Skip to content

Commit

Permalink
improved organization preambles
Browse files Browse the repository at this point in the history
  • Loading branch information
victorballester7 committed Dec 11, 2023
1 parent b334751 commit d696735
Show file tree
Hide file tree
Showing 305 changed files with 1,332 additions and 1,200 deletions.
Binary file modified Mathematics/1st/Fundamentals_of_mathematics/Images/complement.pdf
Binary file not shown.
Original file line number Diff line number Diff line change
@@ -1,5 +1,5 @@
\documentclass{standalone}
\usepackage{../../../../preamble_formulas}
\usepackage{../../../../preamble_tikz}

\begin{document}

Expand Down
Binary file modified Mathematics/1st/Fundamentals_of_mathematics/Images/difference.pdf
Binary file not shown.
Original file line number Diff line number Diff line change
@@ -1,5 +1,5 @@
\documentclass{standalone}
\usepackage{../../../../preamble_formulas}
\usepackage{../../../../preamble_tikz}

\begin{document}

Expand All @@ -18,6 +18,5 @@

% Set intersection label
\node at (-0.6,0) {$A\setminus B$};

\end{tikzpicture}
\end{document}
Binary file not shown.
Original file line number Diff line number Diff line change
@@ -1,5 +1,5 @@
\documentclass{standalone}
\usepackage{../../../../preamble_formulas}
\usepackage{../../../../preamble_tikz}

\begin{document}

Expand Down
Binary file modified Mathematics/1st/Fundamentals_of_mathematics/Images/union.pdf
Binary file not shown.
Original file line number Diff line number Diff line change
@@ -1,5 +1,5 @@
\documentclass{standalone}
\usepackage{../../../../preamble_formulas}
\usepackage{../../../../preamble_tikz}

\begin{document}

Expand Down
Binary file modified Mathematics/1st/Linear_algebra/Images/first_isomorphism.pdf
Binary file not shown.
17 changes: 9 additions & 8 deletions Mathematics/1st/Linear_algebra/Images/first_isomorphism.tex
Original file line number Diff line number Diff line change
@@ -1,16 +1,17 @@
\documentclass{standalone}
\usepackage{../../../../preamble_formulas}
\usepackage{../../../../preamble_tikz}
\usepackage{../../../../preamble_math}

\begin{document}

\begin{tikzpicture}
%%% NODES
\path (0,0) node(x) {$U$}
(2,0) node(y) {$\im f$} (0,-2) node(z) {$\displaystyle\quot{U}{\ker f}$};
%%% LINES
\draw[very thin,->] (x) --node[above,midway] {$f$} (y);
\draw[very thin,->] (z) --node[right,pos=0.45] {$\tilde{f}$} (y);
\draw[very thin,->] (x) --node[left,midway] {$\pi$} (z);
%%% NODES
\path (0,0) node(x) {$U$}
(2,0) node(y) {$\im f$} (0,-2) node(z) {$\displaystyle\quot{U}{\ker f}$};
%%% LINES
\draw[very thin,->] (x) --node[above,midway] {$f$} (y);
\draw[very thin,->] (z) --node[right,pos=0.45] {$\tilde{f}$} (y);
\draw[very thin,->] (x) --node[left,midway] {$\pi$} (z);
\end{tikzpicture}

\end{document}
Binary file modified Mathematics/1st/Real-valued_functions/Images/concavity.pdf
Binary file not shown.
10 changes: 5 additions & 5 deletions Mathematics/1st/Real-valued_functions/Images/concavity.tex
Original file line number Diff line number Diff line change
@@ -1,11 +1,11 @@
\documentclass{standalone}
\usepackage{../../../../preamble_formulas}
\usepackage{../../../../preamble_tikz}

