pbdl-book/notation.md

Notation and Abbreviations

Math notation:

Symbol	Meaning
A	matrix
\eta	learning rate or step size
\Gamma	boundary of computational domain \Omega
f^{*}()	generic function to be approximated, typically unknown
f()	approximate version of f^{*}
\Omega	computational domain
\mathcal P^*	continuous/ideal physical model
\mathcal P	discretized 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

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