6CO2 6H 2O C6H 2O6 6O2
= =
n i= P X i n H X - P X logp X i= i n X X X P i P 0 i l n i n n P i= i H X = - p log P n i= i i i + H X - P X logp X dx -
2 2 2 2 3 2 4 2 d( Q) d( Q) > 0 = 0 di di d( Q) < 0 di
2
3
[ ] [ ] H H n + H H = P P H i i i n n log
s = p c tr n s = p c tr = 0 ( 3) Θ n ro rn rk r < r < r s > s > s n k k k+ k k k+ n s > s > Λ Λ s > s > s > Λ Λ > s > s o k k k+ n n
S = Q( P C tr ) = 0 k P C tr = 0 P C rk = t 2 9 4 S = Q( P C) > 0 o r S = Q( P C tr ) k k k k P C = Q[( P C) rk ] r = Q[( P C) ( P C)] = 0 k k ( 5) P C r k+ S Q P C tr Q P C rk r k+ = [ k+ ] = [( ) ( k+ )] P C Θ rk+ > rk rk+ > P C r k sk+ < 0 r k
2 3 S = m r + m r + m r 2 2 3 3 2 2 2 = m r + m r + c 2r C cos 2 2 + m r + b 2r b cos( α ) 3 ds = 0 dr r r r 2 3 P S = m r = m ( x x ) + ( y y ) s = x n n i i i= i= m ( x x ) 2 2 i i i x y n n m i i i 2 2 i x xi + y y r = ( ) ( i) i= i = ( y y ) n m i ( x xi ) = 0 r i= i 0 n m i ( y y r i ) = 0 i= i i 8 9
S i b = ari + πr 2 r = R O R O 2 2πr dr 2πr dr = 2 3 ( 2) S b 2a b = a r + = R + πr 3 πr 2 2 ds dr 2 2b = a 3 = 0 3 πr 3b b R = 3 = 0. 9853 3 πa a b = 0985. 3 a
T T A T T A B SA S = TB = D D S = S 4 S S A A B = T Θ D + D = D S 2 2 DA = ( D D AB A) S B D = D 2 A 2 B A B A B B 2 2 A B SA SA DA = ( D D = D D AB A) A B S s D + D S A A A = D s D A = D + B A B S s B A A B A B B DB 2 ( ) 4 D S s A B A A B B A S s A SB s B A 5
I K M ai M aj i j ij = ij b 6 D ij
PiVi PjVj I ij = 2 ( 7) d ij
P V S = 2 8 d n m j m m2 mn Vi = b = b = b + Λ Λ b 9 D D D D j= ij i i2 in V D m R dr i = b ( ) ( 20)
P i n m j m m 2 m = = = + Λ Λ D D D D j= ij i i2 n in 2
i o,j i o,j n K = g q i= ij io
3 K = gi, 989 qi, 952 = 60. 2 83. 5 + 29. 7. 4 + 7. 9 9. = 46. 6(%)
( ) ( ) (, )
00 A 000 5 200 40 A 00 4 040 i
ji ki i= cosθ jk = n n 2 2 x ji x ki i= i= n x x cos 2 i Bi i= θ AB = = 2 2 2 2 2 2 2 2 xai x Bi i= i= = 098203. xa x 5 20 + 4 34 ( 5 + 4 ) ( 29 + 34 ) na n B cos θa ' C = cosθa+ B, C = cosθac + cosθ BC n n A+ B A+ B
nb n C cos θab ' = cosθa, B+ C = cosθab + cosθ n n B+ C B+ C = 0. 98203 + 0. 98367 = 0. 98285 2 2 nb nc cos θb ' D = cosθ B+ C, D = cosθ BD + cosθ n n B+ C B+ C = 0. 97376 + 0. 97574 = 0. 97475 2 2 cos θb ' E = cos θ B+ C, E = 0. 97030 + 0. 9724 2 2 = 0. 9736 AC DC nd ne cos θad ' = cosθa, D+ E = cosθ AD + cosθae n n D+ E D+ E = 09992. + 0. 99852 = 0. 99887 2 2 nd n E cos θb ' D ' = cosθ B D+ E = cosθ B D + cosθ n n ', ' B' E D+ E D+ E = 097475. + 09736. = 0. 97306 2 2
