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authorYuchen Pei <me@ypei.me>2021-07-01 12:20:22 +1000
committerYuchen Pei <me@ypei.me>2021-07-01 12:20:22 +1000
commit6c8e5849392cc2541bbdb84d43ce4be2d7fe4319 (patch)
tree2ff6c7e21d5d6c99213e41647899c7b86b7b7e34 /pages
parentc29c3c0389c1f83f57b4215f7ff3cfc0f83e2b7c (diff)
Removed files no longer in use.
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----
-template: default
-title: Yuchen Pei
-name: index
----
-
-Hello! I am Yuchen.
-
-I am a programmer, mathematician and free software advocate.
-
-I did a PhD at the [MASDOC program at Warwick](https://warwick.ac.uk/fac/sci/masdoc), and spent two years in a postdoc position at [CMSA at Harvard](http://cmsa.fas.harvard.edu) and another one and a half years at the [KTH RMSMA group](https://www.math.kth.se/RMSMA/). After that I spent two years working as a full stack web developer.
-
-I am an associate member and licensing volunteer of the [Free Software Foundation](https://fsf.org), and have applied the philosophy of free software to knowledge and research. For example I shared my research in Robinson-Schensted algorithms as a [wiki](https://toywiki.xyz) under a free Creative Commons license. I believe anyone can be an academic, seeking truth and sharing their findings with the public.
-
-I can be reached at:
-&#104;&#105;&#64;&#121;&#112;&#101;&#105;&#46;&#109;&#101;. Feel free to email me, whether you know me or not.
-
-Unless otherwise specified, all contents on this website are licensed under [Creative Commons Attribution ShareAlike 4.0 International License](https://creativecommons.org/licenses/by-sa/4.0/).
diff --git a/pages/links.md b/pages/links.md
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----
-template: default
-title: Links
----
-Here are some links I find interesting or helpful, or both. Listed in no particular order.
-
-- [Bret Victor](http://worrydream.com/)
-- [Peter Krautzberger](https://www.peterkrautzberger.org/archive/)
-- [Chris Piech](https://web.stanford.edu/~cpiech/bio/index.html)
-- [SciLag](https://www.scilag.net/)
-- [Scandinavia and the World](https://satwcomic.com/)
-- [Arxiv Sanity Preserver](http://www.arxiv-sanity.com/)
-- [ShortScience.org](http://www.shortscience.org/)
-- [Papers with Code](https://paperswithcode.com/)
-- [Distill](https://distill.pub/)
-- [CodaLab](https://competitions.codalab.org/competitions/)
-- [HaskellForMaths](https://haskellformaths.blogspot.com/)
-- [Open Problem Garden](http://www.openproblemgarden.org/)
-- [AMS open notes](http://www.ams.org/open-math-notes)
-- [Macdonald polynomials webpage](http://garsia.math.yorku.ca/MPWP/)
-- [Hacker News](https://news.ycombinator.com/)
-- [Armin Straub](http://arminstraub.com/)
-- [Bill Cherowitzo](http://www-math.ucdenver.edu/~wcherowi/)
-- [Richard Stallman](https://stallman.org/)
-- [Aaron Swartz](http://www.aaronsw.com/) - The Internet's own boy
-- [False, Misleading, Clickbait-y, and/or Satirical “News” Sources](https://docs.google.com/document/d/10eA5-mCZLSS4MQY5QGb5ewC3VAL6pLkT53V_81ZyitM/preview)
-- [Differential Equations & Linear Algebra](http://www.math.utah.edu/~jasonu/deala/) - Lecture notes on the web
-- [William Stein](http://wstein.org/) - William Stein, the creator of SageMath
- - [The origins of SageMath](http://wstein.org/talks/2016-06-sage-bp/) Stein's BP centenary talk at Harvard
-- [SageMath](http://www.sagemath.org/) - Open-source maths software system
-- [Project Euler](https://projecteuler.net/)
-- [Blockly games](https://blockly-games.appspot.com/about?lang=en)
-- [Math ∩ Programming](https://jeremykun.com/)
-- [Authorea](https://www.authorea.com/)
-- [Big Data](http://bigdata.show)
-- [Fermat's Library](http://fermatslibrary.com/)
-- [Tricki](http://www.tricki.org/)
-- [AMS Feature Column](http://www.ams.org/samplings/feature-column/fc-current.cgi)
-- [arXiv](https://arxiv.org)
-- [What's new](https://terrytao.wordpress.com/) - Terence Tao's blog
-- [Gowers's weblog](https://gowers.wordpress.com/) - Timothy Gowers's blog
-- [Polymath](http://michaelnielsen.org/polymath1/index.php?title=Main_Page) - MMO maths research
-- [OEIS](https://oeis.org/) - The On-Line Encyclopedia of Integer Sequences® (OEIS®)
-- ~~[Vi IMproved](http://www.vim.org) - the one true text editor.~~ I'm switching to using [GNU Emacs](https://www.gnu.org/software/emacs/) now.
