総合薬学講座 生物統計の基礎
|
|
|
- もりより かりこめ
- 5 years ago
- Views:
Transcription
1 ( ) / 40
2 p t Mann Whitney U ). 4 χ Dunnett Tukey Kaplan Meier.. U. ( ) / 40
3 1 93 ( 20 ) 230. a t b c χ 2 d e, b ( ) e ( ) ( ) / 40
4 2 98 ( 25 ) 192 Tukey ( ) / 40
5 ,. ( ) EBM pp ( α) ( ) / 40
6 1) ( ). ( ) / 40
7 2 p.683 2) 100 ( ) A = (1 ), ( ) / 40
8 2 95% ,,. 4 ( ) / 40
9 3 ( ) 3) 100 ( ), A 60 60% B 50% A B, A 45%, ( ) / 40
10 1.5.1 p.684 (p ) ( α) 4 ( ) p ( ). p (α)., = ( ) / 40
11 1.5.1 H 1 ( ) H 0 ( ) ( ) α p ( ) / 40
12 . α α 2 α 2 ( ) / 40
13 p p,, x p.684 ( ) 7 (p ). 4 (p ). ( ) / 40
14 p.684 (µ = µ 0 ) (µ µ 0 ) p α = ( ) / 40
15 p , H 1 H 0 : H 1. H 0 : H 1. H 1. ( ) / 40
16 1 2 p µ = µ 0 (H 0 ) µ µ 0 (H 0 ) 2 β (H 0 ) 1 α (H 0 ) α ( ) : H 0 β : H 0 ( ) ( ) / 40
17 ) p ) ( ) / 40
18 t, Mann-Whitney U t, Mann-Whitney U p.688 ( ) ( ) / 40
19 ,,,,,, {x 1, x 2, x 3,..., x n } x = x 1 + x 2 + x x n n s 2 = (x 1 x) 2 + (x 2 x) (x n x) 2 n 1 (x 1 x) 2 + (x 2 x) (x n x) 2 s = n 1 ( ) / 40
20 (SD:Standard Deviation). s = (x 1 x) 2 + (x 2 x) (x n x) 2 n 1 (SE Standard Error) x( ). SE = s n p.11 ( ) / 40
21 t ( ) p.688 1) t ( ) t A B 1. p t A B. p ( ) / 40
22 t ( p.47 (5.9)-(5.10)),. ( ) / 40
23 H 0 A B = H 1 A B ( ) / 40
24 Wilcoxon (Mann-Whitney U ) 2) Wilcoxon (Mann-Whitney U ) p Wilcoxon ( ). H 0 ( : A B ( ) H 1 A B ( ) ( ) / 40
25 χ χ 2 6 χ (cf. p.82 (6.5)) H 0 A B H 1 A B ( ) / 40
26 p.692 t Wilcoxon p. 63 p t Wilcoxon χ 2 p :,. ( ) / 40
27 2 p (x, y)., ( ) / 40
28 y = β 0 + β 1 x y y i = β 0 + β 1 x i + ε i y i xi,y i ε i y= β 0 + β 1 x O x i x β 0 y β 1 ε i ( ) / 40
29 2 2 y ε i = y i (β 0 + β 1 x i ), δ = ε ε ε2 n. β 0 β 1 ε 1 ε 2 2 ε 3 2 ε H 0 β 1 = 0 H 1 β 1 0 t. ( ) / 40
30 ( ) / 40
31 r= 0.16 r= 0.76 r=0.97 r= r 1 r 1. 2 r 1. r = 1. r. 3 r 1. r = 1. r. 4 r 0. ( ) / 40
32 1.5.6, Dunnett, Turkey ) α (A, B, C) A-B, A-C, B-C 3 1 3α.. (multiplicity) 1 ( ) / 40
33 1 p.105 H 0 : 4 H 1 : 4 ( ) H 0 : ( ) / 40
34 2 Bonferroni ( ) / 40
35 3 Dunnett A B,C, D A B C,. D ( ) / 40
36 4 Tukey A D B C,. ( ) / 40
37 1.5.7 (,...e.t.c.) ( ) ( ) 1) 2) ( ) 3) ( ) 2 ( ) / 40
38 Kaplan-Meier p.141 Kaplan-Meier 2 Log-rank ( ) p ( ) / 40
39 3 Cox ( ) 2 ( ). www012.upp.so-net.ne.jp/doi/biostat/ct39/cox.pdf ( ) / 40
40 p.699 5, p, ( ), pp ( ) / 40
研修コーナー
