Microsoft Word - ‚²‰ÆŸ_Ł¶−®’¬.doc

Size: px
Start display at page:

Download "Microsoft Word - ‚²‰ÆŸ_Ł¶−®’¬.doc"

Transcription

1

2

3 3 1

4 4

5 5 1

6 6

7 7..5mm

8 8.1. C.1 ( ).5 ( ) ( ) 3. ( ) TEACDR-F1 khz 648frame/sec

9 9 Hot Film Probe Anemometer Stabilizer Digital Recorder Video Compressor Camera Flow Meter

10 1 Hot Film Probe Acrylic Orifice x d z L Porous Media Air Copper Tube

11 11

12 1 3

13 13 1 x(t) t i = kdt( k = 1,,3,

14 14 x(t) Takens (t) x( ti ), x( ti + τ ),, x( ti + ( m 1)) m n +1 S Q 3

15 C( r) lim N N( N 1) N i, j 1 i j = θ ( r x x i j ) θ θ ( z) = 1( z ) C( r) ν r

16 16 4

17 17.mm.5mm Hz 1.5mm.mm (cc/min) (cc/min) (cc/min) (cc/min)

18 18 V (V) 1 No.1 6 Power (db) 1 V (V) V (V) V (V) V (V) V (V) Time (sec) No.3 No.6 3 No.7 36 No.8 37 No.9 38 Power (db) Power (db) Power (db) Power (db) Power (db) Frequency (Hz)

19 19 V (V) 3 1 No.1 5 Power (db) 1 V (V) V (V) V (V) V (V) V (V) Time (sec) No No.1 75 No No No.15 1 Power (db) Power (db) Power (db) Power (db) Power (db) Frequency (Hz)

20 V (V) V (V) V (V) No..5 1 Time (sec) No No.17 1 Power (db) Power (db) Power (db) Frequency (Hz)

21 1 V (V) V (V) V (V) V (V) V (V) V (V) Time (sec) No. 15 No.3 3 No.4 3 No No.6 35 No Power (db) Power (db) Power (db) Power (db) Power (db) Power (db) Frequency (Hz) 4.1..

22 V (V) V (V) V (V) V (V) V (V) V (V).5 1 1/f Time (sec) No.8 34 No.9 35 No No No.3 No.33 4 Power (db) Power (db) Power (db) Power (db) Power (db) Power (db) f Frequency (Hz) 4.1..

23 3 V (V) V (V) V (V) V (V) V (V) V (V) 4 1/f /f /f No Time (sec) No No No No.38 1 No Power (db) Power (db) Power (db) Power (db) Power (db) Power (db) f L f L f L Frequency (Hz) 4...

24 mm

25 mm

26 mm

27 7 4. 5cc/min

28 1 8 V 1 V 6cc/min time(s) 1 1 5cc/min time(s) 1 1 V 1 3cc/min time(s) 1 1 V 1 38cc/min time(s) mm

29 9 1 V 1 68cc/min time(s) V1 1 V cc/min time(s) cc/min time(s) 4..1

30 3 V1 1 11cc/min time(s) V 135cc/min time(s) V 17cc/min time(s) 4..1

31 V cc/min time(s) V cc/min time(s) V cc/min time(s) 4..

32 3 V V 1 35cc/min time(s) cc/min time(s) V cc/min time(s) 4.4.

33 33 3.5mm.mm

34 mm 34

35

36

37 mm.mm cc/min cc/min 6cc/min 1cc/min 5cc/min 3cc/min 38cc/min 68cc/min 75cc/min 1cc/min 11cc/min 5cc/min cc/min 3cc/min 315c/min 35c/min 335cc/min 35cc/min 5cc/min 8cc/min mm 1cc/min 1cc/min

38 4.3.. cc/min 38

39 cc/min 39

40 4.3..mm (31cc/min) 4

41 4.3.mm.mm (3cc/min) 41

42 4.3..mm 4cc/min 4

43 mm (6cc/min) 43

44 mm (5cc/min) 44

45 mm (3cc/min) 45

46 mm (38cc/min) 46

47 mm (68cc/min) 47

48 mm (75cc/min) 48

49 mm (88cc/min) 49

50 mm (1cc/min) 5

51 mm (11cc/min) 51

52 mm (135cc/min) 5

53 mm (17cc/min) 53

54 54.mm (cc/min) 4.4.3

55 55 spectrogram

56 4.5 spectrogram 56

57 4.5 spectrogram 57

58 4.5 spectrogram 58

59 4.5 spectrogram 59

60 6 5..5

61 (cc/min) ~ no.3 1/ no.3 1/,1/ (b)4 3,5

62 no.6 1/ (b) cc/min 4.1. no.36

63 63 spectrogram spectrogram Ravleiah-Benard Convection T T i 1/

64 64.. Ravleiah-Benard Convection. Ravleiah-Benard Convection Ravleiah-Benard Convection Power (db) 1 E 3cc/min 4 Power (db) 1 G 36cc/min Power (db) 1 F 3cc/min Power (db) 1 H 5cc/min ABCD Ravleiah-Benard EFGH spectrogram 4 8 A, B 4 C 8 D E,F spectrogram Hz Hz

