diff --git a/data_compression/see.machine.learning b/data_compression/see.machine.learning deleted file mode 100644 index b1f16dd..0000000 --- a/data_compression/see.machine.learning +++ /dev/null @@ -1 +0,0 @@ -Machine learning often overlaps significantly with compression. diff --git a/machine_learning/0411343.pdf b/machine_learning/0411343.pdf deleted file mode 100644 index 2c11332..0000000 Binary files a/machine_learning/0411343.pdf and /dev/null differ diff --git a/machine_learning/1601.04920.pdf b/machine_learning/1601.04920.pdf deleted file mode 100644 index 0f4cbd8..0000000 Binary files a/machine_learning/1601.04920.pdf and /dev/null differ diff --git a/machine_learning/82306620.pdf b/machine_learning/82306620.pdf deleted file mode 100644 index 324b2a1..0000000 Binary files a/machine_learning/82306620.pdf and /dev/null differ diff --git a/machine_learning/curt.mac.mullen.renormalisation.video.url b/machine_learning/curt.mac.mullen.renormalisation.video.url deleted file mode 100644 index 0a5cf0f..0000000 --- a/machine_learning/curt.mac.mullen.renormalisation.video.url +++ /dev/null @@ -1 +0,0 @@ -https://www.youtube.com/watch?v=_qjPFF5Gv1I \ No newline at end of file diff --git a/mathematics/ATSN.url b/mathematics/ATSN.url deleted file mode 100644 index 46d467a..0000000 --- a/mathematics/ATSN.url +++ /dev/null @@ -1 +0,0 @@ -https://www.math.upenn.edu/~ghrist/preprints/ATSN.pdf \ No newline at end of file diff --git a/mathematics/OnOnInvariants.pdf b/mathematics/OnOnInvariants.pdf deleted file mode 100644 index cb53762..0000000 Binary files a/mathematics/OnOnInvariants.pdf and /dev/null differ diff --git a/mathematics/README.md b/mathematics/README.md index c7f0ddf..57ab7a7 100644 --- a/mathematics/README.md +++ b/mathematics/README.md @@ -1,53 +1,55 @@ ## 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(ℂ)`, a simple mathematical object you haven’t heard of, but which is a nice lead-in to an area of real mathematics—rep theory—that (1) contains actual insights (1a) that you aren’t using (2) is simple (3) isn’t 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 - * it’s pictorial - * it’s about an object you mightn’t have considered mathematical + * it is pictorial + * it is about an object you might not have considered mathematical * no calculus, crypto, ML, or pretentious notation - * it’s short - * it’s a classification proof: “How can it be that you know something about _all possible_ `X`, even the `xϵX` you haven’t 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 haven’t 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), Milnor’s exceptional fibre, and algebra. It has pictures and you’ll 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! \ No newline at end of file + Seminal writing on topological structures, from one most lauded books 'Elements of Algebraic Topology' \ No newline at end of file diff --git a/mathematics/francis + weeks ZIP proof.pdf b/mathematics/conways-zip-proof.pdf similarity index 100% rename from mathematics/francis + weeks ZIP proof.pdf rename to mathematics/conways-zip-proof.pdf diff --git a/mathematics/EATchapter9.pdf b/mathematics/elements-of-algebraic-topology-ch9-sheaves.pdf similarity index 100% rename from mathematics/EATchapter9.pdf rename to mathematics/elements-of-algebraic-topology-ch9-sheaves.pdf diff --git a/mathematics/0405482.pdf b/mathematics/from-dominoes-to-hexagons.pdf similarity index 100% rename from mathematics/0405482.pdf rename to mathematics/from-dominoes-to-hexagons.pdf diff --git a/mathematics/daniel litt. graph isomorphism and representation theory. graphs-sl2.pdf b/mathematics/graph-isomorphism-and-representation-theory.pdf similarity index 100% rename from mathematics/daniel litt. graph isomorphism and representation theory. graphs-sl2.pdf rename to mathematics/graph-isomorphism-and-representation-theory.pdf diff --git a/mathematics/1207.1925.pdf b/mathematics/intro-to-tropical-algebraic-geometry.pdf similarity index 100% rename from mathematics/1207.1925.pdf rename to mathematics/intro-to-tropical-algebraic-geometry.pdf diff --git a/mathematics/moon duchin on female genius.pdf b/mathematics/moon duchin on female genius.pdf deleted file mode 100644 index 0ee72a8..0000000 Binary files a/mathematics/moon duchin on female genius.pdf and /dev/null differ diff --git a/mathematics/Me109.pdf b/mathematics/packing-of-spheres.pdf similarity index 100% rename from mathematics/Me109.pdf rename to mathematics/packing-of-spheres.pdf diff --git a/mathematics/ATch0.pdf b/mathematics/some-underlying-geometric-notions.pdf similarity index 100% rename from mathematics/ATch0.pdf rename to mathematics/some-underlying-geometric-notions.pdf diff --git a/mathematics/ardila.tilings.0501170.pdf b/mathematics/tilings.pdf similarity index 100% rename from mathematics/ardila.tilings.0501170.pdf rename to mathematics/tilings.pdf diff --git a/mathematics/TNbook.pdf b/mathematics/topology-of-numbers--hatcher.pdf similarity index 100% rename from mathematics/TNbook.pdf rename to mathematics/topology-of-numbers--hatcher.pdf diff --git a/mathematics/triality.in.so(4,4).characteristic.classes.d4.g2.singularities.1311.0507.pdf b/mathematics/triality.in.so(4,4).characteristic.classes.d4.g2.singularities.1311.0507.pdf deleted file mode 100644 index d4e7702..0000000 Binary files a/mathematics/triality.in.so(4,4).characteristic.classes.d4.g2.singularities.1311.0507.pdf and /dev/null differ diff --git a/mathematics/whatis a young tableau? alexander yong.pdf b/mathematics/what-is-a-young-tableau.pdf similarity index 100% rename from mathematics/whatis a young tableau? alexander yong.pdf rename to mathematics/what-is-a-young-tableau.pdf