\begin{document}
\begin{tikzpicture}
\begin{axis}[xmin=-1,xmax=1,ymin=0,ymax=2,
axis equal image]
\addplot [thin,samples=200,smooth,blue] {2-2*x*x};
\end{axis}
\begin{axis}[xmin=-1,xmax=1,ymin=0,ymax=2,
axis equal image]
\addplot [thin,samples=200,smooth,blue] {2-2*x*x};
\end{axis}
\end{tikzpicture}
\end{document}
Binary file modified Mathematics/1st/Real-valued_functions/Images/convexity.pdf
Binary file not shown.
10 changes: 5 additions & 5 deletions Mathematics/1st/Real-valued_functions/Images/convexity.tex
Original file line number Diff line number Diff line change
@@ -1,11 +1,11 @@
\documentclass{standalone}
\usepackage{../../../../preamble_formulas}
\usepackage{../../../../preamble_tikz}

\begin{document}
\begin{tikzpicture}
\begin{axis}[xmin=-1,xmax=1,ymin=0,ymax=2,
axis equal image]
\addplot [thin,samples=200,smooth,blue] {2*x*x};
\end{axis}
\begin{axis}[xmin=-1,xmax=1,ymin=0,ymax=2,
axis equal image]
\addplot [thin,samples=200,smooth,blue] {2*x*x};
\end{axis}
\end{tikzpicture}
\end{document}
Binary file modified Mathematics/1st/Real-valued_functions/Images/discontinuity1.pdf
Binary file not shown.
14 changes: 7 additions & 7 deletions Mathematics/1st/Real-valued_functions/Images/discontinuity1.tex
Original file line number Diff line number Diff line change
@@ -1,13 +1,13 @@
\documentclass{standalone}
\usepackage{../../../../preamble_formulas}
\usepackage{../../../../preamble_tikz}

\begin{document}
\begin{tikzpicture}
\begin{axis}[xmin=0,xmax=1,ymin=0,ymax=1,
axis equal image]
\addplot [thin,samples=200,smooth,blue] {x*x};
\draw [blue,fill=white] (axis cs:0.5,0.25) circle [radius=1.5pt];
\draw [blue,fill=blue] (axis cs:0.5,0.5) circle [radius=1.5pt];
\end{axis}
\begin{axis}[xmin=0,xmax=1,ymin=0,ymax=1,
axis equal image]
\addplot [thin,samples=200,smooth,blue] {x*x};
\draw [blue,fill=white] (axis cs:0.5,0.25) circle [radius=1.5pt];
\draw [blue,fill=blue] (axis cs:0.5,0.5) circle [radius=1.5pt];
\end{axis}
\end{tikzpicture}
\end{document}
Binary file modified Mathematics/1st/Real-valued_functions/Images/discontinuity2.pdf
Binary file not shown.
16 changes: 8 additions & 8 deletions Mathematics/1st/Real-valued_functions/Images/discontinuity2.tex
Original file line number Diff line number Diff line change
@@ -1,14 +1,14 @@
\documentclass{standalone}
\usepackage{../../../../preamble_formulas}
\usepackage{../../../../preamble_tikz}

\begin{document}
\begin{tikzpicture}
\begin{axis}[xmin=0,xmax=1,ymin=0,ymax=1,
axis equal image]
\addplot [thin,samples=200,smooth,blue,domain=0:0.5] {x*x};
\addplot [thin,samples=200,smooth,blue,domain=0.5:1] {0.75-(x-1)^2};
\draw [blue,fill=white] (axis cs:0.5,0.25) circle [radius=1.5pt];
\draw [blue,fill=blue] (axis cs:0.5,0.5) circle [radius=1.5pt];
\end{axis}
\begin{axis}[xmin=0,xmax=1,ymin=0,ymax=1,
axis equal image]
\addplot [thin,samples=200,smooth,blue,domain=0:0.5] {x*x};
\addplot [thin,samples=200,smooth,blue,domain=0.5:1] {0.75-(x-1)^2};
\draw [blue,fill=white] (axis cs:0.5,0.25) circle [radius=1.5pt];
\draw [blue,fill=blue] (axis cs:0.5,0.5) circle [radius=1.5pt];
\end{axis}
\end{tikzpicture}
\end{document}
Binary file modified Mathematics/1st/Real-valued_functions/Images/discontinuity3.pdf
Binary file not shown.
14 changes: 7 additions & 7 deletions Mathematics/1st/Real-valued_functions/Images/discontinuity3.tex
Original file line number Diff line number Diff line change
@@ -1,13 +1,13 @@
\documentclass{standalone}
\usepackage{../../../../preamble_formulas}
\usepackage{../../../../preamble_tikz}

