latex-setup

My personal LaTeX setup 🦁️⚙️

git clone: git://git.pablopie.xyz/latex-setup
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Commit: 4857371dbf5b38522b422ef5fa813329768b18cd
Parent: 767423e07eeb26015ee810fd2b085f0532203db6
Author: Pablo <pablo-escobar@riseup.net>
Date: Sat, 27 Mar 2021 16:14:12 +0000

Fixed some of the TikZ drawings

Diffstat

26 files changed, 88 insertions, 1415 deletions

Status	File Name	N° Changes	Insertions	Deletions
Modified	images/26-nodes-diagram.tikz	1	1	0
Modified	images/complex-surreal-venn.tikz	11	6	5
Modified	images/coxerter-group-reflections.tikz	1	1	0
Modified	images/dihedral-representation-is-irreducible.tikz	1	1	0
Modified	images/dihedral-representation.tikz	1	1	0
Modified	images/euclidian-plane.tikz	1	1	0
Modified	images/galois-lattice-antisomorphism.tikz	18	9	9
Modified	images/geodesic.tikz	1	1	0
Modified	images/hyperbolic-plane-disc.tikz	1	1	0
Modified	images/k4.tikz	1	1	0
Modified	images/natural-number-line.tikz	1	1	0
Modified	images/ordinal-number-line.tikz	1	1	0
Modified	images/projective-system-universal-property.tikz	1	1	0
Modified	images/projective-system.tikz	1	1	0
Modified	images/quaternion-rotation.tikz	1	1	0
Modified	images/real-number-line.tikz	1	1	0
Modified	images/real-ordinal-surreal-venn.tikz	1	1	0
Modified	images/riemannian-metric.tikz	1	1	0
Modified	images/smooth-function.tikz	17	13	4
Modified	images/smooth-manifold.tikz	6	5	1
Modified	images/sphere-quotient.tikz	69	35	34
Modified	images/sphere.tikz	1	1	0
Deleted	images/sporadic-groups.svg	1362	0	1362
Modified	images/standard-sets-venn.tikz	1	1	0
Modified	images/unit-circle-covering.tikz	1	1	0
Modified	images/unit-circle.tikz	1	1	0

diff --git a/images/26-nodes-diagram.tikz b/images/26-nodes-diagram.tikz
@@ -1,4 +1,5 @@
 % This picture represents the 26-nodes diagram
+% Copyright Pablo (C) 2021
 \begin{tikzpicture}
     % Draw the nodes
     \foreach \i in {1,2,3,4,5,6,7,8,9,10,11,12,13}

diff --git a/images/complex-surreal-venn.tikz b/images/complex-surreal-venn.tikz
@@ -1,15 +1,16 @@
 % This picture represents the relationshipt between the real, complex and
 % surreal numbers
+% Copyright Pablo (C) 2021
 \begin{tikzpicture}
   % The reals
-  \draw (0.75,0) node{\(\RR\)}
-  (0,0) circle (1.5);
+  \draw (0.75, 0) node{$\mathbb{R}$}
+        (   0, 0) circle (1.5);
 
   % The complex numbers
-  \draw (-1.5,0) node[left]{\(\CC\)}
-  (1.5,0) circle (1.5);
+  \draw (-1.5, 0) node[left]{$\mathbb{C}$}
+        ( 1.5, 0) circle (1.5);
 