65 cc/min (cc/min) 5.1

66 (cc/min) A B C D E F 1 1~ ~ mm A 4.8(a) f 3

67 cc/min 4 5cc/min 68cc/min cc/min 1.mm

68 68.mm cc/min 5cc/min cc/min

69 69.5mm.mm πdρ cosθ θ 5.3.5mm. cosθ.mm.mm.5mm.mm F F σ b = πd cosθ = ( ρ ρ ) gv ( t) i g B F F σ σ = F b F b

70 7 6

71 71

72 7

73 73 1 Harry L.SWINNG, OBSERVATIONS OF ORDER AND CHAOS IN NONLINEAR SYSTEMS A. LIBCHABER, S. FAUVE and C. LAROCHE, TWO-PARAMETER STUDY OF THE ROUTES TO CHAOS 3 F.Takens, Dynamical System and turbulence, Lecture Note in Mathematics898,ed

74 74 4

75

155 13 2 15 B97176 1 1.1. 4 1.2. 5 1.2.1. 1.2.2. 1.3. 7 2. 2.1. 9 2.2. 1 2.3. 13 2.4. 16 3. 3.1. 3.1.1. 18 3.1.2. 26 3.1.3. 33 3.2. 3.2.1. 34 3.2.2. 5 4. 4.1. 52 4.2. 53 54 55 2 1 1.1 1.2 1.3 3 4 Fig.

More information

QMI_09.dvi

QMI_09.dvi 25 3 19 Erwin Schrödinger 1925 3.1 3.1.1 3.1.2 σ τ 2 2 ux, t) = ux, t) 3.1) 2 x2 ux, t) σ τ 2 u/ 2 m p E E = p2 3.2) E ν ω E = hν = hω. 3.3) k p k = p h. 3.4) 26 3 hω = E = p2 = h2 k 2 ψkx ωt) ψ 3.5) h

More information

QMI_10.dvi

QMI_10.dvi 25 3 19 Erwin Schrödinger 1925 3.1 3.1.1 σ τ x u u x t ux, t) u 3.1 t x P ux, t) Q θ P Q Δx x + Δx Q P ux + Δx, t) Q θ P u+δu x u x σ τ P x) Q x+δx) P Q x 3.1: θ P θ Q P Q equation of motion P τ Q τ σδx

More information

卒業論文

卒業論文 1 2 3 A 4 6 ( ) (Bubble Flow) (Slug Flow) Churn Flow (Annular Flow) 7 Bubble Flow Slug Flow Churn Flow Annular Flow Fig.1.2.1 8 1961 Griffith Wallis..7 1 2.34 198 Taitel Dukler 1983 Fig.1.3.1. Taitel-Dukler

More information

重力方向に基づくコントローラの向き決定方法

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

More information

66 σ σ (8.1) σ = 0 0 σd = 0 (8.2) (8.2) (8.1) E ρ d = 0... d = 0 (8.3) d 1 NN K K 8.1 d σd σd M = σd = E 2 d (8.4) ρ 2 d = I M = EI ρ 1 ρ = M EI ρ EI

66 σ σ (8.1) σ = 0 0 σd = 0 (8.2) (8.2) (8.1) E ρ d = 0... d = 0 (8.3) d 1 NN K K 8.1 d σd σd M = σd = E 2 d (8.4) ρ 2 d = I M = EI ρ 1 ρ = M EI ρ EI 65 8. K 8 8 7 8 K 6 7 8 K 6 M Q σ (6.4) M O ρ dθ D N d N 1 P Q B C (1 + ε)d M N N h 2 h 1 ( ) B (+) M 8.1: σ = E ρ (E, 1/ρ ) (8.1) 66 σ σ (8.1) σ = 0 0 σd = 0 (8.2) (8.2) (8.1) E ρ d = 0... d = 0 (8.3)

More information

charpter0.PDF

charpter0.PDF Kutateladze Zuber C 0 C 1 r eq q CHF A v /A w A v /A w q CHF [1] [2] q CHF A v /A w [3] [4] A v : A w : A : g : H fg : Q : q : q CHF : T : T 1 : T 2 : T 3 : c 100 T 4 : c 100 T b : T sat : T w : t : V

More information

修士論文

修士論文 SAW 14 2 M3622 i 1 1 1-1 1 1-2 2 1-3 2 2 3 2-1 3 2-2 5 2-3 7 2-3-1 7 2-3-2 2-3-3 SAW 12 3 13 3-1 13 3-2 14 4 SAW 19 4-1 19 4-2 21 4-2-1 21 4-2-2 22 4-3 24 4-4 35 5 SAW 36 5-1 Wedge 36 5-1-1 SAW 36 5-1-2

