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      <header>
        <h1 class="title">Mort’s small traces</h1>
        <address class="author">Mort Yao</address>
        <!-- h3 class="date">2017-03-31</h3 -->
      </header>
      <nav id="TOC">
<ul>
<li><a href="#mathematics"><span class="toc-section-number">1</span> Mathematics</a></li>
<li><a href="#applied-mathematics"><span class="toc-section-number">2</span> Applied Mathematics</a></li>
<li><a href="#physics-and-life-sciences"><span class="toc-section-number">3</span> Physics and Life Sciences</a></li>
<li><a href="#software-technology"><span class="toc-section-number">4</span> Software Technology</a></li>
</ul>
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<figure>
<img src="https://i0.wp.com/dl.dropboxusercontent.com/s/1tzl7x5iduxgr9m/perky-lambda_96.png" alt=" A lifelong project to do my study notes on Math / Computer Science systematically and spirally. It is still woefully incomplete, but it shouldn’t always be. I keep learning things. " /><figcaption><small> A lifelong project to do my study notes on Math / Computer Science systematically and spirally.<br />
It is still woefully incomplete, but it shouldn’t always be. I keep learning things. </small></figcaption>
</figure>
<hr />
<div style="text-align:center;font-style:italic">
<p>“Tiger got to hunt, bird got to fly; <br> Man got to sit and wonder ‘why, why, why?’ <br> Tiger got to sleep, bird got to land; <br> Man got to tell himself he understand.” <br> — Kurt Vonnegut</p>
</div>
<ul>
<li><p><a href="/rosetta/">Common mathematical notation</a></p></li>
<li><a href="/philosophy/">Philosophy</a>
<ul>
<li><a href="/philosophy/logic/">Logic</a></li>
<li><a href="/philosophy/epistemology/">Epistemology</a></li>
</ul></li>
</ul>
<section id="mathematics" class="level1">
<h1><span class="header-section-number">1</span> Mathematics</h1>
<ul>
<li><a href="/math/set/">Naive set theory</a></li>
<li><strong><a href="/math/logic/">Mathematical logic</a></strong></li>
<li>Linear algebra
<ul>
<li>Matrix theory</li>
</ul></li>
<li>Abstract algebra
<ul>
<li>Group theory</li>
<li>Representation theory</li>
<li>Category theory and homological algebra</li>
</ul></li>
<li>Topology and geometry
<ul>
<li>General topology (point-set topology)</li>
<li>Geometric topology</li>
<li>Algebraic topology and geometry</li>
<li>Differential topology and geometry</li>
<li>Lie group</li>
</ul></li>
<li>Calculus
<ul>
<li><a href="/math/calculus/limit/">Limit</a> and continuity</li>
<li>Differentiation</li>
<li>Integration</li>
<li>Series</li>
<li>Special functions</li>
<li>Vector calculus and tensor calculus</li>
<li>Calculus of variations</li>
</ul></li>
<li>Analysis
<ul>
<li>Measure theory</li>
<li>Complex analysis</li>
<li>Real analysis</li>
<li>Functional analysis</li>
<li>Harmonic analysis</li>
</ul></li>
<li>Differential equations and dynamical systems theory
<ul>
<li><a href="/math/dynamical-systems/ergodic/">Ergodic theory</a></li>
<li>Control theory</li>
<li>Chaos and fractals</li>
</ul></li>
<li>Number theory
<ul>
<li>Algebraic number theory</li>
<li>Analytic number theory</li>
</ul></li>
<li>Combinatorics
<ul>
<li>Arithmetic combinatorics</li>
<li>Graph theory and knot theory</li>
<li>Algebraic graph theory</li>
</ul></li>
</ul>
</section>
<section id="applied-mathematics" class="level1">
<h1><span class="header-section-number">2</span> Applied Mathematics</h1>
<ul>
<li><a href="/math/probability/">Probability theory</a> and <a href="/math/statistics/">statistics</a>
