
||
|
<li class="chapter " data-level="5.1.10" data-path="3-10-00-data.html">
|
||
|
|
||
|
<a href="3-10-00-data.html">
|
||
|
|
||
|
|
||
|
Data Aggregation and Analysis
|
||
|
|
||
|
</a>
|
||
|
|
||
|
|
||
|
|
||
|
</li>
|
||
|
|
||
|
<li class="chapter " data-level="5.1.11" data-path="3-11-00-cryptosec.html">
|
||
|
|
||
|
<a href="3-11-00-cryptosec.html">
|
||
|
|
||
|
|
||
|
Cryptography and Security
|
||
|
|
||
|
</a>
|
||
|
|
||
|
|
||
|
|
||
|
</li>
|
||
|
|
||
|
<li class="chapter " data-level="5.1.12" data-path="3-12-00-fintech.html">
|
||
|
|
||
|
<a href="3-12-00-fintech.html">
|
||
|
|
||
|
|
||
|
Financial Software and Crypto-Currencies
|
||
|
|
||
|
</a>
|
||
|
|
||
|
|
||
|
|
||
|
</li>
|
||
|
|
||
|
<li class="chapter " data-level="5.1.13" data-path="3-13-00-scientific-computing.html">
|
||
|
|
||
|
<a href="3-13-00-scientific-computing.html">
|
||
|
|
||
|
|
||
|
Scientific Computing
|
||
|
|
||
|
</a>
|
||
|
|
||
|
|
||
|
|
||
|
</li>
|
||
|
|
||
|
<li class="chapter active" data-level="5.1.14" data-path="3-14-00-computational-physics.html">
|
||
|
|
||
|
<a href="3-14-00-computational-physics.html">
|
||
|
|
||
|
|
||
|
Computational Physics
|
||
|
|
||
|
</a>
|
||
|
|
||
|
|
||
|
|
||
|
</li>
|
||
|
|
||
|
<li class="chapter " data-level="5.1.15" data-path="3-15-00-quantum-computing.html">
|
||
|
|
||
|
<a href="3-15-00-quantum-computing.html">
|
||
|
|
||
|
|
||
|
Quantum Computing
|
||
|
|
||
|
</a>
|
||
|
|
||
|
|
||
|
|
||
|
</li>
|
||
|
|
||
|
<li class="chapter " data-level="5.1.16" data-path="3-16-00-nlp.html">
|
||
|
|
||
|
<a href="3-16-00-nlp.html">
|
||
|
|
||
|
|
||
|
Natural Language Processing
|
||
|
|
||
|
</a>
|
||
|
|
||
|
|
||
|
|
||
|
</li>
|
||
|
|
||
|
<li class="chapter " data-level="5.1.17" data-path="3-17-00-ai.html">
|
||
|
|
||
|
<a href="3-17-00-ai.html">
|
||
|
|
||
|
|
||
|
Artificial Intelligence
|
||
|
|
||
|
</a>
|
||
|
|
||
|
|
||
|
|
||
|
</li>
|
||
|
|
||
|
<li class="chapter " data-level="5.1.18" data-path="3-18-00-robotics.html">
|
||
|
|
||
|
<a href="3-18-00-robotics.html">
|
||
|
|
||
|
|
||
|
Robotics
|
||
|
|
||
|
</a>
|
||
|
|
||
|
|
||
|
|
||
|
</li>
|
||
|
|
||
|
<li class="chapter " data-level="5.1.19" data-path="3-19-00-space-tech.html">
|
||
|
|
||
|
<a href="3-19-00-space-tech.html">
|
||
|
|
||
|
|
||
|
Space Tech
|
||
|
|
||
|
</a>
|
||
|
|
||
|
|
||
|
|
||
|
</li>
|
||
|
|
||
|
<li class="chapter " data-level="5.1.20" data-path="3-20-00-neurotech.html">
|
||
|
|
||
|
<a href="3-20-00-neurotech.html">
|
||
|
|
||
|
|
||
|
Neuroscience and Thought-Controlled Computing
|
||
|
|
||
|
</a>
|
||
|
|
||
|
|
||
|
|
||
|
</li>
|
||
|
|
||
|
<li class="chapter " data-level="5.1.21" data-path="3-21-00-lispos.html">
|
||
|
|
||
|
<a href="3-21-00-lispos.html">
|
||
|
|
||
|
|
||
|
A Simple LispOS
|
||
|
|
||
|
</a>
|
||
|
|
||
|
|
||
|
|
||
|
</li>
|
||
|
|
||
|
<li class="chapter " data-level="5.1.22" data-path="3-22-00-lisp-machine.html">
|
||
|
|
||
|
<a href="3-22-00-lisp-machine.html">
|
||
|
|
||
|
|
||
|
Build Your Own Lisp Machine
|
||
|
|
||
|
</a>
|
||
|
|
||
|
|
||
|
|
||
|
</li>
|
||
|
|
||
|
<li class="chapter " data-level="5.1.23" data-path="3-23-00-gov-mil.html">
|
||
|
|
||
|
<a href="3-23-00-gov-mil.html">
|
||
|
|
||
|
|
||
|
Government and Military Grade Systems
|
||
|
|
||
|
</a>
|
||
|
|
||
|
|
||
|
|
||
|
</li>
|
||
|
|
||
|
|
||
|
</ul>
|
||
|
|
||
|
</li>
|
||
|
|
||
|
|
||
|
|
||
|
|
||
|
<li class="divider"></li>
|
||
|
|
||
|
<li>
|
||
|
<a href="https://www.gitbook.com" target="blank" class="gitbook-link">
|
||
|
Published with GitBook
|
||
|
</a>
|
||
|
</li>
|
||
|
</ul>
|
||
|
|
||
|
|
||
|
</nav>
|
||
|
|
||
|
|
||
|
</div>
|
||
|
|
||
|
<div class="book-body">
|
||
|
|
||
|
<div class="body-inner">
|
||
|
|
||
|
|
||
|
|
||
|
<div class="book-header" role="navigation">
|
||
|
|
||
|
|
||
|
<!-- Title -->
|
||
|
<h1>
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<a href="index.html" >Computational Physics</a>
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<section class="normal markdown-section">
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<h1 id="chapter-314">Chapter 3.14</h1>
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<h2 id="computational-physics">Computational Physics</h2>
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<blockquote>
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<p>"Behind every mystery lies another mystery. Infinite recession. But you don't need to know final answers---if there be such---and neither do I."</p>
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<footer>Robert A. Heinlein, <em>Job: A Comedy of Justice</em></footer>
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<p>While Computational Science is generally useful for all scientific disciplines, as it allows scientists to refine and improve established theories and models to better match the observed data, computational science is of <em>fundamental importance</em> to Physicists, as it allows them to model underlying systems <em>which cannot yet be observed</em>; thus, the highly specialized branch of computational science dealing primarily with theoretical physics has its own name, Computational Physics, and is often treated as its own field---though obviously it inherits most of its techniques and tools from its parent.</p>
