:15: :..

Transcription

1 :15: : (Small Basic ) Small Basic For While (TEX ) 25 1 TEX TEX () TeX

2 (50%) (50%) () 1: 2: 2 (Small Basic ) 1 (1.1) 01 (1) (2) (3) 2 (4) Windows 7 1.txt txt 2 URL (1.2) 3 (1.3) Excel Excel = = Excel IF IF 3 Excel

3 IF(,, ) Excel = IF(A1 > 3, "3 ", "") Excel 3: Excel (3) A 90! () IF C1 C (4) A 10 SS10 () IF D1 D100 (5) A 7 IF E1 E100 B E IF 4: 02 (1.4) 02 Excel Excel (1) grades.txt A A1 A100 ( ) (2) A 60 B IF B A1 70 B1 A2 50 B2 IF B1 B100 2 Small Basic (2.1) Small Basic

4 Microsoft Small Basic SmallBasic.msi Small Basic 4 Small Basic ( ) Small Basic Small Basic () 7: 6: Small Basic 5: Small Basic 1 Small Basic C: Program Files (x86) Microsoft Small Basic SB (textttsb.exe ) 1 TextWindow. WriteLine ("") 8: (2.2) 4 Windows Windows XP OS.NET Framework 3.5 SP1

5 Enter Tab 5 6 Press any key to continue....sb 3 4.sb :.exe :.pdb :.dll :.exe.dll.dll 1 (2.3).sb.sb Small Basic -.sb Small Basic.sb Small Basic 7 5 Small Basic 6 7 (2.4) 03 Small Basic.sb sb (2.5) : (2.6) 1 (2.7) ( ) 1 TextWindow. WriteLine ("") 2 3 ( ) 8 3 () 1 2

6 TextWindow ForegroundColor TextWindow. ForegroundColor = " Green " 4 TextWindow. WriteLine ("") : 1 1 : : ( ): : (2.8) Small Basic 9 / Math.Remainder(, ) 10 1: + = - <> * > () / >= Math.Remainder < <= And + Or (2.9) TextWindow.Write TextWindow.WriteLine 2 () (") 1 TextWindow. Write ("1 + 2 = ") 2 TextWindow. WriteLine (1 + 2) 3 TextWindow. Write (" a+ b = ") 4 TextWindow. WriteLine ("a" + "b") 5 TextWindow. Write (" 1+ 2 = ") 6 TextWindow. WriteLine ("1" + "2") 9 Green Black, Blue, Cyan, Gray, Magenta, Red, White, Yellow, DarkBlue, DarkCyan, DarkGray, DarkGreen, DarkMagenta, DarkRed, DarkYellow 10 (not) = 3

7 a+ b = ab = (2.10) 04.sb sb Small Basic 1 White 2 Green 3 Blue 4 Cyan 3 a c 2 (3.2) TextWindow.Read Enter + = 37 * 3 = / 8 = = 2 1 TextWindow. WriteLine (" ") 2 a = TextWindow. Read () 3 TextWindow. WriteLine (" " + a) 3 (3.1) If Small Basic 1 a = 3 2 b = "c" 3 TextWindow. WriteLine ( a) 4 TextWindow. WriteLine ("a") 5 TextWindow. WriteLine ( b) 11 Perl 2 (3.3) 05.sb (1) (2) (3) 1 ( ) (4)

8 (5) (6) 2 ( ) (3.4) TextWindow.ReadNumber (3.5) " 2 " a*2 () + () a*2 a*2 a+2 (a+2) (3.6) 06.sb (1) A 72mB 80m (2) (3) (4) B m A () 1 TextWindow. WriteLine ("") 2 a = TextWindow. ReadNumber () 3 TextWindow. WriteLine ("2 " + a *2) A 7 2 m B 8 0 m 10 B m A Perl 23 A 7 2 m B 8 0 m 23 B m A

9 ( 4 ) 3 If point >= 60 Then 4 TextWindow. WriteLine ("") 5 TextWindow. WriteLine ("") 6 EndIf 4 (4.1) If If 9: If (4.2) Else If Else 10: Else (If..Then..EndIf) If Then ( ) EndIf Math.GetRandomNumber(100) point 60 If 1 point = Math. GetRandomNumber (100) 2 TextWindow. WriteLine ( point ) If Then (If..Then..Else..EndIf)

10 Else EndIf If Else 1 t = TextWindow. ReadNumber () 2 If t >= 25 Then 3 TextWindow. WriteLine (" ") 4 Else 5 TextWindow. WriteLine (" ") 6 EndIf (4.4) 07 1.sb (1) (2) (3) x 6x (x < 3) () = 3x + 8 (x 3) (4.3) If t >= 25 Then Enter 2 (4.5) ElseIf If ElseIf 13 Then Enter If t >= 25 Then _ <- 13 If ElseIf () Else 1