\begin{document}
\begin{tikzpicture}
\begin{axis}[xmin=0,xmax=1,ymin=0,ymax=1,
axis equal image]
\addplot [thin,samples=200,smooth,blue,domain=0:0.49] {-1/(155*(0.5-x))+0.5};
\addplot [thin,samples=200,smooth,blue,domain=0.51:1] {1/(155*(x-0.5))+0.5};
\draw [thin,blue,dashed] (axis cs:0.5,0) -- (axis cs:0.5,1);
\end{axis}
\begin{axis}[xmin=0,xmax=1,ymin=0,ymax=1,
axis equal image]
\addplot [thin,samples=200,smooth,blue,domain=0:0.49] {-1/(155*(0.5-x))+0.5};
\addplot [thin,samples=200,smooth,blue,domain=0.51:1] {1/(155*(x-0.5))+0.5};
\draw [thin,blue,dashed] (axis cs:0.5,0) -- (axis cs:0.5,1);
\end{axis}
\end{tikzpicture}
\end{document}
Binary file modified Mathematics/1st/Real-valued_functions/Images/discontinuity4.pdf
Binary file not shown.
22 changes: 11 additions & 11 deletions Mathematics/1st/Real-valued_functions/Images/discontinuity4.tex
Original file line number Diff line number Diff line change
@@ -1,17 +1,17 @@
\documentclass{standalone}
\usepackage{../../../../preamble_formulas}
\usepackage{../../../../preamble_tikz}

\begin{document}
\begin{tikzpicture}
\begin{axis}[xmin=0,xmax=1,ymin=0,ymax=1,
axis equal image]
\addplot [thin,samples=200,smooth,blue,domain=0.2:1] {0.25 * sin(deg(1/x))+0.5};
\addplot [thin,samples=2000,smooth,blue,domain=0.1:0.2] {0.25 * sin(deg(1/x))+0.5};
\addplot [thin,samples=1000,smooth,blue,domain=0.07:0.1] {0.25 * sin(deg(1/x))+0.5};
\addplot [thin,samples=1000,smooth,blue,domain=0.05:0.7] {0.25 * sin(deg(1/x))+0.5};
\addplot [thin,samples=1000,smooth,blue,domain=0.03:0.5] {0.25 * sin(deg(1/x))+0.5};
\addplot [thin,samples=2000,smooth,blue,domain=0.019:0.3] {0.25 * sin(deg(1/x))+0.5};
\draw [rounded corners=0.1pt,thin,blue,fill=blue] (0.0025,0.75) rectangle (0.019,0.25);
\end{axis}
\begin{axis}[xmin=0,xmax=1,ymin=0,ymax=1,
axis equal image]
\addplot [thin,samples=200,smooth,blue,domain=0.2:1] {0.25 * sin(deg(1/x))+0.5};
\addplot [thin,samples=2000,smooth,blue,domain=0.1:0.2] {0.25 * sin(deg(1/x))+0.5};
\addplot [thin,samples=1000,smooth,blue,domain=0.07:0.1] {0.25 * sin(deg(1/x))+0.5};
\addplot [thin,samples=1000,smooth,blue,domain=0.05:0.7] {0.25 * sin(deg(1/x))+0.5};
\addplot [thin,samples=1000,smooth,blue,domain=0.03:0.5] {0.25 * sin(deg(1/x))+0.5};
\addplot [thin,samples=2000,smooth,blue,domain=0.019:0.3] {0.25 * sin(deg(1/x))+0.5};
\draw [rounded corners=0.1pt,thin,blue,fill=blue] (0.0025,0.75) rectangle (0.019,0.25);
\end{axis}
\end{tikzpicture}
\end{document}
Binary file modified Mathematics/1st/Real-valued_functions/Images/lower_sum.pdf
Binary file not shown.
2 changes: 1 addition & 1 deletion Mathematics/1st/Real-valued_functions/Images/lower_sum.tex
Original file line number Diff line number Diff line change
@@ -1,5 +1,5 @@
\documentclass{standalone}
\usepackage{../../../../preamble_formulas}
\usepackage{../../../../preamble_tikz}

