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        <title>Raymond Feng</title>
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            <h1>Raymond Feng</h1>
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            <h1>Projects</h1>
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                <!--<p>Here are the various projects that I have created or been a part of:</p>-->
                <h2>Coding</h2>
                <ul>
                    <li><a href="https://github.com/rfeng2004/AsyPad" target="_blank">AsyPad</a><ul><li>A simple drawing tool that can convert diagrams into Asymptote code.</li></ul>
                    </li>
                    <li><a href="https://github.com/rfeng2004/Hearteyes" target="_blank">Custom Hearteyes Emoji Generator</a><ul><li>Customize the eye-color on Discord's default hearteyes emote!</li></ul>
                    </li>
                    <li><a href="https://github.com/rfeng2004/Survival" target="_blank">Survival</a><ul><li>A basic survival game with single and multiplayer options using JavaFX.</li></ul>
                    </li>
                    <li><a href="https://github.com/rfeng2004/PrisonersDilemma" target="_blank">Prisoner's Dilemma Simulation</a><ul><li>Simulation of the iterated prisoner's dilemma with implementations of many classic strategies.</li></ul>
                    </li>
                    <li><a href="https://github.com/rfeng2004/Minesweeper" target="_blank">Minesweeper</a><ul><li>Implementation of Minesweeper using JavaFX.</li></ul>
                </ul>
                <h2>Mock Contests</h2>
                <ul>
                    <li><a href="http://cmc.ericshen.net" target="_blank">Christmas Math Competitions (CMC)</a><ul><li>Annual mock MAA competition series written by the CMC committee and released around Christmas to help the community prepare for the upcoming competition season. I led the development of CMC's <a href="https://aops.com/community/c594864h2375558p19439759" target="_blank">Year 4</a> tests.</li></ul>
                    </li>
                    <li><a href="https://aops.com/community/c594864h1821588" target="_blank">Post-Apocalyptic Mock AIME</a><ul><li>A mock AIME written with <a href="http://ericshen.net" target="_blank">Eric Shen</a> and released in April 2019.</li></ul>
                    </li>
                </ul>
                <h2>Math Materials</h2>
                <ul>
                    <li><a href="files/contfrac.pdf" target="_blank">Continued Fractions</a><ul><li>Handout on continued fractions made for a class at YEA MA5.0 which I taught. Inspired by material covered at PROMYS. Here are the <a href="files/contfracslides.pdf" target="_blank">slides</a> that go with the handout, and here are the <a href="files/contfracsolutions.pdf" target="_blank">solutions</a>.</li></ul>
                    </li>
                    <li><a href="files/density.pdf" target="_blank">Density</a><ul><li>Handout on density made in collaboration with <a href="http://ericshen.net" target="_blank">Eric Shen</a> for a class at YEA MA5.0 which we cotaught.</li></ul>
                    </li>
                    <li><a href="files/poly.pdf" target="_blank">Polynomnomnom</a><ul><li>Handout on polynomials made for a class at YEA MA5.0 which I taught.</li></ul>
                    </li>
                    <li><a href="files/crt.pdf" target="_blank">Chinese Remainder Theorem (CRT)</a><ul><li>Slides covering CRT made for a math class at <a href="https://www.primeri.org/winter-amc-bootcamp/" target="_lank">Primeri Bootcamp</a> that I taught. Primarily focuses on the concepts and intuition behind CRT rather than the statement; in particular, the "independence" between relatively prime modulus bases. Long version can be found <a href="files/crt-long.pdf" target="_blank">here</a>.</li></ul>
                    </li>
                    <li><a href="files/NRU-Prime.pdf" target="_blank">NRU-Prime</a><ul><li>Handout on prime factorization and p-adic valuation made for the <a href="https://mast.geometryexplorer.xyz" target="_blank">MAST</a> program.</li></ul>
                    </li>
                    <li><a href="files/intuition.pdf" target="_blank">Olympiad Intuition</a><ul><li>Handout on olympiad intuition made for a class at YEA MO5.0 which I taught. Here are the <a href="files/intuitionslides.pdf" target="_blank">slides</a> that go with the handout.</li></ul>
                    </li>
                    <li><a href="files/vppset.pdf" target="_blank">p-adic Valuation</a><ul><li>Problem set on v_p (p-adic valuation) made for a class at YEA MO5.0 which I taught. Here are the <a href="files/vpslides.pdf" target="_blank">slides</a> that go with the problem set.</li></ul>
                    </li>
                    <li><a href="files/algmanippset.pdf" target="_blank">Alg-Manip</a><ul><li>Problem set on algebraic manipulations (alg-manip) made for a class at YEA MO5.0 which I taught. Here are the <a href="files/algmanipslides.pdf" target="_blank">slides</a> that go with the problem set.</li></ul>
                    </li>
                    <li><a href="files/groups.pdf" target="_blank">Groups and Permutations</a><ul><li>Slideshow created for a guest lecture I gave on groups and permutations at YEA BIG. The main focus of the talk is to introduce groups and permutations and prove some results about the symmetric and alternating groups of order n where n is at least 5.</li></ul>
                    </li>
                    <li><a href="https://www.nicecontest.xyz/static/media/NJ2.942d32c0.pdf" target="_blank">Roots of Unity Filter (ROUF)</a><ul><li>Entry in the <a href="https://www.nicecontest.xyz" target="_blank">NICE</a> Journal written in collaboration with Dylan Yu. ROUF is a powerful tool that has applications in algebra, combinatorics, number theory, and geometry. The relevant section starts on page 12.</li></ul>
                    </li>
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