More information

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 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

More information

橡博論表紙.PDF

橡博論表紙.PDF Study on Retaining Wall Design For Circular Deep Shaft Undergoing Lateral Pressure During Construction 2003 3 Study on Retaining Wall Design For Circular Deep Shaft Undergoing Lateral Pressure During Construction

More information

A a b c d a b a b c d e a b c g h f i d e f g h i M a b c a b c d M a M b c d a b a b a M b a b a b c a b a M a a M a c d b a b c d a b a b a M c d a b e c M f a b c d e f E F d e a f a M bm c d a M b

More information

) 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)

) 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) 4 4 ) 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) a b a b = 6i j 4 b c b c 9) a b = 4 a b) c = 7

More information

表題.PDF

表題.PDF 1P 94P 11 2 5 70196 Ra : : g : C : : Pr : : Nu : : h : B : ( ) DC (Bau [1]) : u = u(t) (1) 1 : u& = Raρ T cos( θ) dθ Pu (2) π 2 T T : T & = u + β + [ T (, t) T ] 2 W θ θ θ (3) - T W 0 ( t) + Wn ( t)sin(

More information

Sample function Re random process Flutter, Galloping, etc. ensemble (mean value) N 1 µ = lim xk( t1) N k = 1 N autocorrelation function N 1 R( t1, t1

Sample function Re random process Flutter, Galloping, etc. ensemble (mean value) N 1 µ = lim xk( t1) N k = 1 N autocorrelation function N 1 R( t1, t1 Sample function Re random process Flutter, Galloping, etc. ensemble (mean value) µ = lim xk( k = autocorrelation function R( t, t + τ) = lim ( ) ( + τ) xk t xk t k = V p o o R p o, o V S M R realization

More information

画像工学特論

画像工学特論 .? (x i, y i )? (x(t), y(t))? (x(t)) (X(ω)) Wiener-Khintchine 35/97 . : x(t) = X(ω)e jωt dω () π X(ω) = x(t)e jωt dt () X(ω) S(ω) = lim (3) ω S(ω)dω X(ω) : F of x : [X] [ = ] [x t] Power spectral density

More information

[Ver. 0.2] 1 2 3 4 5 6 7 1 1.1 1.2 1.3 1.4 1.5 1 1.1 1 1.2 1. (elasticity) 2. (plasticity) 3. (strength) 4. 5. (toughness) 6. 1 1.2 1. (elasticity) } 1 1.2 2. (plasticity), 1 1.2 3. (strength) a < b F

More information

知能科学:ニューラルネットワーク

知能科学:ニューラルネットワーク 2 3 4 (Neural Network) (Deep Learning) (Deep Learning) ( x x = ax + b x x x ? x x x w σ b = σ(wx + b) x w b w b .2.8.6 σ(x) = + e x.4.2 -.2 - -5 5 x w x2 w2 σ x3 w3 b = σ(w x + w 2 x 2 + w 3 x 3 + b) x,

More information

知能科学:ニューラルネットワーク

知能科学:ニューラルネットワーク 2 3 4 (Neural Network) (Deep Learning) (Deep Learning) ( x x = ax + b x x x ? x x x w σ b = σ(wx + b) x w b w b .2.8.6 σ(x) = + e x.4.2 -.2 - -5 5 x w x2 w2 σ x3 w3 b = σ(w x + w 2 x 2 + w 3 x 3 + b) x,

More information

Gauss Gauss ɛ 0 E ds = Q (1) xy σ (x, y, z) (2) a ρ(x, y, z) = x 2 + y 2 (r, θ, φ) (1) xy A Gauss ɛ 0 E ds = ɛ 0 EA Q = ρa ɛ 0 EA = ρea E = (ρ/ɛ 0 )e

Gauss Gauss ɛ 0 E ds = Q (1) xy σ (x, y, z) (2) a ρ(x, y, z) = x 2 + y 2 (r, θ, φ) (1) xy A Gauss ɛ 0 E ds = ɛ 0 EA Q = ρa ɛ 0 EA = ρea E = (ρ/ɛ 0 )e 7 -a 7 -a February 4, 2007 1. 2. 3. 4. 1. 2. 3. 1 Gauss Gauss ɛ 0 E ds = Q (1) xy σ (x, y, z) (2) a ρ(x, y, z) = x 2 + y 2 (r, θ, φ) (1) xy A Gauss ɛ 0 E ds = ɛ 0 EA Q = ρa ɛ 0 EA = ρea E = (ρ/ɛ 0 )e z

