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    1. Combustion01

      MOSIAC

      Live: configuring and running a real H2/O2 Nominal Simulation

    2. Combustion02

      MOSIAC

      Live: Ignition-Delay Sensitivity, configured and run

    3. Uncertainty03

      MUQ-SAC — Joint Arrhenius Uncertainty Quantification

      Class A sampling: kappa scale, real UQ limits, fit quality per sample

    4. Uncertainty04

      MUQ-SAC — Joint Arrhenius Uncertainty Quantification

      Class C sampling: kappa scale, real UQ limits, fit quality per sample

    5. Uncertainty05

      MUQ-SAC — Joint Arrhenius Uncertainty Quantification

      Class D sampling: kappa scale, real UQ limits, fit quality per sample

    6. Uncertainty06

      MUQ-SAC — Joint Arrhenius Uncertainty Quantification

      Class B sampling: kappa scale, real UQ limits, fit quality per sample

    7. Uncertainty07

      MUQ-SAC — Joint Arrhenius Uncertainty Quantification

      All four sampling-method classes, live, one frame

    8. Scientific ML08

      Neural ODEs and Transformations — A Self-Built Course

      S001 What a Function Does to Space

    9. Scientific ML09

      Neural ODEs and Transformations — A Self-Built Course

      S002 Smooth, Continuous, Invertible

    10. Scientific ML10

      Neural ODEs and Transformations — A Self-Built Course

      S003 Topological Invariants

    11. Scientific ML11

      Neural ODEs and Transformations — A Self-Built Course

      S004 Elementary Scalar Transforms

    12. Scientific ML12

      Neural ODEs and Transformations — A Self-Built Course

      S005 Exp, Log and the Log-Scaler

    13. Scientific ML13

      Neural ODEs and Transformations — A Self-Built Course

      S006 Statistical Transforms

    14. Scientific ML14

      Neural ODEs and Transformations — A Self-Built Course

      S007 Trig and Hyperbolic Transforms

    15. Scientific ML15

      Neural ODEs and Transformations — A Self-Built Course

      S008 Polar, Cylindrical, Spherical

    16. Scientific ML16

      Neural ODEs and Transformations — A Self-Built Course

      S009 Curvilinear Coordinates

    17. Scientific ML17

      Neural ODEs and Transformations — A Self-Built Course

      S010 Linear Maps

    18. Scientific ML18

      Neural ODEs and Transformations — A Self-Built Course

      S011 Homogeneous and Mobius Maps

    19. Scientific ML19

      Neural ODEs and Transformations — A Self-Built Course

      S012 Polynomial Bases

    20. Scientific ML20

      Neural ODEs and Transformations — A Self-Built Course

      S013 Fourier and the DFT

    21. Scientific ML21

      Neural ODEs and Transformations — A Self-Built Course

      S014 Laplace and Resolvents

    22. Scientific ML22

      Neural ODEs and Transformations — A Self-Built Course

      S015 Wavelets

    23. Scientific ML23

      Neural ODEs and Transformations — A Self-Built Course

      S016 PCA and Whitening

    24. Scientific ML24

      Neural ODEs and Transformations — A Self-Built Course

      S017 Activation Functions

    25. Scientific ML25

      Neural ODEs and Transformations — A Self-Built Course

      S018 Auditing a Transformation

    26. Scientific ML26

      Neural ODEs and Transformations — A Self-Built Course

      S019 ODEs and Vector Fields

    27. Scientific ML27

      Neural ODEs and Transformations — A Self-Built Course

      S020 Picard and Gronwall

    28. Scientific ML28

      Neural ODEs and Transformations — A Self-Built Course

      S021 Linearization and Phase Portraits

    29. Scientific ML29

      Neural ODEs and Transformations — A Self-Built Course

      S022 Stiffness and Arrhenius

    30. Scientific ML30

      Neural ODEs and Transformations — A Self-Built Course

      S023 Forward Euler: Step Halving

    31. Scientific ML31

      Neural ODEs and Transformations — A Self-Built Course

      S023 Forward Euler: Stability Blow-up

    32. Scientific ML32

      Neural ODEs and Transformations — A Self-Built Course

      S024 RK4 Stages as Slope Arrows

    33. Scientific ML33

      Neural ODEs and Transformations — A Self-Built Course

      S025 Absolute Stability Sweep

    34. Scientific ML34

      Neural ODEs and Transformations — A Self-Built Course

      S026 Newton Inside a Backward Euler Step

    35. Scientific ML35

      Neural ODEs and Transformations — A Self-Built Course

      S026 BDF Steps on the ROBER Simplex

    36. Scientific ML36

      Neural ODEs and Transformations — A Self-Built Course

      S027 Adaptive Step Size Chasing Ignition

    37. Scientific ML37

      Neural ODEs and Transformations — A Self-Built Course

      S028 Affine Normalization as Raw Reweighting

    38. Scientific ML38

      Neural ODEs and Transformations — A Self-Built Course

      S029 SGD and Adam in Raw and Normalized Coordinates

    39. Scientific ML39

      Neural ODEs and Transformations — A Self-Built Course

      S030 Log-Scaler Dead Zone: clamp_min against add_eps

    40. Scientific ML40

      Neural ODEs and Transformations — A Self-Built Course

      S031 The Price of Eigenvalue Compression

    41. Scientific ML41

      Neural ODEs and Transformations — A Self-Built Course

      S032 Gradient Flow Across Depth as the Gain Sweeps

    42. Scientific ML42

      Neural ODEs and Transformations — A Self-Built Course

      S033 Depth as Time: Residual Blocks Against the Flow

    43. Scientific ML43

      Neural ODEs and Transformations — A Self-Built Course

      S034 Neural ODE Training Trajectories

    44. Scientific ML44

      Neural ODEs and Transformations — A Self-Built Course

      S035 Re-integrating the State Backwards

    45. Scientific ML45

      Neural ODEs and Transformations — A Self-Built Course

      S036 Two routes to the gradient: the mismatch shrinks with the step

    46. Scientific ML46

      Neural ODEs and Transformations — A Self-Built Course

      S037 Augmented Neural ODE: Rings Flow

    47. Scientific ML47

      Neural ODEs and Transformations — A Self-Built Course

      S038 Regularizing Neural ODE dynamics: paths straighten as the Jacobian weight grows

    48. Scientific ML48

      Neural ODEs and Transformations — A Self-Built Course

      S039 Stiff Neural ODE on ROBER: training with backward Euler in the loop

    49. Scientific ML49

      Neural ODEs and Transformations — A Self-Built Course

      S040 ChemNODE-style training on H2/air autoignition: a held-out condition

    50. Scientific ML50

      Neural ODEs and Transformations — A Self-Built Course

      S041 Single shooting flattens out; multiple shooting follows the oscillation

    51. Scientific ML51

      Neural ODEs and Transformations — A Self-Built Course

      S042 A learned flow map rolled out on a held-out ignition

    52. Scientific ML52

      Neural ODEs and Transformations — A Self-Built Course

      S043 Hölder means: which channel the gradient pushes on as the exponent changes

    53. Scientific ML53

      Neural ODEs and Transformations — A Self-Built Course

      S044 A model of OH with a Sobolev term: value, time derivative and gradient share through training

    54. Scientific ML54

      Neural ODEs and Transformations — A Self-Built Course

      S045 The Mahalanobis ellipse of two correlated errors as the shrinkage is removed

    55. Scientific ML55

      Neural ODEs and Transformations — A Self-Built Course

      S046 Re-drawing a split until it looks good: what a gate would report

    56. Scientific ML56

      Neural ODEs and Transformations — A Self-Built Course

      S047 A continuous normalizing flow carries a Gaussian to the two-moons data

    57. Scientific ML57

      Neural ODEs and Transformations — A Self-Built Course

      S048 160 starting points fall onto the slow manifold of the Davis-Skodje model

    58. Scientific ML58

      Neural ODEs and Transformations — A Self-Built Course

      S049 Sparse regression: the threshold sweeps from 12 terms to the exact 8-term support

    59. Scientific ML59

      Neural ODEs and Transformations — A Self-Built Course

      S050 The nine Jacobian eigenvalues of a hydrogen/air ignition against the RK4 stability region

    60. Scientific ML60

      Neural ODEs and Transformations — A Self-Built Course

      S051 The decoded temperature of a held-out ignition during training in four state charts

    61. Scientific ML61

      Neural ODEs and Transformations — A Self-Built Course

      S052 72 training runs through a pilot check: who passes at each epoch, and who ends well

