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Update README.md
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DimitriAlston committed Nov 7, 2023
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```@raw html
<img src="https://github.com/PSORLab/EAGO.jl/blob/master/docs/src/assets/logo.png" width="75%" height="75%"/>
```

# EAGO - Easy Advanced Global Optimization

Expand Down Expand Up @@ -31,9 +33,16 @@ f^{*} = & \min_{\mathbf y \in Y \subset \mathbb R^{n_{y}}} f(\mathbf y) \\
```

For each nonlinear term, EAGO makes use of factorable representations to
construct bounds and relaxations. In the case of $f(x) = x (x - 5) \sin(x)$, a
list is generated and rules for constructing McCormick relaxations are used to
formulate relaxations in the original decision space, $X$ [1]:
construct bounds and relaxations.

For example, given the function

```math
f(x) = x (x - 5) \sin(x),
```

a list is generated and rules for constructing McCormick relaxations are used
to formulate relaxations in the original decision space, $X$ [1]:

```math
\begin{aligned}
Expand All @@ -46,9 +55,11 @@ f(x) & = v_{5} \\
\end{aligned}
```

```@raw html
<p align="center">
<img src="https://github.com/PSORLab/EAGO.jl/blob/master/docs/src/mccormick/Figure_1.png" width="60%" height="60%"/>
</p>
```

Either these original relaxations, differentiable McCormick relaxations [2], or
affine relaxations thereof can be used to construct relaxations of optimization
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