数学論文の書き方 - 第１回：入門編
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- そうすけ みやまる
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1 LAT E X
2 LAT E X 1 2 L A T E X 3 4 L A T E X 5
3 LAT E X 1 2 L A T E X 3 4 L A T E X 5
4 LAT E X 1 2 L A T E X 3 4 L A T E X 5
5 LAT E X 1 2 L A T E X 3 4 L A T E X 5
6 LAT E X 1 2 L A T E X 3 4 L A T E X 5
7 Outline LAT E X 1 2 L A T E X 3 4 L A T E X 5
8 LAT E X T E X arai/latex/
9 LAT E X T E X arai/latex/
10 LAT E X T E X arai/latex/
11 LAT E X T E X arai/latex/
12 LAT E X T E X arai/latex/
13 LAT E X ISBN ISBN Kobayashi-Nomizu Strunk and White, The Elemtents of Style, Allyn and Bacon, ISBN X
14 LAT E X ISBN ISBN Kobayashi-Nomizu Strunk and White, The Elemtents of Style, Allyn and Bacon, ISBN X
15 LAT E X ISBN ISBN Kobayashi-Nomizu Strunk and White, The Elemtents of Style, Allyn and Bacon, ISBN X
16 L A T E X LAT E X L A T E X 2ε ISBN L A T E X Windows, Mac OSX L A T E X CD T E X L A T E X Tohoku Math Journal
17 L A T E X LAT E X L A T E X 2ε ISBN L A T E X Windows, Mac OSX L A T E X CD T E X L A T E X Tohoku Math Journal
18 Outline LAT E X 1 2 L A T E X 3 4 L A T E X 5
19 T E X レフェリー 植字技術者 編集者 著者 LAT E X referee 4 referee Journal
20 T E X レフェリー 植字技術者 編集者 著者 LAT E X referee 4 referee Journal
21 T E X レフェリー 植字技術者 編集者 著者 LAT E X referee 4 referee Journal
22 T E X レフェリー 植字技術者 編集者 著者 LAT E X referee 4 referee Journal
23 T E X レフェリー 植字技術者 編集者 著者 LAT E X referee 4 referee Journal
24 T E X レフェリー 植字技術者 編集者 著者 LAT E X referee 4 referee Journal
25 T E X レフェリー 植字技術者 編集者 著者 LAT E X referee 4 referee Journal
26 T E X レフェリー 植字技術者 編集者 著者 LAT E X referee 4 referee Journal
27 T E X レフェリー 植字技術者 編集者 著者 LAT E X referee 4 referee Journal
28 T E X LAT E X Don Donald Ervin Knuth The Art of Computer Programming T E X
29 T E X LAT E X Don Donald Ervin Knuth The Art of Computer Programming T E X
30 T E X LAT E X Don Donald Ervin Knuth The Art of Computer Programming T E X
31 T E X LAT E X Don Donald Ervin Knuth The Art of Computer Programming T E X
32 T E X LAT E X Don Donald Ervin Knuth The Art of Computer Programming T E X
33 T E X LAT E X Don Donald Ervin Knuth The Art of Computer Programming T E X
34 T E X LAT E X Don Donald Ervin Knuth The Art of Computer Programming もうええ! ほな組版まで ぜんぶ我がでやるわ! T E X
35 T E X LAT E X Don Donald Ervin Knuth The Art of Computer Programming もうええ! ほな組版まで ぜんぶ我がでやるわ! T E X
36 T E X L A T E X pl A T E X LAT E X T E X T E X T E X Leslie Lamport T E X L A T E X T E X L A T E X pl A T E X T E X L A T E X
37 T E X L A T E X pl A T E X LAT E X T E X T E X T E X Leslie Lamport T E X L A T E X T E X L A T E X pl A T E X T E X L A T E X
38 T E X L A T E X pl A T E X LAT E X T E X T E X T E X Leslie Lamport T E X L A T E X T E X L A T E X pl A T E X T E X L A T E X
39 T E X LAT E X T E X Word HTML Web T E X/L A T E X MathML Web Web
40 T E X LAT E X T E X Word HTML Web T E X/L A T E X MathML Web Web
