| JIS $B5-9f$G8x<0$r(B |
|
$B$=$N8e!$%$%s%?!<%M%C%H8!:w$G0J2<$N$h$&$J>u67$rCN$j$^$7$?!%(B$B:#8e$O!V(BMathML $B$G8x<0$r!W$H$$$&%Z!<%8$bN)$A>e$2$kM=Dj$G$9!%(B
- STUDIO KAMADA $B$G$O(B JavaScript $B$r;HMQ$7$F%V%i%&%6$K%?%0$rE83+$5$;(B $B?t<0$rI=<($9$k%"%$%G%"$r<($5$l$F$$$^$9!%(B
- MathML (Mathematical Markup Language$B!$(BXML$B$r;H$C$?:G=i$N(BW3C$B4+9p!$(B1998) $B$H$$$&?t<0$*$h$S?t3XE*FbMF$N5-=R8@8l$,$"$j!$%V%i%&%6$bBP1~$7$D$D$"$k$=$&$G$9!%(B $B8@8l$O5!3#8~$1$N$?$a!$JQ49!&F~NO%D!<%k$b3+H/$5$l$D$D$"$j$^$9!%(B
- SVG (Scalable Vector Graphics$B!$(BW3C$B4+9p!$(B2001) $B$H$$$&(B XML $BJ8=qCf$G(B2$B $B%W%i%0%$%s(B$B$r;H$($P%V%i%&%6$GI=<($G$-$k$=$&$G$9!%(B
2004.10.23$B!$$3$N%Z!<%8$N%?%0?t$,%(%G%#%?$N8B3&$K6aIU$$$?$N$G!$(B $BJ,Ln$4$H$K%Z!<%8$rJ,$1$^$7$?!%(B $B0J9_!$$3$N%Z!<%8$NK\J8$O8m$C$?5-=R$N$_=$@5$7$^$9!%(B
| $B#0!&!&!&!!&!&!&!A!&!&!&!F(B | $B#0!&!&!&!!&!&!&!A!&!&!&!F(B | ||
| 2120 | $B!!!!!"!#!$!%!&!'!(!)!*!+!,!-!.!/(B | 2130 | $B!0!1!2!3!4!5!6!7!8!9!:!;!!?(B |
| 2140 | $B!@!A!B!C!D!E!F!G!H!I!J!K!L!M!N!O(B | 2150 | $B!P!Q!R!S!T!U!V!W!X!Y!Z![!\!]!^!_(B |
| 2160 | $B!`!a!b!c!d!e!f!g!h!i!j!k!l!m!n!o(B | 2170 | $B!p!q!r!s!t!u!v!w!x!y!z!{!|!}!~!!(B |
| 2220 | $B!!"!"""#"$"%"&"'"(")"*"+","-"."/(B | 2230 | $B"0"1"2"3"4"5"6"7"8"9":";"<"=">"?(B |
| 2240 | $B"@"A"B"C"D"E"F"G"H"I"J"K"L"M"N"O(B | 2250 | $B"P"Q"R"S"T"U"V"W"X"Y"Z"["\"]"^"_(B |
| 2260 | $B"`"a"b"c"d"e"f"g"h"i"j"k"l"m"n"o(B | 2270 | $B"p"q"r"s"t"u"v"w"x"y"z"{"|"}"~!!(B |
| $B#0!&!&!&!!&!&!&!A!&!&!&!F(B | $B#0!&!&!&!!&!&!&!A!&!&!&!F(B | ||
| 2620 | $B!!&!&"&$&%&&&'&(&)&*&+&,&-&.&/(B | 2630 | $B&0&1&2&3&4&5&6&7&8&9&:&;&<&=&>&?(B |
| 2640 | $B&@&A&B&C&D&E&F&G&H&I&J&K&L&M&N&O(B | 2650 | $B&P&Q&R&S&T&U&V&W&X&Y&Z&[&\&]&^&_(B |
| 2660 | $B&`&a&b&c&d&e&f&g&h&i&j&k&l&m&n&o(B | 2670 | $B&p&q&r&s&t&u&v&w&x&y&z&{&|&}&~!!(B |
| 2720 | $B!!'!'"'#'$'%'&'''(')'*'+','-'.'/(B | 2730 | $B'0'1'2'3'4'5'6'7'8'9':';'<'='>'?(B |
| 2740 | $B'@'A'B'C'D'E'F'G'H'I'J'K'L'M'N'O(B | 2750 | $B'P'Q'R'S'T'U'V'W'X'Y'Z'['\']'^'_(B |
| 2760 | $B'`'a'b'c'd'e'f'g'h'i'j'k'l'm'n'o(B | 2770 | $B'p'q(B |
| $B#0!&!&!&!!&!&!&!A!&!&!&!F(B | $B#0!&!&!&!!&!&!&!A!&!&!&!F(B | ||
| 2820 | $B!!(!("(#($(%(&('((()(*(+(,(-(.(/(B | 2830 | $B(0(1(2(3(4(5(6(7(8(9(:(;(<(=(>(?(B |