11 : If ElseIf Else ElseIf 1 h = Clock. Hour 2 If h <= 7 Then 3 TextWindow. WriteLine ("") 4 ElseIf h >= 9 And h < 18 Then 5 TextWindow. WriteLine ("") 6 Else 7 TextWindow. WriteLine (" ") 8 EndIf 16:30 (4.6) 08 2.sb ElseIf 1 (If..Then..ElseIf..Else..EndIf) If 1 Then 1 ElseIf 2 Then 2 : Else EndIf (1) (2) (3) 60 (4) 60 (5) 90 A (6) F* 70 1 Clock.Hour A 2

12 (4.7) 09.sb Math.Max 14 (1) 3 (2) 3 (3) 3 = = 6 2, 3, 4 (4.8) 10 # () 09.sb If Math.Max (4.9) 11 # () 09.sb Math.Max Math.Min If 2 Else ElseIf Math.Min 15 If Math.Max Math.Min 5 For (5.1) For For For For 1 For i = 1 To 18 2 TextWindow. WriteLine ("") 3 EndFor i 1 18 For EndFor (For) For = To EndFor For 1 For j = 3 To 5 2 TextWindow. WriteLine (j + "") 3 EndFor (5.2) 12 For For.sb (1) 1 3 1

13 (2) (3) (4) ( ) (5.3) Step # For Step Step For = To Step EndFor Step 1 For j = 3 To 8 Step 2 2 TextWindow. WriteLine (j + "") 3 EndFor (5.4) 13 # Step ().sb ( ) Math.SquareRoot (5.5) For For 1 sum = 0 2 For k = 1 To sum = sum + k* k 4 EndFor 5 TextWindow. WriteLine (" = " + sum ) sum = sum + k*k sum sum + k*k For 1 sum k*k = = (5.6) 14.sb (1)

14 (2) ( λ ) (3) 1 λ 16 (4) = 88 = (5.7) 15 # ().sb (1) (2) ( λ ) (3) 1 λ F 1 = 1, F 2 = 1, F n+2 = F n+1 + F n (1) (2) (3) (5.8) 16 # ().sb 16 π 2 /6 6 While (6.1) While While For For While 1718 (While) While EndWhile 17 For 18 ( ) If

15 : While (6.2) 17.sb (1) (2) ( λ ) (3) λ = 2 n a (a ) a λ 2 a a λ λ λ/2 100 While 1 sum = 0 2 While sum <= TextWindow. WriteLine (" ") 4 money = TextWindow. ReadNumber () 5 sum = sum + money 6 EndWhile 7 TextWindow. WriteLine ( sum + " ") :

16 (6.3) While "true" ( ) TextWindow. WriteLine ("2 ") 2 While " true " 3 a = TextWindow. ReadNumber () 4 TextWindow. WriteLine ("2 " + a*a) 5 EndWhile : 2, 4, 6 (6.4) Goto Goto 21 Goto 3 22 Goto 19 ( ) "false" 20 "true"1< If For While (A) Goto hogehoge (B) hogehoge : (C) Goto hogehoge (A) Goto hogehoge: (C) (B) (6.5) While Goto 23 (6.3) 0 1 TextWindow. WriteLine ("2 ") 2 While " true " 3 a = TextWindow. ReadNumber () 4 If a = 0 Then 5 Goto finish 6 EndIf 7 TextWindow. WriteLine ("2 " + a*a) 8 EndWhile 9 finish : 10 TextWindow. WriteLine ("") Small Basic Goto ( break )

17 , 4, 6 (6.6) 18.sb (1) (2) (3) 0 (1) (4) 0 = (i) λ µ r (ii) r = 0 µ λ µ. (iii) r 0 λ = µ, µ = r = = 105 2, 4, 6, 8 (6.7) 19 # ().sb (1) 2 (2) 2 ( λ, µ ) (3) λ, µ = (7.1) ( ) Small Basic Small Basic

18 : (7.2) Small Basic Sub ( ) EndSub ( ) Hantei , 2, 9 13, 4, 5, TextWindow. WriteLine ("") 2 point = TextWindow. ReadNumber () 3 Hantei () 4 TextWindow. WriteLine ("") 5 point = TextWindow. ReadNumber () 6 Hantei () 7 8 Sub Hantei 9 If point >= 60 Then

19 TextWindow. WriteLine ("") 11 Else 12 TextWindow. WriteLine ("") 13 EndIf 14 EndSub , 5 (7.3) 20.sb 2 (1) (2) (3) 2 (4) (5) (6) , 5 (7.4) Fibonacci TextWindow. WriteLine ("2 ") 2 s = TextWindow. ReadNumber () 3 t = TextWindow. ReadNumber () 4 5 n = s 6 Fibonacci () 7 TextWindow. Write (a + ", ") 8 9 n = t 10 Fibonacci () 11 TextWindow. WriteLine ( a) Sub Fibonacci 14 x = Math. Power ( , n) 15 y = Math. SquareRoot (5) 16 a = Math. Round (x / y) 17 EndSub Math.Round(x) x Math.Power(x, n) x n , 5 2, 3 (7.5) 21 Fibonacci 25 n a 16 ()