41 T E X LAT E X T E X Word HTML Web T E X/L A T E X MathML Web Web
42 T E X LAT E X T E X Word HTML Web T E X/L A T E X MathML Web Web
43 T E X LAT E X T E X Word HTML Web T E X/L A T E X MathML Web Web
44 T E X LAT E X T E X Word HTML Web T E X/L A T E X MathML Web Web
45 T E X LAT E X T E X Word HTML Web T E X/L A T E X MathML Web Web
46 T E X LAT E X T E X Word HTML Web T E X/L A T E X MathML Web Web
47 Outline LAT E X 1 2 L A T E X 3 4 L A T E X 5
48 Web L A T E X LAT E X ONLINE L A T E X on diana L A T E X L A T E X
49 Web L A T E X LAT E X ONLINE L A T E X on diana L A T E X L A T E X
50 LAT E X L A T E X \documentclass{jsarticle} \begin{document} \end{document} \
51 LAT E X L A T E X \documentclass{jsarticle} \begin{document} \end{document} \
52 LAT E X L A T E X \documentclass{jsarticle} \begin{document} \end{document} \
53 L A T E X L A T E X L A T E X \ LAT E X \documentclass{jsarticle} \begin{document} \end{document} T E X T E X
54 L A T E X L A T E X L A T E X \ LAT E X \documentclass{jsarticle} \begin{document} \end{document} T E X T E X
55 L A T E X L A T E X L A T E X \ LAT E X \documentclass{jsarticle} \begin{document} \end{document} T E X T E X
56 L A T E X L A T E X L A T E X \ LAT E X \documentclass{jsarticle} \begin{document} \end{document} T E X T E X
57 L A T E X L A T E X L A T E X \ LAT E X \documentclass{jsarticle} \begin{document} \end{document} T E X T E X
58 L A T E X L A T E X L A T E X \ LAT E X \documentclass{jsarticle} \begin{document} \end{document} T E X T E X
59 L A T E X L A T E X L A T E X \ LAT E X \documentclass{jsarticle} \begin{document} \end{document} T E X T E X
60 LAT E X L A T E X $ \documentclass{jsarticle} \begin{document} $f_0 := xˆ2 + yˆ2$ \end{document} f 0 := x 2 + y 2 ˆ _
61 LAT E X L A T E X $ \documentclass{jsarticle} \begin{document} $f_0 := xˆ2 + yˆ2$ \end{document} f 0 := x 2 + y 2 ˆ _
62 LAT E X L A T E X $ \documentclass{jsarticle} \begin{document} $f_0 := xˆ2 + yˆ2$ \end{document} f 0 := x 2 + y 2 ˆ _
63 LAT E X $$ \documentclass{jsarticle} \begin{document} $$\Gamma = \frac{\alpha + \beta}{\sqrt{\gamma}}$$ \end{document} Γ = α + β γ
64 LAT E X $$ \documentclass{jsarticle} \begin{document} $$\Gamma = \frac{\alpha + \beta}{\sqrt{\gamma}}$$ \end{document} Γ = α + β γ
65 sin, cos, tan LAT E X \documentclass{jsarticle} \begin{document} $\exp(i \theta) = \cos \theta + i \sin \theta$ \end{document} exp(iθ) = cos θ + i sin θ \sin $sin x$ sinx
66 sin, cos, tan LAT E X \documentclass{jsarticle} \begin{document} $\exp(i \theta) = \cos \theta + i \sin \theta$ \end{document} exp(iθ) = cos θ + i sin θ \sin $sin x$ sinx
67 sin, cos, tan LAT E X \documentclass{jsarticle} \begin{document} $\exp(i \theta) = \cos \theta + i \sin \theta$ \end{document} exp(iθ) = cos θ + i sin θ \sin $sin x$ sinx
