rename papers accordingly, and add descriptive info

remove dup maths papers
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Machine learning often overlaps significantly with compression.

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https://www.youtube.com/watch?v=_qjPFF5Gv1I

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https://www.math.upenn.edu/~ghrist/preprints/ATSN.pdf

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## Mathematics
* [:scroll:](transcendence-of-pi.pdf) [The Transcendence of pi](https://github.com/papers-we-love/papers-we-love/blob/master/mathematics/transcendence-of-pi.pdf) by Steve Mayer
* [:scroll:] [Tilings](https://github.com/papers-we-love/papers-we-love/blob/master/mathematics/ardila.tilings.0501170.pdf) by Ardila
* [:scroll:] [Tilings](https://github.com/papers-we-love/papers-we-love/blob/master/mathematics/tilings.pdf) by Ardila
Programmers are used to counting boring things. Why not count something more interesting for a change?
Programmers are used to counting boring things. Why not count something more interesting for a change? This paper covers a broad swatch of the topic of analysis of tiling, and related strategies.
* [:scroll:] [graph isomorphism and representation theory](https://github.com/papers-we-love/papers-we-love/blob/master/mathematics/daniel litt. graph isomorphism and representation theory. graphs-sl2.pdf) by Daniel Litt
* [:scroll:] [From Dominoes to Hexagons](https://github.com/papers-we-love/papers-we-love/blob/master/mathematics/from-dominoes-to-hexagons.pdf) by Thurston
A paper on the generalization of tilings across different base planes.
* [:scroll:] [graph isomorphism and representation theory](https://github.com/papers-we-love/papers-we-love/blob/master/mathematics/graph-isomorphism-and-representation-theory.pdf) by Daniel Litt
Programmers work with graphs often (file system, greplin, trees, "graph isomorphism problem" (who cares) ). But have you ever tried to construct a simpler building-block (basis) with which graphs could be built? Or at least a different building block to build the same old things.
This <10-page paper also uses `𝔰𝔩₂()`, a simple mathematical object you havent heard of, but which is a nice lead-in to an area of real mathematicsrep theorythat (1) contains actual insights (1a) that you arent using (2) is simple (3) isnt pretentious.
* [:scroll:] [Conway's ZIP proof](https://github.com/papers-we-love/papers-we-love/blob/master/mathematics/francis + weeks ZIP proof.pdf) by francis + weeks
* [:scroll:] [Conway's ZIP proof](https://github.com/papers-we-love/papers-we-love/blob/master/mathematics/conways-zip-proof.pdf) by George Francis and Jeffrey Weeks
This paper can be shown to college freshmen because
* its pictorial
* its about an object you mightnt have considered mathematical
* it is pictorial
* it is about an object you might not have considered mathematical
* no calculus, crypto, ML, or pretentious notation
* its short
* its a classification proof: “How can it be that you know something about _all possible_ `X`, even the `xϵX` you havent seen yet?
* [:scroll:] [from dominoes to hexagons](https://github.com/papers-we-love/papers-we-love/blob/master/mathematics/from-dominoes-to-hexagons.pdf) by Thurston
* [:scroll:] [On Invariants](https://github.com/papers-we-love/papers-we-love/blob/master/mathematics/OnOnInvariants.pdf) by Bar-Natan
* it is short
* it is a classification proof: “How can it be that you know something about _all possible_ `X`, even the `xϵX` you havent seen yet?
2 pages about how notation and algorithms are inferior to clarity and simplicity.
* [:scroll:] [packing of spheres](https://github.com/papers-we-love/papers-we-love/blob/master/mathematics/packing-of-spheres--sloane.pdf) by Sloane
* [:scroll:] [packing of spheres](https://github.com/papers-we-love/papers-we-love/blob/master/mathematics/packing-of-spheres.pdf) by N. Sloane
* role of E8 & Leech lattice in optimal codes
* mathematically best compression was never used
* ikosahedron
* [:scroll:] [some underlying geometric notions](https://github.com/papers-we-love/papers-we-love/blob/master/mathematics/some-underlying-geometric-notions.pdf)
* [:scroll:] [triality in so(4,4) characteristic classes, D4 G2 singularities](https://github.com/papers-we-love/papers-we-love/blob/master/mathematics/triality.in.so(4,4).characteristic.classes.d4.g2.singularities.1311.0507.pdf) by Mikosz and Weber
This is a higher-level paper, but still a survey (so more readable). It ties together disparate areas like Platonic solids (A-D-E), Milnors exceptional fibre, and algebra.
It has pictures and youll get a better sense of what mathematics is like from skimming it.
* [:scroll:] [what is a young tableaux?](https://github.com/papers-we-love/papers-we-love/blob/master/mathematics/whatis a young tableau? alexander yong.pdf) by Alexander Yong
* [:scroll:] [what is a young tableaux?](https://github.com/papers-we-love/papers-we-love/blob/master/mathematics/what-is-a-young-tableau.pdf) by Alexander Yong
Young Tableau appear in many areas of mathematics. Beyond combinatoric problems, we also see them in representation theory, and the calculus of Grassmannians.
Another common topic is sorting "You do sorting all the time. Are there smart ways to organise sub-sorts?"
You do sorting all the time. Are there smart ways to organise sub-sorts?
### Topology
* [:scroll:] [topology of numbers](https://github.com/papers-we-love/papers-we-love/blob/master/mathematics/topology-of-numbers--hatcher.pdf) by hatcher
* [:scroll:] [Topology of Numbers](https://github.com/papers-we-love/papers-we-love/blob/master/mathematics/topology-of-numbers--hatcher.pdf) by hatcher
* [Applied Algebraic Topology and Sensor Networks](https://www.math.upenn.edu/~ghrist/preprints/ATSN.pdf) by Robert Ghrist
* [:scroll:] [intro to tropical algebra geometry](https://github.com/papers-we-love/papers-we-love/blob/master/mathematics/intro-to-tropical-algebra-geometry.pdf)
* [:scroll:] [Intro to Tropical Algebra Geometry](https://github.com/papers-we-love/papers-we-love/blob/master/mathematics/intro-to-tropical-algebraic-geometry.pdf)
Recently there have been some papers posted about tropical geometry of neural nets. Tropical is also said to be derived from CS. This is a good introduction.
* [:scroll:] [EAT: Sheaves](https://github.com/papers-we-love/papers-we-love/blob/master/mathematics/EAT-chapter9-sheaves.pdf)
* [:scroll:] [Elements of Algebraic Topology: Sheaves](https://github.com/papers-we-love/papers-we-love/blob/master/mathematics/elements-of-algebraic-topology-ch9-sheaves.pdf)
Varying your dimensionality across a space. But also — distributed robots!
Seminal writing on topological structures, from one most lauded books 'Elements of Algebraic Topology'
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