20 sb (1) (2) ( λ ) (3) 1 λ (8.1) Math Small Basic Math. Math.Pi ( ) Math.Pi Math.Cos(x) Math.Sin(x) Math.Tan(x) Math.ArcCos(x) Math.ArcSin(x) Math.ArcTan(x) 2: cos x sin x tan x cos 1 x sin 1 x tan 1 x Math.Log(x) log 10 x Math.NaturalLog(x) log e x Math.Max(x, y) x y Math.Min(x, y) x y Math.Ceiling(x) x Math.Floor(x) x Math.Round(x) x Math.Abs(x) x Math.Power(x, y) Math.SquareRoot(x) Math.Remainder(x, y) Math.GetRandomNumber(max) Math.GetDegrees(x) Math.GetRadians(x) x y x x y 1 max x x Math.GetDegrees Math.GetRadians (8.2) Text Small Basic Text. 3: Text.Append(text1, text2) 2 Text.GetLength(text)

21 Text.ConvertToLowerCase(text) Text.ConvertToUpperCase(text) Text.GetCharacter(code) code Text.GetCharacterCode(ch) ch Text.GetIndexOf(text, subtext) text subtext 0 Text.GetSubText(text, start, len) text start len Text.GetSubTextToEnd(text, start) text start Text.IsSubText(text, subtext) text subtext True Text.StartsWith(text, subtext) text subtext True Text.EndsWith(text, subtext) text subtext True Unicode Text.Append + (8.3) 22 # ().sb a b a b , (8.4) 23 # ().sb (1) 3 (2) ( λ ) (3) λ 3 (4) λ hokkyodai 3 h o k 3 d a i 2 3 tt 2 (1) a b a b (2) 2 ( 2 α, β ) (3) α β α β 9 (9.1) y = f(x) f(x) = 0 x () 26 : (Math.Log) 1000

22 f(x) f (x) 0 x = x 0 y = f(x) x = x 0 y f(x 0 ) = f (x 0 )(x x 0 ) x y = 0 x = x 0 f(x 0) f (x 0 ) x f(x) 27 15: (#) 2 1 x = 2 2 While " true " 3 dx = (x*x -2) / (2* x) 4 if Math. Abs (dx) < Then 5 Goto finish 6 EndIf 7 x = x - dx 8 EndWhile 9 finish : 10 TextWindow. WriteLine ( x) x 0 x 0 f(x) x 0 x 0 x 0 (9.2) 24.sb (#) x 0 x f(x 0 )/f (x 0 ) 2 x 2 2 (1) 5 x 5 10x + 10 = x 0

23 (12.1) 25 # ().sb (1) ( λ ) (2) λ Program.Delay(msec) msec 1 For Step ( 1) i 0 λ λ i λ 0 (12.2) 26 # ().sb (1) ( λ ) (2) λ (12.3) 27 # ().sb (1) ( λ ) (2) λ λ (12.4) 28 # ().sb (1) 2 (2) 2

24 , 3 (12.5) 29 # ().sb 28 (1) (2) (12.7) 31 # ().sb (1) ( m ) (2) ( x ) (3) xy 1 m y m x y , (12.6) 30 # ().sb (1) (2) p p : λ λ ( t ) t λ/t 8 2 2, 4

25 hyphenation office office 3 (TEX ) 1 TEX TEX(, ) TEX OS 29 TEX L A TEX2 ε ( ) TEX (1) 6 LaTeX2e (ISBN ) DVD-ROM Windows Macintosh (2) Windows TeX 30 (3) Windows (4) Linux apt-get (synaptic) 29 OS TEX TEX WYSIWYG (what you see is what you get. ) HTML 30 texworks 2 TEX TEX Microsoft Word Pdf TEX.tex.dvi.tex.pdf.dvi TeXworks TEX TeXworks ( ) 17: texworks 16: texworks

26 (2.1) 51 TEX L A TEX2 ε tex (\) (Y) tex 1 \ documentclass { jarticle } 2 \ begin { document } 3 4 \ end { document } \documentclass{jarticle} jarticle 4: article jarticle tarticle jsarticle report jreport treport () book jbook tbook jsbook \documentclass[a4j,12pt]{jarticle} 1 31 \begin{document} \end{document} document pdf (1) tex (2) pdf pdf pdf 31 a4j, b5j: a4paper landscape: 10pt, 11pt, 12pt: twocolumn: 2 (2.2) tex (%) () tex 1 \ documentclass { jarticle } 2 \ begin { document } 3 % 4 \ end { document } (2.3) Microsoft Word TEX () () () () 1 () () 1 \ documentclass { jarticle } 2 \ begin { document } 3 t e x 4

