u Θ u u u ( λ + ) v Θ v v v ( λ + ) (.) Θ ( λ + ) (.) u + + v (.),, S ( λ + ) uv,, S uv, SH (.8) (.8) S S (.9),

Similar documents
2 Part A B C A > B > C (0) 90, 69, 61, 68, 6, 77, 75, 20, 41, 34 (1) 8, 56, 16, 50, 43, 66, 44, 77, 55, 48 (2) 92, 74, 56, 81, 84, 86, 1, 27,

表1-表4_05

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.

all.dvi

O x y z O ( O ) O (O ) 3 x y z O O x v t = t = 0 ( 1 ) O t = 0 c t r = ct P (x, y, z) r 2 = x 2 + y 2 + z 2 (t, x, y, z) (ct) 2 x 2 y 2 z 2 = 0

1. 1 A : l l : (1) l m (m 3) (2) m (3) n (n 3) (4) A α, β γ α β + γ = 2 m l lm n nα nα = lm. α = lm n. m lm 2β 2β = lm β = lm 2. γ l 2. 3

LLG-R8.Nisus.pdf

4 Mindlin -Reissner 4 δ T T T εσdω= δ ubdω+ δ utd Γ Ω Ω Γ T εσ (1.1) ε σ u b t 3 σ ε. u T T T = = = { σx σ y σ z τxy τ yz τzx} { εx εy εz γ xy γ yz γ


all.dvi

ε

2007年08月号 022416/0812 会告

( ) 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

日本内科学会雑誌第102巻第4号

SO(2)



P1〜14/稲 〃

xyz,, uvw,, Bernoulli-Euler u c c c v, w θ x c c c dv ( x) dw uxyz (,, ) = u( x) y z + ω( yz, ) φ dx dx c vxyz (,, ) = v( x) zθ x ( x) c wxyz (,, ) =


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.

変 位 変位とは 物体中のある点が変形後に 別の点に異動したときの位置の変化で あり ベクトル量である 変位には 物体の変形の他に剛体運動 剛体変位 が含まれている 剛体変位 P(x, y, z) 平行移動と回転 P! (x + u, y + v, z + w) Q(x + d x, y + dy,

N cos s s cos ψ e e e e 3 3 e e 3 e 3 e

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' =

D = [a, b] [c, d] D ij P ij (ξ ij, η ij ) f S(f,, {P ij }) S(f,, {P ij }) = = k m i=1 j=1 m n f(ξ ij, η ij )(x i x i 1 )(y j y j 1 ) = i=1 j

untitled

西食堂

フィジカルコンディショニング

PowerPoint プレゼンテーション

支援リスト3/30.xls

untitled

第5回東京都廃棄物審議会


n (1.6) i j=1 1 n a ij x j = b i (1.7) (1.7) (1.4) (1.5) (1.4) (1.7) u, v, w ε x, ε y, ε x, γ yz, γ zx, γ xy (1.8) ε x = u x ε y = v y ε z = w z γ yz

(Compton Scattering) Beaming 1 exp [i (k x ωt)] k λ k = 2π/λ ω = 2πν k = ω/c k x ωt ( ω ) k α c, k k x ωt η αβ k α x β diag( + ++) x β = (ct, x) O O x

meiji_resume_1.PDF

( ) e + e ( ) ( ) e + e () ( ) e e Τ ( ) e e ( ) ( ) () () ( ) ( ) ( ) ( )

基礎数学I

TOP URL 1

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


untitled

.2 ρ dv dt = ρk grad p + 3 η grad (divv) + η 2 v.3 divh = 0, rote + c H t = 0 dive = ρ, H = 0, E = ρ, roth c E t = c ρv E + H c t = 0 H c E t = c ρv T

II (No.2) 2 4,.. (1) (cm) (2) (cm) , (

(1.2) T D = 0 T = D = 30 kn 1.2 (1.4) 2F W = 0 F = W/2 = 300 kn/2 = 150 kn 1.3 (1.9) R = W 1 + W 2 = = 1100 N. (1.9) W 2 b W 1 a = 0

6 6.1 L r p hl = r p (6.1) 1, 2, 3 r =(x, y, z )=(r 1,r 2,r 3 ), p =(p x,p y,p z )=(p 1,p 2,p 3 ) (6.2) hl i = jk ɛ ijk r j p k (6.3) ɛ ijk Levi Civit