68 LAT E X \documentclass{jsarticle} \begin{document} $\lim_{n \to \infty} x_n$ $$\lim_{n \to \infty} x_n - \sum_{n = 0}ˆ{\infty} s_n = \int_{0}ˆ{1} g(t) dt$$ \end{document} lim n x n lim x n n s n = n=0 1 0 g(t)dt
69 LAT E X \documentclass{jsarticle} \begin{document} $\lim_{n \to \infty} x_n$ $$\lim_{n \to \infty} x_n - \sum_{n = 0}ˆ{\infty} s_n = \int_{0}ˆ{1} g(t) dt$$ \end{document} lim n x n lim x n n s n = n=0 1 0 g(t)dt
70 LAT E X \documentclass{jsarticle} \begin{document} $\lim_{n \to \infty} x_n$ $$\lim_{n \to \infty} x_n - \sum_{n = 0}ˆ{\infty} s_n = \int_{0}ˆ{1} g(t) dt$$ \end{document} lim n x n lim x n n s n = n=0 1 0 g(t)dt
71 amssymb LAT E X L A T E X \documentclass{jsarticle} \usepackage{amssymb} \begin{document} $Hˆ2(M) = \mathbb{z} \oplus \mathbb{z}_2$ \end{document} H 2 (M) = Z Z 2
72 amssymb LAT E X L A T E X \documentclass{jsarticle} \usepackage{amssymb} \begin{document} $Hˆ2(M) = \mathbb{z} \oplus \mathbb{z}_2$ \end{document} H 2 (M) = Z Z 2
73 amssymb LAT E X L A T E X \documentclass{jsarticle} \usepackage{amssymb} \begin{document} $Hˆ2(M) = \mathbb{z} \oplus \mathbb{z}_2$ \end{document} H 2 (M) = Z Z 2
74 amsmath LAT E X amsmath \documentclass{jsarticle} \usepackage{amsmath} \begin{document} $\begin{pmatrix} 1 & 3 \\ 2 & 4 \end{pmatrix}$, $\begin{bmatrix} 1 & 3 \\ 2 & 4 \end{bmatrix}$, $\begin{vmatrix} 1 & 3 \\ 2 & 4 \end{vmatrix}$ \end{document} ( ) 1 3, 2 4 [ ] 1 3,
75 amsmath LAT E X amsmath \documentclass{jsarticle} \usepackage{amsmath} \begin{document} $\begin{pmatrix} 1 & 3 \\ 2 & 4 \end{pmatrix}$, $\begin{bmatrix} 1 & 3 \\ 2 & 4 \end{bmatrix}$, $\begin{vmatrix} 1 & 3 \\ 2 & 4 \end{vmatrix}$ \end{document} ( ) 1 3, 2 4 [ ] 1 3,
76 amsmath LAT E X amsmath \documentclass{jsarticle} \usepackage{amsmath} \begin{document} $\begin{pmatrix} 1 & 3 \\ 2 & 4 \end{pmatrix}$, $\begin{bmatrix} 1 & 3 \\ 2 & 4 \end{bmatrix}$, $\begin{vmatrix} 1 & 3 \\ 2 & 4 \end{vmatrix}$ \end{document} ( ) 1 3, 2 4 [ ] 1 3,
77 LAT E X L A T E X \documentclass{jsarticle} \usepackage{amssymb} \title{ $\mathbb{z}$} \author{ } \begin{document} \maketitle \end{document}
78 LAT E X L A T E X \documentclass{jsarticle} \usepackage{amssymb} \title{ $\mathbb{z}$} \author{ } \begin{document} \maketitle \end{document}
79 DBZ LAT E X \date{ }
80 DBZ LAT E X \date{ }
81 DBZ LAT E X \date{ }
82 LAT E X { } { } { } { } {,} {}
83 LAT E X { } { } { } { } {,} {}
84 Outline LAT E X 1 2 L A T E X 3 4 L A T E X 5
85 L A T E X LAT E X LaTeX ソース hogetex latex 注意 : この図式は非可換 dvi ファイル hogedvi pdflatex dvips dvipdfm PostScript ファイル hogeps ps2pdf PDF ファイル hogepdf L A T E X dvi T E X PostScript PDF /
86 L A T E X LAT E X L A T E X UNIX emacs hogetex platex hogetex xdvi hogedvi dvipdfm hogedvi acroread hogepdf (LaTeX ) (hogetex hogedvi ) (hogedvi ) (hogedvi hogepdf ) (hogepdf ) emacs platex latex pdflatex
87 L A T E X LAT E X L A T E X UNIX emacs hogetex platex hogetex xdvi hogedvi dvipdfm hogedvi acroread hogepdf (LaTeX ) (hogetex hogedvi ) (hogedvi ) (hogedvi hogepdf ) (hogepdf ) emacs platex latex pdflatex