27 She wore a yellow ribbon. 8 \ end { document } \TeX 1 (2.5) tex ( ) tex She wore a yellow ribbon. (2.4) \documentclass{jarticle} \ ( Y) TEX \TeX TEX 1 \ documentclass { jarticle } 2 \ begin { document } 3 \ TeX is joyful. % 4 \ TeX {} is joyful. % 5 {\ TeX } is joyful. % 6 \ end { document } % \ TeXis joyful.? TEXis joyful. TEX is joyful. TEX is joyful. TEX \TeX % # $ % & _ { } \ ^ ~ < > 1 \ documentclass { jarticle } 2 \ begin { document } 3 \# \$ \% \& \_ \{ \} 4 \ end { document } # $ % & { } \verb \verb foo ( ) 1 \ documentclass { jarticle } 2 \ begin { document } 3 \ verb@ \@ \ verb $29 > $28 4 \ end { document }

28 \ $29 > $28 < > (2.6) 52 tex ( tex ) () TEX TEX %\% 2 \verb 1 % 2 %tex TEX TeX () 3 () ( ) () TEX jarticle (3.1) jarticle \paragraph 5: \section \section{ } \subsection \subsection{} \subsubsection \subsubsection{} \paragraph \paragraph{} () () 1 \ documentclass { jarticle } 2 \ begin { document } 3 4 \ section { } 5 \ subsection { } 6 7 s e c t i o n 8 s u b s e c t i o n 9 10 \ subsection { } p a r a g r a p h 14

29 \underline{} 17 \newpage 18 \ end { document } \\ TEX section subsection 1.2 paragraph \\() \\ \\[1cm] \\ \relax \\ \relax [] (3.2) ( ) TEX ( ) () 6: ()

30 (3.3) () 7: \tiny \scriptsize \footnotesize \small \normalsize \large \Large \LARGE \huge \Huge Sample Sample Sample Sample Sample Sample Sample Sample Sample Sample {\small } ({ }) 1 \ documentclass { jarticle } 2 \ begin { document } 3 {\ small } 4 5 \ large \ end { document } 8: \textrm{roman} Roman \textbf{bold} Bold \textit{italic} Italic \textsl{slant} Slant \textsf{sans Serif} Sans Serif \texttt{typewriter} Typewriter \textsc{small Caps} Small Caps \textgt{} \small \small small \textrm \underline underline (3.4) 53 tex ( tex )

31 section subsection 1.2 paragraph 4 (4.1) \begin{document} \end{document} \begin \end document 9: quote quotation flushright flushleft center paragraph footnotesize 2.2 textsf read me! textbf Large like this 12 \ begin { flushright } 13 TEX \ end { flushright } \ begin { center } 1 \ documentclass { jarticle } 2 \ begin { document } 3 4 \ begin { quotation } 5 6 \ end { quotation } 7 8 \ begin { flushleft } 9 \ Large 10 \ end { flushleft } 11

32 \ end { center } 4 \ begin { itemize } \ end { document } 5 6 \ item \ item 7 \ end { itemize } 8 9 \ begin { enumerate } 10 \ item 12 \ end { enumerate } \ begin { description } 15 \ item [ ] { } \Large 16 \ item [ ] 17 \ end { description } 18 (4.2) 19 \ end { document } 11 \ item 10: itemize enumerate description 1. \item description \item[] itemize enumerate 1 \ documentclass { jarticle } 2 \ begin { document } 2. document itemize

33 (4.3) 54 tex ( tex ) TEX 0000 Large quote, quotation flushleft, flushright, center itemize, enumerate, description 1. itemize 2. enumerate 3. description \hline \cline{2-3} ( 2 3 ) \ begin { tabular }{ } \ end { tabular } 1 l () c ( ) r () 1 () & \\ \multicolumn{ }{ }{} 1 \ documentclass { jarticle } 2 \ begin { document } 3 \ begin { tabular }{ l c rr } 4 \ hline \ multicolumn {4}{ c }{ } \\ 5 \ hline 6 \ hline & & & \\ 7 \ hline & & 180 & 15 \\ 8 \ cline {2-4} & & 90 & 8 \\ 9 \ hline 10 \ end { tabular } 11 \ end { document } 5 (5.1) tabular tabular tabular

34 (5.2) 55 tex ( 4 a = -2x tex ) 5 6 $a = -2x - 1$ 7 8 \[ a = -2x - 1 \] tabular 9 l, c, r 10 \ end { document } & \\ \hline, \cline a = -2x - 1 \multicolumn a = 2x 1 a = 2x 1 6 (6.1) : $ $ : \[ \] $ \[ y = -2x - 1 \] $ () 1 \ documentclass { jarticle } 2 \ begin { document } 3 32 amsmath 33 (6.2) ^ (Enter ) _ ( Shift ) 1 { } e^x + e^{-x} e x + e x a_1^{b_1} + a_2^{b_2} a b ab amsmath amsmath

35 (6.3) 1 \ldots \cdots \cdots 11: \cdot a b \cdots a + b + + z \ldots... a, b,..., z \vdots. \ddots... (6.4) \sqrt{} 3 \sqrt[3]{} \sqrt{x^2+1} x \sqrt[3]{a_1 + a_2} a 1 + a 2 (6.5) \frac{}{} () ( ) \frac{1}{2} 1 2 \frac{1+x}{\sqrt{1+x^2}} 1+x 1+x 2 1+\frac{2}{3+\frac{4}{5}} x 1 + x (6.6) \sum _^ () ( ) \sum_{k=1}^n k^2 n k=1 k2 n k 2 12: k=1 \prod \bigcap \bigcup (6.7) \int^_ dx \,