More information

28 27 8 4 10 17 2 27 8 7 14 00 1 27 8 14 15 00 2 27 8 21 15 00 1 4 5 2 6 1 27 ABCD 6 2 2 5 5 8% 108 100 49 2 13 140 22 12 7 153-8501 19 23 03-5478-1225 27 8 4 (1) (2) (3) (1) (2) (3) (4) (5) (6) (7) (8)

More information

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.   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)

More information

untitled

untitled 9118 154 B-1 B-3 B- 5cm 3cm 5cm 3m18m5.4m.5m.66m1.3m 1.13m 1.134m 1.35m.665m 5 , 4 13 7 56 M 1586.1.18 7.77.9 599.5.8 7 1596.9.5 7.57.75 684.11.9 8.5 165..3 7.9 87.8.11 6.57. 166.6.16 7.57.6 856 6.6.5

More information

LD

LD 989935 1 1 3 3 4 4 LD 6 7 10 1 3 13 13 16 0 4 5 30 31 33 33 35 35 37 38 5 40 FFT 40 40 4 4 4 44 47 48 49 51 51 5 53 54 55 56 Abstract [1] HDD (LaserDopplerVibrometer; LDV) [] HDD IC 1 4 LDV LDV He-Ne Acousto-optic

More information

TOP URL 1

TOP URL   1 TOP URL http://amonphys.web.fc.com/ 3.............................. 3.............................. 4.3 4................... 5.4........................ 6.5........................ 8.6...........................7

More information

Note.tex 2008/09/19( )

Note.tex 2008/09/19( ) 1 20 9 19 2 1 5 1.1........................ 5 1.2............................. 8 2 9 2.1............................. 9 2.2.............................. 10 3 13 3.1.............................. 13 3.2..................................

More information

impulse_response.dvi

impulse_response.dvi 5 Time Time Level Level Frequency Frequency Fig. 5.1: [1] 2004. [2] P. A. Nelson, S. J. Elliott, Active Noise Control, Academic Press, 1992. [3] M. R. Schroeder, Integrated-impulse method measuring sound

More information

keisoku01.dvi

keisoku01.dvi 2.,, Mon, 2006, 401, SAGA, JAPAN Dept. of Mechanical Engineering, Saga Univ., JAPAN 4 Mon, 2006, 401, SAGA, JAPAN Dept. of Mechanical Engineering, Saga Univ., JAPAN 5 Mon, 2006, 401, SAGA, JAPAN Dept.

More information

ver.1 / c /(13)

ver.1 / c /(13) 1 -- 11 1 c 2010 1/(13) 1 -- 11 -- 1 1--1 1--1--1 2009 3 t R x R n 1 ẋ = f(t, x) f = ( f 1,, f n ) f x(t) = ϕ(x 0, t) x(0) = x 0 n f f t 1--1--2 2009 3 q = (q 1,..., q m ), p = (p 1,..., p m ) x = (q,

More information

[1] 1.1 x(t) t x(t + n ) = x(t) (n = 1,, 3, ) { x(t) : : 1 [ /, /] 1 x(t) = a + a 1 cos πt + a cos 4πt + + a n cos nπt + + b 1 sin πt + b sin 4πt = a

[1] 1.1 x(t) t x(t + n ) = x(t) (n = 1,, 3, ) { x(t) : : 1 [ /, /] 1 x(t) = a + a 1 cos πt + a cos 4πt + + a n cos nπt + + b 1 sin πt + b sin 4πt = a 13/7/1 II ( / A: ) (1) 1 [] (, ) ( ) ( ) ( ) etc. etc. 1. 1 [1] 1.1 x(t) t x(t + n ) = x(t) (n = 1,, 3, ) { x(t) : : 1 [ /, /] 1 x(t) = a + a 1 cos πt + a cos 4πt + + a n cos nπt + + b 1 sin πt + b sin

More information

LLG-R8.Nisus.pdf

LLG-R8.Nisus.pdf d M d t = γ M H + α M d M d t M γ [ 1/ ( Oe sec) ] α γ γ = gµ B h g g µ B h / π γ g = γ = 1.76 10 [ 7 1/ ( Oe sec) ] α α = λ γ λ λ λ α γ α α H α = γ H ω ω H α α H K K H K / M 1 1 > 0 α 1 M > 0 γ α γ =

More information

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

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 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 2 ), ϕ(t) = B 1 cos(ω 1 t + α 1 ) + B 2 cos(ω 2 t

More information

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

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

More information

untitled

untitled Ph.D 66851 ohnishi@geotech.kuciv.kyotou.ac.jp 66851 66851 573166 111 573166 111 573166 111 1) 2) 3) 4) 15 CL KP126.85 KP126.6 KP125.91 KP125.735 CL 1. 2. 5.m 5.m 5.m 5.m 5.m 5.m 5.m AS 13 2) 2) 13 2) 2)

