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refactor: complete Gold Standard audit for core foundation chapters; unify Volume 1 and Volume 2 math; verify physical realism of hardware constants

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Vijay Janapa Reddi
2026-02-25 08:31:21 -05:00
parent c990d0037e
commit 2de66f1c0f
9 changed files with 956 additions and 83 deletions
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10
tinytorch/src/01_tensor/01_tensor.py
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@@ -934,11 +934,11 @@ Flattened Image × Hidden Weights = Hidden Features
```
Matrix Multiplication Process:
A (2×3) B (3×2) C (2×2)
┌ ┐ ┌ ┐ ┌ ┐
│ 1 2 3 │ │ 7 8 │ │ 1×7+2×9+3×1 │ ┌ ┐
│ │ × │ 9 1 │ = │ │ = │ 28 16│
│ 4 5 6 │ │ 1 2 │ │ 4×7+5×9+6×1 │ │ 79 49│
└ ┘ └ ┘ └ ┘ └ ┘
┌ ┐ ┌ ┐ ┌ ┐
│ 1 2 3 │ │ 7 8 │ │ 1×7+2×9+3×1 1×8+2×1+3×2 │ ┌ ┐
│ │ × │ 9 1 │ = │ │ = │ 28 16 │
│ 4 5 6 │ │ 1 2 │ │ 4×7+5×9+6×1 4×8+5×1+6×2 │ │ 79 49 │
└ ┘ └ ┘ └ ┘ └ ┘
Computation Breakdown:
C[0,0] = A[0,:] · B[:,0] = [1,2,3] · [7,9,1] = 1×7 + 2×9 + 3×1 = 28