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Rendered TeX expressions in d607347
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texify[bot] authored Dec 17, 2019
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8 changes: 4 additions & 4 deletions examples/dynamic/project/README.md
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Expand Up @@ -45,13 +45,13 @@ according to Pontryagins Maximum principle, if we consider :

<p align="center"><img src="/examples/dynamic/project/tex/0123cb69d017e6328ec866dd8ea34393.svg?invert_in_darkmode&sanitize=true" align=middle width=631.3636725pt height=137.80322325pt/></p>

When <img src="/examples/dynamic/project/tex/ed6ccff2a53f69f4c96dce6a9fc774d4.svg?invert_in_darkmode&sanitize=true" align=middle width=212.30146904999998pt height=22.831056599999986pt/>, the results are:
When <img src="/examples/dynamic/project/tex/ed6ccff2a53f69f4c96dce6a9fc774d4.svg?invert_in_darkmode&sanitize=true" align=middle width=212.30146904999998pt height=22.831056599999986pt/>, the value of the costate vector at 0, <img src="/examples/dynamic/project/tex/8d54550f8c3f314c8645aa4db192e631.svg?invert_in_darkmode&sanitize=true" align=middle width=60.62598794999999pt height=33.305929799999994pt/>, is <img src="/examples/dynamic/project/tex/b0a45c0329676a48b17dfdfcdf0bd3aa.svg?invert_in_darkmode&sanitize=true" align=middle width=136.9867257pt height=24.65753399999998pt/>.

The value of the costate vector at 0, <img src="/examples/dynamic/project/tex/8d54550f8c3f314c8645aa4db192e631.svg?invert_in_darkmode&sanitize=true" align=middle width=60.62598794999999pt height=33.305929799999994pt/>, is:
When <img src="/examples/dynamic/project/tex/8ab74d51f506ab3d319edfc456af1e16.svg?invert_in_darkmode&sanitize=true" align=middle width=228.73988774999995pt height=22.831056599999986pt/>, the value of the costate vector at 0, <img src="/examples/dynamic/project/tex/8d54550f8c3f314c8645aa4db192e631.svg?invert_in_darkmode&sanitize=true" align=middle width=60.62598794999999pt height=33.305929799999994pt/>, is <img src="/examples/dynamic/project/tex/e024497239b0e3e8f9e7636c776e2910.svg?invert_in_darkmode&sanitize=true" align=middle width=136.9867257pt height=24.65753399999998pt/>.

When <img src="/examples/dynamic/project/tex/8ab74d51f506ab3d319edfc456af1e16.svg?invert_in_darkmode&sanitize=true" align=middle width=228.73988774999995pt height=22.831056599999986pt/>, the results are:
The two results can be visualized by the figure 1:

The value of the costate vector at 0, <img src="/examples/dynamic/project/tex/8d54550f8c3f314c8645aa4db192e631.svg?invert_in_darkmode&sanitize=true" align=middle width=60.62598794999999pt height=33.305929799999994pt/>, is:
![](/images/dynamic_1.png)

### Vertical Force and Costate Vector

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38 changes: 38 additions & 0 deletions examples/dynamic/project/tex/b0a45c0329676a48b17dfdfcdf0bd3aa.svg
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