    62. CFD62

      Turbulence Closures — From Mixing Length to Data-Driven RANS

      Turbulence video: freely-decaying 2D vorticity field evolution

    63. CFD63

      Turbulence Closures — From Mixing Length to Data-Driven RANS

      Instrument Panel: synchronized field/spectrum/time-series dashboard (invented technique)

    64. CFD64

      Turbulence Closures — From Mixing Length to Data-Driven RANS

      Scale Telescope: sweeping a band-pass window through wavenumber space (invented technique)

    65. CFD65

      Turbulence Closures — From Mixing Length to Data-Driven RANS

      Closure Divergence Theatre: two SGS models, identical initial condition, watched diverging (invented technique)

    66. CFD66

      Turbulence Closures — From Mixing Length to Data-Driven RANS

      Backscatter Flash Map: spatial structure of upscale energy transfer (invented technique)

    67. CFD67

      Turbulence Closures — From Mixing Length to Data-Driven RANS

      Pipeline.Animation: a movie declared, not hand-scripted

    68. CFD68

      Turbulence Closures — From Mixing Length to Data-Driven RANS

      Bluff-body wake: vorticity animation

    69. Experimental69

      flamelab

      Flickering-onset transition (detected contour overlay)

    70. Experimental70

      flamelab

      Periodic flickering (detected contour overlay)

    71. Experimental71

      flamelab

      Real-time seismograph (onset window)

    72. Experimental72

      flamelab

      Zonal seismograph — all four regimes (MVI_8036)

    73. Experimental73

      flamelab

      Zonal seismograph — flickering-onset transition (MVI_8036)

    74. Experimental74

      flamelab

      Zonal seismograph — ignition transient (MVI_8036)

    75. Experimental75

      flamelab

      Zonal seismograph — all four regimes (MVI_8037)

    76. Experimental76

      flamelab

      Zonal seismograph — all four regimes (MVI_8041)

    77. Experimental77

      flamelab

      Real-time seismograph, developed window (MVI_8037)

    78. Experimental78

      flamelab

      Periodic flickering, detected contour (MVI_8041)

    79. Experimental79

      flamelab

      Ignition transient, detected contour (MVI_8049)

    80. Experimental80

      flamelab

      All four regimes at once -- multi-location width tracking, one frame

    81. Experimental81

      flamelab

      Aliasing: a 14 Hz flame at 23.976 fps

    82. Experimental82

      flamelab

      Veiling glare and the threshold

    83. Experimental83

      flamelab

      Sub-pixel edge detection

    84. Experimental84

      flamelab

      Kymograph: stripe slope is convection speed

    85. Experimental85

      flamelab

      Flame height versus heat release

    86. Experimental86

      flamelab

      Onset of puffing: Hopf bifurcation

    87. Experimental87

      flamelab

      Inverse Abel transform by onion peeling

    88. Experimental88

      flamelab

      Detecting the onset with a sliding window

    89. Experimental89

      flamelab

      Stitching video parts into one stream

    90. Optimization90

      dokimazo — A PIDO Optimization Workbench

      Conformer search optimization process — n-dodecane relaxing toward its lowest-energy shape

    91. Optimization91

      dokimazo — A PIDO Optimization Workbench

      Five solvers racing to the Rosenbrock minimum, same evaluation budget

    92. Optimization92

      dokimazo — A PIDO Optimization Workbench

      The same five solvers on Rastrigin, a highly multimodal landscape

    93. Optimization93

      dokimazo — A PIDO Optimization Workbench

      Search trajectory over a genuine 3-decision-variable problem

    94. Optimization94

      dokimazo — A PIDO Optimization Workbench

      Rosenbrock: watch the search itself, not a spinning camera

    95. Optimization95

      dokimazo — A PIDO Optimization Workbench

      Himmelblau: the same search, four equal minima to choose from

    96. Optimization96

      dokimazo — A PIDO Optimization Workbench

      The vine mark: "I am the vine, you are the branches" (John 15:5) as a real topology optimization

    97. Optimization97

      dokimazo — A PIDO Optimization Workbench

      "Tested by fire" (1 Peter 1:7): a real constrained combustion optimization

    98. Optimization98

      dokimazo — A PIDO Optimization Workbench

      Rectangle to airfoil: a real free-form camber-shape optimization, gradient-driven

    99. Visualization99

      Math Visual Studio

      Manim render: shells with a hole, strips thinning to the integral

    100. Visualization00

      Math Visual Studio

      Recording from the Studio: Deform & Hair, wavy hair preset