Chapter n m A 1, A 2,...A n (A k = [a 1 k, a2 k,..., am k ]) n n m m m 2 3 Z 2 Z = w 1 X 1 + w 2 X 2 (5.1) 1
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1 Chapter n m A 1, A 2,...A n (A k = [a 1 k, a2 k,..., am k ]) n n m m m 2 3 Z 2 Z = w 1 X 1 + w 2 X 2 (5.1) 1
2 2 CHAPTER 5. w 1 w 2 () ( X 1 ) 5.2 X 1, X 2,...X n (X k = [x 1 k, x2 k,..., xm k ]) Z Z = w 1 x 1 + w 2 x w m x m (5.2) wj 2 = 1 X 0 1 (pp ) Z Z σ 2 Z, X j σ 2 j m=2 = 1 n = 1 n = 1 n σ 2 Z = 1 n = 1 n n (Z i Z i ) 2 (5.3) n j=1 n (w 1 x 1 i + w 2 x 2 (w 1 x1 + w 2 x2 )) 2 n (w 1 (x 1 i x 1 ) + w 2 (x 2 i x 2 )) 2 m (w j x j i w j x j ) n ((w 1 ) 2 (x 1 i x 1 ) 2 + 2w 1 w 2 (x 1 i x 1 )(x 2 i x 2 ) + (w 2 ) 2 (x 2 i x 2 ) 2 ) = (w 1) 2 n ( n ) (x 1 i x 1 ) 2 + 2w 1 w 2 1 n (5.4) ( n (x 1 i x 1 )(x 2 i x 2 ) + (w 2) 2 n ) (x 2 i n x 2 ) 2 = (w 1 ) 2 σ w 1 w 2 σ 12 + (w 2 ) 2 σ 22 (5.5)
3 σ ij σ ij = 1 n (x i k x n i )(x j k x j ) (5.6) k=1 2 X i X j i = j (:σ 11 = σ 2 1) m=2 ( i x i ) 2 = i x 2 i + 2 i j x i x j (5.7) σ 2 Z = i w 2 i σ 2 i + 2 i j σ ij (5.8) 5.5 w i () 2 w 1 w 2 Lagrange F w w 2 2 = c F (w 1, w 2, λ) = w 2 1σ w 1 w 2 σ 12 + w 2 2σ 22 λ(w w 2 2 c) (5.9) w 1,w 2,λ 0 ( ) F w 1 = 2w 1 σ w 2 σ 12 2w 1 λ = 0 (5.10) F w 2 = 2w 2 σ w 1 σ 12 2w 2 λ = 0 (5.11) F λ = λ(w1 2 + w2 2 c) = 0 (5.12) c 3 2 ( 1 ) ( ) ( ) ( σ 11 σ 12 w 1 = λ σ 21 σ 22 w 2 w 1 w 2 ) (5.13) Z w 1 w 2
4 4 CHAPTER : X ( 2003 ) X=[22, 38; 24, 51; 33, 45; 35, 45; 38, 46; 40, 48; 41, 52; 41, 46; 46, 52; 46, 49; 50, 50; 51, 48; 56, 51; 56, 47; 58, 57; 58, 42; 59, 39; 61, 51; 65, 61; 68, 68;] X X S = X µ σ µ σ center() octave:69> X2=center(X) X2 =
5 5.3. : octave:68> sigma=std(x) sigma = sigma Kronecker ( 20 ) octave:72> den=kron(std(x),ones(20,1)) den = X s./ octave:73> XS = center(x)./den XS =
6 6 CHAPTER corrcoef() octave:75> R1=corrcoef(XS) R1 = octave:76> [v,l]=eig(r1) v = l = [0.707;0.707],[-0.707;0.707] Z 1 = 0.707X X 2 (5.14) Z 2 = 0.707X X 2 (5.15) ( 1 ) octave:77> sum(diag(l))
7 5.3. :2 7 ans = 2 octave:78> l/sum(diag(l)) ans = , 0.24 XS octave:81> XS*v(:,2) ans = ( 5.1 ) Figure 5.1: PCA
