Tensor Physics for Deep Learning

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ujava.org workshop: Tensor Physics for Deep Learning. speaker is Shindong Kang of www.idosi.com

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Tensor Physics for Deep Learning

  1. 1. Tensor Physics for Deep Learning ujava.org Workshop 2015-04-26 www.idosi.com CEO 강신동 Shindong KANG (주)지능도시
  2. 2. www.idosi.comujava.org
  3. 3. www.idosi.comspaceapi.org
  4. 4. Differential Equation F = ma F = mg (g=9.8m/sec2, 10m/sec2) ma = mg a = g y'' = g y'' – g = 0
  5. 5. Differential Equation
  6. 6. www.idosi.comGeometry
  7. 7. www.idosi.comEuclidean Geometry
  8. 8. www.idosi.comRiemannian Geometry
  9. 9. www.idosi.comNumber Dragon Balls Pigs
  10. 10. www.idosi.comNumber Line SET 2 = 1 + 1 3 = 1 + 1 + 1 3 = 2 + 1 100 = 1+1+...+1 100 = 99 + 1
  11. 11. www.idosi.comPoint Position
  12. 12. www.idosi.comVector
  13. 13. www.idosi.comLinearity
  14. 14. www.idosi.comRelative Coordinates Systems
  15. 15. www.idosi.comRelative Coordinates Systems
  16. 16. www.idosi.comScalars and Vectors
  17. 17. www.idosi.comDimension
  18. 18. www.idosi.comCartesian Coordinates
  19. 19. www.idosi.comCartesian Coordinates
  20. 20. www.idosi.comPolar Coordinates
  21. 21. www.idosi.comCylinderical Coordinates
  22. 22. www.idosi.comSpherical Coordinates
  23. 23. www.idosi.comToroidal Coordinates
  24. 24. www.idosi.comSlope
  25. 25. www.idosi.comSlope 1
  26. 26. www.idosi.comSlope 1 2
  27. 27. www.idosi.comSlope 1 2 10
  28. 28. www.idosi.comVelocity mm/picosec km/hr m/sec
  29. 29. www.idosi.comInertia
  30. 30. www.idosi.comGravity & Straight Line
  31. 31. www.idosi.comTime & Space 2 cm
  32. 32. www.idosi.comFree Axes
  33. 33. www.idosi.comField Field
  34. 34. www.idosi.comScalar Field
  35. 35. www.idosi.comScalar Field
  36. 36. www.idosi.comScalar 3D Field
  37. 37. www.idosi.comVector Field
  38. 38. www.idosi.comVector Field 3D
  39. 39. www.idosi.comStress Tensor Field 3D
  40. 40. www.idosi.comTensor Field 3D
  41. 41. www.idosi.comVector & Coordinates Transform Vector & Coordinates Transform
  42. 42. www.idosi.comHeat Transfer
  43. 43. www.idosi.comFluid Dynamics
  44. 44. www.idosi.comBasis Vectors
  45. 45. www.idosi.comBasis Vectors 1. Linear Combination 2. Linear Independent Vector set = basis Vector space dimension = basis vector count
  46. 46. www.idosi.comCNN
  47. 47. www.idosi.comEinstein Summation Convention
  48. 48. www.idosi.comMathematical expression LaTex
  49. 49. www.idosi.comOblique Coordinates
  50. 50. www.idosi.comVector Addition
  51. 51. www.idosi.comVector Addition with Parallel Projection Contravariable Covariant
  52. 52. www.idosi.comCoordinates Transform
  53. 53. www.idosi.com3D Coordinates
  54. 54. www.idosi.comContravariant & Covariant
  55. 55. www.idosi.comCurvilinear coordinate system
  56. 56. www.idosi.comDot Product (Inner Product) with basis vector
  57. 57. www.idosi.comDot Product (Inner Product)
  58. 58. www.idosi.comDot Product (Inner Product)
  59. 59. www.idosi.comVector Dot Product Physics
  60. 60. www.idosi.comCross Product (Outer Product)
  61. 61. www.idosi.comCrocess Product & Physical mean
  62. 62. www.idosi.comTorque Cross Product
  63. 63. www.idosi.comPrecession with Cross Product
  64. 64. www.idosi.comPrecession
  65. 65. www.idosi.comTensor Tensor
  66. 66. www.idosi.comRank 0 : Scalar
  67. 67. www.idosi.comRank 1 : Vector
  68. 68. www.idosi.comDimension & Physical Quantity n Dimension 1, 2, 3, 4, ... 1 1, 4, 9, 16, ...
  69. 69. www.idosi.comRank 2 : Tensor
  70. 70. www.idosi.comRank N : Tensor
  71. 71. www.idosi.comHigh Dimension Vector & Low Dimension Tensor 10 Dimension Vector Rank 1 Tensor (1,2,3,4,5,6,7,8,9,10) 3 Dimension Stress Rank 2 Tensor
  72. 72. www.idosi.comTensor Contraction
  73. 73. www.idosi.comTensor Physics Tensor Physics
  74. 74. www.idosi.comNewton's Laws of Motion
  75. 75. www.idosi.comDriving Force
  76. 76. www.idosi.comForce of Point
  77. 77. www.idosi.comForce of Line
  78. 78. www.idosi.comForce of Area
  79. 79. www.idosi.comHoney
  80. 80. www.idosi.comForce of Cubic
  81. 81. www.idosi.comStress
  82. 82. www.idosi.comNewtonian Fluid
  83. 83. www.idosi.comNon-Newtonian Fluid
  84. 84. www.idosi.comViscoelasticity
  85. 85. Thank you ! (주)지능도시 Intelligent City Ltd. 강신동 Shindong KANG www.idosi.com ceo@idosi.com

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