na n D' cos θb ' D ' ' = cos θ B', A+ D = cosθ B' A + cos θ B' D ' n ' n A+ D A+ D' =. +. =. 3 0 98285 2 0 97306 097632 3
2 2 0 E x = ( ) E x 2 a x 2 a 7 8 7 7 E = = 4. 3, E2 = = 4,Λ Λ 72 72 2 2 2 2 2 O E 0 4 3 3 4 3 57 x = ( ) = (. ) ( ) (. ) + + Λ Λ + = 57. 736 E 4. 3 4 57. x 2 a x 2 2 a x o 0. 0 2 x o 0. 0
x 2 o 0. 0 2 2 2 ( 2 6 3 ) xab = NV = 2 = 028. Λ Λ 5 7 9 3
x 2 2 a x 0 2 x 0
2 2 2 x x 0 V = V 2 N V 2 V 2 V 2 V 2
' ' F F F 2 ' ' = g h j k l = a e f i 2
n y = y ( i ) i n y = ( yi / n)
X = n i Xi / N X 900 920 900 850 90 + 920 6 900 X = 890 960 + 950 850 + 860 890 6 900
S n n = Xi X S Xi X n ( ) = n ( ) 2 2 i= i= 2 Xi 990 920 900 850 90 920 Xi - X 0-20 0 50-0 -20 (Xi - X) 2 0 400 0 2500 00 400 S 2 = / 6 3400 = 566. 7 S = 238. X 890 960 950 850 860 890 Xi X -0 60 50-50 -40-0 2 00 3600 2500 2500 600 00 ( Xi X) S 2 = / 6 0400 = 733. 3 S = 4. 6 2 S S 2
A R I = M R
897-550 I 000-550 = 0.77 786-550 I 000-550 = 0.52 709-550 I = 000-550 = 0.35 m d ij = ( Xik X jk ) 2 k= X j
Xij Xj X' ij = S j
990
xx2λ x D x x x D X = 2 22Λ 2 Λ Λ Λ Λ Λ xnxn2λ x ND z ij = x ji x σ i j j = 2, Λ, N x j σ i zz2λ zd z z z D z = 2 22Λ 2 Λ Λ Λ Λ Λ z Nz N2Λ znd R = Z Z N ' aa2λ ad a a a K A = a a a k = a ij = 2 22Λ 2 [ 2Λ ] Λ Λ Λ Λ Λ z Dz D2Λ zdk a j = λi ui
xx2λ x D x x x D X = 2 22Λ 2 Λ Λ Λ Λ Λ xnxn2λ x ND X = X / X ij ij ij i Xij X X' ij = S X ' X = ij ij j j ' X ij = i X S X j j = N i X m ij ' = 0 S = j 2 j = ( Xij X j) i min { X max ij} { Xij} min{ Xij} R = i R j j i 0 X Xij max ' ' Xij = max { } i { X ij} i ij X ij = i
d d = X = jk ij p k k= p ij = Xik X jk p ( ) 2 k= p p d ij = [ Xik Xjk ] k= max d k X X ij = ik jk ij i j i j d = ( X X ) ( X X )' Xik jk cosθ k= ij = p p cosθ 2 2 Xik X jk k= k= p ( Xik Xi)( X jk X j) rij k= = p p ( X Xi ) ( X X ik k= k= p jk
T m i( vi x)( vi x)'/ T i= F = T ( x j xi)( x j x i)'/ m T i= j i V ik = x jk k = 2 no x m j i ;, Λ, i
y = c x + c x + Λ + c x = c x 2 2 D D D r r r= y y 2 [ y( A) y( B)] n i= [ y ( A) y( A)] + [ y ( B) y( B)] i 2 n 2 i 2 i= 2 [ y( A) y( B)] I = n i= [ y ( A) y( A)] + [ y ( B) y( B)] i 2 n2 i 2 i= I = 0 c I = 0 c 2 Λ Λ Λ I = 0 c D