88 L A T E X LAT E X L A T E X UNIX emacs hogetex platex hogetex xdvi hogedvi dvipdfm hogedvi acroread hogepdf (LaTeX ) (hogetex hogedvi ) (hogedvi ) (hogedvi hogepdf ) (hogepdf ) emacs platex latex pdflatex
89 L A T E X LAT E X L A T E X UNIX emacs hogetex platex hogetex xdvi hogedvi dvipdfm hogedvi acroread hogepdf (LaTeX ) (hogetex hogedvi ) (hogedvi ) (hogedvi hogepdf ) (hogepdf ) emacs platex latex pdflatex
90 L A T E X LAT E X L A T E X UNIX emacs hogetex platex hogetex xdvi hogedvi dvipdfm hogedvi acroread hogepdf (LaTeX ) (hogetex hogedvi ) (hogedvi ) (hogedvi hogepdf ) (hogepdf ) emacs platex latex pdflatex
91 L A T E X LAT E X L A T E X UNIX emacs hogetex platex hogetex xdvi hogedvi dvipdfm hogedvi acroread hogepdf (LaTeX ) (hogetex hogedvi ) (hogedvi ) (hogedvi hogepdf ) (hogepdf ) emacs platex latex pdflatex
92 L A T E X LAT E X L A T E X UNIX emacs hogetex platex hogetex xdvi hogedvi dvipdfm hogedvi acroread hogepdf (LaTeX ) (hogetex hogedvi ) (hogedvi ) (hogedvi hogepdf ) (hogepdf ) emacs platex latex pdflatex
93 L A T E X LAT E X L A T E X UNIX emacs hogetex platex hogetex xdvi hogedvi dvipdfm hogedvi acroread hogepdf (LaTeX ) (hogetex hogedvi ) (hogedvi ) (hogedvi hogepdf ) (hogepdf ) emacs platex latex pdflatex
94 LAT E X This is ptex, Version p3110 (utf8) (Web2C 754) (/240tex platex2e <2006/01/04>+0 (based on LaTeX2e <2005/12/01> patch level 0) (/usr/local/tetex/share/texmf/ptex/platex/jsclasses/jsarticlecls Document Class: jsarticle 2006/11/01 okumura )! Undefined control sequence <recently read> \begn l2 \begn {document}! LaTeX Error: Missing \begin{document} 2 \begn \begin{document}
95 LAT E X This is ptex, Version p3110 (utf8) (Web2C 754) (/240tex platex2e <2006/01/04>+0 (based on LaTeX2e <2005/12/01> patch level 0) (/usr/local/tetex/share/texmf/ptex/platex/jsclasses/jsarticlecls Document Class: jsarticle 2006/11/01 okumura )! Undefined control sequence <recently read> \begn l2 \begn {document}! LaTeX Error: Missing \begin{document} 2 \begn \begin{document}
96 LAT E X { } \begin{hoge} \end{hoge} $! Missing $ inserted? $f_a_c$ f ac $f_{a_c}$
97 LAT E X { } \begin{hoge} \end{hoge} $! Missing $ inserted? $f_a_c$ f ac $f_{a_c}$
98 LAT E X { } \begin{hoge} \end{hoge} $! Missing $ inserted? $f_a_c$ f ac $f_{a_c}$
99 LAT E X { } \begin{hoge} \end{hoge} $! Missing $ inserted? $f_a_c$ f ac $f_{a_c}$
100 LAT E X { } \begin{hoge} \end{hoge} $! Missing $ inserted? $f_a_c$ f ac $f_{a_c}$
101 LAT E X { } \begin{hoge} \end{hoge} $! Missing $ inserted? $f_a_c$ f ac $f_{a_c}$
102 LAT E X { } \begin{hoge} \end{hoge} $! Missing $ inserted? $f_a_c$ f ac $f_{a_c}$
103 LAT E X { } \begin{hoge} \end{hoge} $! Missing $ inserted? $f_a_c$ f ac $f_{a_c}$
104 LAT E X L A T E X % % \documentclass{jsarticle} \begin{document} % % \end{document}
105 LAT E X L A T E X % % \documentclass{jsarticle} \begin{document} % % \end{document}
