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      <title>NumPy Broadcasting 實戰：Shape、索引、Mask 與維度對齊</title>
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dedup note: The current inventory has no NumPy fundamentals article. ../python-pytorch-nn/ only introduces tensors and reshape, ../python-mlx/ compares MLX arrays with NumPy at a high level, and ../python-numerical-integral/ uses NumPy for numerical integration. This article instead teaches ndarray shape reasoning, basic versus advanced indexing, boolean masks, broadcasting rules, singleton axes, keepdims, and systematic shape-error debugging.
source check: Reviewed against the current official NumPy user guide on 2026-09-04, especially the broadcasting, indexing, expand_dims, copies/views, and ufunc documentation.
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