1. | Spinors for Beginners 21: Introduction to Quantum Field Theory from the ground up | 1,580 | |
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2. | Julia set fractal zooms | 21 | |
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3. | Mandelbrot zoom and pullback | 22 | |
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4. | Julia set fractal zoom -- 10 seconds | 28 | |
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5. | Julia Set Exploration | 45 | |
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6. | Watership Down - Bright Eyes with "Violet's Gone" intro | 51 | |
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7. | Super Paper Mario - Light Switch Puzzles and Row Echelon Form | 175 | |
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8. | Spinors for Beginners 14: Minimal Left Ideals (and Pacwoman Property) | 559 | |
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9. | Spinors for Beginners 15: Nilpotents, Fermions, and Maximally Isotropic Subspaces | 502 | Let's Play |
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10. | Spinors for Beginners 13: Ideals and Projectors (Idempotents) | 595 | |
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11. | Error Correcting Codes 4a: Finite Fields - Introduction to Non-Binary Codes | 317 | |
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12. | Spinors for Beginners 19: Tensor Product Representations of su(2) [Clebsch-Gordan coefficients] | 651 | |
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13. | Relativity 110d: Cosmology - FLRW Geodesics, Cosmological Redshift, Horizons, Comoving Coordinates | 334 | Vlog |
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14. | Relativity 109d: Gravitational Waves - Transverse-Traceless Gauge (Plus and Cross Polarizations) | 343 | |
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15. | Spinors for Beginners 6.1 - Equivalence of Quaternions, Sigma Matrices, and SU(2) | 510 | |
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16. | Spinors for Beginners 22: Dirac Equation and Gamma Matrices Deep Dive (+ chirality) | 720 | |
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17. | Spinors for Beginners 20: Lorentz Group / Algebra Representation Theory | 555 | |
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18. | Zelda: Phantom Hourglass - Knights and Knaves | 369 | | The Legend of Zelda: Phantom Hourglass
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19. | Spinors for Beginners 18: Irreducible Representations of SU(2) (Ladder Operators) | 631 | |
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20. | Relativity 105e: Acceleration - Covariant Derivative in Flat Spacetime (Rindler Coordinates) | 378 | |
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21. | Spinors for Beginners 12: How the Spin Group Generalizes Quaternions to any Dimension | 833 | |
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22. | Relativity 108e: Schwarzschild Metric - Gravitational Redshift / Blueshift (via covector fields) | 387 | |
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23. | Julia set fractal zoom -- 43 seconds | 397 | |
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24. | Spinors for Beginners 17: The spin 1/2 representations of SU(2) and SL(2,C) | 727 | |
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25. | Relativity 110c: Cosmology - FLRW Tensor/Coefficient Derivations | 413 | Vlog |
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26. | Relativity 109e: Gravitational Waves - How Gravitational Wave Affect Free Particles | 421 | | Gravitational
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27. | Relativity 110e: Cosmology - Perfect Fluids, Cosmic Rest Frame, Equation of State | 433 | Vlog |
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28. | Relativity 110b: Cosmology - FLRW Metric Derivation (3 possible geometries) | 448 | Vlog |
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29. | dune gom jabbar scene but it's a hard integral | 643 | |
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30. | Relativity 105d: Acceleration - Twin Paradox and Proper Time Along Curves (Rindler Metric) | 456 | |
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31. | Spinors for Beginners 10: SU(2) double covers SO(3) [ SL(2,C) double covers SO+(1,3) ] | 1,033 | |
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32. | Relativity 109a - Gravitational Waves: Introduction (LIGO, Wave Equation) | 479 | |
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33. | Relativity 105c: Acceleration - The Jacobian (changing basis in curvilinear Rindler coordinates) | 484 | |
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34. | Relativity 105f: Acceleration - Geodesics, Curved Light Beams (Rindler Coordinates) | 496 | |
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35. | Error Correcting Codes 2b: Linear Codes - Minimum Distance | 517 | |
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36. | Spinors for Beginners 8: Are the Pauli Matrices also Vectors? (Intro to Spinor Spaces) | 622 | |
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37. | Relativity 104d: Special Relativity - Velocity Addition and Relativity of Simultaneity | 527 | | Relativity
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38. | Spinors for Beginners 9: Pauli Spinors vs Weyl Spinors vs Dirac Spinors | 741 | |
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39. | Relativity 108d: Schwazrschild Metric - Eddington-Finkelstein, Kruskal-Szekeres, White/Wormholes | 548 | |
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40. | Relativity 109b: Gravitational Waves - Linearized Gravity / Weak Gravity | 559 | | Gravity
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41. | Relativity 103b: Galilean Relativity - Spacetime Separation (Interval) Vector and Invariance | 584 | |
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42. | Spinors for Beginners 16: Lie Groups and Lie Algebras | 1,445 | |
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43. | Relativity 109c: Gravitational Waves - Wave Derivation (The Lorenz Gauge) | 594 | |
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44. | Relativity 106a: Tensors - Frequency Wave Covectors and Doppler Shift (with accelerating frames) | 603 | |
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45. | Relativity 105b: Acceleration - Bell's Spaceship Paradox and Rindler Coordinates | 618 | |
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46. | Spinors for Beginners 6: Pauli Vectors and Pauli Matrices | 750 | |
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47. | Relativity 103d: Galilean Relativity - Euclidean Metric Tensor | 639 | |
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48. | Relativity 103a: Galilean Relativity - Spacetime Diagrams | 640 | | Relativity
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49. | Relativity 103c: Galilean Relativity - Galilean Transform and Covariance/Contravariance | 649 | | Relativity
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50. | Spinors for Beginners 7: Square Root of a Vector (factoring vector into spinors) | 779 | |
