数学論文の書き方 - 第2回：基礎編

Size: px

Start display at page:

Download "数学論文の書き方 - 第2回：基礎編"

ことこかたづ
5 years ago
Views:

2 1 2 3 amscd xy-pic 4 5

3 1 2 3 amscd xy-pic 4 5

4 1 2 3 amscd xy-pic 4 5

5 1 2 3 amscd xy-pic 4 5

6 1 2 3 amscd xy-pic 4 5

7 Outline amscd xy-pic 4 5

8 amsart, L A T E X \documentclass{} article jarticle article jsarticle article book jbook book jsbook book amsart AMS kusm26 Jounaral of Mathematics of Kyoto Univerisity

9 cls L A T E X article Journal of Mathematics of Kyoto University jmku26cls L A T E X /

10 cls L A T E X article Journal of Mathematics of Kyoto University jmku26cls L A T E X /

11 cls L A T E X article Journal of Mathematics of Kyoto University jmku26cls L A T E X /

12 chapter, section, subsection, \maketitile abstract \begin{abstract}\end{abstract} introduction section 1 sections \section{ }

13 chapter, section, subsection, \maketitile abstract \begin{abstract}\end{abstract} introduction section 1 sections \section{ }

14 amsmath amsthm \documentclass{jsarticle} \usepackage{amsthm} \newtheorem{dfn}{} \newtheorem{thm}{} \begin{document} \begin{dfn} \end{dfn} \begin{thm} \end{thm} \end{document}

15 1 1 \newtheorem{}{} \begin{}\end{} \newtheorem{thm}{} \newtheorem{dfn}[thm]{} \newtheorem{lem}[thm]{}

16 1 1 \newtheorem{}{} \begin{}\end{} \newtheorem{thm}{} \newtheorem{dfn}[thm]{} \newtheorem{lem}[thm]{}

17 1 1 \newtheorem{}{} \begin{}\end{} \newtheorem{thm}{} \newtheorem{dfn}[thm]{} \newtheorem{lem}[thm]{}

18 \label{ } \ref{ } \documentclass{jsarticle} \usepackage{amsthm} \newtheorem{thm}{} \newtheorem{lem}[thm]{} \begin{document} \begin{lem} \label{poincare} \end{lem} \begin{thm} \label{euler} \end{thm} \ref{poincare}\ref{euler} \end{document}

19 \label{ } \ref{ } \documentclass{jsarticle} \usepackage{amsthm} \newtheorem{thm}{} \newtheorem{lem}[thm]{} \begin{document} \begin{lem} \label{poincare} \end{lem} \begin{thm} \label{euler} \end{thm} \ref{poincare}\ref{euler} \end{document}

20 ?? \label{} \ref{}

21 ?? \label{} \ref{}

22 proof \begin{thm} \end{thm} \begin{proof} \end{proof} 1 Proof

23 proof \begin{thm} \end{thm} \begin{proof} \end{proof} 1 Proof

24 Outline amscd xy-pic 4 5

29 bibliography thebibliography \cite{ } \documentclass{jsarticle} \begin{document} Milnor \cite{mil04} \begin{thebibliography}{99} \bibitem{mil04} J Milnor, Pasting together Julia sets: a worked out example of mating, {\it Experiment Math} {\bf 13}, (2004), \end{thebibliography} \end{document}

30 bibliography thebibliography \cite{ } \documentclass{jsarticle} \begin{document} Milnor \cite{mil04} \begin{thebibliography}{99} \bibitem{mil04} J Milnor, Pasting together Julia sets: a worked out example of mating, {\it Experiment Math} {\bf 13}, (2004), \end{thebibliography} \end{document}

31 Milnor の最近の結果 [1] により云々参考文献 [1] J Milnor, Pasting together Julia sets: a worked out example of mating, Experiment Math 13, (2004), \begin{thebibliography}{99}

32 Milnor の最近の結果 [1] により云々参考文献 [1] J Milnor, Pasting together Julia sets: a worked out example of mating, Experiment Math 13, (2004), \begin{thebibliography}{99}

33 Outline amscd xy-pic 4 5

34 amscd $$ \begin{cd} \\ D \end{cd} $$ A B C D

35 amscd $$ \begin{cd} \\ D \end{cd} $$ A B C D

36 @>f>> 3

37 @>f>> 3

38 @>f>> 3

39 @>f>> 3

40 @>f>> 3

41 @>f>> 3

42 $$ \begin{cd} @VV{\psi}V \\ F \end{cd} $$ A φ C f B C g ψ E h F

43 $$ \begin{cd} @VV{\psi}V \\ F \end{cd} $$ A φ C f B C g ψ E h F

44 xypic \usepackage[all]{xy} $$\xymatrix{ A \ar[rr] & & B \ar[dl] \\ & C \ar[ul] & }$$ A B C

45 xypic \usepackage[all]{xy} $$\xymatrix{ A \ar[rr] & & B \ar[dl] \\ & C \ar[ul] & }$$ A B C