l l l l l l l l l l l α α β l µ l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l
1 911 9001030 9:00 A B C D E F G H I J K L M 1A0900 1B0900 1C0900 1D0900 1E0900 1F0900 1G0900 1H0900 1I0900 1J0900 1K0900 1L0900 1M0900 9:15 1A0915 1B0915 1C0915 1D0915 1E0915 1F0915 1G0915 1H0915 1I0915
_0212_68<5A66><4EBA><79D1>_<6821><4E86><FF08><30C8><30F3><30DC><306A><3057><FF09>.pdf
N cos s s cos ψ e e e e 3 3 e e 3 e 3 e
3 3 5 5 5 3 3 7 5 33 5 33 9 5 8 > e > f U f U u u > u ue u e u ue u ue u e u e u u e u u e u N cos s s cos ψ e e e e 3 3 e e 3 e 3 e 3 > A A > A E A f A A f A [ ] f A A e > > A e[ ] > f A E A < < f ; >
第86回日本感染症学会総会学術集会後抄録（I）
κ κ κ κ κ κ μ μ β β β γ α α β β γ α β α α α γ α β β γ μ β β μ μ α ββ β β β β β β β β β β β β β β β β β β γ β μ μ μ μμ μ μ μ μ β β μ μ μ μ μ μ μ μ μ μ μ μ μ μ β
,,,,., = (),, (1) (4) :,,,, (1),. (2),, =. (3),,. (4),,,,.. (1) (3), (4).,,., () : = , ( ) : = F 1 + F 2 + F 3 + ( ) : = i Fj j=1 2
6 2 6.1 2 2, 2 5.2 R 2, 2 (R 2, B, µ)., R 2,,., 1, 2, 3,., 1, 2, 3,,. () : = 1 + 2 + 3 + (6.1.1).,,, 1 ,,,,., = (),, (1) (4) :,,,, (1),. (2),, =. (3),,. (4),,,,.. (1) (3), (4).,,., () : = 1 + 2 + 3 +,
PowerPoint プレゼンテーション
40 6 Fischer 2 McNemar 2 No Yes No Yes Mann Whitney s U Wilcoxon 1 Kruskal Wallis 2 Friedman No Yes 2 Yes No Yes Bonferroni ANOVA No Scheffe Yes Student s T No Paired T Welch s T 40 6 Fischer 2 McNemar
ｎｓｇ０２－１３／ｋｙ０４５０５９３０１６０００３３２１０
φ φ φ φ κ κ α α μ μ α α μ χ et al Neurosci. Res. Trpv J Physiol μ μ α α α β in vivo β β β β β β β β in vitro β γ μ δ μδ δ δ α θ α θ α In Biomechanics at Micro- and Nanoscale Levels, Volume I W W v W
( )
) ( ( ) 3 15m t / 1.9 3 m t / 0.64 3 m ( ) ( ) 3 15m 3 1.9m / t 0.64m 3 / t ) ( β1 β 2 β 3 y ( ) = αx1 X 2 X 3 ( ) ) ( ( ) 3 15m t / 1.9 3 m 3 90m t / 0.64 3 m ( ) : r : ) 30 ( 10 0.0164
平成20年5月 協会創立50年の歩み 海の安全と環境保全を目指して 友國八郎 海上保安庁 長官 岩崎貞二 日本船主協会 会長 前川弘幸 JF全国漁業協同組合連合会 代表理事会長 服部郁弘 日本船長協会 会長 森本靖之 日本船舶機関士協会 会長 大内博文 航海訓練所 練習船船長 竹本孝弘 第二管区海上保安本部長 梅田宜弘
![Œ{Ł¶/1ŒÊ −ªfiª„¾ [ 1…y†[…W ]](/thumbs/50/26134150.jpg "Œ{Ł¶/1ŒÊ −ªfiª„¾ [ 1…y†[…W ]")
2 7 ( ) µ 
ｎｓｇ０４－２８／ｋｙ２０８６８４３５６１０００４３０７７
δ!!! μ μ μ γ UBE3A Ube3a Ube3a δ !!!! α α α α α α α α α α μ μ α β α β β !!!!!!!! μ! Suncus murinus μ Ω! π μ Ω in vivo! μ μ μ!!! ! in situ! in vivo δ δ !!!!!!!!!! ! in vivo Orexin-Arch Orexin-Arch !!