| 2840 | $B(@(A(B(C(D(E(F(G(H(I(J(K(L(M(N(O(B | 2850 |
<style type="text/css">
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$B$HDj5A$9$k$+!$(B.bar $B$H(B .det $B$G;O$^$k(B2$B9T$r(B
$B%9%?%$%k%7!<%H%U%!%$%k$KF~$l$F$*$1$P(B
| $B$O(B <div align=center>numerator</div> <div class=bar>denominator</div> $B$G!$(B | ||||
| $B$O(B <span class=bar><i>z</i></span> $B$G!$(B | |||||
| $B$O(B <table class=det>$B!A(B</table> $B$GI=$;$k!%(B |
|
|
|
|
| <i> | ASCII $B5-9f(B ($BH>3Q(B) | JIS $B5-9f(B ($BA43Q(B) |
|---|---|---|
| $B$J$7(B | +-*/=|#!%'",.:;<>(){}[] 0123456789 |
$B"e!^!_!`!b!e!f"a"b"c"d"g!A!?!C!@(B $B!h"h"O"P"J"K"L"M"N":";"<"=">"?"@"A(B $B"$!k"\"f!B"]"^!g"*"+","-"_"i"j"`!D(B |
| $B$"$j(B | +-*/=|#!%'",.:;<>(){}[] 0123456789 |
$B"e!^!_!`!b!e!f"a"b"c"d"g!A!?!C!@(B $B!h"h"O"P"J"K"L"M"N":";"<"=">"?"@"A(B $B"$!k"\"f!B"]"^!g"*"+","-"_"i"j"`!D(B |
| $B%?%0IU$1J}K!(B | $BNc(B | $B%?%0?t(B | $BDI2C%9%Z!<%9?t(B |
|---|---|---|---|
| $BA4$/0O$^$J$$>l9g(B | f(xia xjb) = a f(xi) + b f(xj) | 6$B!_(B2 | 7 |
| $B$^$H$a$F0O$s$@>l9g(B | f (xia xjb) = a f (xi) + b f (xj) | 7$B!_(B2 | 10 |
| $BJ8;zItJ,$@$10O$s$@>l9g(B | f (xia xjb) = a f (xi) + b f (xj) | 12$B!_(B2 | 10 |
| $B30B&(B | <i>$B$J$7(B | abcdefghijklmnopqrstuvwxyz | ABCDEFGHIJKLMNOPQRSTUVWXYZ |
| <i>$B$"$j(B | abcdefghijklmnopqrstuvwxyz | ABCDEFGHIJKLMNOPQRSTUVWXYZ | |
| $BFbB&(B | <i>$B$J$7(B |
abcdefghijklmnopqrstuvwxyz |
ABCDEFGHIJKLMNOPQRSTUVWXYZ |
| <i>$B$"$j(B |
abcdefghijklmnopqrstuvwxyz |
ABCDEFGHIJKLMNOPQRSTUVWXYZ |
| $B&D(Bi j= { | 1$B!$(B | (i $B!a(B j $B$N$H$-(B) |
| 0$B!%(B | (i $B!b(B j $B$N$H$-(B ) |
| f (x) = O ( g (x)) | $B!'(B | $B"P(B K > 0,$B"O(Bx$B":(BX, | f (x)| $B!e(B K | g (x)|$B!%(B $BDL>o(B g (x) > 0$B!%(B |
| $BNc(B
Hn = 1 + 1/2 + 1/3 + $B!D(B + 1/n
= ln n + $B&C(B + O (1/n)$B!%(B
$B&C(B=0.5772156649$B!D$O%*%$%i!<$NDj?t(B
| ||
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$B:8JU$N(B |$B!A(B| $B$O%Y%/%H%k$ND9$5!$1&JU$N$=$l$Oa || $B$H$9$k$3$H$b$"$j$^$9!%(B $B$^$?!$Fb@Q$O(B (a ,b) $B$J$I$HI=$9$3$H$b$"$j$^$9!%(B
$BBh0l|
Tn (cos$B&H(B) = cos(n$B&H(B).
| |
$BBhFs|
Un(cos$B&H(B) = sin[(n +1)$B&H(B] / sin$B&H(B.
| |
| r$B!b(B1 $B$N$H$-(B 1 + r + r 2 + $B!D(B + r n-1 = |
1 - r n
| . |
|
n $B&2(B k =1 | k = |
1
| n (n + 1). |
|
n $B&2(B k =1 | k 2 = |