D y( A) = c r x r ( A) r= D y( B) = c r x r ( B) r= y( A) y ( B) y( A) y( B) n y A n y B y = + ( ) 2 ( ) c n + n 2 y( A) y ( B) y( A) y( B) nn2 n + n 2 P 2 F = [ ][ ] D ( n + n )( n + n 2 ) p 2 2 3 PiVi Ci Sik = f b d ik
f 3 P V C b dk = f 3 P V C 2 2 2 b d 2k dk P2V2C2 = ( ) d2k P VC 3b
πa π / ( 2a) = a 4 2 2 π 4 2 2 4πr / ( 2πr) = r π π
R = D obs 6 5 Dram Dobs Dram Dran = 2 N A N A N R = 2Dobs 6 6 A
B ri = B 6 8 B i = i B r 6 9 q Pr = P / r ( 6 0)
P ri P P 2 P 3 P 4 P n P 0 0 0 0 0 n+ 0 50 + 42 + 49 A = = 47 3 47 + 28 + 42 + 4. 6 39.7 4
e C = (6 2 n( n ) 2
S = PV 6 2
PV Si = 2 6 2 2 d i DAB d A = 6 2 3 PB + P A F K m m 2 = 2 d
I ij Wi Pi WjPj = ( )( ) b 6 2 4 D ij PiViPjVj Eij = 2 6 2 5 r n I = I + I j= n ij ii E = E + E j= ij ii 6 2 6 6 2 7
I = f ( ) D
R = - H 3 3 H m A 3 0
H log 36 5.7 bit 2 2 R = - H 2 H = 0.42 2 m H = log 6 2.58 bit 3 2 R = - H 3 H 3 m 0.7
X + X2 + Λ + Xn + Y = X X2 + X22 + Λ + X2n + Y2 = X 2 ( 8 2 ) Λ Λ Λ Λ Λ Λ Λ Λ Λ Λ Λ Λ Xn + Xn2 + Λ + Xnn + Yn = Xn n XijYl = Xi ( i =, 2Λ, n) ( 8 2 2) j= n i= X + D + V + M = X ( j =, 2Λ, n) 8 2 3 ij j j j j X ij a ij = ( i, j =, 2, Λ, n) 8 2 4 X j
ax + a2x2 + Λ + anxn + Y = X a 2X + a 22 X2 + Λ + a2nxn + Y2 = X2 Λ Λ Λ a nx + a n2 X2 + Λ + a nn Xn + Yn = Xn n ( 8 2 6) aijx j + Yi = Xi ( i =, 2, Λ, n) ( 8 2 7) j= aa2λ an a a a n A = 2 22Λ 2 Λ Λ Λ Λ Λ a na n2λ a nn X Y X Y X = 2 Y = 2 Λ Λ Xn Y3
3077. 0. 2308 0. 0769 ( I A' ) = 0466. 846. 0. 653 0053. 0. 205 795.
3077. 0. 2308 00769. = 0466. 846. 0653. 0. 053 0205. 795. 630 057. 70 770 = 2650. 730 0528.
M z = c x + c x + Λ + c x ax 2 2 n n a X + a2x2 + Λ + a n Xn = b a 2X + a 22 X2 + Λ + a2nxn = b2 Λ Λ Λ Λ Λ Λ Λ Λ Λ Λ Λ Λ Λ Λ a mx + a m2x2 + Λ + a mn Xn = b m X, X2mΛ Λ, Xn 0 M ax z = CX AX = b X 0 C = ( c, c, Λ Λ c ) 2 X = (x,x, Λ Λ x ) n 2 n a a 2 Λ Λ an A Λ Λ Λ Λ Λ Λ Λ Λ a a Λ Λ a m m2 mn T b = ( b, b, Λ Λ b ) b 0 2 m T i m zj = cia ij ( ci a ij j i=
θ = Min ( b i a i i a ij > 0) (l 8 2 5 ) ( i = k) a kl Ekl = ( i =, 2, Λ m) 8 2 6 a i ( i k) a k b i + b k Ei ( i k) bi ' = ( i =, 2, Λ m) ( 8 2 7) b k Ei ( i = k) C c c c C X b c x 0 0 0 a a 0 a
min b θ = ( i b > ) k a i 0 = i a i a k
