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overview.md
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@@ -2,7 +2,7 @@ Overview
============================
The name of this book, _Physics-Based Deep Learning_,
denotes combiniations of physical modeling and numerical simulations with
denotes combinations of physical modeling and numerical simulations with
methods based on artificial neural networks.
The general direction of Physics-Based Deep Learning represents a very
active, quickly growing and exciting field of research, and the following chapter will
@@ -25,7 +25,7 @@ From weather and climate forecasts {cite}`stocker2014climate` (see the picture a
over quantum physics {cite}`o2016scalable`,
to the control of plasma fusion {cite}`maingi2019fesreport`,
using numerical analysis to obtain solutions for physical models has
become an integral part of science.
become an integral part of science.
At the same time, machine learning technologies and deep neural networks in particular,
have led to impressive achievements in a variety of fields: