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some last changes to the talk
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11 changed files with 18 additions and 8 deletions
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@ -108,7 +108,7 @@ modification and has again been implemented and evaluated.
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\caption{\label{fig:distcos} The distribution \cref{eq:distcos} and an upper bound of
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\caption{\label{fig:distcos} The distribution \cref{eq:distcos} and an upper bound of
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the form \(a + b\cdot x^2\).}
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the form \(a + b\cdot x^2\).}
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\end{figure}
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\end{figure}
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%
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Using the upper bound defined in \cref{eq:primitiveg} with the
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Using the upper bound defined in \cref{eq:primitiveg} with the
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distribution for \(\cos\theta\) derived from the differential cross
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distribution for \(\cos\theta\) derived from the differential cross
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section \cref{eq:crossec} given in \cref{eq:distcos}
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section \cref{eq:crossec} given in \cref{eq:distcos}
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@ -357,3 +357,13 @@
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month = "5",
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month = "5",
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year = "2020"
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year = "2020"
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}
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}
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@misc{wiki:2020no,
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title = {{File:Normal Distribution CDF.svg - Wikimedia
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Commons}},
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year = {2020},
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month = {6},
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note = {[Online; accessed 29. Jun. 2020]},
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url =
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{https://commons.wikimedia.org/wiki/File:Normal_Distribution_CDF.svg}
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}
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@ -198,7 +198,7 @@ Let's plot a more detailed view of the xs.
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#+end_src
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#+end_src
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#+RESULTS:
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#+RESULTS:
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[[file:./.ob-jupyter/7466ab6e4dd5f81d66dae2e1ba4531efa6885336.png]]
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[[file:./.ob-jupyter/76fd6c12bbf149b4207309816f761bcdf5660044.png]]
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And now calculate the cross section in picobarn.
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And now calculate the cross section in picobarn.
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#+BEGIN_SRC jupyter-python :exports both :results raw file :file xs.tex
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#+BEGIN_SRC jupyter-python :exports both :results raw file :file xs.tex
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@ -225,7 +225,7 @@ Let's plot a more detailed view of the xs.
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#+end_src
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#+end_src
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#+RESULTS:
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#+RESULTS:
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[[file:./.ob-jupyter/4522eb3fbeaa14978f9838371acb0650910b8dbf.png]]
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[[file:./.ob-jupyter/6c11ca246186eeea4d83adbab28d2bac650d530e.png]]
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Compared to sherpa, it's pretty close.
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Compared to sherpa, it's pretty close.
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@ -259,7 +259,7 @@ Plot our nice distribution:
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#+end_src
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#+end_src
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#+RESULTS:
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#+RESULTS:
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[[file:./.ob-jupyter/37306932df4d28e56eff37c1b1dbe5efcf5f38c5.png]]
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[[file:./.ob-jupyter/75a16a47d4f49baccb809d925bbd349a36d945b6.png]]
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Define the integrand.
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Define the integrand.
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#+begin_src jupyter-python :exports both :results raw drawer
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#+begin_src jupyter-python :exports both :results raw drawer
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@ -287,7 +287,7 @@ Plot the integrand. # TODO: remove duplication
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vals.mean() + vals.std(),
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vals.mean() + vals.std(),
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alpha=0.1,
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alpha=0.1,
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color="red",
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color="red",
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label=r"$\sigma$",
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label=r"$\sigma$ (stddev)",
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)
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)
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ax.legend()
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ax.legend()
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ax.set_ylim([0, 0.09])
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ax.set_ylim([0, 0.09])
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@ -295,7 +295,7 @@ Plot the integrand. # TODO: remove duplication
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#+end_src
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#+end_src
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#+RESULTS:
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#+RESULTS:
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[[file:./.ob-jupyter/ae89081fd4dc96b3851ae0ed83ef1a8bf24957a3.png]]
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[[file:./.ob-jupyter/c6475d9a7ff68efac62047df38b6dff727b47ca1.png]]
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*** Integral over θ
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*** Integral over θ
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Intergrate σ with the mc method.
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Intergrate σ with the mc method.
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#+begin_src jupyter-python :exports both :results raw drawer
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#+begin_src jupyter-python :exports both :results raw drawer
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@ -332,7 +332,7 @@ Plot the intgrand of the pseudo rap.
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vals.mean() + vals.std(),
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vals.mean() + vals.std(),
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alpha=0.1,
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alpha=0.1,
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color="red",
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color="red",
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label=r"$\sigma$",
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label=r"$\sigma$ (stddev)",
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)
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)
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ax.legend()
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ax.legend()
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ax.set_ylim([0, 0.09])
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ax.set_ylim([0, 0.09])
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@ -343,7 +343,7 @@ Plot the intgrand of the pseudo rap.
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#+RESULTS:
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#+RESULTS:
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:RESULTS:
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:RESULTS:
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: 0.0022315324126441238
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: 0.0022315324126441238
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[[file:./.ob-jupyter/df9765373fa441d9bd5b8c72e4570b6e57a4efd1.png]]
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[[file:./.ob-jupyter/8dfec98a513c90cfa5ce0b0fa0c738990a00f545.png]]
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:END:
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:END:
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#+begin_src jupyter-python :exports both :results raw drawer
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#+begin_src jupyter-python :exports both :results raw drawer
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