   % The surreal numbers
-  \draw (3,0) node[right]{\No};
+  \draw (3,0) node[right]{$\mathbf{No}$};
 \end{tikzpicture}

diff --git a/images/coxerter-group-reflections.tikz b/images/coxerter-group-reflections.tikz
@@ -1,6 +1,7 @@
 % This picture represents the action of the action of the generators of the
 % Coxerter group of the complete graph of four vertices corresponding to the
 % nodes in a maximal free 3-gon
+% Copyright Pablo (C) 2021
 \begin{tikzpicture}[scale=.85]
     \draw (-1.17265, 0) -- (4, 0) node[above]{$a$};

diff --git a/images/dihedral-representation-is-irreducible.tikz b/images/dihedral-representation-is-irreducible.tikz
@@ -1,5 +1,6 @@
 % An ilustration of the proof that the representation of the Dihidral group is
 % irreducible
+% Copyright Pablo (C) 2021
 \begin{tikzpicture}[scale=1.2]
     % The axis
     \draw[->] (-1,0)--(3,0) node[right]{$x$};

diff --git a/images/dihedral-representation.tikz b/images/dihedral-representation.tikz
@@ -1,4 +1,5 @@
 % This picture represents the action of the dihedral group in the real plain
+% Copyright Pablo (C) 2021
 \begin{tikzpicture}
   % The axis
   \draw[->] (-3,0)--(3,0) node[right]{$x$};

diff --git a/images/euclidian-plane.tikz b/images/euclidian-plane.tikz
@@ -1,4 +1,5 @@
 % This picture represents the cartesian plain
+% Copyright Pablo (C) 2021
 \begin{tikzpicture}
     \draw (0, 0) node[left]{$\mathbb{R}^2$} -- 
           (2, 0) --

diff --git a/images/galois-lattice-antisomorphism.tikz b/images/galois-lattice-antisomorphism.tikz
@@ -1,18 +1,18 @@
 % This picture represents the lattice antisomorphism between the lattice of the 
 % subgroups of the Galois group of a Galois extension and the lattice of
 % intermediary subfields of such extension.
-% 
-% NOTE: This diagram requires the xalgebra package (for \Gal and \mfrac)
+% Copyright Pablo (C) 2021
 \begin{tikzpicture}[ampersand replacement=\&]
   % The elements of both lattices
   \matrix(m)[matrix of math nodes,row sep=2em,column sep=2em,minimum width=2em]
-  {     \&             K \&     \&                    \{e\} \&     \\
-        \& L_1 \cdot L_2 \&     \&             H_1 \cap H_2 \&     \\
-    L_1 \&               \& H_1 \&                          \&     \\
-        \&               \& L_2 \&                          \& H_2 \\
-        \&  L_1 \cap L_2 \&     \& \langle H_1, H_2 \rangle \&     \\
-        \&             k \&     \&       \Gal(\mfrac{K}{k}) \&     \\
-    };
+  {     
+    \& K \& \& \{e\} \& \\
+    \& L_1 \cdot L_2 \& \& H_1 \cap H_2 \& \\
+    L_1 \& \& H_1 \& \& \\
+    \& \& L_2 \& \& H_2 \\
+    \& L_1 \cap L_2 \& \& \langle H_1, H_2 \rangle \& \\
+    \& k \& \& \operatorname{Gal}(\mathlarger{\sfrac{K}{k}}) \& \\
+  };
 
     % The relations of both lattices
     \draw (m-1-2) -- (m-2-2)

diff --git a/images/geodesic.tikz b/images/geodesic.tikz
@@ -1,4 +1,5 @@
 % This picture represents the fact that geodesics locally minimize distances
+% Copyright Pablo (C) 2021
 \begin{tikzpicture}[scale=0.5]
   % The cirference
   \draw (0, 0) circle (3);

diff --git a/images/hyperbolic-plane-disc.tikz b/images/hyperbolic-plane-disc.tikz
@@ -1,4 +1,5 @@
 % This picture represents the Poincaré disc model of the hyperbolic plane
+% Copyright Pablo (C) 2021
 \begin{tikzpicture}
   % The disk
   \draw (0, 0) circle (1);

diff --git a/images/k4.tikz b/images/k4.tikz
@@ -1,4 +1,5 @@
 % This picture represents the complete graph of four vertices
+% Copyright Pablo (C) 2021
 \begin{tikzpicture}[scale=0.75]
   % The vertices
   \coordinate (a) at (0,0);