More information

lim lim lim lim 0 0 d lim 5. d 0 d d d d d d 0 0 lim lim 0 d

lim lim lim lim 0 0 d lim 5. d 0 d d d d d d 0 0 lim lim 0 d lim 5. 0 A B 5-5- A B lim 0 A B A 5. 5- 0 5-5- 0 0 lim lim 0 0 0 lim lim 0 0 d lim 5. d 0 d d d d d d 0 0 lim lim 0 d 0 0 5- 5-3 0 5-3 5-3b 5-3c lim lim d 0 0 5-3b 5-3c lim lim lim d 0 0 0 3 3 3 3 3 3

More information

Gmech08.dvi

Gmech08.dvi 63 6 6.1 6.1.1 v = v 0 =v 0x,v 0y, 0) t =0 x 0,y 0, 0) t x x 0 + v 0x t v x v 0x = y = y 0 + v 0y t, v = v y = v 0y 6.1) z 0 0 v z yv z zv y zv x xv z xv y yv x = 0 0 x 0 v 0y y 0 v 0x 6.) 6.) 6.1) 6.)

More information

筑波大学大学院博士課程

筑波大学大学院博士課程 3. 3. 4 6. 6. 7.3 8 3 9 3. 9 3. 3 3.3 3 3.4 6 4 7 4. 7 4. 7 4.3 4.4 5 5 5. 5 5. 5 5.3 3 6 4 6. 4 6-43 6. 44 6.3 46 6.4 47 7 48 49 5 5 . [] 3 [] [3-] 3 . [-] [5] [3] 5kHz [8] 3.6Hz 3 4 5 6 5 7 4 Fig. -

More information

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

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 2.5 (Gauss) 2.5.1 (flux) v(r)( ) n v n v n (1) v n = v n = v, n. n n v v I(2012), ec. 2. 5 p. 1/30 i (2) lim v(r i ) i = v(r) d. i 0 i (flux) I(2012), ec. 2. 5 p. 2/30 2.5.2 ( ) ( ) q 1 r 2 E 2 q r 1 E

More information

( ) 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 ( ) 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 ( - )

More information

PDF

PDF 1 1 1 1-1 1 1-9 1-3 1-1 13-17 -3 6-4 6 3 3-1 35 3-37 3-3 38 4 4-1 39 4- Fe C TEM 41 4-3 C TEM 44 4-4 Fe TEM 46 4-5 5 4-6 5 5 51 6 5 1 1-1 1991 1,1 multiwall nanotube 1993 singlewall nanotube ( 1,) sp 7.4eV

More information

untitled

untitled - k k k = y. k = ky. y du dx = ε ux ( ) ux ( ) = ax+ b x u() = ; u( ) = AE u() = b= u () = a= ; a= d x du ε x = = = dx dx N = σ da = E ε da = EA ε A x A x x - σ x σ x = Eε x N = EAε x = EA = N = EA k =

More information

1 2 3 4 5 1 1 136 2 137 2 1 1 138 2 1 2 139 140 141 142 3 143 3 144 145 4 1 2 146 3 4 147 5 1 2 3 148 1 2 149 3 5 1 2 150 3 151 1 152 2 153 6 1 2 154 3 155 4 1 156 2 3 4 5 157 7 1 2 3 4 158 5 159 6 8 1

More information

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

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 Mindlin -Rissnr δ εσd δ ubd+ δ utd Γ Γ εσ (.) ε σ u b t σ ε. u { σ σ σ z τ τ z τz} { ε ε εz γ γ z γ z} { u u uz} { b b bz} b t { t t tz}. ε u u u u z u u u z u u z ε + + + (.) z z z (.) u u NU (.) N U

More information

R¤Çʬ¤«¤ëÎÏ³Ø·Ï - ¡Áʬ´ô¤ÎÍͻҤò²Ä»ë²½¤·¤Æ¤ß¤ë¡Á

R¤Çʬ¤«¤ëÎÏ³Ø·Ï - ¡Áʬ´ô¤ÎÍͻҤò²Ä»ë²½¤·¤Æ¤ß¤ë¡Á .... R 2009 3 1 ( ) R 2009 3 1 1 / 23 : ( )!, @tkf, id:tkf41, (id:artk ) : 4 1 : http://arataka.wordpress.com : Python, C/C++, PHP, Javascript R : / ( ) R 2009 3 1 2 / 23 R? R! ( ) R 2009 3 1 3 / 23 =

More information

1 158 14 2 8 00225 2 1.... 3 1.1... 4 1.2... 5 2.... 6 2.1...7 2.2... 8 3.... 9 3.1... 10 3.2... 16 4.... 17 4.1... 18 4.2... 20 4.3... 22 5.... 23 5.1... 24 5.2... 28 5.3... 34 5.4... 37 5.5... 39 6....

