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notation.md

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