8 8 CHAPTER II:3 3 Octave:> Xadd=[61;62;56;64;66; 60;46;43;70;49; 54;52;62;68;68; 39;49;79;69;58]; X X3 octave:91> X3=[X,Xadd] X3 = dopca.m #dopca.m function [v,l,xs]=dopca(x) [rows,cols]=size(x); Xs= center(x)./ kron(std(x),ones(rows,1)); R = corrcoef(xs); [v,l]=eig(r); endfunction octave:96> source("dopca.m") octave:97> [v,l,xs]=dopca(x3); octave:105> v v = octave:106> l l =
9 5.4. II: octave:107> xs xs = Z1
10 10 CHAPTER 5. 3 Z 1 = 0.60x x x 3 (5.16) Z 2 = 0.52x x x 3 (5.17) Z 3 = 0.61x x x 3 (5.18) 0.55, 0.31, 0.14 (86%) x 1 x 2 x 3 / 5.5 III: ( Daffertshofer e.al., Clin. Biomech. 19 (2004), pp ) x 1 = sin2πt (5.19) x 2 = 0.5sin2πt (5.20) x 3 = cos2πt (5.21) Octave PCAdat1.m #PCAdat1.m t=(linspace(0,10,200)) ; xc=[sin(2*pi*t),0.5*sin(2*pi*t),cos(2*pi*t)]; linspace(a,b,c) [a,b] c 3 gsplot octave:80> source("pcadat1.m") octave:82> gset parametric octave:83> gsplot xc 3
11 5.5. III: 11 octave:84> Rxc=corrcoef(xc) Rxc = e e e e e e e e e+00 octave:86> [vc,lc]=eig(rxc) vc = e e e e e e e e e-16 lc = PCAdat2.m sin x 1 = sin(2πt + noize 1 ) (5.22) x 2 = 0.5 sin(2πt + noize 2 ) (5.23) x 3 = noize 3 (5.24) noize 0.05 PCAdat2.m #PCAdat2.m n=1000; na=0.05; t=(linspace(0,10,n)) ; Noize1=randn(n,3)*na;
12 12 CHAPTER 5. t1 = [t,t,t]+noize1; Noize2=randn(n,3)*na; xc2=[sin(2*pi*t1(:,1)),0.5*sin(2*pi*t1(:,2)),zeros(n,1)]+noize2; octave:170> source("pcadat2.m") octave:171> plot(xc2) octave:172> r2=corrcoef(xc2) r2 = octave:173> [vc2,lc2]=eig(r2) vc2 = lc2 = octave:174> rx1=xc2*vc2(:,3); octave:175> rx2=xc2*vc2(:,2); octave:176> rx3=xc2*vc2(:,1); octave:177> plot(rx1) octave:178> plot(rx2) octave:179> plot(rx3) 3
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1. 4cm 16 cm 4cm 20cm 18 cm L λ(x)=ax [kg/m] A x 4cm A 4cm 12 cm h h Y 0 a G 0.38h a b x r(x) x y = 1 h 0.38h G b h X x r(x) 1 S(x) = πr(x) 2 a,b, h,π
![1. 4cm 16 cm 4cm 20cm 18 cm L λ(x)=ax [kg/m] A x 4cm A 4cm 12 cm h h Y 0 a G 0.38h a b x r(x) x y = 1 h 0.38h G b h X x r(x) 1 S(x) = πr(x) 2 a,b, h,π](/thumbs/101/149329485.jpg "1. 4cm 16 cm 4cm 20cm 18 cm L λ(x)=ax [kg/m] A x 4cm A 4cm 12 cm h h Y 0 a G 0.38h a b x r(x) x y = 1 h 0.38h G b h X x r(x) 1 S(x) = πr(x) 2 a,b, h,π")
. 4cm 6 cm 4cm cm 8 cm λ()=a [kg/m] A 4cm A 4cm cm h h Y a G.38h a b () y = h.38h G b h X () S() = π() a,b, h,π V = ρ M = ρv G = M h S() 3 d a,b, h 4 G = 5 h a b a b = 6 ω() s v m θ() m v () θ() ω() dθ()