Japan Research Review 1998年7月号
Japan Research Review 1998.7 Perspectives ****************************************************************************************** - 1 - Japan Research Review 1998.7-2 - Japan Research Review 1998.7-3
(1)2004年度 日本地理
1 2 3 4 1 2 3 4 5 6 7 8 9 10 11 12-5.0-5.1-1.4 4.2 8.6 12.4 16.9 19.5 16.6 10.8 3.3-2.0 6.6 16.6 16.6 18.6 21.3 23.8 26.6 28.5 28.2 27.2 24.9 21.7 18.4 22.7 5 1 2 3 4 5 6 7 8 9 10 11 12 2.2 3.5 7.7 11.1
H27 28 4 1 11,353 45 14 10 120 27 90 26 78 323 401 27 11,120 D A BC 11,120 H27 33 H26 38 H27 35 40 126,154 129,125 130,000 150,000 5,961 11,996 6,000 15,000 688,684 708,924 700,000 750,000 1300 H28
y = x x R = 0. 9, R = σ $ = y x w = x y x x w = x y α ε = + β + x x x y α ε = + β + γ x + x x x x' = / x y' = y/ x y' =
y x = α + β + ε =,, ε V( ε) = E( ε ) = σ α $ $ β w ( 0) σ = w σ σ y α x ε = + β + w w w w ε / w ( w y x α β ) = α$ $ W = yw βwxw $β = W ( W) ( W)( W) w x x w x x y y = = x W y W x y x y xw = y W = w w
ＪＭＰ V4 による生存時間分析
V4 1 SAS 2000.11.18 4 ( ) (Survival Time) 1 (Event) Start of Study Start of Observation Died Died Died Lost End Time Censor Died Died Censor Died Time Start of Study End Start of Observation Censor
I II III IV V
I II III IV V N/m 2 640 980 50 200 290 440 2m 50 4m 100 100 150 200 290 390 590 150 340 4m 6m 8m 100 170 250 µ = E FRVβ β N/mm 2 N/mm 2 1.1 F c t.1 3 1 1.1 1.1 2 2 2 2 F F b F s F c F t F b F s 3 3 3
人芯経営論 ･･･リーダーシップ考②
2009/12/15 2009/11/17 2009/11/16 2009/10/19 2009/10/15 2009/10/1 2009/9/17 2009/9/1 2009/8/17 2009/8/17 2009/8/14 2009/8/12 2009/7/28 2009/7/17 2009/7/15 2009/6/24 2009/6/18 2009/6/15 2009/5/20 2009/5/15
73 p.1 22 16 2004p.152
1987 p.80 72 73 p.1 22 16 2004p.152 281895 1930 1931 12 28 1930 10 27 12 134 74 75 10 27 47.6 1910 1925 10 10 76 10 11 12 139 p.287 p.10 11 pp.3-4 1917 p.284 77 78 10 13 10 p.6 1936 79 15 15 30 80 pp.499-501
122011pp.139174 18501933
122011pp.139174 18501933 122011 1850 3 187912 3 1850 8 1933 84 4 1871 12 1879 5 2 1 9 15 1 1 5 3 3 3 6 19 9 9 6 28 7 7 4 1140 9 4 3 5750 58 4 3 1 57 2 122011 3 4 134,500,000 4,020,000 11,600,000 5 2 678.00m
Microsoft Word - 映画『東京裁判』を観て.doc