106 LAT E X L A T E X % % \documentclass{jsarticle} \begin{document} % % \end{document}
107 LAT E X ISO-2022-JP EUC-JP UNIX Shift JIS Windows/Macintosh UTF-8 Unicode Solaris pl A T E X platex EUC-JP platex-jis ISO-2022-JP platex-euc EUC-JP platex-sjis Shift JIS platex-utf8 UTF-8
108 LAT E X ISO-2022-JP EUC-JP UNIX Shift JIS Windows/Macintosh UTF-8 Unicode Solaris pl A T E X platex EUC-JP platex-jis ISO-2022-JP platex-euc EUC-JP platex-sjis Shift JIS platex-utf8 UTF-8
109 nkf LAT E X UNIX nkf nkf -e hogetex > hoge_euctex hogetex EUC-JP hoge_euctex nkf nkf --guess hogetex
110 nkf LAT E X UNIX nkf nkf -e hogetex > hoge_euctex hogetex EUC-JP hoge_euctex nkf nkf --guess hogetex
111 Outline LAT E X 1 2 L A T E X 3 4 L A T E X 5
112 Solaris LAT E X emacs, vi latex, platex L A T E X / tex, ptex plain T E X / pdflatex PDF latex dvips dvi PoistScript dvipdfmx dvi PDF xdvi dvi gv PostScript acroread PDF
113 Solaris LAT E X emacs, vi latex, platex L A T E X / tex, ptex plain T E X / pdflatex PDF latex dvips dvi PoistScript dvipdfmx dvi PDF xdvi dvi gv PostScript acroread PDF
114 Solaris LAT E X emacs, vi latex, platex L A T E X / tex, ptex plain T E X / pdflatex PDF latex dvips dvi PoistScript dvipdfmx dvi PDF xdvi dvi gv PostScript acroread PDF
115 Solaris LAT E X emacs, vi latex, platex L A T E X / tex, ptex plain T E X / pdflatex PDF latex dvips dvi PoistScript dvipdfmx dvi PDF xdvi dvi gv PostScript acroread PDF
116 Solaris LAT E X emacs, vi latex, platex L A T E X / tex, ptex plain T E X / pdflatex PDF latex dvips dvi PoistScript dvipdfmx dvi PDF xdvi dvi gv PostScript acroread PDF
117 Solaris LAT E X emacs, vi latex, platex L A T E X / tex, ptex plain T E X / pdflatex PDF latex dvips dvi PoistScript dvipdfmx dvi PDF xdvi dvi gv PostScript acroread PDF
118 Solaris LAT E X emacs, vi latex, platex L A T E X / tex, ptex plain T E X / pdflatex PDF latex dvips dvi PoistScript dvipdfmx dvi PDF xdvi dvi gv PostScript acroread PDF
119 Solaris LAT E X emacs, vi latex, platex L A T E X / tex, ptex plain T E X / pdflatex PDF latex dvips dvi PoistScript dvipdfmx dvi PDF xdvi dvi gv PostScript acroread PDF
120 Solaris LAT E X emacs, vi latex, platex L A T E X / tex, ptex plain T E X / pdflatex PDF latex dvips dvi PoistScript dvipdfmx dvi PDF xdvi dvi gv PostScript acroread PDF
121 Solaris LAT E X emacs, vi latex, platex L A T E X / tex, ptex plain T E X / pdflatex PDF latex dvips dvi PoistScript dvipdfmx dvi PDF xdvi dvi gv PostScript acroread PDF
122 Solaris LAT E X emacs, vi latex, platex L A T E X / tex, ptex plain T E X / pdflatex PDF latex dvips dvi PoistScript dvipdfmx dvi PDF xdvi dvi gv PostScript acroread PDF
123 Solaris LAT E X emacs, vi latex, platex L A T E X / tex, ptex plain T E X / pdflatex PDF latex dvips dvi PoistScript dvipdfmx dvi PDF xdvi dvi gv PostScript acroread PDF