diff --git a/images/natural-number-line.tikz b/images/natural-number-line.tikz
@@ -1,4 +1,5 @@
 % This picture represents the natural number line
+% Copyright Pablo (C) 2021
 \begin{tikzpicture}
   % The line
   \draw[-latex] (0,0) -- (6, 0) node[right]{$\mathbb{N}$};

diff --git a/images/ordinal-number-line.tikz b/images/ordinal-number-line.tikz
@@ -1,4 +1,5 @@
 % This picture represents the ordinal number line
+% Copyright Pablo (C) 2021
 \begin{tikzpicture}
   % The line
   \draw[-latex] (0,0) -- (6.5,0) node[right]{$\mathbf{Ord}$};

diff --git a/images/projective-system-universal-property.tikz b/images/projective-system-universal-property.tikz
@@ -3,6 +3,7 @@
 % functor between I^op and the category of obejcts of the projective system
 % given my the projective system itself (for each index i it yields X_i and for
 % each inequality i <= j it yeilds \varphi_{i, j}
+% Copyright Pablo (C) 2021
 \begin{tikzpicture}[ampersand replacement=\&]
   % The objects
   \matrix(m)[matrix of math nodes,row sep=3em,column sep=3em,minimum width=2em]

diff --git a/images/projective-system.tikz b/images/projective-system.tikz
@@ -1,5 +1,6 @@
 % This picture represents the behaviour of the morphisms of a projective system
 % (X_i, \phi_{i, j}
+% Copyright Pablo (C) 2021
 \begin{tikzpicture}[ampersand replacement=\&]
   % The objects
   \matrix(m)[matrix of math nodes,row sep=2em,column sep=2em,minimum width=2em]

diff --git a/images/quaternion-rotation.tikz b/images/quaternion-rotation.tikz
@@ -1,5 +1,6 @@
 % This drawing represents the correspondance between conjugation by unitary
 % quaternions and rotations in the 3-dimensional euclidian space
+% Copyright Pablo (C) 2021
 \begin{tikzpicture}
   % The rotation axis
   \begin{scope}[rotate=-60]

diff --git a/images/real-number-line.tikz b/images/real-number-line.tikz
@@ -1,4 +1,5 @@
 % This picture represents the real number line
+% Copyright Pablo (C) 2021
 \begin{tikzpicture}
   % The line
   \draw[latex-latex] (-3,0) -- (3,0) node[right]{$\mathbb{R}$};

diff --git a/images/real-ordinal-surreal-venn.tikz b/images/real-ordinal-surreal-venn.tikz
@@ -1,5 +1,6 @@
 % This picture represents the relationshipt between the real, ordinal and
 % surreal numbers
+% Copyright Pablo (C) 2021
 \begin{tikzpicture}
   % The reals
   \draw (0,0) circle (1)

diff --git a/images/riemannian-metric.tikz b/images/riemannian-metric.tikz
@@ -1,5 +1,6 @@
 % This picture is a comparison between the euclian distance and the Riemannian 
 % distance in a three-dimensional sphere
+% Copyright Pablo (C) 2021
 \begin{tikzpicture}
   % The cirference
   \draw (0, 0) circle (3);

diff --git a/images/smooth-function.tikz b/images/smooth-function.tikz
@@ -1,12 +1,21 @@
 % This picture represents the definition of a smooth map between manifolds
+% Copyright Pablo (C) 2021
 \begin{tikzpicture}
   % The manifolds
   \begin{scope}[shift={(-2, 0)}]
-    \path pic {manifold};
+    \draw  (-1.5, -0.5) to[relative, out=20,  in=160] 
+          +(   2,    0) to[relative, out=20,  in=160] 
+          +(   1,    1) to[relative, out=-20, in=-160] 
+          +(  -2,    0) to[relative, out=-20, in=-160] 
+           cycle;
     \draw (0.5, -0.5) node[right]{$M$};
   \end{scope}
   \begin{scope}[shift={(2, 0)}]
-    \path pic {manifold};
+    \draw  (-1.5, -0.5) to[relative, out=20,  in=160] 
+          +(   2,    0) to[relative, out=20,  in=160] 
+          +(   1,    1) to[relative, out=-20, in=-160] 
+          +(  -2,    0) to[relative, out=-20, in=-160] 
+           cycle;
     \draw (0.5, -0.5) node[right]{$N$};
   \end{scope}
 