1 2 3 4 5 6 7 1 2008. 2 2010, 3 2010. p.1 4 2008 p.202 5 2008. p.228 6 2011. 7 / 2008. pp.3-4 1 8 1 9 10 11 8 2008, p.7 9 2011. p.41 10.51 11 2009. p. 2 12 13 14 12 2008. p.4 13 2008, p.7-8 14 2008. p.126
戦後の補欠選挙
1 2 11 3 4, 1968, p.429., pp.140-141. 76 2005.12 20 14 5 2110 25 6 22 7 25 8 4919 9 22 10 11 12 13 58154 14 15 1447 79 2042 21 79 2243 25100 113 2211 71 113 113 29 p.85 2005.12 77 16 29 12 10 10 17 18
日経テレコン料金表（2016年4月）
1 2 3 4 8,000 15,000 22,000 29,000 5 6 7 8 36,000 42,000 48,000 54,000 9 10 20 30 60,000 66,000 126,000 166,000 50 100 246,000 396,000 1 25 8,000 7,000 620 2150 6,000 4,000 51100 101200 3,000 1,000 201
2 2 3 4 5 5 2 7 3 4 6 1 3 4 7 4 2 2 2 4 2 3 3 4 5 1932 A p. 40. 1893 A p. 224, p. 226. 1893 B pp. 1 2. p. 3.
1 73 72 1 1844 11 9 1844 12 18 5 1916 1 11 72 1 73 2 1862 3 1870 2 1862 6 1873 1 3 4 3 4 7 2 3 4 5 3 5 4 2007 p. 117. 2 2 3 4 5 5 2 7 3 4 6 1 3 4 7 4 2 2 2 4 2 3 3 4 5 1932 A p. 40. 1893 A p. 224, p. 226.
29 2011 3 4 1 19 5 2 21 6 21 2 21 7 2 23 21 8 21 1 20 21 1 22 20 p.61 21 1 21 21 1 23
29 2011 3 pp.55 86 19 1886 2 13 1 1 21 1888 1 13 2 3,500 3 5 5 50 4 1959 6 p.241 21 1 13 2 p.14 1988 p.2 21 1 15 29 2011 3 4 1 19 5 2 21 6 21 2 21 7 2 23 21 8 21 1 20 21 1 22 20 p.61 21 1 21 21 1 23 1
() L () 20 1
() 25 1 10 1 0 0 0 1 2 3 4 5 6 2 3 4 9308510 4432193 L () 20 1 PP 200,000 P13P14 3 0123456 12345 1234561 2 4 5 6 25 1 10 7 1 8 10 / L 10 9 10 11 () ( ) TEL 23 12 7 38 13 14 15 16 17 18 L 19 20 1000123456
308 ( ) p.121
307 1944 1 1920 1995 2 3 4 5 308 ( ) p.121 309 10 12 310 6 7 ( ) ( ) ( ) 50 311 p.120 p.142 ( ) ( ) p.117 p.124 p.118 312 8 p.125 313 p.121 p.122 p.126 p.128 p.156 p.119 p.122 314 p.153 9 315 p.142 p.153
数学概論I
{a n } M >0 s.t. a n 5 M for n =1, 2,... lim n a n = α ε =1 N s.t. a n α < 1 for n > N. n > N a n 5 a n α + α < 1+ α. M := max{ a 1,..., a N, 1+ α } a n 5 M ( n) 1 α α 1+ α t a 1 a N+1 a N+2 a 2 1 a n
[ ](責).indd
.indd](/thumbs/94/118228858.jpg "[ ](責).indd")
163 21 9 22 6 23 3 37 50 6 164 62 4 JEL C93 H44 R41 R48 21 9 23 22 6 23 3 11 23 6 2003 5 2 165 3 3 2003 2009 5 1999 11 1999 6 2003 2003 ETC ETC 1,000 166 62 4 ETC 1,000 3 2009 4 9 2 1,000 2008 9 1,000
医系の統計入門第 2 版 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, 第 2 版 1 刷発行時のものです.