7
01111() 7.1 (ii) 7. (iii) 7.1 poit defect d hkl d * hkl ε Δd hkl d hkl ~ Δd * hkl * d hkl (7.1) f ( ε ) 1 πσ e ε σ (7.) σ relative strai root ea square d * siθ λ (7.) Δd * cosθ Δθ λ (7.4) ε Δθ ( Δθ ) Δd
2 7 ( ) µ 重力方向に基づくコントローラの向き決定方法
( ) 2/Sep 09 1 ( ) ( ) 3 2 X w, Y w, Z w +X w = +Y w = +Z w = 1 X c, Y c, Z c X c, Y c, Z c X w, Y w, Z w Y c Z c X c 1: X c, Y c, Z c Kentaro Yamaguchi@bandainamcogames.co.jp 1 M M v 0, v 1, v 2 v 0 v
dvipsj.8449.dvi
9 1 9 9.1 9 2 (1) 9.1 9.2 σ a = σ Y FS σ a : σ Y : σ b = M I c = M W FS : M : I : c : = σ b
2005 2006.2.22-1 - 1 Fig. 1 2005 2006.2.22-2 - Element-Free Galerkin Method (EFGM) Meshless Local Petrov-Galerkin Method (MLPGM) 2005 2006.2.22-3 - 2 MLS u h (x) 1 p T (x) = [1, x, y]. (1) φ(x) 0.5 φ(x)
e a b a b b a a a 1 a a 1 = a 1 a = e G G G : x ( x =, 8, 1 ) x 1,, 60 θ, ϕ ψ θ G G H H G x. n n 1 n 1 n σ = (σ 1, σ,..., σ N ) i σ i i n S n n = 1,,
01 10 18 ( ) 1 6 6 1 8 8 1 6 1 0 0 0 0 1 Table 1: 10 0 8 180 1 1 1. ( : 60 60 ) : 1. 1 e a b a b b a a a 1 a a 1 = a 1 a = e G G G : x ( x =, 8, 1 ) x 1,, 60 θ, ϕ ψ θ G G H H G x. n n 1 n 1 n σ = (σ 1,
5 c P 5 kn n t π (.5 P 7 MP π (.5 n t n cos π. MP 6 4 t sin π 6 cos π 6.7 MP 4 P P N i i i i N i j F j ii N i i ii F j i i N ii li i F j i ij li i i i
i j ij i j ii,, i j ij ij ij (, P P P P θ N θ P P cosθ N F N P cosθ F Psinθ P P F P P θ N P cos θ cos θ cosθ F P sinθ cosθ sinθ cosθ sinθ 5 c P 5 kn n t π (.5 P 7 MP π (.5 n t n cos π. MP 6 4 t sin π 6
（個別のテーマ） 薬剤に関連した医療事故
- 67 - III - 68 - - 69 - III - 70 - - 71 - III - 72 - - 73 - III - 74 - - 75 - III - 76 - - 77 - III - 78 - - 79 - III - 80 - - 81 - III - 82 - - 83 - III - 84 - - 85 - - 86 - III - 87 - III - 88 - - 89
（個別のテーマ） 放射線検査に関連した医療事故
- 131 - III - 132 - - 133 - III - 134 - - 135 - III - 136 - - 137 - III - 138 - - 139 - III - 140 - - 141 - III - 142 - - 143 - III - 144 - - 145 - III - 146 - - 147 - III - 148 - - 149 - III - 150 - -
(iii) x, x N(µ, ) z = x µ () N(0, ) () 0 (y,, y 0 ) (σ = 6) *3 0 y y 2 y 3 y 4 y 5 y 6 y 7 y 8 y 9 y ( ) *4 H 0 : µ
t 2 Armitage t t t χ 2 F χ 2 F 2 µ, N(µ, ) f(x µ, ) = ( ) exp (x µ)2 2πσ 2 2 0, N(0, ) (00 α) z(α) t * 2. t (i)x N(µ, ) x µ σ N(0, ) 2 (ii)x,, x N(µ, ) x = x + +x ( N µ, σ2 ) (iii) (i),(ii) x,, x N(µ,