1
| n (n + 1) (2 n + 1). |
|
n $B&2(B k =1 | k 3 = { |
1
| n (n + 1)}2. |
|
n $B&2(B k =1 | k m = |
1
|
m $B&2(B j =0 | m+1Cj bj nm+1-j. |
| $B$3$3$G!$(B{bj} $B$O(B |
m $B&2(B j =0 | m+1Cj bj =m+1 ( m=0,1,2,$B!D(B) $B$GDj5A$5$l$k?tNs!%(B |
|
$B!g(B $B&2(B j =0 | Bj |
x j
| $B"a(B |
x
| . |
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| j | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | ||||||||||||
| Bj | 1 |
|
1 |
0 |
|
0 | 1 |
0 |
|
0 | 5 |
0 |
|
0 | 7 |
0 |
|
0 | 43867 |
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| nPr = |
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| (a + b)n = |
n $B&2(B r =0 | nCr a n-r b r. |
| Cn = |
1
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n $B&2(B r =1 | Cr-1Cn-r. |
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$BBhFs| S (n, r ) |
n $BMWAG$N=89g$r(B r $B8D$N%V%m%C%/$KJ,$1$k;EJ}$N?t(B | |
|
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| xn = S (n, 0) + S (n, 1) x(1) + S (n, 2) x(2) + $B!D(B + S (n, n ) x(n ). |
| ($BCm(B1) | x(r ) $B$O(B x (x - 1)$B!D(B(x - r +1) $B$r0UL#$9$k$3$3$@$1$N5-K!$G!$(Bx(0) = 1 $B$H2rh!$3,>h!$Fs9`78?t$J$I$H0[$J$j5-K!$ODj$^$C$F$$$J$$$h$&$G!$(B (x )r $B$,;H$o$l$k$3$H$b$"$j$^$9!%(B $B$J$*!$(Bx $B$,<+A3?t$N>l9g!$(B nPr $B$HF1$8$G$9!%(B |
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$BBh0l |
| ($BCm(B4) |
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| $BFs9`78?t(B | $B%9%?!<%j%s%0?t(B | ||||
| $B%Q%9%+%k(B (Pascal) $B$N(B3$B3Q7A(B | $BBh0l| $BBhFs | | |||
1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
|
$B&2(B=20 $B&2(B=21 $B&2(B=22 $B&2(B=23 $B&2(B=24 |
1 0 1 0 1 1 0 2 3 1 0 6 11 6 1 0 24 50 35 10 1 |
$B&2(B=0! $B&2(B=1! $B&2(B=2! $B&2(B=3! $B&2(B=4! $B&2(B=5! |
1 0 1 0 1 1 0 1 3 1 0 1 7 6 1 0 1 15 25 10 1 |
$B&2(B=B(0)= 1 $B&2(B=B(1)= 1 $B&2(B=B(2)= 2 $B&2(B=B(3)= 5 $B&2(B=B(4)=15 $B&2(B=B(5)=52 |
| ($BCm(B1) | B $B$O%Y%k(B (Bell) $B?t!%(B |
| m = |
1
|
n $B&2(B k =1 | xk. |
| E(X) = | $B&2(B k |
xk pk. (X $B$O3NN(JQ?t$G(B | $B&2(B k |
pk = 1) |
| V = |
1
|
n $B&2(B k =1 | (xk - m)2 = |
1
|
n $B&2(B k =1 | xk2 - m2. |
| (ai j) (bi j) = ( |
n $B&2(B k =1 | ai k bk j). |
|
|
|
|
|
|
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| | A | = |