36 () ( ) \int x dx % xdx xdx \int x \, dx \int_0^{10} \sqrt{x} \, dx 10 0 x dx x dx 10 x dx x dx $ () \[...\] ( ) $ \[...\] 1 0 \log$\log x$ log 13: log \log x log x \arg x arg x \exp x exp x \sin x sin x \deg x deg x \lim x lim x \cos x cos x \det x det x \max x max x \tan x tan x \dim x dim x \min x min x ^_ (6.8) 56 1 tex ( tex ) r 1 n 1 a + ar + ar ar n 1 = ar k = a(1 rn ) 1 r k=0 1 x 1 dx = x x 1 2 dx = 2x C = 2 x + C (6.9) log $log x$logx log x () ( ) \log_a x log a x log a x \lim_{n\to\infty} a_n lim n a n lim n a n \to \infty (6.10) mod mod 2 x \bmod 3 x mod 3 x \equiv 4 \pmod{3} x 4 (mod 3) (6.11) \left(\right) { }[ ] \left, \right \left{ \left\{ \left.

37 ( ) \{ \frac{1}{2}, \frac{3}{4} \} % { 1 2, 3 4 } { 1 \left\{ \frac{1}{2}, \frac{3}{4} \right\} 2, 3 } 4 \left( \frac{1}{2} \right) ( ) 1 2 \left[ \frac{1}{2} \right. [ 1 2 (6.12) tabular array tabular 1 \[ 2 \ left ( 3 \ begin { array }{ cc} 4 1 & 2 \\ 5 3 & 4 6 \ end { array } 7 \ right ), 8 \ left \{ 9 \ begin { array }{l} 10 2x + 3y = 5 \\ 11 x - 6y = \ end { array } 13 \ right. 14 \] () ( ) { 1 2 2x + 3y = 5, 3 4 x 6y = 5 amsmath 34 (6.13) 14: \hat{a} â \tilde{a} ã \bar{a} ā \vec{a} a 15: \overline{a+b} a + b \underline{a+b} a + b \widehat{a+b} â + b \widetilde{a+b} ã + b \overbrace{a+b} {}}{ a + b \underbrace{a+b} a + b }{{} \overleftarrow{a+b} a + b \overrightarrow{a+b} a + b 34 amsmath

38 \overbrace underbrace 16: \overbrace{a+\cdots+z}^{26} \underbrace{a+\cdots+z}_{26} 26 {}}{ a + + z a + + z }{{} 26 (6.14) 17: \leftarrow \rightarrow \uparrow \downarrow \updownarrow \leftrightarrow \Leftarrow \Rightarrow \Uparrow \Downarrow \Updownarrow \Leftrightarrow \nearrow \swarrow \searrow \nwarrow 18: \alpha α \beta β \gamma γ \delta δ \epsilon ϵ \zeta ζ \eta η \theta θ \iota ι \kappa κ \lambda λ \mu µ \nu ν \xi ξ o o \pi π \rho ρ \sigma σ \tau τ \upsilon υ \phi ϕ \chi χ \psi ψ \omega ω \varepsilon ε \varphi φ \Gamma Γ \Delta \Theta Θ \Lambda Λ \Xi Ξ \Pi Π \Sigma Σ \Upsilon Υ \Phi Φ \Psi Ψ \Omega Ω 19: \pm ± \mp \times \div \circ \cap \cup 20: < < \subset \in \equiv > > \supset \ni \cong = \le \subseteq \notin / \sim \ge \supseteq \neq \perp \le \ge less than or equal to greater than or equal to

39 : 13 \] 14 \ end { document } \infty \partial \ell l (6.15) 57 2 tex ( tex ) 0 θ < 180 sin θ 0 sin θ = 1 cos 2 θ a, b {3n +1 n =1, 2,...} a + b 2 ( lim 1+ 1 n = e. n n) (mod 3) ( ) a, c pmatrix \begin{document} \usepackage{amsmath}amsmath amsmath b d vmatrix (6.16) \left(, \right) array 1 \ documentclass { jarticle } 2 \ usepackage { amsmath } 3 \ begin { document } 4 \[ 5 \ begin { pmatrix } 6 1 & 2 & 3 \\ 7 4 & 5 & 6 8 \ end { pmatrix }, 9 \ begin { vmatrix } 10 a & b \\ 11 c & d 12 \ end { vmatrix } (6.17) cases amsmath \left\{, \right. array 1 \ documentclass { jarticle } 2 \ usepackage { amsmath } 3 \ begin { document } 4 \[ 5 \ begin { cases } 6 2x + 3y = 5 \\ 7 x - 6y = -5 8 \ end { cases } 9 \] 10 \ end { document }