\begin{document}
\begin{tikzpicture}[
Expand Down
Binary file modified Mathematics/1st/Real-valued_functions/Images/upper_sum.pdf
Binary file not shown.
2 changes: 1 addition & 1 deletion Mathematics/1st/Real-valued_functions/Images/upper_sum.tex
Original file line number Diff line number Diff line change
@@ -1,5 +1,5 @@
\documentclass{standalone}
\usepackage{../../../../preamble_formulas}
\usepackage{../../../../preamble_tikz}

\begin{document}
\begin{tikzpicture}[
Expand Down
Binary file modified Mathematics/2nd/Algebraic_structures/Images/circles.pdf
Binary file not shown.
3 changes: 2 additions & 1 deletion Mathematics/2nd/Algebraic_structures/Images/circles.tex
Original file line number Diff line number Diff line change
@@ -1,5 +1,6 @@
\documentclass{standalone}
\usepackage{../../../../preamble_formulas}
\usepackage{../../../../preamble_tikz}
\usepackage{../../../../preamble_math}

\begin{document}
\begin{tikzpicture}
Expand Down
Binary file modified Mathematics/2nd/Algebraic_structures/Images/theorem1.pdf
Binary file not shown.
4 changes: 3 additions & 1 deletion Mathematics/2nd/Algebraic_structures/Images/theorem1.tex
Original file line number Diff line number Diff line change
@@ -1,5 +1,7 @@
\documentclass{standalone}
\usepackage{../../../../preamble_formulas}
\usepackage{../../../../preamble_tikz}
\usepackage{../../../../preamble_math}


\begin{document}

Expand Down
Binary file modified Mathematics/2nd/Algebraic_structures/Images/theorem2.pdf
Binary file not shown.
3 changes: 2 additions & 1 deletion Mathematics/2nd/Algebraic_structures/Images/theorem2.tex
Original file line number Diff line number Diff line change
@@ -1,5 +1,6 @@
\documentclass{standalone}
\usepackage{../../../../preamble_formulas}
\usepackage{../../../../preamble_tikz}
\usepackage{../../../../preamble_math}

\begin{document}

Expand Down
Binary file modified Mathematics/2nd/Algebraic_structures/Images/theorem3.pdf
Binary file not shown.
16 changes: 8 additions & 8 deletions Mathematics/2nd/Algebraic_structures/Images/theorem3.tex
Original file line number Diff line number Diff line change
@@ -1,16 +1,16 @@
\documentclass{standalone}
\usepackage{../../../../preamble_formulas}
\usepackage{../../../../preamble_tikz}

\begin{document}

\begin{tikzpicture}
%%% NODES
\path (0,0) node(x) {$R$}
(2,0) node(y) {$S$} (0,-2) node(z) {$R[x]$};
%%% LINES
\draw[very thin,->] (x) --node[above,midway] {$\phi$} (y);
\draw[very thin,->] (z) --node[right,pos=0.45] {$\psi$} (y);
\draw[very thin,right hook->] (x) --node[left,midway] {$i$} (z);
%%% NODES
\path (0,0) node(x) {$R$}
(2,0) node(y) {$S$} (0,-2) node(z) {$R[x]$};
%%% LINES
\draw[very thin,->] (x) --node[above,midway] {$\phi$} (y);
\draw[very thin,->] (z) --node[right,pos=0.45] {$\psi$} (y);
\draw[very thin,right hook->] (x) --node[left,midway] {$i$} (z);
\end{tikzpicture}

