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input/contact.md

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[contest resource recommendations](recommend.html),
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and the <del>propaganda section</del> [FAQ](faqs.html).
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Note there are *special instructions* if you are asking about:
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Note there are _special instructions_ if you are asking about:
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- [a specific math problem](#problems),
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- [math contest study advice](#advice),
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There are a few benefits to doing so:
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- Anyone can answer the question,
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so you may get faster responses or multiple responses.
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so you may get faster responses or multiple responses.
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- Anyone can see the answers provided,
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so it is more valuable to the community this way.
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so it is more valuable to the community this way.
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- It is easier to go back-and-forth in real time
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over Discord than over email.
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over Discord than over email.
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## {{ hl("notes", "Some notes for emails") }}
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Here are some hints:
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- Comments, thanks, or suggestions on my writing are always appreciated!
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This includes any typos you find, no matter how trivial.
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This includes any typos you find, no matter how trivial.
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- Specific queries get faster and better responses.
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So "can you explain this line of your solution to USAMO 20XY/Z?"
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will usually be answered pretty swiftly.
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Conversely, "how do i geo" will get at best a link to the FAQ.
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In any case, please be patient.
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So "can you explain this line of your solution to USAMO 20XY/Z?"
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will usually be answered pretty swiftly.
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Conversely, "how do i geo" will get at best a link to the FAQ.
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In any case, please be patient.
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- Proper syntax, English, capitalization, etc is appreciated.
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(I know some of you are not native English speakers,
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so I try to overlook this when I can.)
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(I know some of you are not native English speakers,
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so I try to overlook this when I can.)
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- *Don't be too shy*! I might sound scary here,
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but I do genuinely enjoy helping people where I can.<br>
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(Examples of good requests: specific math query,
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something I wrote is unclear, found a typo,
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follow-up questions, permission requests,
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questions on my experiences, etc. I'm sure there's more.)
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- _Don't be too shy_! I might sound scary here,
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but I do genuinely enjoy helping people where I can.<br>
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(Examples of good requests: specific math query,
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something I wrote is unclear, found a typo,
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follow-up questions, permission requests,
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questions on my experiences, etc. I'm sure there's more.)
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In particular, there's no need to send an email
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[asking if you can ask a question](https://dontasktoask.com/). Just ask it.
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In particular, there's no need to send an email
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[asking if you can ask a question](https://dontasktoask.com/). Just ask it.
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## {{ hl("problems", "Special instructions for particular problems") }}
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But otherwise I will likely be too embarrassed to admit I don't have time to
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work on every problem that students send me, and simply archive your message.
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Either way, if you *do* ask about a math problem:
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Either way, if you _do_ ask about a math problem:
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- Please state where the problem is from, and link it if possible.
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- Please describe what you've already tried on the problem.
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- Try search engine first.
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- Always paste code as text (or pastebin, etc.); **do not use screenshots**.
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- For LaTeX always include a
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[minimal working example](https://www.texfaq.org/FAQ-minxampl).
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[minimal working example](https://www.texfaq.org/FAQ-minxampl).
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- For Linux, write what commands you typed and the output.