40 x + 3y = 5 x 6y = 5 (6.18) amsmath 1 1 : $ $ : \[ \] : \begin{align} \end{align} : \begin{gather} \end{gather} \[ \begin{align} y = -2x - 1 \end{align} \] () ( \[ \] ) 1 \ documentclass { jarticle } 2 \ usepackage { amsmath } 3 \ begin { document } 4 \ begin { gather } 5 x ^2+ x+1 = 1 \\ 6 y = 2 7 \ end { gather } 8 \ begin { align *} 9 f(x) &= x ^2+ x+1 \\ 10 y &= 2 11 \ end { align *} 12 \ begin { align } 13 (\ sqrt {x}) 14 &= (x ^{\ frac {1}{2}}) \\ 15 &= \ frac {1}{2} x^{ -\ frac {1}{2}} \\ 16 &= \ frac {1}{2\ sqrt {x}} 17 \ end { align } 18 \ end { document } x 2 + x +1=1 (1) y =2 (2) f(x) =x 2 + x +1 y =2 ( x) =(x 1 2 ) (3) = 1 2 x 1 2 (4) = 1 2 x gather align & amsmath amsmath gather, align * (6.19) 58 3 tex ( tex ) (5)

41 = = 4 1 = 5 1 ( 1) ( 4) = 9 11 \ section { } 12 \ label { sec :sogo - sansho } \ subsection { } 15 \ label { subsec : setsu - page } 16 \ ref { sec :sogo - sansho } 17 \ ref { subsec : setsu - page } 18 ( \ ref {eq: parab }) 19 \ pageref { subsec : setsu - page } \ end { document } 7 () (7.1) 7 39 (2) 1 38 \label, \ref, \pageref TEX y = x 2 (1) 1 \ documentclass { jarticle } 2 \ usepackage { amsmath } 3 \ begin { document } 4 5 \ section { } 6 \ begin { align } 7 \ label {eq: parab } 8 y = x^2 9 \ end { align } (1) 1 align gather (7.2) 59 TEX tex ( tex )

42 x 2 x +1=0 2 α, β 7 8 \ subsection { } 9 10 \ end { document } αβ =1, α + β =1 (1) α 2 + β 2 =(α + β) 2 2αβ (2) =1 2 1 (3) 1 1 = 1 (4) (2) (3) (1) 2 align 1 2 \quad \, 1 2 (7.3) \tableofcontents \ documentclass { jarticle } 2 \ begin { document } 3 \ tableofcontents 4 \ section { } 5 6 \ section { } 8 (8.1) Windows texworks JPEG

43 (.jpg,.jpeg) PNG, BMP, PDF, EPS 35 TEX graphicx ( ) pdf dvipdfmx hiresbb graphicx \ usepackage [ dvipdfmx, hiresbb ]{ graphicx } \usepackage[dvipdfmx,hiresbb]{graphicx,amsmath} \usepackage 2 \includegraphics scale includegraphics (2 ) \ includegraphics { } \ includegraphics [ scale =1.2]{ } 6 \ vspace {1 cm} \ includegraphics [ scale =0.2]{ streetcar. jpg } 10 \ end { document } 1 \ documentclass { jarticle } 2 \ usepackage [ dvipdfmx, hiresbb ]{ graphicx } 3 \ begin { document } 4 5 \ includegraphics { streetcar. jpg } 35 textworks JPEG, PNG, BMP, PDF.xbb texworks.xbb.xbb 0.2 (8.2) 60 tex ( tex ) fig60a.pdf fig60b.pdf 1 1 1

44 log n 1.1 y = 1 x n n+1 1 dx x = log(n + 1) (1) n 1.2 log n n A n = log n, n {A n } (1) log n log(n + 1) log n, n A n log n +1 n (n + 1)/n > 1 A n > 0 {A n } A n A n+1 = log(n + 1) log n 1 n +1 = n+1 n dx x 1 n (9.1) TEX \ newcommand {\ } { } \newcommand (\documentclass \begin{document}) \Large \haiku 2 1 \ documentclass { jarticle } 2 3 \ newcommand {\ haiku }{ 4 \ begin { center } 5 \ textgt {\ Large } 6 \ end { center } 7 } 8 9 \ begin { document } 10 1 \ haiku 11 1 \ haiku 12 \ end { document } A n A n+1 > 0 A n A n 1

45 \ Haiku { } { } 1 13 \ end { document } 1 1 \Meirei ( ) \ (9.2) 1 \ newcommand {\ } [ ] { } 9 #1, #2,... 1, 2,... 1 \ documentclass { jarticle } 2 3 \ newcommand {\ Haiku }[2]{ 4 \ begin { center } 5 \ textgt {\ Large #1 # 1 # 1 } 6 \ end { center } 7 \ begin { flushright } #2 \ end { flushright } 8 } 9 10 \ begin { document } 11 1 \ Haiku { } { } (9.3) 61 # () tex ( tex ) 1

46 (10.1) 62 # () \item [(1)] G (1) G G 2 (2) : χ(g)η(g 1 #G (χ = η ), )= g G 0 (χ η ). χ λ (g)χ λ (h 1 #G/#C g (g h ), )= 0 (g h ). λ Ĝ C g g G λ Ĝ (\Large ) himawari.jpg 36 d λ d 2 λ =#G. λ Ĝ cases \text 37 \usepackage{amsmath} \text{($g$ $h$)} 36 himawari.jpg 37 mbox 1