0406_total.pdf

Note.tex 2008/09/19( )

The Physics of Atmospheres CAPTER :

1 (Berry,1975) 2-6 p (S πr 2 )p πr 2 p 2πRγ p p = 2γ R (2.5).1-1 : : : : ( ).2 α, β α, β () X S = X X α X β (.1) 1 2

all.dvi

総研大恒星進化概要.dvi

nsg02-13/ky045059301600033210

QMII_10.dvi

3 filename=quantum-3dim110705a.tex ,2 [1],[2],[3] [3] U(x, y, z; t), p x ˆp x = h i x, p y ˆp y = h i y, p z ˆp z = h

JKR Point loading of an elastic half-space 2 3 Pressure applied to a circular region Boussinesq, n =

untitled

s s U s L e A = P A l l + dl dε = dl l l

201711grade1ouyou.pdf

II 1 II 2012 II Gauss-Bonnet II

) a + b = i + 6 b c = 6i j ) a = 0 b = c = 0 ) â = i + j 0 ˆb = 4) a b = b c = j + ) cos α = cos β = 6) a ˆb = b ĉ = 0 7) a b = 6i j b c = i + 6j + 8)

gr09.dvi

: , 2.0, 3.0, 2.0, (%) ( 2.

Einstein 1905 Lorentz Maxwell c E p E 2 (pc) 2 = m 2 c 4 (7.1) m E ( ) E p µ =(p 0,p 1,p 2,p 3 )=(p 0, p )= c, p (7.2) x µ =(x 0,x 1,x 2,x

TOP URL 1

TOP URL 1

高知工科大学電子 光システム工学科

* ἅ ὅς 03 05(06) 0 ἄβιος,-ον, ἄβροτον ἄβροτος ἄβροτος,-ον, 08 17(01)-03 0 ἄβυσσος,-ου (ἡ), 08 17(01)-03 0 ἀβύσσου ἄβυ

untitled

『共形場理論』

kou05.dvi

eto-vol2.prepri.dvi

ii 3.,. 4. F. (), ,,. 8.,. 1. (75%) (25%) =7 20, =7 21 (. ). 1.,, (). 3.,. 1. ().,.,.,.,.,. () (12 )., (), 0. 2., 1., 0,.

D d d c b a c x n cε c sε c c σ c sσ c n a c a t sε t sσ t n a t cε t cσ t S n = 0 ( ) 2 bd + n a 2 cdc + atd xn = bd + n ( ac + at ) n = n 1 I M = E

(1) 1.1


振動工学に基礎

2.5 (Gauss) (flux) v(r)( ) S n S v n v n (1) v n S = v n S = v S, n S S. n n S v S v Minoru TANAKA (Osaka Univ.) I(2012), Sec p. 1/30

φ s i = m j=1 f x j ξ j s i (1)? φ i = φ s i f j = f x j x ji = ξ j s i (1) φ 1 φ 2. φ n = m j=1 f jx j1 m j=1 f jx j2. m

森林航測22号

7 π L int = gψ(x)ψ(x)φ(x) + (7.4) [ ] p ψ N = n (7.5) π (π +,π 0,π ) ψ (σ, σ, σ )ψ ( A) σ τ ( L int = gψψφ g N τ ) N π * ) (7.6) π π = (π, π, π ) π ±

t = h x z z = h z = t (x, z) (v x (x, z, t), v z (x, z, t)) ρ v x x + v z z = 0 (1) 2-2. (v x, v z ) φ(x, z, t) v x = φ x, v z

Part () () Γ Part ,



18 I ( ) (1) I-1,I-2,I-3 (2) (3) I-1 ( ) (100 ) θ ϕ θ ϕ m m l l θ ϕ θ ϕ 2 g (1) (2) 0 (3) θ ϕ (4) (3) θ(t) = A 1 cos(ω 1 t + α 1 ) + A 2 cos(ω 2 t + α

PowerPoint プレゼンテーション

EP-808A Series

1.500 m X Y m m m m m m m m m m m m N/ N/ ( ) qa N/ N/ 2 2

N/m f x x L dl U 1 du = T ds pdv + fdl (2.1)

,. Black-Scholes u t t, x c u 0 t, x x u t t, x c u t, x x u t t, x + σ x u t, x + rx ut, x rux, t 0 x x,,.,. Step 3, 7,,, Step 6., Step 4,. Step 5,,.

