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\documentclass[12pt,a4paper]{article} % -*- coding: utf-8 -*-
\usepackage[a4paper,margin=1.5cm]{geometry}
\usepackage[english]{babel}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{times}
\usepackage{amsmath}
\usepackage{amsfonts}
\usepackage{amssymb}
\usepackage{amsthm}
\documentclass[12pt,a4paper]{article} % -*- coding: utf-8 -*-
\usepackage[a4paper,margin=1.5cm]{geometry}
\usepackage[english]{babel}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{times}
\usepackage{amsmath}
\usepackage{amsfonts}
\usepackage{amssymb}
\usepackage{amsthm}
@Gro-Tsen
Gro-Tsen / taubNUT.m
Created September 30, 2024 09:55
Compute curvature of the Taub-NUT metric
rhosq = r^2 + nut^2
Deltasq = r^2 - 2 M r - nut^2
(* Covariant metric tensor (metric on vectors) *)
g = Simplify[{{-Deltasq/rhosq,0,0,-2 nut Cos[theta] Deltasq/rhosq},{0,rhosq/Deltasq,0,0},{0,0,rhosq,0},{-2 nut Cos[theta] Deltasq/rhosq,0,0,rhosq Sin[theta]^2 - 4 nut^2 Cos[theta]^2 Deltasq/rhosq}}]
(* Contravariant metric tensor (metric on covectors) *)
ginv = Simplify[Inverse[g]]
coords = {t,r,theta,phi}
@Gro-Tsen
Gro-Tsen / tarfilter.pl
Last active September 5, 2024 08:57
Filter selected files in a tar archive
#! /usr/local/bin/perl -w
## This program takes a GNU tar file and produces on the standard
## output another tar file that consists only of the files whose path
## (as stored in the archive) matches the specified pattern. No other
## treatment is performed and the output tar just consists of the
## matching bits of the input tar.
## Options are:
## -v : Print filenames on standard error as they are being treated.
#! /usr/local/bin/perl -w
use strict;
use warnings;
use utf8;
my %results;
my %lists;
my @revlists;
my $nblists = 0;
@Gro-Tsen
Gro-Tsen / desargues-labeled.svg
Last active May 14, 2024 10:15
PoV-ray illustration of the theorem of Desargues in 3D
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@Gro-Tsen
Gro-Tsen / communes.dat
Created April 27, 2024 18:13
Liste des communes de France avec coordonnées géographiques de leur barycentre et leur nom
This file has been truncated, but you can view the full file.
01001 46.153482/4.932753 L'Abergement-Clémenciat
01002 46.006821/5.427596 L'Abergement-de-Varey
01004 45.958184/5.374963 Ambérieu-en-Bugey
01005 45.995555/4.914269 Ambérieux-en-Dombes
01006 45.749037/5.593317 Ambléon
01007 46.002726/5.364199 Ambronay
01008 45.937040/5.331642 Ambutrix
01009 45.784362/5.655285 Andert-et-Condon
01010 45.909606/5.795569 Anglefort
01011 46.206625/5.656232 Apremont
#include <stdio.h>
#include <stdlib.h>
#include <math.h>
#include <time.h>
#ifndef M_PI
#define M_PI 3.14159265358979323846264338327950288419716939937511
#endif
#ifndef DEBUG
@Gro-Tsen
Gro-Tsen / num2english.pl
Created January 15, 2024 12:11
Numbers to text
#! /usr/local/bin/perl -w
# Convert a decimal number to its literal expression in English.
use strict;
use warnings;
use Getopt::Std;
my %opts;
getopts("u", \%opts);
@Gro-Tsen
Gro-Tsen / draw-binary-tree.pl
Created December 23, 2023 12:07
Draw the Stern-Brocot or dyadic tree
#! /usr/local/bin/perl -w
# Generate a graphical representation of either the Stern-Brocot or
# (with option -d) the dyadic tree on the interval [0,1].
# -- David A. Madore <http://www.madore.org/~david/> 2023-12-23
# Public Domain
use strict;
use warnings;