47 (10.2) 63 # () n/2 \lfloor, \rfloor ( t B) A = ^t B... B = ({}) A = {}^t B... ( ) 2 J2 = 0 1 m 2m 1 0 I2m : I2m = ( ) I2m+1 = I2m (10.3) 64 # () 1 n f(z) =a 0 z n + a 1 z n a n, a 0 0, n 1 (1) n f(z) = R z = R z f(z) > f(0) z f(z 0 )=0, z 0 <R n A P k (A) = Pf(A 2k,2k )(1 k n/2 ) 0 A = t BI n B (B B n ) (1) f(z) = z n a0 + a 1 z + a 2 z a n ( z n z n a 0 a 1 a 2 a ) n z z 2 z n a 0 0 ( lim z z n a 0 a 1 a 2 a ) n z z 2 z n =+ R z = R z f(z) > f(0) 1.1 f(z 0 )=0, z 0 <R z 0 () 1

48 (10.4) 65 # () r, R (r <R) d 5 d>r+ r d = R + r R r<d<r+ r d = R r d<r r a (a >0, a 0) y = a x x = log a y 11 (11.1) 70 ## ().sb (1) {a n } (2) a n a n+1 a 1 = 1 3a n+1 = 2a 2 n + 3a n + 4 (n 1) a x (a >1 ) (0 <a<1) (a >1 ) log a x (0 <a<1) cases \text \mbox : : = (11.2) 71 ## ().sb (1) {a n } {b n }

49 (2) a n a n+1 b n b n+1 a 1 = 1 b 1 = 2 a n+1 = a n+b n 2 (n 1) b n+1 = a n b n (n 1) 1, , , , : : , , , = , (11.3) 72 ## ().sb (1) (2) (11.4) 73 ## ().sb (1) (x ) (2) x (11.5) 74 ## ().sb (1) 4 (2) 4 3

50 (11.7) 76 ## 2 ().sb (1) (x ) (2) x 2 1 (11.6) 75 ## ().sb (1) (x ) (2) x

51 (11.8) 77 ## () \underset 1 R R P 0 M φ M ψ M 0 0 N φ N ψ N 0 P = Q Q : (12.1)! Undefined control sequence. l.3 $y = \ loq x$! l \loq x$ 2 D(x 1,x 2,...,x n )= (x 1,x 2,...,x n ) 2 = i<j (x i x j ) 2 P n Z[t 1,t 2,...,t n ] D(x 1,x 2,...,x n )=P n (s 1,s 2,...,s n ) p k = x k 1 + x k x k n p 0 p 1 p n 1 p 1 p 2 p n D(x 1,x 2,...,x n )= p n 1 p n p 2n 2 D(x 1,x 2,x 3 )= 4p 3 1p 3 + p 2 1p p 1 p 2 p 3 4p p 2 3 \overset{ }{ } Z \textbf \mathbf{z} 1 3 \loq (undefined control sequence) (12.2) 1 begin end! LaTeX Error : \ begin { itemize } on input line 3 ended by \ end { document }. \begin! LaTeX Error : Can be used only in preamble. 38

52 : : l.3 \ usepackage { amsmath } (\documentclass \begin{document}) \begin{document}! LaTeX Error : Command \ item invalid in math mode. : : l.4 $\ item $! LaTeX Error : Environment docment undefined. : : l.2 \ begin { docment }! LaTeX Error : There s no line here to end. \\ (})! Argument of \ texttt has an extra }. < inserted text > \ par l.3 {\ texttt }! Display math should end with $$. <to be read again > l.3 \[ abc $ \[\] $$! Double subscript. l.3 $ a_b_ c $ a_{b_c}! Double superscript. l.3 $ a^b^ c $ a^{b^c} $! Missing $ inserted. < inserted text > $ l.3 a_ b \frac $ (})! Missing } inserted.

53 < inserted text > } l.3 $ \ frac {1} $ (})! Too many } s. < recently read > } l.3 \ texttt { abc }}! Undefined control sequence. l.3 $y = \ loq x$ Runaway argument? {2 $! Paragraph ended before \ frac was complete.