46 xypic xymatrix pmatrix & \\ \ar[ul] [] u d l r \ar[r]ˆf \ar[r]_f \ar[r] f \ar@{=>} \ar

47 xypic xymatrix pmatrix & \\ \ar[ul] [] u d l r \ar[r]ˆf \ar[r]_f \ar[r] f \ar@{=>} \ar

48 xypic xymatrix pmatrix & \\ \ar[ul] [] u d l r \ar[r]ˆf \ar[r]_f \ar[r] f \ar@{=>} \ar

49 xypic xymatrix pmatrix & \\ \ar[ul] [] u d l r \ar[r]ˆf \ar[r]_f \ar[r] f \ar@{=>} \ar

50 xypic xymatrix pmatrix & \\ \ar[ul] [] u d l r \ar[r]ˆf \ar[r]_f \ar[r] f \ar@{=>} \ar

51 xypic xymatrix pmatrix & \\ \ar[ul] [] u d l r \ar[r]ˆf \ar[r]_f \ar[r] f \ar@{=>} \ar

52 $$\xymatrix{ A \ar@{=>}[rr] f & & B \ar@{>}[d]ˆg \\ C \ar@{=}[r] & D \ar[ul] \ar@{ >}[ur] & E \ar[l] \\ F \ar[u] \ar[r] \ar@{}[ur] {\circlearrowleft} & G \ar[u] }$$ A f B C F D G E g

53 $$\xymatrix{ A \ar@{=>}[rr] f & & B \ar@{>}[d]ˆg \\ C \ar@{=}[r] & D \ar[ul] \ar@{ >}[ur] & E \ar[l] \\ F \ar[u] \ar[r] \ar@{}[ur] {\circlearrowleft} & G \ar[u] }$$ A f B C F D G E g

54 $$\xymatrix{ A \ar@(ur,ul)[rr]ˆf \ar[r] & B \ar[r] & C \ar@(dl,dr)[l]ˆg }$$ A f B C g

55 $$\xymatrix{ A \ar@(ur,ul)[rr]ˆf \ar[r] & B \ar[r] & C \ar@(dl,dr)[l]ˆg }$$ A f B C g

56 ) u ul ur l r dl d dr

57 ) u ul ur l r dl d dr

58 Outline amscd xy-pic 4 5

59 graphicx L A T E X graphicx \documentclass{jsarticle} \usepackage{graphicx} \begin{document} don \includegraphics{knutheps} \end{document} don

60 graphicx L A T E X graphicx \documentclass{jsarticle} \usepackage{graphicx} \begin{document} don \includegraphics{knutheps} \end{document} don

61 Encapsulated PostScript L A T E X Encapsulated PostScript (EPS) UNIX convert hogegif hogeeps hogegif hogeeps Solaris tgif xfig

62 Encapsulated PostScript L A T E X Encapsulated PostScript (EPS) UNIX convert hogegif hogeeps hogegif hogeeps Solaris tgif xfig

63 figure figure L A T E X \begin{figure}\end{figure} figure figure L A T E X \begin{figure}[htb] [] h t b p \caption{} \label{} \ref{}

64 figure figure L A T E X \begin{figure}\end{figure} figure figure L A T E X \begin{figure}[htb] [] h t b p \caption{} \label{} \ref{}

65 figure figure L A T E X \begin{figure}\end{figure} figure figure L A T E X \begin{figure}[htb] [] h t b p \caption{} \label{} \ref{}

66 figure figure L A T E X \begin{figure}\end{figure} figure figure L A T E X \begin{figure}[htb] [] h t b p \caption{} \label{} \ref{}

67 figure figure L A T E X \begin{figure}\end{figure} figure figure L A T E X \begin{figure}[htb] [] h t b p \caption{} \label{} \ref{}

68 figure \begin{figure}[tbh] \centering \includegraphics{knutheps} \caption{don Knuth} \label{don} \end{figure} \ref{don}knuth 図 1 Don Knuth 図 1 が示すように Knuth は頑固者である

$figure \begin{figure}[tbh] \centering \includegraphics{knutheps} \caption{don$

69 figure \begin{figure}[tbh] \centering \includegraphics{knutheps} \caption{don Knuth} \label{don} \end{figure} \ref{don}knuth 図 1 Don Knuth 図 1 が示すように Knuth は頑固者である

70 Outline amscd xy-pic 4 5

71 Web form arxiv

72 Web form arxiv

73 Web form arxiv

74 Web form arxiv

75 Web form arxiv

76 Web form arxiv

77 Web form arxiv

78 Web form arxiv

79 Web form arxiv

80 MathSciNet Iss sa

81 MathSciNet Iss sa

82 MathSciNet Iss sa

TEX tex.html 1.2 ISBN ISBN Kobayashi-Nomizu Strunk and White, T

TEX tex.html 1.2 ISBN ISBN Kobayashi-Nomizu Strunk and White, T Karel Svadlenka 2018 5 11 1 1 1.1........................................... 1 1.2................................................ 2 2 2 3 L A TEX 2 4 4 5 L A TEX 9 5.1...............................................