File:Zigzag theorem.pdf

Zigzag_theorem.pdf(506 × 185 pixels, file size: 36 KB, MIME type: application/pdf)

Summary

Description
Date
Source Own work
Author SilverMatsu
LaTeX source code
\documentclass{standalone}

usepackage{tikz}

\usepackage{standalone}

\usepackage{graphicx,xcolor}% allow the usage graphics

\begin{document}

\begin{tikzpicture}

\draw (-0.5,0) to [out=175,in=-85] (-4,1.5);\draw[->] (-4,1.5) to [out=85,in=185] (-0.08,3);\draw (-4.1,1.5) node {$\scriptstyle d$};% d left

\draw [->] (-0.07,0.03)--(-2,1);\draw (-1,0.25) node {$\scriptstyle x_1$};% x_1

\draw [->,draw=blue,dashed] (-2.05,1.05) to [out=85,in=190] (-0.12,2.95);\draw (-1.80,2.25) node {$\scriptstyle u_1$};% u_1

\draw [->,draw=blue,dashed] (-2,1)--(-1,2);\draw (-1.25,1.35) node {$\scriptstyle v_1$};% v_1

\draw [->] (-0.95,2.05)--(-0.08,2.9);\draw (-0.25,2.45) node {$\scriptstyle y_1$};%  y_1

\draw [->] (0,0.07)--(0,1);\draw (-0.15,0.7) node {$\scriptstyle x_2$};% x_2

\draw [->,draw=blue,dashed] (-0.05,1.05)--(-0.95,1.95);\draw (-0.25,1.7) node {$\scriptstyle u_2$};%  u_2

\draw [->] (1.03,2.05)--(0.08,2.95);\draw (0.25,2.45) node {$\scriptstyle y_2$};% y_2

\draw [->] (0.03,0.05)--(1,1); \draw (0.65,0.87) node {$\scriptstyle x_3$};% x_3

\draw [->,draw=blue,dashed] (0.05,1.05)--(0.93,1.95);\draw (0.25,1.7) node {$\scriptstyle v_2$};%v_2

\draw [->,draw=blue,dashed] (1.05,1.05)--(1.05,1.95);\draw (1.35,1.5) node {$\scriptstyle u_3$};%u_3

\draw [->] (0.07,0.03)--(2,1);\draw (1.42,0.39) node {$\scriptstyle x_{m}$};% x_m

\draw [->,draw=blue,dashed] (2.05,1.05)--(2.95,1.95);\draw (2.15,1.70) node {$\scriptstyle v_{m}$};\draw (1.65,1.75) node {$\scriptstyle \cdots$}; % v_m

\draw [->] (2.98,2.05)--(0.08,3);\draw (2,2.65) node {$\scriptstyle y_{m}$};%  y_m

\draw [[->,draw=blue,dashed] (0.5,0) to [out=5,in=265] (3,1.90);\draw (2.83,0.68) node {$\scriptstyle u_{m+1}$};%  u_{m+1}

\draw (0.5,0) to [out=5,in=265] (4,1.5);\draw[->] (4,1.5) to [out=95,in=-5] (0.08,3);\draw (4.1,1.5) node {$\scriptstyle d$};% d right
\end{tikzpicture}
\end{document}

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I, the copyright holder of this work, hereby publish it under the following license:
w:en:Creative Commons
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2 August 2023

application/pdf

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Date/TimeThumbnailDimensionsUserComment
current02:30, 3 October 2023Thumbnail for version as of 02:30, 3 October 2023506 × 185 (36 KB)Silvermatsum -> m + 1
05:06, 2 October 2023Thumbnail for version as of 05:06, 2 October 2023506 × 185 (43 KB)SilvermatsuThe blue dashed line is the spine of the zig-zag.
13:49, 2 August 2023Thumbnail for version as of 13:49, 2 August 2023506 × 185 (43 KB)Silvermatsu
12:52, 2 August 2023Thumbnail for version as of 12:52, 2 August 20231,275 × 1,650 (51 KB)Silvermatsu
10:55, 2 August 2023Thumbnail for version as of 10:55, 2 August 20231,275 × 1,650 (51 KB)SilvermatsuUploaded own work with UploadWizard
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