39 lines
1.0 KiB
Markdown
39 lines
1.0 KiB
Markdown
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# Notation and Abbreviations
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## Math notation:
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| Symbol | Meaning |
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| --- | --- |
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| $A$ | matrix |
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| $\eta$ | learning rate or step size |
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| $\Gamma$ | boundary of computational domain $\Omega$ |
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| $f()$ | approximated version of $f^{*}$ |
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| $f^{*}()$ | generic function to be approximated, typically unknown |
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| $\Omega$ | computational domain |
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| $\mathcal P$ | physical model, PDE |
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| $\theta$ | neural network params |
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| $t$ | time dimension |
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| $\mathbf{u}$ | vector-valued velocity |
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| $x$ | neural network input or spatial coordinate |
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| $y$ | neural network output |
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## Summary of the most important abbreviations:
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| ABbreviation | Meaning |
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| --- | --- |
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| CNN | Convolutional neural network |
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| DL | Deep learning |
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| NN | Neural network |
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| PBDL | Physics-based deep learning |
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% test table formatting in markdown
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% | | Sentence # | Word | POS | Tag |
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% |---:|:-------------|:-----------|:------|:------|
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% | 1 | Sentence: 1 | They | PRP | O |
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% | 2 | Sentence: 1 | marched | VBD | O |
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