-- [Regex Golf](http://regex.alf.nu/)
-- [Regex Crossword](http://regexcrossword.com/)
-- [Arch Linux](http://archlinux.org)
-- [Jupyter notebook](https://jupyter.org/) - An open-source notebook
-- Stackexchange sites
- - [Mathoverflow](https://mathoverflow.net/)
- - [Mathematics](https://math.stackexchange.com/)
- - [Codegolf](https://codegolf.stackexchange.com/) - The most fun corner of Stackexchange.
-- [Danial Bump](http://math.stanford.edu/~bump/)
-- [Bill Casselman](http://www.math.ubc.ca/~cass/)
diff --git a/pages/notations.md b/pages/notations.md
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----
-date: '2019-03-15'
-title: List of Notations
-template: default
----
-
-Here I list meanings of notations that may have not been explained
-elsewhere.
-
-- $\text{ty}$: type. Given a word $w \in [n]^\ell$,
- $\text{ty} w = (m_1, m_2, ..., m_n)$ where $m_i$ is the number of
- $i$\'s in $w$. For example
- $\text{ty} (1, 2, 2, 1, 4, 2) = (2, 3, 0, 1)$. The definition of
- $\text{ty} T$ for a tableau $T$ is similar.
-- $[n]$: for $n \in \mathbb N_{>0}$, $[n]$ stands for the set
- $\{1, 2, ..., n\}$.
-- $i : j$: for $i, j \in \mathbb Z$, $i : j$ stands for the set
- $\{i, i + 1, ..., j\}$, or the sequence $(i, i + 1, ..., j)$,
- depending on the context.
-- $k = i : j$: means $k$ iterates over $i$, $i + 1$,\..., $j$. For
- example $\sum_{k = 1 : n} a_k := \sum_{k = 1}^n a_k$.
-- $x_{i : j}$: stands for the set $\{x_k: k = i : j\}$ or the sequence
- $(x_i, x_{i + 1}, ..., x_j)$, depending on the context. So are
- notations like $f(i : j)$, $y^{i : j}$ etc.
-- $\mathbb N$: the set of natural numbers / nonnegative integer
- numbers $\{0, 1, 2,...\}$, whereas
-- $\mathbb N_{>0}$ or $\mathbb N^+$: Are the set of positive integer
- numbers.
-- $x^w$: when both $x$ and $w$ are tuples of objects, this means
- $\prod_i x_{w_i}$. For example say $w = (1, 2, 2, 1, 4, 2)$, and
- $x = x_{1 : 7}$, then $x^w = x_1^2 x_2^3 x_4$.
-- $LHS$, LHS, $RHS$, RHS: left hand side and right hand side of a
- formula
-- $e_i$: the $i$th standard basis in a vector space:
- $e_i = (0, 0, ..., 0, 1, 0, 0, ...)$ where the sequence is finite or
- infinite depending on the dimension of the vector space and the $1$
- is the $i$th entry and all other entries are $0$.
-- $1_{A}(x)$ where $A$ is a set: an indicator function, which
- evaluates to $1$ if $x \in A$, and $0$ otherwise.
-- $1_{p}$: an indicator function, which evaluates to $1$ if the
- predicate $p$ is true and $0$ otherwise. Example: $1_{x \in A}$,
- same as $1_A(x)$.
-- $\xi \sim p$: the random variable $xi$ is distributed according to
- the probability density function / probability mass function /
- probability measure $p$.
-- $\xi \overset{d}{=} \eta$: the random variables $\xi$ and $\eta$
- have the same distribution.
-- $\mathbb E f(\xi)$: expectation of $f(\xi)$.
-- $\mathbb P(A)$: probability of event $A$.
-- $a \wedge b$: $\min\{a, b\}$.
-- $a \vee b$: $\max\{a, b\}$.
-- $(\alpha)_+$: the positive part of $\alpha$, i.e. $\alpha \vee 0$.
-- $(\alpha)_-$: the negative part of $\alpha$, i.e. $(- \alpha)_+$.