124 Solaris LAT E X emacs, vi latex, platex L A T E X / tex, ptex plain T E X / pdflatex PDF latex dvips dvi PoistScript dvipdfmx dvi PDF xdvi dvi gv PostScript acroread PDF
125 LAT E X T E X / L A T E X T E X T E X Wiki okumura/texwiki/ L A T E X arai/ arai
126 LAT E X T E X / L A T E X T E X T E X Wiki okumura/texwiki/ L A T E X arai/ arai
127 LAT E X T E X / L A T E X T E X T E X Wiki okumura/texwiki/ L A T E X arai/ arai
128 Mac OSX LAT E X L A T E X CD kiriki/ptex/ PDF TeXShop PDF PDFView T E X Skim PDF T E X
129 Mac OSX LAT E X L A T E X CD kiriki/ptex/ PDF TeXShop PDF PDFView T E X Skim PDF T E X
130 Mac OSX LAT E X L A T E X CD kiriki/ptex/ PDF TeXShop PDF PDFView T E X Skim PDF T E X
131 Mac OSX LAT E X L A T E X CD kiriki/ptex/ PDF TeXShop PDF PDFView T E X Skim PDF T E X
132 Mac OSX LAT E X L A T E X CD kiriki/ptex/ PDF TeXShop PDF PDFView T E X Skim PDF T E X
133 Mac OSX LAT E X L A T E X CD kiriki/ptex/ PDF TeXShop PDF PDFView T E X Skim PDF T E X
134 Mac OSX LAT E X L A T E X CD kiriki/ptex/ PDF TeXShop PDF PDFView T E X Skim PDF T E X
135 Mac OSX LAT E X L A T E X CD kiriki/ptex/ PDF TeXShop PDF PDFView T E X Skim PDF T E X
136 Windows LAT E X T E X 3 (kakuto3exe) abenori/mycreate/ kakuto3exe W32TeX T E X WinShell T E X dviout dvi GSView PostScipt
137 Windows LAT E X T E X 3 (kakuto3exe) abenori/mycreate/ kakuto3exe W32TeX T E X WinShell T E X dviout dvi GSView PostScipt
138 Windows LAT E X T E X 3 (kakuto3exe) abenori/mycreate/ kakuto3exe W32TeX T E X WinShell T E X dviout dvi GSView PostScipt
139 Windows LAT E X T E X 3 (kakuto3exe) abenori/mycreate/ kakuto3exe W32TeX T E X WinShell T E X dviout dvi GSView PostScipt
140 Windows LAT E X T E X 3 (kakuto3exe) abenori/mycreate/ kakuto3exe W32TeX T E X WinShell T E X dviout dvi GSView PostScipt
141 Windows LAT E X T E X 3 (kakuto3exe) abenori/mycreate/ kakuto3exe W32TeX T E X WinShell T E X dviout dvi GSView PostScipt
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...............................................
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微分積分 サンプルページ この本の定価 判型などは, 以下の URL からご覧いただけます. このサンプルページの内容は, 初版 1 刷発行時のものです.
微分積分 サンプルページ この本の定価 判型などは, 以下の URL からご覧いただけます. ttp://www.morikita.co.jp/books/mid/00571 このサンプルページの内容は, 初版 1 刷発行時のものです. i ii 014 10 iii [note] 1 3 iv 4 5 3 6 4 x 0 sin x x 1 5 6 z = f(x, y) 1 y = f(x)
f(x) = x (1) f (1) (2) f (2) f(x) x = a y y = f(x) f (a) y = f(x) A(a, f(a)) f(a + h) f(x) = A f(a) A x (3, 3) O a a + h x 1 f(x) x = a
3 3.1 3.1.1 A f(a + h) f(a) f(x) lim f(x) x = a h 0 h f(x) x = a f 0 (a) f 0 (a) = lim h!0 f(a + h) f(a) h = lim x!a f(x) f(a) x a a + h = x h = x a h 0 x a 3.1 f(x) = x x = 3 f 0 (3) f (3) = lim h 0 (
K E N Z U 01 7 16 HP M. 1 1 4 1.1 3.......................... 4 1.................................... 4 1..1..................................... 4 1...................................... 5................................
