math
index
I by descipline
3 mathematics
4 physics
- 4.1 discipline
- 4.2 learning map
5 plot
6 programming language
- 6.1 discipline
- 6.2 learning map
7 machine learning
- 7.1 Shai Ben-David
- 7.2 deep learning
  - 7.2.1 我妻幸長
II by date
9 A Minimal Book Example
10 test
11 test2
12 partition
13 equivalence class
14 equivalence relation
15 Python
16 TikZ
17 xy-pic
- 17.1 pure LaTeX equation environment not rendering xy-pic in HTML
- 17.2 R figure knit with TikZ engine
18 statistics
- 18.1 Hung Hung
- 18.2 Chen, Lin-An
19 covariance matrix
- 19.1 vector direct product
- 19.2 covariance matrix and its properties
20 Gosper algorithm
- 20.1 Zhuli
- 20.2 TaylorCatAlice
21 Lorentz transformation
22 R
23 Laplace transform
24 conic section
25 distance from a point to a line
26 real symmetric matrix diagonalizable
27 tangent half-angle formula
28 homogeneous coordinate
- 28.1 Cem Yuksel
29 Archimedean property
30 MatPlotLib / matplotlib
- 30.1 Timothy H. Wu
- 30.2 export
  - 30.2.1 .svg
  - 30.2.2 .eps
31 survial analysis
- 31.1 Python package tableone
- 31.2 Python package lifelines
32 Manim
33 ggplot2
34 notational system for design
35 design of experiment
36 quine
- 36.1 %r
37 quaternion
38 DICOM
39 tendon pathophysiology
- 39.1 histology
40 group theory
41 tensor
42 dual space
43 vector space
44 \(\mathrm{d}f\)
45 determinant
46 hypergeometric function
47 Feynman method
48 Hilbert space
49 Lagrange inversion
- 49.1 Newton
- 49.2 Lagrange
50 quantum color dynamics
51 Lagrangian
52 Hamiltonian
53 Fourier analysis
54 axiom of choice
- 54.1 Zorn lemma
55 linear algebra
56 analysis
57 matrix calculus
58 genetics
59 multivariate normal distribution
- 59.1 bivariate normal distribution
60 logic
- 60.1 Shai Ben-David
61 algorithm
- 61.1 Chen, Vivian
- 61.2 The Bubble Sort Curve
62 computer graphics
- 62.1 Cem Yuksel
  - 62.1.1 introduction
    - 62.1.1.1 2D transformation
    - 62.1.1.2 3D transformation
  - 62.1.2 interactive
63 autoregression in time series
64 conductivity
- 64.1 resistance
- 64.2 semiconductor
65 LaTeX annotation by TikZ
66 Shannon sampling
67 brachistochrone
68 magnetic resonance
- 68.1 NMR
  - 68.1.1 Bloch equation
  - 68.1.2 Bloch-Torrey equation
- 68.2 MRI
69 OpenMMLab
- 69.1 Tongji TommyZihao
- 69.2 official
70 linear programming
71 TaylorCatAlice physics
72 fundamental theorem of algebra
- 72.1 Gauss
- 72.2 equation
  - 72.2.1 cubic equation
  - 72.2.2 qunitic equation
73 Basel problem
74 number theory
- 74.1 4 important theorems
- 74.2 congruence modulo
75 spinor
- 75.1 EigenChris
- 75.2 Shinonome Masaki
76 singular value decomposition
- 76.1 Visual Kernel
- 76.2 CCJou: LA Revelation
77 support vector machine
- 77.1 Visually Explained
78 principal component analysis
- 78.1 Visually Explained
- 78.2 dimension reduction: PCA, tSNE, UMAP
79 transformer
- 79.1 Lee, Hung-Yi
- 79.2 3B1B
80 differential equation
- 80.1 ODE = ordinary DE = ordinary differential equation
  - 80.1.1 Sturm-Liouville theory
- 80.2 PDE = partial DE = partial differential equation
81 Shannon
- 81.1 entropy
82 LEAN
83 recreational math
- 83.1 solved
  - 83.1.1 Monty Hall problem
  - 83.1.2 goat grazing problem
- 83.2 not yet solved
  - 83.2.1 moving sofa problem
84 causal inference
85 Einstein-de Hass effect
86 pythagorean theorem
- 86.1 2023 new proof with trigonometry
87 general relativity
- 87.1 EpicOrganism = AIRoswell = Pan, Yi-Wen
- 87.2 Elliot Schneider
88 LaTeX RegEx
89 operator theory
90 physics monsters
91 List of Theorem
92 Galois theory
93 Sage
references
Published with bookdown

math

Chapter 67: brachistochrone

https://www.youtube.com/watch?v=2c_bdVC9KS8