医系の統計入門第 2 版 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. http://www.morikita.co.jp/books/mid/009192 このサンプルページの内容は, 第 2 版 1 刷発行時のものです. i 2 t 1. 2. 3 2 3. 6 4. 7 5. n 2 ν 6. 2 7. 2003 ii 2 2013 10 iii 1987
(1) ) ) (2) (3) (4) (5) (1) (2) b (3)..
... -1... -1... -2... -6.... -1 (1)... -1 1)... -1 2)... -14 (2)... -19 (3)... -52 (4)... -18 (5)... -136.... -196 (1)... -196 (2) b... -224 (3)... -233.... -251.... -286.... -289 (1)... -289 (2)... -32
K E N Z U 01 7 16 HP M. 1 1 4 1.1 3.......................... 4 1.................................... 4 1..1..................................... 4 1...................................... 5................................
3/4/8:9 { } { } β β β α β α β β
α β : α β β α β α, [ ] [ ] V, [ ] α α β [ ] β 3/4/8:9 3/4/8:9 { } { } β β β α β α β β [] β [] β β β β α ( ( ( ( ( ( [ ] [ ] [ β ] [ α β β ] [ α ( β β ] [ α] [ ( β β ] [] α [ β β ] ( / α α [ β β ] [ ] 3
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)
solutionJIS.dvi
May 0, 006 6 morimune@econ.kyoto-u.ac.jp /9/005 (7 0/5/006 1 1.1 (a) (b) (c) c + c + + c = nc (x 1 x)+(x x)+ +(x n x) =(x 1 + x + + x n ) nx = nx nx =0 c(x 1 x)+c(x x)+ + c(x n x) =c (x i x) =0 y i (x
202
202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 DS =+α log (Spread )+ β DSRate +γlend +δ DEx DS t Spread t 1 DSRate t Lend t DEx DS DEx Spread DS
こんにちは由美子です
1 2 . sum Variable Obs Mean Std. Dev. Min Max ---------+----------------------------------------------------- var1 13.4923077.3545926.05 1.1 3 3 3 0.71 3 x 3 C 3 = 0.3579 2 1 0.71 2 x 0.29 x 3 C 2 = 0.4386
zsj2017 (Toyama) program.pdf
88 th Annual Meeting of the Zoological Society of Japan Abstracts 88 th Annual Meeting of the Zoological Society of Japan Abstracts 88 th Annual Meeting of the Zoological Society of Japan Abstracts 88
88 th Annual Meeting of the Zoological Society of Japan Abstracts 88 th Annual Meeting of the Zoological Society of Japan Abstracts 88 th Annual Meeting of the Zoological Society of Japan Abstracts 88
_170825_<52D5><7269><5B66><4F1A>_<6821><4E86><5F8C><4FEE><6B63>_<518A><5B50><4F53><FF08><5168><9801><FF09>.pdf
88 th Annual Meeting of the Zoological Society of Japan Abstracts 88 th Annual Meeting of the Zoological Society of Japan Abstracts 88 th Annual Meeting of the Zoological Society of Japan Abstracts 88
2 H23 BioS (i) data d1; input group patno t sex censor; cards;
H BioS (i) data d1; input group patno t sex censor; cards; 0 1 0 0 0 0 1 0 1 1 0 4 4 0 1 0 5 5 1 1 0 6 5 1 1 0 7 10 1 0 0 8 15 0 1 0 9 15 0 1 0 10 4 1 0 0 11 4 1 0 1 1 5 1 0 1 1 7 0 1 1 14 8 1 0 1 15 8
F = 0 F α, β F = t 2 + at + b (t α)(t β) = t 2 (α + β)t + αβ G : α + β = a, αβ = b F = 0 F (t) = 0 t α, β G t F = 0 α, β G. α β a b α β α β a b (α β)
19 7 12 1 t F := t 2 + at + b D := a 2 4b F = 0 a, b 1.1 F = 0 α, β α β a, b /stlasadisc.tex, cusp.tex, toileta.eps, toiletb.eps, fromatob.tex 1 F = 0 F α, β F = t 2 + at + b (t α)(t β) = t 2 (α + β)t
(2009) 1... / 1 ( ) / 1 ( ) / 1 ( ), 2 ( )
212009................................................ 2............................................ 115 (2009) 1... / 1 ( )........................................... 4 2... / 1 ( )......................................
