117 lines
2.7 KiB
Plaintext
117 lines
2.7 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "code",
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"execution_count": 2,
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"metadata": {
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"tags": []
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},
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"outputs": [],
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"source": [
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"%matplotlib inline\n",
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"\n",
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"from scipy.integrate import quad\n",
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"\n",
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"import numpy as np\n",
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"\n",
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"import PyCosmo"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 3,
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"metadata": {
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"tags": []
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},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"'2.1.1'"
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]
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},
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"execution_count": 3,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"PyCosmo.__version__"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"# 1. Wavenumber at equality\n",
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"1. Assume that around equality the dominant components are matter and radiation. Use the first Friedmann equation i.e.: \n",
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"\n",
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"\t\\begin{equation}\n",
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"\tH^2 = H_0^2[\\sum_i \\Omega_i a^{-3(1+w)}],\n",
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"\t\\end{equation}\n",
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" \n",
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" to calculate $a_{eq}$, $H(a_{eq})$ and therefore $k_{eq}$.\n",
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" \n",
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" How might you identify $k_{eq}$ in a cosmological observable? Can you make a plot which includes this scale using PyCosmo? Do yout think this has been observed in data?"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"# 2. Growth factor\n",
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"\n",
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"Here compute the growth factor for various cosmologies. The basic command in PyCosmo is shown below"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 10,
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"metadata": {
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"tags": []
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},
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"outputs": [
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{
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"ename": "SyntaxError",
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"evalue": "invalid syntax (4003919975.py, line 4)",
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"output_type": "error",
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"traceback": [
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"\u001b[0;36m Cell \u001b[0;32mIn[10], line 4\u001b[0;36m\u001b[0m\n\u001b[0;31m Cosmo.set(h=0.7, omega_b=, omega_m=)\u001b[0m\n\u001b[0m ^\u001b[0m\n\u001b[0;31mSyntaxError\u001b[0m\u001b[0;31m:\u001b[0m invalid syntax\n"
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]
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}
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],
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"source": [
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"# Define the Cosmology\n",
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"Cosmo = PyCosmo.build()\n",
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"#TODO: Set the parameters accordingly\n",
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"Cosmo.set(h=0.7, omega_b=, omega_m=)\n",
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"\n",
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"# Function to calculate the growth factor\n",
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"# uses the scaling parameter as input\n",
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"growth_factor = Cosmo.lin_pert.growth_a(a=...)"
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]
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}
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],
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"metadata": {
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"kernelspec": {
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"display_name": "Python 3 (ipykernel)",
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"language": "python",
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"name": "python3"
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},
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"language_info": {
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"codemirror_mode": {
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"name": "ipython",
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"version": 3
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},
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"file_extension": ".py",
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"mimetype": "text/x-python",
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"name": "python",
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"nbconvert_exporter": "python",
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"pygments_lexer": "ipython3",
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"version": "3.10.8"
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}
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},
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"nbformat": 4,
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"nbformat_minor": 4
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}
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