ddd/bachelor-prep-presentation
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Add ✨ colors ✨

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prescientmoon 2025-03-21 13:23:14 +01:00
parent afb80f7fb2
commit 0ccc245f82
Signed by: prescientmoon
SSH key fingerprint: SHA256:UUF9JT2s8Xfyv76b8ZuVL7XrmimH4o49p4b+iexbVH4
2 changed files with 5 additions and 5 deletions

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main.pdf
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main.tex
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@ -22,9 +22,9 @@
\DeclareMathOperator{\lensop}{L}
\DeclareMathOperator{\rotmatop}{R}
\DeclareMathOperator{\soop}{SO}
\newcommand*{\lens}[2]{\lensop\left(#1,#2\right)} %
\newcommand*{\lens}[2]{\textcolor{darkyellow}{\lensop\left(\textcolor{black}{#1},\textcolor{black}{#2}\right)}} %
\newcommand*{\so}[1]{\soop\left(#1\right)}
\newcommand*{\rotmat}[1]{\rotmatop\left(#1\right)}
\newcommand*{\rotmat}[1]{\textcolor{red}{\rotmatop\left(\textcolor{black}{#1}\right)}}
\renewcommand{\S}{\mathbb{S}}
\newcommand{\R}{\mathbb{R}}
@ -63,6 +63,7 @@ code-for-last-col = \color{blue}
\setbeamercolor{titlebox}{fg=black,bg=white}
\definecolor{silver}{RGB}{192, 192, 192}
\definecolor{darkyellow}{RGB}{186, 142, 35}
\begin{document}
@ -136,14 +137,13 @@ code-for-last-col = \color{blue}
\begin{frame}{Inhomogeneous spherical space}
\begin{itemize}
\item Manifolds of the form $\S^3/\Gamma$ with $\Gamma$ a group acting on $\S^3$.
\item Multi-connected space: it has non-contractable loops.
\item Inhomogeneous space: it does not look identical from every point in space.
\pause
\item Fixing $|\Gamma|=8$, we have three multi-connected manifolds, up to equivalence: \pause
\begin{enumerate}
\item homogeneous: $N3$ and $L(8,1)$.
\item inhomogeneous: $N2 \equiv L(8,3)$.
\item homogeneous: $N3$ and $\lens 8 1 $.
\item inhomogeneous: $N2 \equiv \lens 8 3 $.
\end{enumerate}
\pause
\item Results: inhomogeneous spaces have more variety in the CMB anisotropies than homogeneous spaces, because the strength of anisotropy suppression is observer dependent.