From 81f4e340e64fb32e15fc8d61198e3b333c122c7e Mon Sep 17 00:00:00 2001 From: lxw <693107567@qq.com> Date: Thu, 16 May 2024 19:57:35 +0800 Subject: [PATCH] 添加素材 --- main/2048pic/0.png | Bin 13495 -> 0 bytes main/2048pic/2_0.png | Bin 19038 -> 0 bytes main/2048pic/2_1.png | Bin 13429 -> 0 bytes main/2048pic/2_2.png | Bin 13131 -> 0 bytes main/2048pic/3_0.png | Bin 14473 -> 0 bytes main/2048pic/3_1.png | Bin 14511 -> 0 bytes main/2048pic/3_2.png | Bin 14456 -> 0 bytes main/nonergodicity.tex | 42 +++--------------------------------------- main/paradox.tex | 2 +- pic/2048example.tex | 19 ++++++++++--------- pic/main/2048pic/0.png | Bin 0 -> 13495 bytes pic/main/2048pic/2_0.png | Bin 0 -> 19038 bytes pic/main/2048pic/2_1.png | Bin 0 -> 13429 bytes pic/main/2048pic/2_2.png | Bin 0 -> 13131 bytes pic/main/2048pic/3_0.png | Bin 0 -> 14473 bytes pic/main/2048pic/3_1.png | Bin 0 -> 14511 bytes pic/main/2048pic/3_2.png | Bin 0 -> 14456 bytes pic/randomWalk.tex | 20 ++++++++++++++++++++ pic/randomWalkRestart.tex | 18 ++++++++++++++++++ 19 files changed, 52 insertions(+), 49 deletions(-) delete mode 100644 main/2048pic/0.png delete mode 100644 main/2048pic/2_0.png delete mode 100644 main/2048pic/2_1.png delete mode 100644 main/2048pic/2_2.png delete mode 100644 main/2048pic/3_0.png delete mode 100644 main/2048pic/3_1.png delete mode 100644 main/2048pic/3_2.png create mode 100644 pic/main/2048pic/0.png create mode 100644 pic/main/2048pic/2_0.png create mode 100644 pic/main/2048pic/2_1.png create mode 100644 pic/main/2048pic/2_2.png create mode 100644 pic/main/2048pic/3_0.png create mode 100644 pic/main/2048pic/3_1.png create mode 100644 pic/main/2048pic/3_2.png create mode 100644 pic/randomWalk.tex create mode 100644 pic/randomWalkRestart.tex diff --git a/main/2048pic/0.png b/main/2048pic/0.png deleted file mode 100644 index f1e7f79..0000000 Binary files a/main/2048pic/0.png and /dev/null differ diff --git a/main/2048pic/2_0.png b/main/2048pic/2_0.png deleted file mode 100644 index fa40579..0000000 Binary files a/main/2048pic/2_0.png and /dev/null differ diff --git a/main/2048pic/2_1.png b/main/2048pic/2_1.png deleted file mode 100644 index cc9a6a5..0000000 Binary files a/main/2048pic/2_1.png and /dev/null differ diff --git a/main/2048pic/2_2.png b/main/2048pic/2_2.png deleted file mode 100644 index 5cbdb15..0000000 Binary files a/main/2048pic/2_2.png and /dev/null differ diff --git a/main/2048pic/3_0.png b/main/2048pic/3_0.png deleted file mode 100644 index 69bb6f0..0000000 Binary files a/main/2048pic/3_0.png and /dev/null differ diff --git a/main/2048pic/3_1.png b/main/2048pic/3_1.png deleted file mode 100644 index 8355006..0000000 Binary files a/main/2048pic/3_1.png and /dev/null differ diff --git a/main/2048pic/3_2.png b/main/2048pic/3_2.png deleted file mode 100644 index b049b93..0000000 Binary files a/main/2048pic/3_2.png and /dev/null differ diff --git a/main/nonergodicity.tex b/main/nonergodicity.tex index 892bb1b..34a814b 100644 --- a/main/nonergodicity.tex +++ b/main/nonergodicity.tex @@ -18,7 +18,7 @@ P = \begin{pmatrix} \end{pmatrix} \] -%可重启的随机游走 +%可重启的随机游走矩阵 \[ P = \begin{pmatrix} 0 & 0 & 1 & 0 & 0 & \\ @@ -42,26 +42,7 @@ P = \begin{pmatrix} \] %随机游走pic -\begin{tikzpicture} - \node[draw, rectangle, fill=gray!50] (DEAD) at (-2,0) ; - \node[draw, rectangle, fill=gray!50] (DEAD2) at (10,0) ; - \node[draw, circle] (A) at (0,0) {A}; - \node[draw, circle] (B) at (2,0) {B}; - \node[draw, circle] (C) at (4,0) {C}; - \node[draw, circle] (D) at (6,0) {D}; - \node[draw, circle] (E) at (8,0) {E}; - - \draw[->] (A) -- (DEAD); - \draw[->] (B) -- (A); - \draw[->] (B) to [bend left=30] (C); - \draw[->] (C) to [bend left=30] (B); - \draw[->] (C) to [bend left=30] (D); - \draw[->] (D) to [bend left=30] (C); - \draw[->] (D) -- (E); - \draw[->] (E) -- (DEAD2); - - \draw[->] ([yshift=4ex]C.north) -- ([yshift=4.5ex]C.south); - \end{tikzpicture} +\input{pic/randomWalk} 设两个上三角矩阵为( A ) 和 ( B )，它们的形式分别为： @@ -93,24 +74,7 @@ c_{ij}=\sum_{k=1}^{n} a_{ik}b_{kj} $N=1+Q^1+Q^2……$ % “重启”随机游走 pic -\begin{tikzpicture} - - \node[draw, circle] (A) at (0,0) {A}; - \node[draw, circle] (B) at (2,0) {B}; - \node[draw, circle] (C) at (4,0) {C}; - \node[draw, circle] (D) at (6,0) {D}; - \node[draw, circle] (E) at (8,0) {E}; - - \draw[->] (A.north) to [bend left=30] (C.north) - \draw[->] (B) -- (A); - \draw[->] (B) to [bend left=30] (C); - \draw[->] (C) to [bend left=30] (B); - \draw[->] (C) to [bend left=30] (D); - \draw[->] (D) to [bend left=30] (C); - \draw[->] (D) -- (E); - \draw[->] (E.south) to [bend left=30] (C.south) - -\end{tikzpicture} +\input{pic/randomWalkRestart} diff --git a/main/paradox.tex b/main/paradox.tex index 3339ab4..09749cc 100644 --- a/main/paradox.tex +++ b/main/paradox.tex @@ -94,7 +94,7 @@ N = \begin{pmatrix} 30 & 186.15 & +156.15 \\ \hline \end{tabular} - \end{table} +\end{table} diff --git a/pic/2048example.tex b/pic/2048example.tex index fd2a7ab..ab4dc6a 100644 --- a/pic/2048example.tex +++ b/pic/2048example.tex @@ -1,3 +1,5 @@ +\usepackage{graphicx} +\usepackage{tikz} \begin{figure*} \centering \tikzstyle{place}=[circle,draw=blue!50,fill=blue!20,thick,minimum size=10mm] @@ -21,26 +23,25 @@ - \node (p1) at(-10,16) {\includegraphics[height=3.0cm,width=3cm]{main/2048pic/2_1.png}}; + \node (p1) at(-10,16) {\includegraphics[height=3.0cm,width=3cm]{main/2048pic/2_1}}; - \node (p2) at(-3,16) {\includegraphics[height=3.0cm,width=3cm]{main/2048pic/2_2.png}}; + \node (p2) at(-3,16) {\includegraphics[height=3.0cm,width=3cm]{main/2048pic/2_2}}; - \node (p3) at(3,16) {\includegraphics[height=3.0cm,width=3cm]{main/2048pic/3_1.png}}; + \node (p3) at(3,16) {\includegraphics[height=3.0cm,width=3cm]{main/2048pic/3_1}}; - \node (p4) at(10,16) {\includegraphics[height=3.0cm,width=3cm]{main/2048pic/3_2.png}}; + \node (p4) at(10,16) {\includegraphics[height=3.0cm,width=3cm]{main/2048pic/3_2}}; \draw [-] (p1.north) -- (s11.south); \draw [-] (p2.north) -- (s12.south); \draw [-] (p3.north) -- (s21.south); \draw [-] (p4.north) -- (s22.south); - + + \node (p5) at(-7,30) {\includegraphics[height=3.0cm,width=3cm]{main/2048pic/0}}; - \node (p5) at(-7,30) {\includegraphics[height=3.0cm,width=3cm]{main/2048pic/0.png}}; - - \node (p6) at(10,25) {\includegraphics[height=3.0cm,width=3cm]{main/2048pic/2_0.png}}; + \node (p6) at(10,25) {\includegraphics[height=3.0cm,width=3cm]{main/2048pic/2_0}}; - \node (p7) at(-10,25) {\includegraphics[height=3.0cm,width=3cm]{main/2048pic/2_0.png}}; + \node (p7) at(-10,25) {\includegraphics[height=3.0cm,width=3cm]{main/2048pic/2_0}}; \draw [-] (st.west) -- (p5.east); \draw [-] (as1.west) -- (p7.east); diff --git a/pic/main/2048pic/0.png b/pic/main/2048pic/0.png new file mode 100644 index 0000000..f1e7f79 Binary files /dev/null and b/pic/main/2048pic/0.png differ diff --git a/pic/main/2048pic/2_0.png b/pic/main/2048pic/2_0.png new file mode 100644 index 0000000..fa40579 Binary files /dev/null and b/pic/main/2048pic/2_0.png differ diff --git a/pic/main/2048pic/2_1.png b/pic/main/2048pic/2_1.png new file mode 100644 index 0000000..cc9a6a5 Binary files /dev/null and b/pic/main/2048pic/2_1.png differ diff --git a/pic/main/2048pic/2_2.png b/pic/main/2048pic/2_2.png new file mode 100644 index 0000000..5cbdb15 Binary files /dev/null and b/pic/main/2048pic/2_2.png differ diff --git a/pic/main/2048pic/3_0.png b/pic/main/2048pic/3_0.png new file mode 100644 index 0000000..69bb6f0 Binary files /dev/null and b/pic/main/2048pic/3_0.png differ diff --git a/pic/main/2048pic/3_1.png b/pic/main/2048pic/3_1.png new file mode 100644 index 0000000..8355006 Binary files /dev/null and b/pic/main/2048pic/3_1.png differ diff --git a/pic/main/2048pic/3_2.png b/pic/main/2048pic/3_2.png new file mode 100644 index 0000000..b049b93 Binary files /dev/null and b/pic/main/2048pic/3_2.png differ diff --git a/pic/randomWalk.tex b/pic/randomWalk.tex new file mode 100644 index 0000000..6339781 --- /dev/null +++ b/pic/randomWalk.tex @@ -0,0 +1,20 @@ +\begin{tikzpicture} + \node[draw, rectangle, fill=gray!50] (DEAD) at (-2,0) ; + \node[draw, rectangle, fill=gray!50] (DEAD2) at (10,0) ; + \node[draw, circle] (A) at (0,0) {A}; + \node[draw, circle] (B) at (2,0) {B}; + \node[draw, circle] (C) at (4,0) {C}; + \node[draw, circle] (D) at (6,0) {D}; + \node[draw, circle] (E) at (8,0) {E}; + + \draw[->] (A) -- (DEAD); + \draw[->] (B) -- (A); + \draw[->] (B) to [bend left=30] (C); + \draw[->] (C) to [bend left=30] (B); + \draw[->] (C) to [bend left=30] (D); + \draw[->] (D) to [bend left=30] (C); + \draw[->] (D) -- (E); + \draw[->] (E) -- (DEAD2); + + \draw[->] ([yshift=4ex]C.north) -- ([yshift=4.5ex]C.south); +\end{tikzpicture} \ No newline at end of file diff --git a/pic/randomWalkRestart.tex b/pic/randomWalkRestart.tex new file mode 100644 index 0000000..e6d4f67 --- /dev/null +++ b/pic/randomWalkRestart.tex @@ -0,0 +1,18 @@ +\begin{tikzpicture} + + \node[draw, circle] (A) at (0,0) {A}; + \node[draw, circle] (B) at (2,0) {B}; + \node[draw, circle] (C) at (4,0) {C}; + \node[draw, circle] (D) at (6,0) {D}; + \node[draw, circle] (E) at (8,0) {E}; + + \draw[->] (A.north) to [bend left=30] (C.north) + \draw[->] (B) -- (A); + \draw[->] (B) to [bend left=30] (C); + \draw[->] (C) to [bend left=30] (B); + \draw[->] (C) to [bend left=30] (D); + \draw[->] (D) to [bend left=30] (C); + \draw[->] (D) -- (E); + \draw[->] (E.south) to [bend left=30] (C.south) + +\end{tikzpicture} \ No newline at end of file -- libgit2 0.26.0