Z: Q: R: C: sin 6 5 ζ a, b


untitled

susy.dvi


白山羊さんの宿題.PDF

l µ l µ l 0 (1, x r, y r, z r ) 1 r (1, x r, y r, z r ) l µ g µν η µν 2ml µ l ν 1 2m r 2mx r 2 2my r 2 2mz r 2 2mx r 2 1 2mx2 2mxy 2mxz 2my r 2mz 2 r

keisoku01.dvi

1 1.1 ( ). z = a + bi, a, b R 0 a, b 0 a 2 + b 2 0 z = a + bi = ( ) a 2 + b 2 a a 2 + b + b 2 a 2 + b i 2 r = a 2 + b 2 θ cos θ = a a 2 + b 2, sin θ =

Transcription:

ML rgr ML ML ML (,, ) σ τ τ u + + τ σ τ v + + τ τ σ + + (.) uv,,,, σ, σ, σ, τ, τ, τ t (Hook) σ λθ + ε, τ γ σ λθ + ε, τ γ σ λθ + ε, τ γ λ, E ν ν λ E, E ( + ν)( ν) ( + ν) Θ Θ ε + ε + ε (.) ε, ε, ε, γ, γ, γ u u v ε, γ + v v ε, γ + (.) u ε, γ + (.)(.)(.) (.) (.)

u Θ u u u ( λ + ) + + + v Θ v v v ( λ + ) + + + (.) Θ ( λ + ) + + + (.) u + + v + + + + (.),, S ( λ + ) + + + + + + uv,, S uv, SH (.8) (.8) S S (.9), S S λ +, S (.) Laplac + + (.) (.) ML (.9) (.)(.)(.)

ML ML (.8) ( λ + ) + + (.),, + +,, + +,, (.) (.) p u v K + + u p v p p,, (.) uv,,,, p K K c c : (.)(.)(.),,, (.)(.) ( λ + ) + + ( λ + ) (.),, + + S S, S, S + + SH SH, SH, SH (.) (.)

, S, SH,, S SH,, S SH ML (.)(.) ( λ + ) ( λ + ) S ( λ + ) ( λ + ) S ( λ + ) ( λ + ) S ( + + ) (.8) ( + + ) (.9) S ( + + ) ( + + ) S ( + + ) ( + + ) S SH SH SH ( ) + + ( ) + + ( ) + + SH SH SH (.) ML S SH ( ) λ + S SH (.) ML

(.)(.) (.)(.) ( λ ) ( λ ) + + + + + t + + + + (.) + +,,, (.),, ( λ ) ( λ ) + + + + + t + + + + + + (.) + + + ( + + ) Γ Γ Γ,,,, (.)(.)(.) S + + + t + + S + + S + + S + + + ( + + ) Γ Γ SH + + + t + + SH + + SH + + SH + + + ( + + ) Γ Γ (.)(.). 8 (,, ).,,,,, (.) (.)

8 o l l l. 8,, Χ, W, W, W (.) a, b, c, W, W, W (.) [ 8 ], (.) Χ W W W { 8} { } 8 { } 8 { 8} { 8} { 8} W W W,,, W W W W W W W W W (.8) (.9)

{ } 8 { 8} { 8} { } W W W 8 { 8} { } 8,, 8 (.) l l l 8 + l l l 8 + l + l l 8 l + l l 8 ( )( )( ) ( )( )( ) ( )( )( ) ( )( )( ) l 8 l + l + l 8 l + l + l 8 + l + l 8 l 8 + l + l ( )( )( ) ( )( )( ) ( )( )( ) ( )( )( ) (.),,,, (.) (.),(.)(.) W t W + W + W + ( λ ) ( λ ) ( λ ) ( λ ) + W + + W + W + W + W + W + W + W + W + W W Γ+ W Γ+ Γ Γ W Γ Γ (.) (.),(.)(.),(.) (.) W, W, W, W M + K F (.)

8, m m M m m m (.) ( ) ( ) ( ) ( ) λ λ λ λ + + + + m k k k k m K k m k m k k k (.) F Γ Γ Γ Γ Γ Γ (.) (.),(.) + M K F (.8) + M K F (.9) S S S S m k k k k m K k m k m (.) F Γ Γ Γ Γ Γ Γ (.) SH SH SH SH m k k k k m K k m k m (.)