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訪問看護ステーションにおける安全性及び安定的なサービス提供の確保に関する調査研究事業報告書
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無印良品のスキンケア
2 3 4 5 P.22 P.10 P.18 P.14 P.24 Na 6 7 P.10 P.22 P.14 P.18 P.24 8 9 1701172 1,400 1701189 1,000 1081267 1,600 1701257 2,600 1125923 450 1081250 1,800 1125916 650 1081144 1,800 1081229 1,500 Na 1701240
(τ τ ) τ, σ ( ) w = τ iσ, w = τ + iσ (w ) w, w ( ) τ, σ τ = (w + w), σ = i (w w) w, w w = τ w τ + σ w σ = τ + i σ w = τ w τ + σ w σ = τ i σ g ab w, w
S = 4π dτ dσ gg ij i X µ j X ν η µν η µν g ij g ij = g ij = ( 0 0 ) τ, σ (+, +) τ τ = iτ ds ds = dτ + dσ ds = dτ + dσ δ ij ( ) a =, a = τ b = σ g ij δ ab g g ( +, +,... ) S = 4π S = 4π ( i) = i 4π dτ dσ
応用数学III-4.ppt
III f x ( ) = 1 f x ( ) = P( X = x) = f ( x) = P( X = x) =! x ( ) b! a, X! U a,b f ( x) =! " e #!x, X! Ex (!) n! ( n! x)!x! " x 1! " x! e"!, X! Po! ( ) n! x, X! B( n;" ) ( ) ! xf ( x) = = n n!! ( n
c y /2 ddy = = 2π sin θ /2 dθd /2 [ ] 2π cos θ d = log 2 + a 2 d = log 2 + a 2 = log 2 + a a 2 d d + 2 = l
![c y /2 ddy = = 2π sin θ /2 dθd /2 [ ] 2π cos θ d = log 2 + a 2 d = log 2 + a 2 = log 2 + a a 2 d d + 2 = l](/thumbs/85/91372642.jpg "c y /2 ddy = = 2π sin θ /2 dθd /2 [ ] 2π cos θ d = log 2 + a 2 d = log 2 + a 2 = log 2 + a a 2 d d + 2 = l")
c 28. 2, y 2, θ = cos θ y = sin θ 2 3, y, 3, θ, ϕ = sin θ cos ϕ 3 y = sin θ sin ϕ 4 = cos θ 5.2 2 e, e y 2 e, e θ e = cos θ e sin θ e θ 6 e y = sin θ e + cos θ e θ 7.3 sgn sgn = = { = + > 2 < 8.4 a b 2
64 3 g=9.85 m/s 2 g=9.791 m/s 2 36, km ( ) 1 () 2 () m/s : : a) b) kg/m kg/m k
63 3 Section 3.1 g 3.1 3.1: : 64 3 g=9.85 m/s 2 g=9.791 m/s 2 36, km ( ) 1 () 2 () 3 9.8 m/s 2 3.2 3.2: : a) b) 5 15 4 1 1. 1 3 14. 1 3 kg/m 3 2 3.3 1 3 5.8 1 3 kg/m 3 3 2.65 1 3 kg/m 3 4 6 m 3.1. 65 5
main.dvi
SGC - 70 2, 3 23 ɛ-δ 2.12.8 3 2.92.13 4 2 3 1 2.1 2.102.12 [8][14] [1],[2] [4][7] 2 [4] 1 2009 8 1 1 1.1... 1 1.2... 4 1.3 1... 8 1.4 2... 9 1.5... 12 1.6 1... 16 1.7... 18 1.8... 21 1.9... 23 2 27 2.1
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
73 p.1 22 16 2004p.152
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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