[] x < T f(x), x < T f(x), < x < f(x) f(x) f(x) f(x + nt ) = f(x) x < T, n =, 1,, 1, (1.3) f(x) T x 2 f(x) T 2T x 3 f(x), f() = f(t ), f(x), f() f(t )
![[] x < T f(x), x < T f(x), < x < f(x) f(x) f(x) f(x + nt ) = f(x) x < T, n =, 1,, 1, (1.3) f(x) T x 2 f(x) T 2T x 3 f(x), f() = f(t ), f(x), f() f(t )](/thumbs/85/91744595.jpg "[] x < T f(x), x < T f(x), < x < f(x) f(x) f(x) f(x + nt ) = f(x) x < T, n =, 1,, 1, (1.3) f(x) T x 2 f(x) T 2T x 3 f(x), f() = f(t ), f(x), f() f(t )")
1 1.1 [] f(x) f(x + T ) = f(x) (1.1), f(x), T f(x) x T 1 ) f(x) = sin x, T = 2 sin (x + 2) = sin x, sin x 2 [] n f(x + nt ) = f(x) (1.2) T [] 2 f(x) g(x) T, h 1 (x) = af(x)+ bg(x) 2 h 2 (x) = f(x)g(x)
II No.01 [n/2] [1]H n (x) H n (x) = ( 1) r n! r!(n 2r)! (2x)n 2r. r=0 [2]H n (x) n,, H n ( x) = ( 1) n H n (x). [3] H n (x) = ( 1) n dn x2 e dx n e x2
![II No.01 [n/2] [1]H n (x) H n (x) = ( 1) r n! r!(n 2r)! (2x)n 2r. r=0 [2]H n (x) n,, H n ( x) = ( 1) n H n (x). [3] H n (x) = ( 1) n dn x2 e dx n e x2](/thumbs/101/149159646.jpg "II No.01 [n/2] [1]H n (x) H n (x) = ( 1) r n! r!(n 2r)! (2x)n 2r. r=0 [2]H n (x) n,, H n ( x) = ( 1) n H n (x). [3] H n (x) = ( 1) n dn x2 e dx n e x2")
II No.1 [n/] [1]H n x) H n x) = 1) r n! r!n r)! x)n r r= []H n x) n,, H n x) = 1) n H n x) [3] H n x) = 1) n dn x e dx n e x [4] H n+1 x) = xh n x) nh n 1 x) ) d dx x H n x) = H n+1 x) d dx H nx) = nh
1 I 1.1 ± e = = - = C C MKSA [m], [Kg] [s] [A] 1C 1A 1 MKSA 1C 1C +q q +q q 1
![1 I 1.1 ± e = = - = C C MKSA [m], [Kg] [s] [A] 1C 1A 1 MKSA 1C 1C +q q +q q 1](/thumbs/94/121802164.jpg "1 I 1.1 ± e = = - = C C MKSA [m], [Kg] [s] [A] 1C 1A 1 MKSA 1C 1C +q q +q q 1")
1 I 1.1 ± e = = - =1.602 10 19 C C MKA [m], [Kg] [s] [A] 1C 1A 1 MKA 1C 1C +q q +q q 1 1.1 r 1,2 q 1, q 2 r 12 2 q 1, q 2 2 F 12 = k q 1q 2 r 12 2 (1.1) k 2 k 2 ( r 1 r 2 ) ( r 2 r 1 ) q 1 q 2 (q 1 q 2
1 θ i (1) A B θ ( ) A = B = sin 3θ = sin θ (A B sin 2 θ) ( ) 1 2 π 3 < = θ < = 2 π 3 Ax Bx3 = 1 2 θ = π sin θ (2) a b c θ sin 5θ = sin θ f(sin 2 θ) 2
θ i ) AB θ ) A = B = sin θ = sin θ A B sin θ) ) < = θ < = Ax Bx = θ = sin θ ) abc θ sin 5θ = sin θ fsin θ) fx) = ax bx c ) cos 5 i sin 5 ) 5 ) αβ α iβ) 5 α 4 β α β β 5 ) a = b = c = ) fx) = 0 x x = x =
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![(1) D = [0, 1] [1, 2], (2x y)dxdy = D = = (2) D = [1, 2] [2, 3], (x 2 y + y 2 )dxdy = D = = (3) D = [0, 1] [ 1, 2], 1 {](/thumbs/94/118399854.jpg "(1) D = [0, 1] [1, 2], (2x y)dxdy = D = = (2) D = [1, 2] [2, 3], (x 2 y + y 2 )dxdy = D = = (3) D = [0, 1] [ 1, 2], 1 {")
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. () x 3 + dx () (x )(x ) dx + sin x sin x( + cos x) dx () x 3 3 x + + 3 x + 3 x x + x 3 + dx 3 x + dx 6 x x x + dx + 3 log x + 6 log x x + + 3 rctn ( ) dx x + 3 4 ( x 3 ) + C x () t x t tn x dx x. t x