( ) 2002 1 1 1 1.1....................................... 1 1.1.1................................. 1 1.1.2................................. 1 1.1.3................... 3 1.1.4......................................
.5 z = a + b + c n.6 = a sin t y = b cos t dy d a e e b e + e c e e e + e 3 s36 3 a + y = a, b > b 3 s363.7 y = + 3 y = + 3 s364.8 cos a 3 s365.9 y =,
[ ] IC. r, θ r, θ π, y y = 3 3 = r cos θ r sin θ D D = {, y ; y }, y D r, θ ep y yddy D D 9 s96. d y dt + 3dy + y = cos t dt t = y = e π + e π +. t = π y =.9 s6.3 d y d + dy d + y = y =, dy d = 3 a, b
koji07-01.dvi
2007 I II III 1, 2, 3, 4, 5, 6, 7 5 10 19 (!) 1938 70 21? 1 1 2 1 2 2 1! 4, 5 1? 50 1 2 1 1 2 2 1?? 2 1 1, 2 1, 2 1, 2, 3,... 3 1, 2 1, 3? 2 1 3 1 2 1 1, 2 2, 3? 2 1 3 2 3 2 k,l m, n k,l m, n kn > ml...?
( ) Note (e ) (µ ) (τ ) ( (ν e,e ) e- (ν µ, µ ) µ- (ν τ,τ ) τ- ) ( ) ( ) (SU(2) ) (W +,Z 0,W ) * 1) 3 * 2) [ ] [ ] [ ] ν e ν µ ν τ e
![( ) Note (e ) (µ ) (τ ) ( (ν e,e ) e- (ν µ, µ ) µ- (ν τ,τ ) τ- ) ( ) ( ) (SU(2) ) (W +,Z 0,W ) * 1) 3 * 2) [ ] [ ] [ ] ν e ν µ ν τ e](/thumbs/98/136160482.jpg "( ) Note (e ) (µ ) (τ ) ( (ν e,e ) e- (ν µ, µ ) µ- (ν τ,τ ) τ- ) ( ) ( ) (SU(2) ) (W +,Z 0,W ) * 1) 3 * 2) [ ] [ ] [ ] ν e ν µ ν τ e")
( ) Note 3 19 12 13 8 8.1 (e ) (µ ) (τ ) ( (ν e,e ) e- (ν µ, µ ) µ- (ν τ,τ ) τ- ) ( ) ( ) (SU(2) ) (W +,Z 0,W ) * 1) 3 * 2) [ ] [ ] [ ] ν e ν µ ν τ e µ τ, e R, µ R, τ R (1a) L ( ) ) * 3) W Z 1/2 ( - )
読めば必ずわかる 分散分析の基礎 第２版
2 2003 12 5 ( ) ( ) 2 I 3 1 3 2 2? 6 3 11 4? 12 II 14 5 15 6 16 7 17 8 19 9 21 10 22 11 F 25 12 : 1 26 3 I 1 17 11 x 1, x 2,, x n x( ) x = 1 n n i=1 x i 12 (SD ) x 1, x 2,, x n s 2 s 2 = 1 n n (x i x)
untitled
Horioka Nakagawa and Oshima u ( c ) t+ 1 E β (1 + r ) 1 = t i+ 1 u ( c ) t 0 β c t y t uc ( t ) E () t r t c E β t ct γ ( + r ) 1 0 t+ 1 1 = t+ 1 ξ ct + β ct γ c t + 1 1+ r ) E β t + 1 t ct (1
