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Spacetime and Relativity Summary

Fundamental Postulates and the Lorentz Transformation

Galilean relativity assumes time is invariant across different inertial reference frames. Special Relativity, however, assumes the speed of light $c$ is invariant in all inertial reference frames. It also assumes that spacetime is flat and isotropic, and the laws of physics are identical everywhere, implying no reference frame is absolute or special.

From these postulates, we derive the Lorentz transformation, which defines the coordinate mapping from a rest frame to a moving reference frame. For a frame moving in the $x$-direction with velocity $v$:

$$\begin{bmatrix}ct'\\x'\end{bmatrix}=\begin{bmatrix}\gamma&-\gamma\beta\\-\gamma\beta&\gamma\end{bmatrix}\begin{bmatrix}ct\\x\end{bmatrix}$$

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#!/bin/bash
# Modify your app.py to run on port 80 if you don't want to open up ports in Azure networking. You'll need sudo (as below) to run the flask server on port 80. Consider setting up an NGINX reverse proxy instead. Remove sudo in the crontab and install entries below if not using port 80.
# You'll also have to change the reset command to work with sudo too if using port 80: echo whateverpassword | sudo -S -u whateverusername screen -S screen_to_test -X quit

sudo apt update
sudo apt install -y python3-pip git-lfs ffmpeg python3-venv
pip install flask
sudo update-alternatives --install /usr/bin/python python /usr/bin/python3 10
mkdir sgtranscribe
mkdir livetranscribe

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#!/bin/bash

# Use with a command such as: (./main -m models/ggml-medium.bin -p 1 -t 8 -pc -f input.wav | ./ansi2html.sh > whisper.html && ./match_colors.sh whisper.html)
# The open and close parantheses in the command are important. 
# Assumes ansi2html.sh is in the same folder. ansi2html.sh is available here: https://github.com/pixelb/scripts/blob/master/scripts/ansi2html.sh & here: https://gist.github.com/regstuff/a9cb16df25c74d10608a6bff3a3df95d
# Will generate an ouput called whisper.html. That can be parsed and used for final transcript. All low-confidence i.e. red or orange printed colors are converted to a span class named red, which can be used for further css downstream
# This script assumes bc (Basic Calculator) is installed and available in your UNIX environment. It's a common calculator utility available on many Unix-like systems.

# Check for the presence of an input file argument
if [ "$#" -ne 1 ]; then

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#!/bin/sh

# Convert ANSI (terminal) colours and attributes to HTML

# Licence: LGPLv2
# Author:
#    http://www.pixelbeat.org/docs/terminal_colours/
# Examples:
#    ls -l --color=always | ansi2html.sh > ls.html
#    git show --color | ansi2html.sh > last_change.html

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From https://docs.google.com/document/d/1Nsv52MvSjbLb2PCpHlat0gkzw0EvtSgpKHu4mk0MnrA/
Save Page Now 2 Public API Docs Draft
Vangelis Banos, updated: 2022-04-05

Capture a web page as it appears now for use as a trusted citation in the future. Changelog: https://docs.google.com/document/d/19RJsRncGUw2qHqGGg9lqYZYf7KKXMDL1Mro5o1Qw6QI/edit#

Contents
Glossary	1
Basic API Reference	1
Capture request	1

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#!/bin/bash
# From https://github.com/LIAAD/yake#installing-docker
# Install dependencies
sudo apt-get update
sudo apt-get install \
    apt-transport-https \
    ca-certificates \
    curl \
    software-properties-common

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ffmpeg -i 1.wav -i 2.wav -i 3.wav -i 4.wav -i 5.wav -i 6.wav -i 7.wav -i 8.wav -i 9.wav -i 10.wav -i 11.wav -i 12.wav -i 13.wav -i 14.wav -i 15.wav -i 16.wav -filter_complex "[2:a][0:a][1:a][3:a][4:a][5:a][6:a][7:a][8:a][9:a][10:a][11:a][12:a][13:a][14:a][15:a]join=inputs=16:channel_layout=hexadecagonal[a]" -map "[a]" output.wav

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ffmpeg -i http://distribution.bbb3d.renderfarming.net/video/mp4/bbb_sunflower_1080p_30fps_normal.mp4 -filter_complex "[0:a]showfreqs=s=480x240[vv];[0:v][vv]overlay=x=0:y=(H-h)/2" -c:v libx264 -c:a aac -f mpegts - | ffplay -i -

ffmpeg -i http://distribution.bbb3d.renderfarming.net/video/mp4/bbb_sunflower_1080p_30fps_normal.mp4 -filter_complex "[0:a]showvolume=p=1,scale=480:240[vv];[0:v][vv]overlay=x=0:y=(H-h)/2" -c:v libx264 -c:a aac -f mpegts - | ffplay -i -

ffmpeg -i http://distribution.bbb3d.renderfarming.net/video/mp4/bbb_sunflower_1080p_30fps_normal.mp4 -filter_complex "[0:a]showspectrum=s=480x240:scale=log[vv];[0:v][vv]overlay=x=0:y=(H-h)/2" -c:v libx264 -c:a aac -f mpegts - | ffplay -i -

ffmpeg -i http://distribution.bbb3d.renderfarming.net/video/mp4/bbb_sunflower_1080p_30fps_normal.mp4 -filter_complex "[0:a]showcqt=s=480x240[vv];[0:v][vv]overlay=x=0:y=(H-h)/2" -c:v libx264 -c:a aac -f mpegts - | ffplay -i -

streamlink https://www.youtube.com/watch?v=dp5IuihmwhQ worst -O | ffmpeg -i pipe:0  -filter_

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<script type='text/javascript'>
var refreshJqlHistoryPane = function() {
    var localHistory = localStorage.getItem('jqlHistory');
    if(localHistory){
        var history = JSON.parse(localHistory);
        var historyEntries = history.map(function(jql){
            var display = jql;
            if(display.length > 25){
                display = display.substr(0,22) + "...";
            }

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:: doc2txt.bat
::
:: This batch file converts all the files in a folder to .txt,
:: as long as LibreOffice supports them (e.g. .doc, .docx, .odt)
::
:: 1. Make sure soffice.exe is in your PATH, e.g.
::    Edit Environment Variables, add New in user variables, and add C:\Program Files (x86)\LibreOffice 5\program
:: 2. Save this doc2txt.bat file to the folder alongside the files you want to convert.
:: 3. Make sure Libreoffice is not running. (A bug prevents soffice from working while Libreoffice is open.)
:: 4. Double-click doc2txt.bat.