F Γ Γ Γ Γ Γ Γ Χ Χ (.) (.)(.8)(.9) M + K F (.) M + K F (.) M + K F (.) ML ML (.8)(.)(.8) (.8) ( λ ) ( λ ) + + + t + ( λ + ) + ( λ + ) + ( λ ) ( λ ) + + + (.) ( + + ) ( + + ) + + + + ( + + ) + +,,,,, (.),, ( λ ) ( λ ) + + + + ( λ + ) + ( λ + ) + ( λ ) ( λ ) + + + + + + + + + + + + ( + + ) ( + + ) Γ Γ (.) (.)(.)(.) 9

S S + + + + S + + + S + + S + + S + + + ( + + ) ( + + ) Γ Γ SH SH + + + + SH + + + SH + + SH + + SH + + + ( + + ) ( + + ) Γ Γ (.) (.) (.)(.).,,,,,, (.),, Χ W, W, W, [ 8] (.) Χ W W W,, Χ Χ, W W, W W, W W Χ W W W (.) (.) { } 8 { 8} { } 8 (.8) (.)(.)(.)

W W W W W W W W W + W + W ( ) ( λ + + λ + ) ( ) ( λ + + λ + ) ( ) ( ) λ + + λ + + W + W + W + W + W + W + W W Γ+ Γ W Γ Γ+ W Γ Γ + + (.9) W, W, W, W, W, W ML ML ML ML ML (.9) M + K F (.) M ML m m m m m m (.) K ML ( λ ) m ( λ ) k ( λ + ) m ( λ + ) k ( λ + ) ( λ + ) + + m k k k k m k k k m k k k m (.)

ML F ML ML (.) (.),(.) ML ML ML ML ML + M K F (.) ML ML ML ML ML + M K F (.) S S S S ML S S m k m k m k k k k m K k k k m k k k m (.) ML F ML ML (.) SH SH SH SH ML SH SH m k m k m k k k k m K k k k m k k k m (.8)

F ML ML Χ Χ Χ ML Χ Χ Χ (.9) (.) I I I M+ + K I I I M,, K,, (.) (.) 8. u U, v, W (.) U W { u u u u u u u u8} { v v v v v v v v } 8 { } 8 (.)(.) (.)(.)(.) Χ U W U m k k k m k k k W m k Χ m, k, k, k k, k (.) (.) (.) (.) (.)(.)

ϕ (.) m k k k U m k k k,, ϕ m k W Χ ML ML M,, K ϕϕ ϕϕ ϕϕ (.8) M M,, K K (.9) ϕϕ ϕϕ ϕϕ M,, K ML M M,, K K ϕ ϕ ϕ M M,, K K ϕ ϕ ϕ (.) (.),(.8),(.9)(.),(.),(.)ML M + K F (.) M + K F (.) M + K F (.) O O O O O M + K F (.) O { Χ } O ML O { Χ (.) Χ Χ Χ (.) } (.) O O O O + (.) Q O O O O O O M K, Q M F (.) (.)(.)

a () t () t I I I I + (.) Q I I I I, () t, I I I Q I M K M a () t (.)(.8)(.9) + Q() t (.9) uvuv,,,,, ML,,,,,,,,,,,,,,,,,,,, ML 8,,,,,,,,,,,,,,,,, ML (.9) Q, (.8) I H R, Q a () t, (.) H R I I I I M K, H M ML (.9)Rug Kutta (.9) Rug Kutta + + ( ) + + + (.) ( ) t + Q t + + Q + t + + Q + t ( ( + ) + Q+ ) ( t), + ( t + t) t Q Q Q Q + Q Q + ( t ), t, ( t t) + + (.) t t (.)(.)

t + + t + ( L + L + L) + + ( L + L + L + L) (.) + + ( S + S + S + S) L t + H + R + a t t L t H + L + + + R + L + a R + t t t t L t H + L + + + L + R + L + L + a R R + t L t H( + L) + + t + L t t t + R + t LR + + L+ RLR + LR+ HL+ a+ (.) L + H + R R ( ) L t + RL + HL R R (.) S tl R S tl + + HL + RS ( t ) R S tlr + t + L+ HL + RS S tlr + t + L+ HL + RS (.)