More information

<4D F736F F D B B83578B6594BB2D834A836F815B82D082C88C60202E646F63>

<4D F736F F D B B83578B6594BB2D834A836F815B82D082C88C60202E646F63> 通信方式第 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/072662 このサンプルページの内容は, 第 2 版発行当時のものです. i 2 2 2 2012 5 ii,.,,,,,,.,.,,,,,.,,.,,..,,,,.,,.,.,,.,,.. 1990 5 iii 1 1

More information

23 1 Section ( ) ( ) ( 46 ) , 238( 235,238 U) 232( 232 Th) 40( 40 K, % ) (Rn) (Ra). 7( 7 Be) 14( 14 C) 22( 22 Na) (1 ) (2 ) 1 µ 2 4

23 1 Section ( ) ( ) ( 46 ) , 238( 235,238 U) 232( 232 Th) 40( 40 K, % ) (Rn) (Ra). 7( 7 Be) 14( 14 C) 22( 22 Na) (1 ) (2 ) 1 µ 2 4 23 1 Section 1.1 1 ( ) ( ) ( 46 ) 2 3 235, 238( 235,238 U) 232( 232 Th) 40( 40 K, 0.0118% ) (Rn) (Ra). 7( 7 Be) 14( 14 C) 22( 22 Na) (1 ) (2 ) 1 µ 2 4 2 ( )2 4( 4 He) 12 3 16 12 56( 56 Fe) 4 56( 56 Ni)

More information

ρ ( ) sgv + ρwgv γ sv + γ wv γ s + γ w e e γ ρ g s s γ s ( ) + γ w( ) Vs + V Vs + V + e + e + e γ γ sa γ e e n( ) + e γ γ s ( n) + γ wn γ s, γ w γ γ +

ρ ( ) sgv + ρwgv γ sv + γ wv γ s + γ w e e γ ρ g s s γ s ( ) + γ w( ) Vs + V Vs + V + e + e + e γ γ sa γ e e n( ) + e γ γ s ( n) + γ wn γ s, γ w γ γ + σ P σ () n σ () n σ P ) σ ( σ P σ σ σ + u V e m w ρ w gv V V s m s ρ s gv s ρ ( ) sgv + ρwgv γ sv + γ wv γ s + γ w e e γ ρ g s s γ s ( ) + γ w( ) Vs + V Vs + V + e + e + e γ γ sa γ e e n( ) + e γ γ s (

More information

meiji_resume_1.PDF

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

More information

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.   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

More information

( ) sin 1 x, cos 1 x, tan 1 x sin x, cos x, tan x, arcsin x, arccos x, arctan x. π 2 sin 1 x π 2, 0 cos 1 x π, π 2 < tan 1 x < π 2 1 (1) (

( ) sin 1 x, cos 1 x, tan 1 x sin x, cos x, tan x, arcsin x, arccos x, arctan x. π 2 sin 1 x π 2, 0 cos 1 x π, π 2 < tan 1 x < π 2 1 (1) ( 6 20 ( ) sin, cos, tan sin, cos, tan, arcsin, arccos, arctan. π 2 sin π 2, 0 cos π, π 2 < tan < π 2 () ( 2 2 lim 2 ( 2 ) ) 2 = 3 sin (2) lim 5 0 = 2 2 0 0 2 2 3 3 4 5 5 2 5 6 3 5 7 4 5 8 4 9 3 4 a 3 b

More information

t θ, τ, α, β S(, 0 P sin(θ P θ S x cos(θ SP = θ P (cos(θ, sin(θ sin(θ P t tan(θ θ 0 cos(θ tan(θ = sin(θ cos(θ ( 0t tan(θ

t θ, τ, α, β S(, 0 P sin(θ P θ S x cos(θ SP = θ P (cos(θ, sin(θ sin(θ P t tan(θ θ 0 cos(θ tan(θ = sin(θ cos(θ ( 0t tan(θ 4 5 ( 5 3 9 4 0 5 ( 4 6 7 7 ( 0 8 3 9 ( 8 t θ, τ, α, β S(, 0 P sin(θ P θ S x cos(θ SP = θ P (cos(θ, sin(θ sin(θ P t tan(θ θ 0 cos(θ tan(θ = sin(θ cos(θ ( 0t tan(θ S θ > 0 θ < 0 ( P S(, 0 θ > 0 ( 60 θ

More information

第18回海岸シンポジウム報告書

第18回海岸シンポジウム報告書 2011.6.25 2011.6.26 L1 2011.6.27 L2 2011.7.6 2011.12.7 2011.10-12 2011.9-10 2012.3.9 23 2012.4, 2013.8.30 2012.6.13 2013.9 2011.7-2011.12-2012.4 2011.12.27 2013.9 1m30 1 2 3 4 5 6 m 5.0m 2.0m -5.0m 1.0m

More information

1 911 34/ 22 1012 2/ 20 69 3/ 22 69 1/ 22 69 3/ 22 69 1/ 22 68 3/ 22 68 1/ 3 8 D 0.0900.129mm 0.1300.179mm 0.1800.199mm 0.1000.139mm 0.1400.409mm 0.4101.199mm 0.0900.139mm 0.1400.269mm 0.2700.289mm