input/coursework.md

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Currently, I live-TeX notes using latexmk and a heavily modified Vim editor.
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(For details on the technical setup, see [the corresponding FAQ](faq-school.html).)
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Since these notes are written *during* class, it is quite likely that they contain typos.
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Since these notes are written _during_ class, it is quite likely that they contain typos.
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Please send any corrections to me via email.
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For more polished exposition on some selected topics, see the [Napkin project](napkin.html).
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## {{ hl("mit", "Massachusetts Institute of Technology") }}
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* <b>(18.217) Combinatorial Theory</b>
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[(pdf, incomplete)](notes/MIT-18-217.pdf)<br>
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Taught by Alex Postnikov. Fall 2018.
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- <b>(18.217) Combinatorial Theory</b>
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[(pdf, incomplete)](notes/MIT-18-217.pdf)<br>
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Taught by Alex Postnikov. Fall 2018.
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* <b>(18.218) Topics in Combinatorics</b> [(pdf)](notes/MIT-18-218.pdf)<br>
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Taught by Alex Postnikov. Spring 2017.
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- <b>(18.218) Topics in Combinatorics</b> [(pdf)](notes/MIT-18-218.pdf)<br>
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Taught by Alex Postnikov. Spring 2017.
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* <b>(18.435) Quantum Computation</b> [(pdf)](notes/MIT-18-435.pdf)<br>
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Taught by Seth Lloyd. Fall 2015.
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- <b>(18.435) Quantum Computation</b> [(pdf)](notes/MIT-18-435.pdf)<br>
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Taught by Seth Lloyd. Fall 2015.
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* <b>(18.757) Representations of Lie Algebras</b> [(pdf)](notes/MIT-18-757.pdf)<br>
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Taught by Laura Rider. Spring 2016.
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- <b>(18.757) Representations of Lie Algebras</b> [(pdf)](notes/MIT-18-757.pdf)<br>
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Taught by Laura Rider. Spring 2016.
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+ <b>(18.786) Number Theory II</b> [(pdf, incomplete)](notes/MIT-18-786.pdf)<br>
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Taught by Andrew Sutherland. Spring 2018. These notes are very far from complete.
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* <b>(18.786) Number Theory II</b> [(pdf, incomplete)](notes/MIT-18-786.pdf)<br>
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Taught by Andrew Sutherland. Spring 2018. These notes are very far from complete.
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* <b>(18.950) Differential Geometry</b> [(pdf)](notes/MIT-18-950.pdf)<br>
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Taught by Xin Zhou. Fall 2015.
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- <b>(18.950) Differential Geometry</b> [(pdf)](notes/MIT-18-950.pdf)<br>
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Taught by Xin Zhou. Fall 2015.
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* <b>(SCUM) Student Colloqium in Mathematics</b> [(pdf)](notes/SCUM.pdf)<br>
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Not a class, but free dinner and math lectures every Wednesday.
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- <b>(SCUM) Student Colloqium in Mathematics</b> [(pdf)](notes/SCUM.pdf)<br>
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Not a class, but free dinner and math lectures every Wednesday.
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## {{ hl("harvard", "Harvard College") }}
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* <b>(Math 55a) Honors Abstract and Linear Algebra</b> [(pdf)](notes/Harvard-55a.pdf)<br>
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Taught by Dennis Gaitsgory. Fall 2014.
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* <b>(Math 55b) Honors Real and Complex Analysis</b> [(pdf)](notes/Harvard-55b.pdf)<br>
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Taught by Dennis Gaitsgory. Spring 2015.
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- <b>(Math 55a) Honors Abstract and Linear Algebra</b> [(pdf)](notes/Harvard-55a.pdf)<br>
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Taught by Dennis Gaitsgory. Fall 2014.
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* <b>(Math 129) Number Fields</b> [(pdf)](notes/Harvard-129.pdf)<br>
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Taught by Mark Kisin. Spring 2015.
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- <b>(Math 55b) Honors Real and Complex Analysis</b> [(pdf)](notes/Harvard-55b.pdf)<br>
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Taught by Dennis Gaitsgory. Spring 2015.
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* <b>(Math 137) Algebraic Geometry</b> [(pdf)](notes/Harvard-137.pdf)<br>
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Taught by Yaim Cooper. Spring 2015.
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- <b>(Math 129) Number Fields</b> [(pdf)](notes/Harvard-129.pdf)<br>
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Taught by Mark Kisin. Spring 2015.
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* <b>(Math 145a) Set Theory</b> [(pdf)](notes/Harvard-145a.pdf)<br>
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Taught by Peter Koellner. Fall 2014.
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- <b>(Math 137) Algebraic Geometry</b> [(pdf)](notes/Harvard-137.pdf)<br>
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Taught by Yaim Cooper. Spring 2015.
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* <b>(Math 145b) Set Theory II</b> [(pdf)](notes/Harvard-145b.pdf)<br>
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Taught by Peter Koellner. Spring 2015.
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- <b>(Math 145a) Set Theory</b> [(pdf)](notes/Harvard-145a.pdf)<br>
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Taught by Peter Koellner. Fall 2014.
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- <b>(Math 145b) Set Theory II</b> [(pdf)](notes/Harvard-145b.pdf)<br>
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Taught by Peter Koellner. Spring 2015.
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## {{ hl("berkeley", "University of California Berkeley") }}
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* <b>(Math 104) Introduction to Real Analysis</b> [(pdf)](notes/UCB104.pdf)<br>
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Taught by Charles Pugh. Fall 2013.
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* <b>(Math H113) Honors Introduction to Abstract Algebra</b> [(pdf)](notes/UCBH113.pdf)<br>
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Taught by Kelli Talaska. Spring 2012.
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- <b>(Math 104) Introduction to Real Analysis</b> [(pdf)](notes/UCB104.pdf)<br>
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Taught by Charles Pugh. Fall 2013.
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- <b>(Math H113) Honors Introduction to Abstract Algebra</b> [(pdf)](notes/UCBH113.pdf)<br>
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Taught by Kelli Talaska. Spring 2012.
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* <b>(Math 249) Algebraic Combinatorics</b> [(pdf)](notes/UCB249.pdf)<br>
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Taught by Lauren Williams. Fall 2013.
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- <b>(Math 249) Algebraic Combinatorics</b> [(pdf)](notes/UCB249.pdf)<br>
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Taught by Lauren Williams. Fall 2013.
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## {{ hl("sjsu", "San Jose State University") }}
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* <b>(Math 179) Intro to Graph Theory</b> [(pdf)](notes/SJSU179.pdf)<br>
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Taught by Wasin So. Spring 2013.
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* <b>(Math 275) Algebraic Topology</b> [(pdf)](notes/SJSU275.pdf)<br>
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Taught by Richard Kulbelka. Fall 2012.
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- <b>(Math 179) Intro to Graph Theory</b> [(pdf)](notes/SJSU179.pdf)<br>
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Taught by Wasin So. Spring 2013.
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- <b>(Math 275) Algebraic Topology</b> [(pdf)](notes/SJSU275.pdf)<br>
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Taught by Richard Kulbelka. Fall 2012.
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[transcript]: upload/math-coursework.pdf

input/discord.md

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---
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By using the link
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<center>
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<p><a href="https://discord.gg/KzFXYwqRFX">https://discord.gg/KzFXYwqRFX</a></p>
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</center>

input/excerpts.md

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### {{ hl("about", "About") }}
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*The OTIS Excerpts* is a mini-book
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_The OTIS Excerpts_ is a mini-book
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that I put together from
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[lecture notes I use during the year](otis.html).
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It is a collection of 192 problems and solutions.
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The Excerpts consist of selected problems from the following
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twelve topics from the [OTIS catalog][catalog]:
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+ Standard inequalities
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+ Functional equations
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+ Monsters
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+ Global
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+ Local
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+ Rigid
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+ Free
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+ Anti-problems
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+ Orders
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+ Prime exponents
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+ Heavy number theory (called "advanced techniques")
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+ Constructions in Number Theory
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- Standard inequalities
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- Functional equations
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- Monsters
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- Global
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- Local
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- Rigid
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- Free
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- Anti-problems
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- Orders
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- Prime exponents
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- Heavy number theory (called "advanced techniques")
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- Constructions in Number Theory
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Most of the lecture material is adapted from
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[existing handouts of mine](olympiad.html)

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