test

Author: CarrieFilion

assets/css/main.css

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images/.DS_Store

@@ -33,7 +33,7 @@ <h1><a href="index.html"> The <strong>EXP</strong> Collaboration </a></h1>
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 							<h2> What is a basis function expansion? </h2>
 							<p> A basis function expansion (BFE) uses relatively simple equations to represent a more complex 
 								distribution. Each term in the expansion is given a weight such that the sum of the functions 
@@ -52,27 +52,42 @@ <h2> What is a basis function expansion? </h2>
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+							<h2>Why should I use basis function expansions?</h2>
+							<p> Basis function expansions (BFEs) provide a mathematical framework for interrogating and understanding 
+								complex systems. Through this framework, it is possible to discover the underlying dynamics within 
+								simulations that span the full gamut of complexity, ranging from idealized periodic boxes to large 
+								cosmological simulations. This framework provides natural ties to analytic theory as well as new 
+								supervised and unsupervised machine learning tools. One such tool is multi-channel Single Spectrum 
+								Analysis (mSSA), and examples of using mSSA + BFE for dynamical discovery can be seen in 
+								<a href="https://ui.adsabs.harvard.edu/abs/2021MNRAS.501.5408W/abstract">here</a> and 
+								<a href="https://ui.adsabs.harvard.edu/abs/2023MNRAS.521.1757J/abstract">here</a> (see also the 
+								<a href = "https://exp-docs.readthedocs.io/en/latest/topics/ssa.html">EXP readme</a>). 
+								A particularly powerful use of BFE is as a universal language to succinctly summarize the relevant 
+								dynamical information in galaxies for comparison across and between different simulations.</p>
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+							<h2>Basis Function Expansions for Cosmological Simulations</h2>
+							<p>Basis function expansions (BFEs) can be used as a post-processing analysis framework for cosmological simulations. 
+								With BFEs, you can analyze the dark matter halo of your favorite galaxy from any cosmological 
+								simulation to find wakes, dipoles, and more. You can also succinctly describe the stellar disk of
+								a galaxy, use the expansions to integrate orbits in the gravitational potential, and more. See some highlights 
+								of recent cosmological analyses below</p>
+							<p> Add a blurb of your paper here! </p>
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+							<h2>Basis Function Expansion for Analytic Theorists</h2>
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+							<h2></h2>
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+							<h2>Basis Function Expansions for N-body Dynamical Simulations</h2>
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