More information

液晶ディスプレイ取説TD-E432/TD-E502/TD-E552/TD-E652/TD-E432D/TD-E502D

液晶ディスプレイ取説TD-E432/TD-E502/TD-E552/TD-E652/TD-E432D/TD-E502D 1 2 3 4 5 6 7 1 2 3 4 5 6 7 2 2 2 1 1 2 9 10 11 12 13 14 15 16 17 1 8 2 3 4 5 6 7 1 2 3 4 5 6 7 8 9 10 9 11 12 13 13 14 15 16 17 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 1 2 3 4 5 6 7 8 9 11 12

More information

1 2 http://www.japan-shop.jp/ 3 4 http://www.japan-shop.jp/ 5 6 http://www.japan-shop.jp/ 7 2,930mm 2,700 mm 2,950mm 2,930mm 2,950mm 2,700mm 2,930mm 2,950mm 2,700mm 8 http://www.japan-shop.jp/ 9 10 http://www.japan-shop.jp/

More information

000-.\..

000-.\.. 1 1 1 2 3 4 5 6 7 8 9 e e 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 10mm 150mm 60mm 25mm 40mm 30mm 25 26 27 1 28 29 30 31 32 e e e e e e 33 e 34 35 35 e e e e 36 37 38 38 e e 39 e 1 40 e 41 e 42 43

More information

1 1 36 223 42 14 92 4 3 2 1 4 3 4 3429 13536 5 6 7 8 9 2.4m/ (M) (M) (M) (M) (M) 6.67.3 6.57.2 6.97.6 7.27.8 8.4 5 6 5 6 5 5 74 1,239 0 30 21 ( ) 1,639 3,898 0 1,084 887 2 5 0 2 2 4 22 1 3 1 ( :) 426 1500

More information

1 C 2 C 3 C 4 C 1 C 2 C 3 C

1 C 2 C 3 C 4 C 1 C 2 C 3 C 1 e N >. C 40 41 2 >. C 3 >.. C 26 >.. C .mm 4 C 106 e A 107 1 C 2 C 3 C 4 C 1 C 2 C 3 C 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124

More information

(1519) () 1 ( ) () 1 ( ) - 1 - - 2 - (1531) (25) 5 25,000 (25) 5 30,000 25,000 174 3 323 174 3 323 (1532) () 2 () 2-3 - - 4 - (1533) () 1 (2267)204 () (1)(2) () 1 (2267)204 () (1)(2) (3) (3) 840,000 680,000

More information

平成24年財政投融資計画PDF出後8/016‐030

平成24年財政投融資計画PDF出後8/016‐030 24 23 28,707,866 2,317,737 26,390,129 29,289,794 2,899,665 24 23 19,084,525 21,036,598 1952,073 24 23 8,603,613 8,393,427 967,631 925,404 202,440 179,834 217,469 219,963 66,716 64,877 3,160,423 2,951,165

More information

[mm] [mm] [mm] 70 60 50 40 30 20 10 1H 0 18 19 20 21 22 23 24 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 1 2 3 4 5 6 7 8 9 10 11 12 60 50 40 30 20 10 0 18 19 20 21 22 23 24 1 2 3 4

More information

( ) 2002 1 1 1 1.1....................................... 1 1.1.1................................. 1 1.1.2................................. 1 1.1.3................... 3 1.1.4......................................

More information

Shunsuke Kobayashi 1 [6] [11] [7] u t = D 2 u 1 x 2 + f(u, v) + s L u(t, x)dx, L x (0.L), t > 0, Neumann 0 v t = D 2 v 2 + g(u, v), x (0, L), t > 0. x

Shunsuke Kobayashi 1 [6] [11] [7] u t = D 2 u 1 x 2 + f(u, v) + s L u(t, x)dx, L x (0.L), t > 0, Neumann 0 v t = D 2 v 2 + g(u, v), x (0, L), t > 0. x Shunsuke Kobayashi [6] [] [7] u t = D 2 u x 2 + fu, v + s L ut, xdx, L x 0.L, t > 0, Neumann 0 v t = D 2 v 2 + gu, v, x 0, L, t > 0. x2 u u v t, 0 = t, L = 0, x x. v t, 0 = t, L = 0.2 x x ut, x R vt, x

More information

2.4 DSOF 4 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 1 2 3 4 5 A B C A 1 2 3 4 5 6 7 8 1 2 3 4 5 1 2 3 1 2 3 1 2 3 4 5 6 7 1 2 3 4 5 6 7 LINK

More information

TOP URL 1

TOP URL   1 TOP URL http://amonphys.web.fc.com/ 1 19 3 19.1................... 3 19.............................. 4 19.3............................... 6 19.4.............................. 8 19.5.............................