\end{document}
Binary file modified Mathematics/2nd/Algebraic_structures/Images/theorem4.pdf
Binary file not shown.
16 changes: 8 additions & 8 deletions Mathematics/2nd/Algebraic_structures/Images/theorem4.tex
Original file line number Diff line number Diff line change
@@ -1,15 +1,15 @@
\documentclass{standalone}
\usepackage{../../../../preamble_formulas}
\usepackage{../../../../preamble_tikz}
\begin{document}

\begin{tikzpicture}
%%% NODES
\path (0,0) node(x) {$R$}
(2,0) node(y) {$K$} (0,-2) node(z) {$Q(R)$};
%%% LINES
\draw[very thin,->] (x) --node[above,midway] {$\phi$} (y);
\draw[very thin,->] (z) --node[right,pos=0.45] {$\psi$} (y);
\draw[very thin,right hook->] (x) --node[left,midway] {$i$} (z);
%%% NODES
\path (0,0) node(x) {$R$}
(2,0) node(y) {$K$} (0,-2) node(z) {$Q(R)$};
%%% LINES
\draw[very thin,->] (x) --node[above,midway] {$\phi$} (y);
\draw[very thin,->] (z) --node[right,pos=0.45] {$\psi$} (y);
\draw[very thin,right hook->] (x) --node[left,midway] {$i$} (z);
\end{tikzpicture}

\end{document}
Binary file modified Mathematics/2nd/Discrete_mathematics/Images/bipartite.pdf
Binary file not shown.
3 changes: 2 additions & 1 deletion Mathematics/2nd/Discrete_mathematics/Images/bipartite.tex
Original file line number Diff line number Diff line change
@@ -1,5 +1,6 @@
\documentclass{standalone}
\usepackage{../../../../preamble_formulas}
\usepackage{../../../../preamble_general}
\usepackage{../../../../preamble_tikz}

\begin{document}
\begin{tikzpicture}
Expand Down
Binary file modified Mathematics/2nd/Discrete_mathematics/Images/complete5.pdf
Binary file not shown.
2 changes: 1 addition & 1 deletion Mathematics/2nd/Discrete_mathematics/Images/complete5.tex
Original file line number Diff line number Diff line change
@@ -1,5 +1,5 @@
\documentclass{standalone}
\usepackage{../../../../preamble_formulas}
\usepackage{../../../../preamble_tikz}

\begin{document}
\begin{tikzpicture}
Expand Down
Binary file modified Mathematics/2nd/Discrete_mathematics/Images/graph.pdf
Binary file not shown.
2 changes: 1 addition & 1 deletion Mathematics/2nd/Discrete_mathematics/Images/graph.tex
Original file line number Diff line number Diff line change
@@ -1,5 +1,5 @@
\documentclass{standalone}
\usepackage{../../../../preamble_formulas}
\usepackage{../../../../preamble_tikz}

\begin{document}
\begin{tikzpicture}
Expand Down
Binary file modified Mathematics/2nd/Discrete_mathematics/Images/tree.pdf
Binary file not shown.
2 changes: 1 addition & 1 deletion Mathematics/2nd/Discrete_mathematics/Images/tree.tex
Original file line number Diff line number Diff line change
@@ -1,5 +1,5 @@
\documentclass{standalone}
\usepackage{../../../../preamble_formulas}
\usepackage{../../../../preamble_tikz}

\begin{document}
\begin{tikzpicture}
Expand Down
Binary file modified Mathematics/2nd/Linear_geometry/Images/desargues.pdf
Binary file not shown.
62 changes: 31 additions & 31 deletions Mathematics/2nd/Linear_geometry/Images/desargues.tex
Original file line number Diff line number Diff line change
@@ -1,43 +1,43 @@
\documentclass{standalone}
\usepackage{../../../../preamble_formulas}
\usepackage{../../../../preamble_tikz}