n $B&2(B j =1 | (-1)i + j ai j | Ai j |. |
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| . |
| = |
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| A* | tA = A | A* = A | tA = -A | A* = -A | A*A = E | det A $B!b(B 0 | A*A = AA* | |
| C | $B?oH<(B | $BBP>N(B | Hermite | $B8rBe(B | $BOD(BHermite | unitary | $B@5B'(B | $B@55,(B |
| R | $BE>CV(B | $B |
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| n $B | $B!'(B | GLn(C ) = {A$B":(BMn(C ) | det A $B!b(B 0 } |
| n $B | $B!'(B | SLn(C ) = {A$B":(BMn(C ) | det A = 1 } |
| n $B | $B!'(B | Un(C ) = {A$B":(BMn(C ) | A*A = E } |
| n $B8r72(B | $B!'(B | On(R ) = {A$B":(BMn(R ) | tAA = E } |
|
|
|
| $B":(B O2(R ). |
| $B"i(B |
dx
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|
p (b)
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p (a)
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a
|
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|
1
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m!n!
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|
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m!n!
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| (*1) |
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$BN)BN(B (upright) $B$NK\J8$NCf$G| $B!&N)BN(B |
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| LaTeX $B%U%)%s%H(B | HTML | $BBeI=E*$J>&MQ%U%)%s%HL>(B | ||||
|---|---|---|---|---|---|---|
| $BB0@-(B | ($B| $B%?%0(B | $B%9%?%$%k%7!<%H(B |
$B1QJ8(B | $BOBJ8(B | | |
| $B%U%!%_%j!<(B | Roman | $B!](B | serif | font-family | Times | $BL@D+BN(B |
| sans serif | sans-serif | Helvetica, Arial | $B%4%7%C%/BN(B | |||
| typewriter | <tt> | monospace | Courier | $B!](B | ||
| $B%7%'%$%W(B | upright | $B!](B | normal | font-style | $B!](B | |
| italic | <i> | italic | ||||
| slanted | $B!](B | oblique | ||||
| Small Caps | $B!](B | small-caps | font-variant | |||
| $B%7%j!<%:(B ($B%&%'%$%H(B + $BI}(B) |
$B!](B | $B!](B | lighter | font-weight | $B!](B | |
| medium | $B!](B | normal | ||||
| bold face | <b> | bold | ||||
| $B%5%$%:(B | small | <small> | small | font-size | $B!](B | |
| normal size | $B!](B | medium | ||||
| large | <big> | large | ||||
| $B:G=*99?7F|(B : 2007.3.22 | $B=iHG(B : 2001.11.14 |