1. notice
  2. English
  3. 1. feature
  4. logic-topic
  5. 2. logic
  6. 3. set-theory
  7. 4. map
  8. 5. order
  9. 6. combinatorics
  10. calculus
  11. 7. real-numbers
  12. 8. limit-sequence
  13. 9. ℝ^n
  14. 10. Euclidean-space
  15. 11. Minkowski-space
  16. 12. polynomial
  17. 13. analytic-Euclidean
  18. 14. analytic-Minkowski
  19. 15. analytic-struct-operation
  20. 16. ordinary-differential-equation
  21. 17. volume
  22. 18. integral
  23. 19. divergence
  24. 20. limit-net
  25. 21. compact
  26. 22. connected
  27. 23. topology-struct-operation
  28. 24. exponential
  29. 25. angle
  30. geometry
  31. 26. manifold
  32. 27. metric
  33. 28. metric-connection
  34. 29. geodesic-derivative
  35. 30. curvature-of-metric
  36. 31. Einstein-metric
  37. 32. constant-sectional-curvature
  38. 33. simple-symmetric-space
  39. 34. principal-bundle
  40. 35. group-action
  41. 36. stereographic-projection
  42. 37. Hopf-bundle
  43. field-theory
  44. 38. point-particle-non-relativity
  45. 39. point-particle-relativity
  46. 40. scalar-field
  47. 41. scalar-field-current
  48. 42. scalar-field-non-relativity
  49. 43. projective-lightcone
  50. 44. spacetime-momentum-spinor-representation
  51. 45. Lorentz-group
  52. 46. spinor-field
  53. 47. spinor-field-current
  54. 48. electromagnetic-field
  55. 49. Laplacian-of-tensor-field
  56. 50. Einstein-metric
  57. 51. interaction
  58. 52. harmonic-oscillator-quantization
  59. 53. spinor-field-misc
  60. 54. reference
  61. 中文
  62. 55. notice
  63. 56. feature
  64. 逻辑
  65. 57. 逻辑
  66. 58. 集合论
  67. 59. 映射
  68. 60. 序
  69. 61. 组合
  70. 微积分
  71. 62. 实数
  72. 63. 数列极限
  73. 64. ℝ^n
  74. 65. Euclidean 空间
  75. 66. Minkowski 空间
  76. 67. 多项式
  77. 68. 解析 (Euclidean)
  78. 69. 解析 (Minkowski)
  79. 70. 解析 struct 的操作
  80. 71. 常微分方程
  81. 72. 体积
  82. 73. 积分
  83. 74. 散度
  84. 75. 网极限
  85. 76. 紧致
  86. 77. 连通
  87. 78. 拓扑 struct 的操作
  88. 79. 指数函数
  89. 80. 角度
  90. 几何
  91. 81. 流形
  92. 82. 度规
  93. 83. 度规的联络
  94. 84. Levi-Civita 导数
  95. 85. 度规的曲率
  96. 86. Einstein 度规
  97. 87. 常截面曲率
  98. 88. simple-symmetric-space
  99. 89. 主丛
  100. 90. 群作用
  101. 91. 球极投影
  102. 92. Hopf 丛
  103. 场论
  104. 93. 非相对论点粒子
  105. 94. 相对论点粒子
  106. 95. 纯量场
  107. 96. 纯量场的守恒流
  108. 97. 非相对论纯量场
  109. 98. 光锥射影
  110. 99. 时空动量的自旋表示
  111. 100. Lorentz 群
  112. 101. 旋量场
  113. 102. 旋量场的守恒流
  114. 103. 电磁场
  115. 104. 张量场的 Laplacian
  116. 105. Einstein 度规
  117. 106. 相互作用
  118. 107. 谐振子量子化
  119. 108. 旋量场杂项
  120. 109. 参考

note-math

中文 English

English ver. are machine translation without check from gemini-flash and LinguaGacha

Organized and recorded ideas about mathematics, not guarantee correctness, readability, completeness of details, have guess without proof

If you are familiar with mathematics, you can look at feature and see what is better in this note compared to the mainstream treatment.

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