54 Clock.Hour, 11 Else, 9 ElseIf, 10 EndSub, 18 false, 16 For, 12 Goto, 16 IF (Excel), 2 If, 9 Math.Abs, 20 Math.ArcCos, 20 Math.ArcSin, 20 Math.ArcTan, 20 Math.Ceiling, 20 Math.Cos, 20 Math.Floor, 20 Math.GetDegrees, 20 Math.GetRadians, 20 Math.GetRandomNumber, 9, 20 Math.Log, 20 Math.Max, 12, 20 Math.Min, 12, 20 Math.NaturalLog, 20 Math.Pi, 20 Math.Power, 19, 20 Math.Remainder, 20 Math.Round, 19, 20 Math.Sin, 20 Math.SquareRoot, 13, 20 Math.Tan, 20 Program.Delay, 23 Step, 13 Sub, 18 Text.Append, 20 Text.ConvertToLowerCase, 20 Text.ConvertToUpperCase, 20 Text.EndsWith, 20 Text.GetCharacter, 20 Text.GetCharacterCode, 20 Text.GetIndexOf, 20 Text.GetLength, 20 Text.GetSubText, 20 Text.GetSubTextToEnd, 20 Text.IsSubText, 20 Text.StartsWith, 20 TextWindow.ForegroundColor, 6 TextWindow.Read, 7 TextWindow.ReadNumber, 8 TextWindow.Write, 6 TextWindow.WriteLine, 4 true, 16 While, 14 <, 38 >, 38 54

55 \,, 36 \\, 29 \alpha, 38 \arg, 36 \bar, 37 \beta, 38 \bigcap, 35 \bigcup, 35 \bmod, 36 \cap, 38 \cdot, 35 \cdots, 35 \chi, 38 \circ, 38 \cline, 33 \cong, 38 \cos, 36 \cup, 38 \ddots, 35 \deg, 36 \Delta, 38 \delta, 38 \det, 36 \dim, 36 \div, 38 \documentclass, 26 \Downarrow, 38 \downarrow, 38 \ell, 39 \epsilon, 38 \equiv, 36, 38 \eta, 38 \exp, 36 \footnotesize, 30 \frac, 35 \Gamma, 38 \gamma, 38 \ge, 38 \hat, 37 \hline, 33 \Huge, 30 \huge, 30 \in, 38 \includegraphics, 43 \infty, 36, 39 \int, 36 \iota, 38 \item, 32 \kappa, 38 \label, 41 \Lambda, 38 \lambda, 38 \LARGE, 30 \Large, 30 \large, 30 \ldots, 35 \le, 38 \left, 36 \Leftarrow, 38 \leftarrow, 38

56 \Leftrightarrow, 38 \leftrightarrow, 38 \lim, 36 \log, 36 \max, 36 \mbox, 46, 48 \min, 36 \mp, 38 \mu, 38 \multicolumn, 33 \nearrow, 38 \neq, 38 \newcommand, 44 \newpage, 29 \ni, 38 \normalsize, 30 \notin, 38 \nu, 38 \nwarrow, 38 \Omega, 38 \omega, 38 \overbrace, 37 \overleftarrow, 37 \overline, 37 \overrightarrow, 37 \overset, 51 \pageref, 41 \paragraph, 28 \partial, 39 \perp, 38 \Phi, 38 \phi, 38 \Pi, 38 \pi, 38 \pm, 38 \pmod, 36 \prod, 35 \Psi, 38 \psi, 38 \quad, 42 \ref, 41 \rho, 38 \right, 36 \Rightarrow, 38 \rightarrow, 38 \scriptsize, 30 \searrow, 38 \section, 28 \Sigma, 38 \sigma, 38 \sim, 38 \sin, 36 \small, 30 \sqrt, 35 \subsection, 28 \subset, 38 \subseteq, 38 \subsubsection, 28 \sum, 35 \supset, 38

57 \supseteq, 38 \swarrow, 38 \tableofcontents, 42 \tan, 36 \tau, 38 \TeX, 27 \text, 46, 48 \textbf, 30 \textgt, 30 \textit, 30 \textrm, 30 \textsc, 30 \textsf, 30 \textsl, 30 \texttt, 30 \Theta, 38 \theta, 38 \times, 38 \tiny, 30 \to, 36 \underbrace, 37 \underline, 29, 37 \underset, 51 \Uparrow, 38 \uparrow, 38 \Updownarrow, 38 \updownarrow, 38 \Upsilon, 38 \upsilon, 38 \usepackage, 39 \varepsilon, 38 \varphi, 38 \vdots, 35 \verb, 27 \widehat, 37 \widetilde, 37 \Xi, 38 \xi, 38 \zeta, 38 ^, 34 _, 34 o, 38 10pt, 26 11pt, 26 12pt, 26 align*, 40 align, 40 amsmath, 39 array, 37 BMP, 43 cases, 39 center, 31 description, 32 document, 26 dvipdfmx, 43 dvi, 25 enumerate, 32

58 EPS, 43 flushleft, 31 flushright, 31 gather*, 40 gather, 40 graphicx, 43 hiresbb, 43 itemize, 32 JPEG, 43 landscape, 26 log, 36 PDF, 43 pmatrix, 39 PNG, 43 quotation, 31 quote, 31 small, 30 tabular, 33 TeXworks, 25 tex, 25 twocolumn, 26 underline, 30 vmatrix, 39 xbb, 43, 5, 34, 4, 6, 29, 29, 12, 32, 29, 42, 28, 31, 26, 34, 16, 17, 5, 30, 34, 17, 34, 4, 5, 34, 27, 15

59 , 14, 30, 15, 10, 10, 34, 7, 44, 16, 30, 17, 16, 34