<ul>
<li>Stochastic process and martingale</li>
<li>Advanced probability theory</li>
</ul></li>
<li><a href="/info/">Information theory</a>
<ul>
<li>Coding theory</li>
<li>Algorithmic information theory</li>
<li>Quantum information theory</li>
</ul></li>
<li><strong><a href="/comp/">Theory of Computation</a></strong>
<ul>
<li>Formal languages and automata theory</li>
<li>Computability theory</li>
<li>Complexity theory</li>
</ul></li>
<li><strong><a href="/algo/">Algorithms</a></strong>
<ul>
<li>Data structures</li>
<li>Sorting</li>
<li>Searching</li>
<li><a href="/algo/randomization/">Randomization</a></li>
<li><a href="/algo/approximation/">Approximation</a></li>
<li>Numerical analysis</li>
<li>Computational number theory</li>
<li><a href="/algo/computational-geometry/">Computational geometry</a></li>
<li>Computer graphics and visualization</li>
</ul></li>
<li><strong><a href="/crypto/">Cryptography</a></strong>
<ul>
<li>Information-theoretic security</li>
<li>Private-key cryptography</li>
<li>Public-key cryptography</li>
<li>Quantum cryptography</li>
</ul></li>
<li>Game theory and operations research
<ul>
<li>Linear programming and mathematical optimization</li>
<li>Evolutionary computation</li>
<li>Algorithmic game theory</li>
<li>Finance and financial markets</li>
</ul></li>
<li><strong><a href="/ml/">Machine learning</a></strong>
<ul>
<li>Neural networks and deep learning</li>
</ul></li>
<li><strong><a href="/cv/">Computer vision and image processing</a></strong></li>
<li>Natural language processing</li>
<li><strong><a href="/plt/">Programming language theory</a></strong>
<ul>
<li><a href="/plt/semantics/">Formal semantics</a></li>
<li><a href="/plt/types/">Type theory</a></li>
<li><a href="/plt/pat/">Program analysis and transformation</a></li>
</ul></li>
</ul>
</section>
<section id="physics-and-life-sciences" class="level1">
<h1><span class="header-section-number">3</span> Physics and Life Sciences</h1>
<ul>
<li>Statistical mechanics</li>
<li>Classical mechanics, electromagnetism and field theory</li>
<li>Quantum mechanics and quantum field theory</li>
<li>Electronics and signal processing
<ul>
<li>Formal verification and temporal logic</li>
</ul></li>
<li>Genetics, genomics and bioinformatics</li>
<li>Structural biology (biochemistry, biophysics and molecular biology)</li>
<li>Computational systems biology</li>
</ul>
</section>
<section id="software-technology" class="level1">
<h1><span class="header-section-number">4</span> Software Technology</h1>
<ul>
<li>Computer systems and architectures</li>
<li>Operating systems
<ul>
<li><a href="/unix/">Unix from user space</a></li>
<li>System programming</li>
<li>Linux kernel</li>
</ul></li>
<li>TCP/IP
<ul>
<li>Internet protocol suite</li>
<li>Socket programming</li>
</ul></li>
<li>Web and databases
<ul>
<li>Relational database and normalization</li>
<li>NoSQL</li>
<li>Knowledge representation and Semantic Web</li>
</ul></li>
<li>Programming paradigms
<ul>
<li>Logic programming</li>
<li>Functional programming</li>
<li>Imperative programming</li>
<li>Dataflow programming and concurrent programming</li>
<li>Object-oriented programming</li>
</ul></li>
<li>Compilers</li>
<li><strong>Information security</strong>
<ul>
<li>Proof-carrying code</li>
<li>Cryptocurrencies and blockchains</li>
</ul></li>
</ul>
<hr />
<ul>
<li><a href="/todo/">Reading list</a></li>
</ul>
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</figure>
</section>
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