@@ -18,8 +27,8 @@
   \draw[->] ( 2, -0.7) -- node[left]{$\psi$} +(0, -1);
 
   % The open sets in euclidian space
-  \draw[dash dot] (-2, -3) node{$\varphi(U)$} ellipse (1 and 0.5);
-  \draw[dash dot] ( 2, -3) node{$\psi(V)$} ellipse (1 and 0.5);
+  \draw[dashed] (-2, -3) node{$\varphi(U)$} ellipse (1 and 0.5);
+  \draw[dashed] ( 2, -3) node{$\psi(V)$} ellipse (1 and 0.5);
   \draw (-3.5, -4) node[left]{$\mathbb{R}^m$} rectangle +(3, 2);
   \draw ( 0.5, -4) node[left]{$\mathbb{R}^n$} rectangle +(3, 2);
 \end{tikzpicture}

diff --git a/images/smooth-manifold.tikz b/images/smooth-manifold.tikz
@@ -1,9 +1,13 @@
 % This picture represents the definition of a smooth manifold
+% Copyright Pablo (C) 2021
 \begin{tikzpicture}
   % The manifold
   \begin{scope}[shift={(-0.5, 0)}]
     % The frontire
-    \path pic {big-manifold};
+    \draw (-4, 2) to[relative, out=20, in=160] 
+          ( 2, 0) to[relative, out=20, in=160] 
+          ( 4, 3) to[relative, out=-20, in=-160] 
+          cycle;
     \draw (-4, 2) node[below]{$M$};
 
     % The open sets of the manifold and their intersection

diff --git a/images/sphere-quotient.tikz b/images/sphere-quotient.tikz
@@ -1,39 +1,40 @@
 % This picture represents the isomorphism between the n-dimensional sphere and
 % the quotient of the (n + 1)-dimensional simple orthogonal group by the
 % n-dimensional simple orthogonal group
+% Copyright Pablo (C) 2021
 \begin{tikzpicture}[scale=0.5]
-    % The sphere
-    \draw (0, 0) circle (3);
-                
-    % The equator
-    \begin{scope}
-        \clip (-3, 0) rectangle (3, -3);
-        \draw ellipse (3 and 1);
-    \end{scope}
-            
-    % The equator (on the other side of the sphere)
-    \begin{scope}
-        \clip (-3, 0) rectangle (3, 3);
-        \draw[dotted] ellipse (3 and 1);
-    \end{scope}
-            
-    % Greenwhich
-    \begin{scope}
-        \clip (-3, -3) rectangle (0, 3);
-        \draw ellipse (1 and 3);
-    \end{scope}
-            
-    % Greenwhich (on the other side of the sphere)
-    \begin{scope}
-        \clip (3, -3) rectangle (0, 3);
-        \draw[dotted] ellipse (1 and 3);
-    \end{scope}
-    
-    \draw (-3, 2.625) -- (1.5, 2.625) 
-                      -- (3, 3.375) 
-                      node[right]{$T_p S^n$}
-                      -- (-1.5, 3.375) 
-                      -- cycle;
-    \filldraw[black] (0, 3) circle (2pt) node[right]{$p$};
-    \draw (0, 3.375) node[above]{$\SO_n(\RR)$};
+  % The sphere
+  \draw (0, 0) circle (3);
+              
+  % The equator
+  \begin{scope}
+    \clip (-3, 0) rectangle (3, -3);
+    \draw ellipse (3 and 1);
+  \end{scope}
+          
+  % The equator (on the other side of the sphere)
+  \begin{scope}
+    \clip (-3, 0) rectangle (3, 3);
+    \draw[dotted] ellipse (3 and 1);
+  \end{scope}
+          
+  % Greenwhich
+  \begin{scope}
+    \clip (-3, -3) rectangle (0, 3);
+    \draw ellipse (1 and 3);
+  \end{scope}
+          
+  % Greenwhich (on the other side of the sphere)
+  \begin{scope}
+    \clip (3, -3) rectangle (0, 3);
+    \draw[dotted] ellipse (1 and 3);
+  \end{scope}
+  
+  \draw (-3, 2.625) -- (1.5, 2.625) 
+                    -- (3, 3.375) 
+                    node[right]{$T_p \mathbb{S}^n$}
+                    -- (-1.5, 3.375) 
+                    -- cycle;
+  \filldraw[black] (0, 3) circle (2pt) node[right]{$p$};
+  \draw (0, 3.375) node[above]{$\operatorname{SO}_n(\mathbb{R})$};
 \end{tikzpicture}