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<p>As a third modality of science, the results of computational simulations of these underlying physical systems can be used in lieu of observation and experiment to aid in the validation of various theories; and naturally, to aid in the modelling of experiments so that the more exotic phenomenon in theoretical physics can be observed, if the theories correctly predict the behaviour and nature of these systems.</p>
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<p>While modelling problems in M-Theory, Quantum Field Theory, or other novel approaches at harmonizing General Relativity with Quantum Mechanics are far beyond the scope of this book, it will be interesting to model some of the more approachable problems in physics and astrophysics to create 3D simulations using OpenGL; and write a general physics engine that is lightweight enough to be used anywhere, but accurate enough to simulate all the common physics problems that a student might face in an undergraduate Physics program.</p>
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<p>In this chapter, we will revisit the methodology from Chapters 3.12 on Scientific Computing, and 3.7 on 3D Game Development, to progressively build 3D OpenGL simulations of n-body problems, gravitational fields, relativistic systems that warp spacetime, and models of sub-atomic particle physics; and as a final exercise, we will explore Newtonian Mechanics as an emergent system of Quantum Mechanics.</p>
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<h3 id="exercise-3141">Exercise 3.14.1</h3>
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<p><strong>Common Problems in Computational Physics</strong></p>
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<pre><code class="lang-lisp">
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</code></pre>
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<h3 id="exercise-3142">Exercise 3.14.2</h3>
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<p><strong>The Ising Model</strong></p>
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<pre><code class="lang-lisp">
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</code></pre>
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<h3 id="exercise-3143">Exercise 3.14.3</h3>
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<p><strong>Simulating Physics with OpenGL</strong></p>
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<pre><code class="lang-lisp">
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</code></pre>
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<h3 id="exercise-3144">Exercise 3.14.4</h3>
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<p><strong>An n-body Problem</strong></p>
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<pre><code class="lang-lisp">
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</code></pre>
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<h3 id="exercise-3145">Exercise 3.14.5</h3>
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<p><strong>Gravitational Fields</strong></p>
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<pre><code class="lang-lisp">
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</code></pre>
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<h3 id="exercise-3146">Exercise 3.14.6</h3>
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<p><strong>Relativistic Velocities</strong></p>
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<pre><code class="lang-lisp">
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</code></pre>
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<h3 id="exercise-3147">Exercise 3.14.7</h3>
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<p><strong>Visualizing a Warped Space-Time</strong></p>
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<pre><code class="lang-lisp">
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</code></pre>
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<h3 id="exercise-3148">Exercise 3.14.8</h3>
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<p><strong>Modelling the sub-atomic world</strong></p>
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<pre><code class="lang-lisp">
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</code></pre>
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<h3 id="exercise-3149">Exercise 3.14.9</h3>
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<p><strong>Newtonian Mechanics as Emergent from Quantum Mechanics</strong></p>
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<pre><code class="lang-lisp">
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</code></pre>
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<h3 id="project-31410">Project 3.14.10</h3>
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<p><strong>Extending the Computational Science Application for Physics Simulation</strong></p>
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<pre><code class="lang-lisp">
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</code></pre>
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