\begin{document}

\begin{tikzpicture}
%%% LINES
\draw[color=red!80, thin] (-2.14,-3) -- (4.29,-3);
\draw[color=blue!80, dotted, very thick] (-2.14,0) -- (4.3,0);
\draw[color=blue!80, dotted, very thick] (-2.14,1.71) -- (4.3,-0.43);
\draw[color=blue!80, dotted, very thick] (-2.14,2.57) -- (4.3,-0.65);
\draw[color=gray, thin] (-2.05,-3.1) -- (1.07,3.14);
\draw[color=gray, thin] (-2.1,-3.1) -- (4.14,3.14);
\draw[color=gray, thin] (0.28,-3.1) -- (-1.29,3.14);
\draw[color=gray, thin] (0.22,-3.1) -- (1.78,3.14);
\draw[color=gray, thin] (4.07,-3.1) -- (-0.38,3.14);
\draw[color=gray, thin] (4.1,-3.1) -- (-2.14,3.14);
%%% LINES
\draw[color=red!80, thin] (-2.14,-3) -- (4.29,-3);
\draw[color=blue!80, dotted, very thick] (-2.14,0) -- (4.3,0);
\draw[color=blue!80, dotted, very thick] (-2.14,1.71) -- (4.3,-0.43);
\draw[color=blue!80, dotted, very thick] (-2.14,2.57) -- (4.3,-0.65);
\draw[color=gray, thin] (-2.05,-3.1) -- (1.07,3.14);
\draw[color=gray, thin] (-2.1,-3.1) -- (4.14,3.14);
\draw[color=gray, thin] (0.28,-3.1) -- (-1.29,3.14);
\draw[color=gray, thin] (0.22,-3.1) -- (1.78,3.14);
\draw[color=gray, thin] (4.07,-3.1) -- (-0.38,3.14);
\draw[color=gray, thin] (4.1,-3.1) -- (-2.14,3.14);

%%% TRIANGLES
\filldraw[fill=black!50!green!50, thin] (-0.5,0) -- (0,1) -- (-1,2) -- cycle;
\filldraw[fill=black!10!yellow!60, thin] (1,0) -- (1.5,0.5) -- (1.22,0.89) -- cycle;
%%% TRIANGLES
\filldraw[fill=black!50!green!50, thin] (-0.5,0) -- (0,1) -- (-1,2) -- cycle;
\filldraw[fill=black!10!yellow!60, thin] (1,0) -- (1.5,0.5) -- (1.22,0.89) -- cycle;

%%% POINTS
%% TRIANGLES
\filldraw[red!80] (-0.5,0) circle (0.7pt);
\filldraw[red!80] (0,1) circle (0.7pt);
\filldraw[red!80] (-1,2) circle (0.7pt);
\filldraw[red!80] (1,0) circle (0.7pt);
\filldraw[red!80] (1.5,0.5) circle (0.7pt);
\filldraw[red!80] (1.22,0.89) circle (0.7pt);
%%% POINTS
%% TRIANGLES
\filldraw[red!80] (-0.5,0) circle (0.7pt);
\filldraw[red!80] (0,1) circle (0.7pt);
\filldraw[red!80] (-1,2) circle (0.7pt);
\filldraw[red!80] (1,0) circle (0.7pt);
\filldraw[red!80] (1.5,0.5) circle (0.7pt);
\filldraw[red!80] (1.22,0.89) circle (0.7pt);

%% INTERSECTIONS
\filldraw[red!80] (3,0) circle (0.7pt);
\filldraw[red!80] (-2,-3) circle (0.7pt);
\filldraw[red!80] (0.25,-3) circle (0.7pt);
\filldraw[red!80] (4,-3) circle (0.7pt);
%% INTERSECTIONS
\filldraw[red!80] (3,0) circle (0.7pt);
\filldraw[red!80] (-2,-3) circle (0.7pt);
\filldraw[red!80] (0.25,-3) circle (0.7pt);
\filldraw[red!80] (4,-3) circle (0.7pt);

%%% WORDS
\node[scale=0.5,align=center] at (3.3,0.4) {Center of\\perspectivity};
\node[scale=0.5,align=center] at (2,-2.87) {Axis of perspectivity};
%%% WORDS
\node[scale=0.5,align=center] at (3.3,0.4) {Center of\\perspectivity};
\node[scale=0.5,align=center] at (2,-2.87) {Axis of perspectivity};
\end{tikzpicture}

\end{document}
Binary file modified Mathematics/2nd/Linear_geometry/Images/disk.pdf
Binary file not shown.
Loading

0 comments on commit d696735

Please sign in to comment.