diff --git a/images/sphere.tikz b/images/sphere.tikz
@@ -1,4 +1,5 @@
 % This picture represents a three-dimentional sphere
+% Copyright Pablo (C) 2021
 \begin{tikzpicture}[scale=0.4]
     % The cirference
     \draw (0, 0) circle (3);

diff --git a/images/sporadic-groups.svg b/images/sporadic-groups.svg
@@ -1,1362 +0,0 @@
-<?xml version="1.0" encoding="UTF-8" standalone="no"?>
-<svg
-   xmlns:dc="http://purl.org/dc/elements/1.1/"
-   xmlns:cc="http://creativecommons.org/ns#"
-   xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
-   xmlns:svg="http://www.w3.org/2000/svg"
-   xmlns="http://www.w3.org/2000/svg"
-   xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
-   xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
-   width="289"
-   height="240.57851"
-   viewBox="0 0 289 240.57851"
-   version="1.1"
-   id="svg2"
-   inkscape:version="0.92.4 (5da689c313, 2019-01-14)"
-   sodipodi:docname="SporadicGroups.svg">
-  <metadata
-     id="metadata352">
-    <rdf:RDF>
-      <cc:Work
-         rdf:about="">
-        <dc:format>image/svg+xml</dc:format>
-        <dc:type
-           rdf:resource="http://purl.org/dc/dcmitype/StillImage" />
-        <dc:title></dc:title>
-      </cc:Work>
-    </rdf:RDF>
-  </metadata>
-  <defs
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-    <marker
-       inkscape:stockid="Arrow2Lend"
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diff --git a/images/standard-sets-venn.tikz b/images/standard-sets-venn.tikz
@@ -1,4 +1,5 @@
 % This diagram represents the relationship between standard number sets
+% Copyright Pablo (C) 2021
 \begin{tikzpicture}
   % The complex numbers
   \draw (-3,-2.5) rectangle (3,2.5)

diff --git a/images/unit-circle-covering.tikz b/images/unit-circle-covering.tikz
@@ -1,4 +1,5 @@
 % This picture represents the universal convering of the unit circle
+% Copyright Pablo (C) 2021
 \begin{tikzpicture}[scale=0.75]
 \begin{scope}[shift={(-3.5, -1)}]
     \begin{axis}[view={0}{60}, axis lines=none, ymin=-2, ymax=5, xmin=-2, xmax=2]

diff --git a/images/unit-circle.tikz b/images/unit-circle.tikz
@@ -1,4 +1,5 @@
 % This picture represents the unit complex circle
+% Copyright Pablo (C) 2021
 \begin{tikzpicture}[scale=1.2]
   \node[above] (O) at (0,1) {$i$};
   \node[right] (O) at (1,0) {$1$};