k k k k r r r r 2 Λ j Λ m k k k k r2 r22 Λ r2 j Λ r2m Rk = Λ Λ Λ Λ Λ Λ Λ Λ Λ k k k k rn rn2 Λ rnj Λ rnm k d k ij rij = k d ij K K K S = (S,S, Λ,S ) K 2 n
0.45 0.55 0 0 0 0.0 0.35 0.25 0.30 0 R 0 0 0.5 0.30 0.55 0.5 0.25 0.20 0.35 0.05 0.5 0 0.05 0.25 0.55 0.20 0.20 0.55 0.05 0 0.20 0.55 0.5 0.0 0 R2 = 0 0.30 0.45 0.25 0 0.0 0.50 0.30 0.0 0 0.05 0.25 0.50 0.20 0 0.05 0.20 0.20 0.45 0.0 0.55 0.25 0.20 0 0 R 3 0.40 0.35 0.20 0.05 0 0.20 0.30 0.30 0.5 0.05 0.45 0.35 0.20 0 0
a = a ii ij = a ji
W' i = ( a ) W' i Wi = n j= Wi' n i= ij Wi' n W = i = 2 n 8 3 i = 2 n 8 3 w, w, Λ, w 2 n T 3 4 CI CR = 8 3 5 RI λ max n CI = 8 3 6 n λ max n ( ) λ max = AW 8 3 7 i = nw i i i i i i T b = ( b, b2, Λ b jλ bn) i b = a b j = 2 n 8 3 8 j m i i= B n B ( b, b, Λ Λ b ) 2 n T
3 λ max
C P P P P P P P P P P P P P P W P 3 5 2 4 7 6 8 8 8 8 9 9 9 0.235 P 3 2 P 4 2 5 4 6 9 8 7 8 9 9 0.43 2 3 2 4 9 6 5 7 8 9 0.084 P 3 6 5 7 9 8 8 9 9 9 0.85 P 4 3 5 9 7 6 8 8 9 0.0 P 2 2 7 4 3 5 6 8 0.047 P 3 8 5 4 6 7 9 0.063 P 6 3 2 4 5 7 0.035 P 4 P 2 5 3 2 2 0.009 2 3 5 0.026 P 3 4 6 0.026 P 2 4 0.05 P 3 0.02 P 0.008 λ max = 5. 653 CI = 0. 27 RI = 57. CR = 0. 079 < 0.
C P P P P P P P P P P P P P P W P 2 3 4 5 9 6 9 9 9 7 8 8 9 0.233 P 2 3 4 8 5 9 9 9 6 7 8 9 0.84 P 2 3 8 4 9 9 8 5 6 7 9 0.42 P 2 7 3 9 8 8 4 5 6 9 0.09 P 6 2 9 8 7 3 4 5 8 0.083 P 5 5 3 2 4 3 2 4 0.07 P 9 7 6 2 3 8 4 0.064 P 3 P 2 P 5 4 8 6 2 5 4 6 4 3 2 0.008 2 0.0 3 0.05 P 2 3 7 0.084 P 2 6 P 5 0.027 0.027 P 0.05 λ max = 5. 93 CI = 048. RI = 57. CR = 0. 09 < 0.
C P P P P P P P P P P P P P P W P 6 8 5 2 7 8 3 9 4 9 9 9 9 0.237 P 4 2 P 5 P 5 8 4 2 3 3 2 3 4 4 2 3 8 5 9 3 6 2 5 7 6 9 0.063 2 4 6 3 0.026 6 8 9 7 0.084 P 6 7 2 3 8 9 9 9 9 0.85 P 2 5 P 6 7 6 4 5 4 5 7 5 0.046 3 5 7 4 0.035 P 9 2 8 9 9 8 0.43 P 6 4 2 3 2 0.009 P 7 9 9 8 0.0 P 3 5 2 0.020 P 3 2 P 4 0.02 0.008 P 0.05 λ max = 5. 635 C0. 25 RI = 57. CR = 0. 078 > 0.
P = P P P = P ( ) i i i2 im ij j= m F = P P P = P ij ( 2) i i i2 im m j= Pi ' = m n j= P pi' Pi n P ' n i= i= P i i ij P i 2 n i P j i
x = Xcosa Ysina y = Xsina Ycosa tga = yx xy xx + yy a X a Y a x y = b X b Y b 2 3 2 3 c X c Y c X c Y 2 2 x' = a + a 2 x + a 3y + a 4xy y' = b + b2 x + b3y + b 4xy
2
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