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51. | Error Correcting Codes 3b: Cyclic Codes - Generator Polynomial | 682 | |
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52. | Tensor Calculus 17.5: Covariant Derivative (Component Definition) - Optional | 685 | |
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53. | Spinors for Beginners 5: The Flagpole and Complex Projective Line (CP1) | 766 | |
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54. | Relativity 104c: Special Relativity - Time Dilation and Length Contraction Geometry | 705 | | Relativity
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55. | Relativity 110f: Cosmology - Friedmann Equations Derivation + Universe Evolution Models (FINALE) | 705 | Vlog |
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56. | Relativity 110a: Cosmology - Introduction to Modern Cosmology | 729 | Vlog |
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57. | Relativity 104f: Special Relativity - Relativistic Dynamics and 4-Vectors (E=mc^2) | 747 | |
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58. | Spinors for Beginners 11: What is a Clifford Algebra? (and Geometric, Grassmann, Exterior Algebras) | 1,665 | |
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59. | Error Correcting Codes 3a: Cyclic Codes - Polynomial Properties | 761 | |
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60. | Tensor Calculus 14: Gradient explanation + examples | 767 | |
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61. | Tensor Calculus 8: Covector Field Transformation Rules (Covariance) | 780 | |
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62. | Relativity 108b: Schwarzschild Metric - Interpretation (Gravitational Time Dilation, Event Horizon) | 783 | |
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63. | Tensor Calculus 26 - Ricci Tensor/Scalar Properties | 795 | |
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64. | my greatest mistake... | 1,091 | |
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65. | Spinors for Beginners 4: Quantum Spin States (Stern-Gerlach Experiment) | 961 | |
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66. | Relativity 108c: Schwarzschild Metric - Geodesics (Mercury perihelion advance, photon sphere) | 825 | |
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67. | Relativity 102a: Keys to Mathematics of Relativity - Invariance | 839 | | Relativity
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68. | Relativity 104b: Special Relativity - Lorentz Transform Equations Derivation | 842 | | Relativity
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69. | Tensor Calculus 25 - Geometric Meaning Ricci Tensor/Scalar (Volume Form) | 853 | |
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70. | Tensor Calculus 11: The Metric Tensor and Arc Lengths (flat space) | 862 | |
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71. | Error Correcting Codes 2a: Linear Codes - Generator Matrix | 883 | |
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72. | Relativity 103e: Galilean Relativity - The problems with Galilean Relativity | 887 | | Relativity
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73. | Error Correcting Codes 2c: Linear Codes - Parity-Check Matrix | 913 | |
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74. | Tensor Calculus 23: Riemann Curvature Tensor Components and Symmetries | 919 | |
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75. | Relativity 107d: General Relativity Basics - Curved Spacetime for Newtonian Gravity (Newton Cartan) | 931 | |
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76. | Tensor Calculus 10: Integration with Differential Forms Examples | 983 | |
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77. | Tensors for Beginners 12: Bilinear Forms are Covector-Covector pairs | 1,005 | |
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78. | Relativity 102b: Keys to Relativity - Covariance and Contravariance | 1,025 | | Relativity
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79. | Tensor Calculus 5.1: Derivative Operators are Vectors Discussion | 1,038 | Discussion |
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80. | Relativity 105a: Acceleration - Hyperbolic Motion and Rindler Horizon | 1,046 | |
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81. | Spinors for Beginners 3: Polarizations and SU(2) Matrices [and O(3), SO(3), U(2)] | 1,121 | |
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82. | Introduction to Mathematics of Spinors (from a self-learner) | 1,056 | |
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83. | Error Correcting Codes 1: Introduction + Hamming (7,4) Code | 1,058 | |
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84. | Tensors for Beginners 14: Tensors are general vector/covector combinations | 1,067 | |
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85. | Relativity 104a: Special Relativity - Lorentz Transformation Geometry (no equations) | 1,069 | | Relativity
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86. | Tensor Calculus 7: Covector Field Components | 1,083 | |
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87. | Relativity 101b: Introduction to Special Relativity | 1,110 | | Relativity
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88. | Relativity 107a: General Relativity Basics - Equivalence Principle and Proper Acceleration | 1,141 | |
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89. | Relativity 104e: Special Relativity - Spacetime Interval and Minkowski Metric | 1,156 | |
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90. | Tensor Calculus 5: Derivative Transformation Rules (Contravariance) | 1,188 | |
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91. | Tensor Calculus 19: Covariant Derivative (Intrinsic) and Geodesics | 1,213 | |
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92. | Tensor Calculus 24: Ricci Tensor Geometric Meaning (Sectional Curvature) | 1,260 | |
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93. | Tensor Calculus 9: Integration with Differential Forms | 1,296 | |
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94. | Tensor Calculus 16: Geodesic Examples on Plane and Sphere | 1,326 | |
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95. | Tensors for Beginners 13: Tensor Product vs Kronecker Product | 1,346 | |
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96. | Tensors for Beginners 11: Linear maps are Vector-Covector Pairs | 1,362 | |
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97. | Tensor Calculus 4: Derivatives are Vectors | 1,373 | |
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98. | Tensors for Beginners 15: Tensor Product Spaces | 1,377 | |
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99. | Relativity 107c: General Relativity Basics - Curvature, Riemann Tensor, Ricci Tensor, Ricci Scalar | 1,384 | |
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100. | Relativity 101a: Introduction to Galilean Relativity | 1,424 | | Relativity
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