1 12 *1 *2 (1991) (1992) (2002) (1991) (1992) (2002) 13 (1991) (1992) (2002) *1 (2003) *2 (1997) 1
2005 1 1991 1996 5 i 1 12 *1 *2 (1991) (1992) (2002) (1991) (1992) (2002) 13 (1991) (1992) (2002) *1 (2003) *2 (1997) 1 2 13 *3 *4 200 1 14 2 250m :64.3km 457mm :76.4km 200 1 548mm 16 9 12 589 13 8 50m
/ 3 1 / 3 / 3 1 /
8-18-29 3 291415 297 1-11-4 3/31/ 3/31/ 29 8 22 29 1 17 24 8-1 29 [1] PCB [2] HCB [3] [4] [5] DDT [6-1] p,p'-ddt [6-2] p,p'-dde pg/l ( ) nd 2,4 (46/47) 2.9 18 (47/47) 84 12 pg/g-dry ( ) nd 61, (61/62)
x () g(x) = f(t) dt f(x), F (x) 3x () g(x) g (x) f(x), F (x) (3) h(x) = x 3x tf(t) dt.9 = {(x, y) ; x, y, x + y } f(x, y) = xy( x y). h (x) f(x), F (x
[ ] IC. f(x) = e x () f(x) f (x) () lim f(x) lim f(x) x + x (3) lim f(x) lim f(x) x + x (4) y = f(x) ( ) ( s46). < a < () a () lim a log xdx a log xdx ( ) n (3) lim log k log n n n k=.3 z = log(x + y ),
meiji_resume_1.PDF
β β β (q 1,q,..., q n ; p 1, p,..., p n ) H(q 1,q,..., q n ; p 1, p,..., p n ) Hψ = εψ ε k = k +1/ ε k = k(k 1) (x, y, z; p x, p y, p z ) (r; p r ), (θ; p θ ), (ϕ; p ϕ ) ε k = 1/ k p i dq i E total = E
B [ 0.1 ] x > 0 x 6= 1 f(x) µ 1 1 xn 1 + sin sin x 1 x 1 f(x) := lim. n x n (1) lim inf f(x) (2) lim sup f(x) x 1 0 x 1 0 (
![B [ 0.1 ] x > 0 x 6= 1 f(x) µ 1 1 xn 1 + sin sin x 1 x 1 f(x) := lim. n x n (1) lim inf f(x) (2) lim sup f(x) x 1 0 x 1 0 (](/thumbs/97/133036028.jpg "B [ 0.1 ] x > 0 x 6= 1 f(x) µ 1 1 xn 1 + sin sin x 1 x 1 f(x) := lim. n x n (1) lim inf f(x) (2) lim sup f(x) x 1 0 x 1 0 (")
. 28 4 14 [.1 ] x > x 6= 1 f(x) µ 1 1 xn 1 + sin + 2 + sin x 1 x 1 f(x) := lim. 1 + x n (1) lim inf f(x) (2) lim sup f(x) x 1 x 1 (3) lim inf x 1+ f(x) (4) lim sup f(x) x 1+ [.2 ] [, 1] Ω æ x (1) (2) nx(1