More information

1 1 3 ABCD ABD AC BD E E BD 1 : 2 (1) AB = AD =, AB AD = (2) AE = AB + (3) A F AD AE 2 = AF = AB + AD AF AE = t AC = t AE AC FC = t = (4) ABD ABCD 1 1

1 1 3 ABCD ABD AC BD E E BD 1 : 2 (1) AB = AD =, AB AD = (2) AE = AB + (3) A F AD AE 2 = AF = AB + AD AF AE = t AC = t AE AC FC = t = (4) ABD ABCD 1 1 ABCD ABD AC BD E E BD : () AB = AD =, AB AD = () AE = AB + () A F AD AE = AF = AB + AD AF AE = t AC = t AE AC FC = t = (4) ABD ABCD AB + AD AB + 7 9 AD AB + AD AB + 9 7 4 9 AD () AB sin π = AB = ABD AD

More information

(time series) ( 225 ) / / p.2/66

(time series) ( 225 ) / / p.2/66 338 857 255 Tel : 48 858 3577, Fax : 48 858 3716 Email : tohru@ics.saitama-u.ac.jp URL : http://www.nls.ics.saitama-u.ac.jp/ tohru / / p.1/66 (time series) ( 225 ) / / p.2/66 / / p.3/66 ?? / / p.3/66 1.9.8.7.6???.5.4.3.2.1

More information

QMII_10.dvi

QMII_10.dvi 65 1 1.1 1.1.1 1.1 H H () = E (), (1.1) H ν () = E ν () ν (). (1.) () () = δ, (1.3) μ () ν () = δ(μ ν). (1.4) E E ν () E () H 1.1: H α(t) = c (t) () + dνc ν (t) ν (), (1.5) H () () + dν ν () ν () = 1 (1.6)

More information

all.dvi

all.dvi 72 9 Hooke,,,. Hooke. 9.1 Hooke 1 Hooke. 1, 1 Hooke. σ, ε, Young. σ ε (9.1), Young. τ γ G τ Gγ (9.2) X 1, X 2. Poisson, Poisson ν. ν ε 22 (9.) ε 11 F F X 2 X 1 9.1: Poisson 9.1. Hooke 7 Young Poisson G

More information

さくらの個別指導 ( さくら教育研究所 ) A 2 2 Q ABC 2 1 BC AB, AC AB, BC AC 1 B BC AB = QR PQ = 1 2 AC AB = PR 3 PQ = 2 BC AC = QR PR = 1

さくらの個別指導 ( さくら教育研究所 ) A 2 2 Q ABC 2 1 BC AB, AC AB, BC AC 1 B BC AB = QR PQ = 1 2 AC AB = PR 3 PQ = 2 BC AC = QR PR = 1 ... 0 60 Q,, = QR PQ = = PR PQ = = QR PR = P 0 0 R 5 6 θ r xy r y y r, x r, y x θ x θ θ (sine) (cosine) (tangent) sin θ, cos θ, tan θ. θ sin θ = = 5 cos θ = = 4 5 tan θ = = 4 θ 5 4 sin θ = y r cos θ =

More information

『共形場理論』

『共形場理論』 T (z) SL(2, C) T (z) SU(2) S 1 /Z 2 SU(2) (ŜU(2) k ŜU(2) 1)/ŜU(2) k+1 ŜU(2)/Û(1) G H N =1 N =1 N =1 N =1 N =2 N =2 N =2 N =2 ĉ>1 N =2 N =2 N =4 N =4 1 2 2 z=x 1 +ix 2 z f(z) f(z) 1 1 4 4 N =4 1 = = 1.3

More information

tomocci ,. :,,,, Lie,,,, Einstein, Newton. 1 M n C. s, M p. M f, p d ds f = dxµ p ds µ f p, X p = X µ µ p = dxµ ds µ p. µ, X µ.,. p,. T M p.

tomocci ,. :,,,, Lie,,,, Einstein, Newton. 1 M n C. s, M p. M f, p d ds f = dxµ p ds µ f p, X p = X µ µ p = dxµ ds µ p. µ, X µ.,. p,. T M p. tomocci 18 7 5...,. :,,,, Lie,,,, Einstein, Newton. 1 M n C. s, M p. M f, p d ds f = dxµ p ds µ f p, X p = X µ µ p = dxµ ds µ p. µ, X µ.,. p,. T M p. M F (M), X(F (M)).. T M p e i = e µ i µ. a a = a i

More information

スライド タイトルなし

スライド タイトルなし (LNA) (LNA) (PA) ASK FSK PSK BER Bit Error Rate/ratio QPSK GMSK QAM OFDM ASK FSK PSK ASK(Amplitude-shift keying) e( t) = S( t)cos( ω t + θ ) c AM S(t) [+1,0] [+1/2, 1/2] 1 1 2 S(t) 0 1 2 e(t) C O B A E

More information