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September 25, 2019 23:02
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Save Nikolaj-K/502bf35e1fb818df85f33de47668a793 to your computer and use it in GitHub Desktop.
An in-process list of subjects for a compilation image and some Mathematica code
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This is an old list of subjects for a compilation image. | |
At the bottom of the file I've dumped the Mathematica code to render it in an image. | |
More visually pleasing ways to do it have been suggested to me here: | |
https://mathematica.stackexchange.com/questions/2768/how-to-partition-a-disk-into-individually-spaced-bricks | |
I will recompile it eventually and make some nice pic. | |
Please comment if you feel I should add something or re-order. | |
Intuitionistic Logic | |
Propositional Calculus | |
Predicate Logic | |
Higher-Order Logic | |
First-Order Logic | |
Modal Logic | |
Proof Theory | |
Model Theory | |
Many-Valued Logics | |
Categorical Logic | |
Category Theory | |
Set Theory | |
Boolean Algebra | |
Programming Languages | |
Computability Theory | |
Type Theory | |
Algebraic Logic | |
Automated Reasoning | |
Theory Of Computation | |
Algebra | |
Order Theory | |
Complexitiy Theory | |
Domain Theory | |
Topology | |
Algorithms | |
Universal Algebras | |
Topos Theory | |
Descriptive Set Theory | |
Algebraic Topology | |
Information Theory | |
Cryptography | |
Topological QFT | |
Sheaf Theory | |
Invariant Theory | |
Links And Braids | |
Cobordism Theory | |
Homotopy Theory | |
Homology Theory | |
Homological Algebra | |
Knot Theory | |
Network Theory | |
Numerical Analysis | |
Cohomology Theory | |
Algebraic K-Theory | |
Topological K-Theory | |
Twistor Theory | |
Schemes | |
Singularity Theory | |
Point Set Topology | |
Posets | |
Graph Theory | |
Lattice Theory | |
Tessellations | |
Geometric Topology | |
Combinatorics | |
Ramsey Theory | |
Spin Networks | |
Motives | |
Algebraic Geometry | |
Moduli Theory | |
Complex Systems | |
Matroid Theory | |
Modular Arithmetic | |
Surgery Theory | |
L-Theory | |
Number Theory | |
Abelian Varieties | |
Varieties | |
Intersection Theory | |
Group Cohomology | |
Algebraic Groups | |
Commutative Algebra | |
Arithmetics | |
Discrete Mathematics | |
Elliptic Curves | |
Analytic Number Theory | |
Sieve Theory | |
Algebraic Number Theory | |
Class Field Theory | |
Diophantine Equations | |
Real Algebraic Geometry | |
Arithmetic Geometry | |
Algebraic Surfaces | |
Finite Groups | |
Group Theory | |
Abelian Groups | |
Generating Functions | |
Associative Algebra | |
Ring Theory | |
Field Theory | |
Galois Theory | |
Groupoids | |
Clifford Algebras | |
Galois Representations | |
Galois Cohomology | |
KK-Theory | |
Operator Algebras | |
Operator K-Theory | |
Differential Operators | |
Functional Analysis | |
*-Algebras | |
von Neumann Algebras | |
Banach Algebras | |
C*-Algebras | |
Noncommutative Algebra | |
Axiomatic QFT | |
Banach Spaces | |
Hilbert Spaces | |
Linear Algebra | |
Vector Spaces | |
Spectral Theory | |
Distributions | |
Fredholm Theory | |
Functional Equations | |
Functional Calculus | |
Causal Structures | |
Topological Vector Spaces | |
Fibrations | |
Finite Algebras | |
Kac-Moody Algebras | |
BRST-Cohomology | |
Renormalization Group | |
Functional Integration | |
Superalgebras | |
Yang-Mills Theory | |
Gauge Theory | |
Fibre Bundles | |
Differential Topology | |
Fractional Calculus | |
Morse Theory | |
Differential Geometry | |
Complex Analysis | |
Modular Forms | |
Conformal Field Theory | |
Noncommutative Geometry | |
Real Analysis | |
Riemann Surfaces | |
Approximation Theory | |
Vector Calculus | |
Non-standard Analysis | |
Finite Geometry | |
Differential Calculus | |
Hodge Theory | |
deRham Cohomology | |
Riemannian Geometry | |
Cartan Geometry | |
Pseudo-Riemannian Geometry | |
Kähler Manifolds | |
Klein Geometry | |
Finsler Geometry | |
Projective Geometry | |
Fractal Geometry | |
Hyperbolic Geometry | |
Convex Geometry | |
Lie Sphere Geometry | |
Discrete Geometry | |
Euclidean Geometry | |
Symplectic Geometry | |
Affine Geometry | |
Conformal Geometry | |
Spherical Trigonometry | |
Trigonometry | |
Elliptic Geometry | |
Plane Geometry | |
ODEs | |
Poisson Manifolds | |
Microlocal Analysis | |
Deformation | |
Quantum Groups | |
Fourier Analysis | |
Topological Groups | |
Representation Theory | |
Special Functions | |
Module Theory | |
PDEs | |
Lie Groups | |
Harmonic Analysis | |
Wavelet Analysis | |
Potential Theory | |
Integrable Systems | |
Turbulence | |
Chaos Theory | |
Dynamical Systems | |
Metric Spaces | |
Stability Theory | |
Optimal Control Theory | |
Ergodic Theory | |
Calculus Of Variations | |
Optimization | |
Bifurcation Theory | |
Measure Theory | |
Stochastic | |
Fuzzy measures | |
Bayesian Inference | |
Statistics | |
Martingale Theory | |
Regression Analysis | |
Probability Theory | |
Estimation Theory | |
Game Theory | |
### Mathematica code | |
styleFunction = | |
Style[#1, FontFamily -> "Futura", FontWeight -> Bold, | |
FontSize -> 17.3 + (1.2) RandomReal[{-1, 1}], | |
FontColor -> | |
Hue[1/10 + (1 - 2*1/10) (#2/Length@words)^(1.4) + | |
RandomReal[{-1, 1}]/10, RandomReal[{.4, 1}], | |
RandomReal[{.1, .7}]] | |
] &; | |
thisDir = "<folder where the list of items is and where you print it to in the end>" | |
Physics"; | |
SetDirectory[thisDir]; | |
words = Import["math_topics2.txt", "Lines"]; | |
words = MapIndexed[styleFunction, words]; | |
h = 1.0; | |
w = 9.0; | |
R = 23.0; | |
f[m_] = Floor[Abs[Sqrt[R^2 - (R - h*m)^2]]]; | |
coordinates = Flatten[Table[Table[ | |
{(-1)^m (f[m] - n*w) + w Random[]/10, R - h*m + h Random[]/10}, | |
{n, 0, Floor[2 f[m]/w]}], {m, 0, Ceiling[2 R/h]} | |
], 1]; | |
Graphics[Point[coordinates]](* Optional *) | |
graphic = Graphics[Join[ | |
Table[ | |
{Text[words[[i]], coordinates[[i]]]}, | |
{i, 1, Min[Length@words, Length@coordinates]} | |
], | |
{Text[Style["Nikolaj-K on youtube", | |
FontFamily -> "Futura", FontColor -> Black, FontWeight -> Bold, | |
FontSize -> 26], | |
{4.0, -22.2}]}], | |
ImageSize -> 1200, | |
Background -> | |
Lighter@Lighter@Lighter@Lighter@Lighter@Lighter@Lighter@LightBlue | |
] | |
Export["RequiredReading.png", graphic, ImageSize -> 1200]; |
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