. ż ż 57 a v i ż ż v o b a ż v i ż v i ż v o ż v o a b 57. v i ż ż v o v o = Ġ v i (86) = ż ż + ż v i (87) v o v i Ġ = ż ż + ż (88) v i v o?? Ġ 6
|
|
- かげたつ おおかわち
- 5 years ago
- Views:
Transcription
1 D:.BUN B C ω s Bode Diagram db C ω s L ω s Bode Diagram L ω s Bode Diagram
2 . ż ż 57 a v i ż ż v o b a ż v i ż v i ż v o ż v o a b 57. v i ż ż v o v o = Ġ v i (86) = ż ż + ż v i (87) v o v i Ġ = ż ż + ż (88) v i v o?? Ġ 6
3 . C 58 C v i C v o 58. C Ġ ż = ż = iωc?? iy Ġ = iωc + iωc = iωc + ωc x 59. ωc + iωc + = + ω C e i = tan (ωc) Ġ Ġ = + ω C e i Ġ = + ω C e i (89) 6
4 = tan (ωc) (9) Ġ Ġ?? Ġ e i (9) + ω C = tan (ωc) (9) e i.3 ω s ω ω s ωc (93)?? + ω s (94) = tan (ω s ) ω s C ω s ω s C Ġ / 63
5 ω s. =..7 ω s log.5 log ω s log db 3 log ω s ω s.4 Bode Diagram (Bode Diagram) ω s 6. C 64
6 .5 6 ω s = = (95) ω s ω s.7 45 C C ω c f c ω s = ωc = ω c = C f c = πc (96) 8 ω s = 7 ω = / C =. = db 6 ω s > ω s 6 db/oct db/decdec=decade / / 65
7 .6 db A xdb= log A (97).7 log.7= 3dB A... x db A.5.7 x db E XB= log E B Bell db / xdb= log (98)???? = E = A log E = log A 66
8 .7 C 6 C C iy v i v o ωc x ż 6. C 6. + iωc Ġ C ż C = iωc ż = Ġ = ż ż C + ż = iωc + 6 iωc + = + e i ω C ( = + e i = tan ) ω C ωc Ġ Ġ = + ω C e i Ġ = e i (99) + ω C 67
9 ( ) = tan ωc () Ġ?? Ġ e i () + ω C = tan ( ωc ) () e i y = tan = tan y tan tan tan y= tan y π/ y π/ y π/ π/ = tan y y = tan 68
10 .8 ω s ω ω s ωc + ωs = tan ( ω s ) (3) ω s = ωc ω s ωc C ω s ω s C Ġ ω ω s ω s 69
11 log = log = log + ωs ( ω s + ω s = log ( + ω s ) ) = {log (ωs + ) log ωs } ω s {log (ωs + ) log ωs } =.. {log () log ωs } = log ωs ω s log ωs ω s log ω s = log = log = log =.3=.55 ω s = log ω s ω s. =..7 log log ω s.5 log db log ω s 3. log log 7
12 Bode Diagram (Bode Diagram) ω s 63. C.9 63 ω s = = (4) 7
13 ω s ω s.7 45 C C ω c f c ω s = ωc = ω c = C f c = πc (5)?? ω s =?? ω = / C =. = db 63 ω s > ω s 6 db/oct db/decdec=decade / / 7
14 . L LLO L L iy v i v o ωl x 64. L iωl Ġ L ż L = iωl ż = Ġ = ż ż L + ż = iωl + (6) 65 iωl + = + ω L ( ωl e i = tan ) Ġ Ġ = + ω L e i = + ω L e i = + ω L e i 73
15 Ġ = + ω L e i (7) ) ( ωl = tan Ġ?? Ġ e i (8) + ω L = tan ( ωl ) (9) e i y = tan = tan y tan tan tan y= tan y π/ y π/ y π/ π/ = tan y y = tan 74
16 . ω s ωl ω s ω s L ω ()?? + ω s () = tan ω s ω s L/ ω L ω s ω s Ġ ω s ω s ω s?? 75
17 ( ) log = log = log + ω ( + ωs ) s = log ( + ω s ) ω s ω s = ω s = ω s ω s. =..7 log log ω s.5 log db log ω s 3. log log 76
18 . Bode Diagram?? (Bode Diagram) ω s 66. L
19 ω s = = () ω s ω s.7 45 L ω s = ω = L L ω c f c ω s =L/ ω = ω c = L f c = πl (3)?? ω s =?? ω = /L =. = db 66 ω s > ω s 78
20 6 db/oct db/decdec=decade / / 79
21 .4 L 67 L v i L v o iy ωl ż x 67. L 68. i ωl Ġ L ż = ż L = iωl Ġ = ż L + ż L = iωl + iωl = = iωl + i ωl 68 i ωl = + ω L ( e i = tan ) ωl Ġ Ġ = + ω L e i 8
22 Ġ = + ω L e i (4) = tan ( ωl ) (5) Ġ?? Ġ e i (6) + ω L = tan ( ωl ) (7) e i y = tan = tan y tan tan tan y= tan y π/ y π/ y π/ π/ = tan y y = tan 8
23 .5 ω s ωl ω s ω s L ω + ωs = tan ( ω s ) (8) ω s = L ω ω s L/ ω L ω s ω s Ġ ω s ω s ω s 8
24 log = log = log + ωs ( ω s + ω s = log ( + ω s ) ) = {log (ωs + ) log ωs } ω s {log (ωs + ) log ωs } =.. {log () log ωs } = log ωs ω s log ωs ω s log ω s = log = log = log =.3=.55 ω s = log ω s ω s. =..7 log log ω s.5 log db log ω s 3 4. log log 83
25 .6 Bode Diagram (Bode Diagram) ω s 69. L
26 ω s = = (9) ω s ω s.7 45 L L ω c f c ω s =L/ ω = ω c = L f c = πl ()?? ω s =?? ω = /L =. = db 69 ω s < ω s / 6 db/oct oct=octave / db/decdec=decade 85
27
35
D: 0.BUN 7 8 4 B5 6 36 6....................................... 36 6.................................... 37 6.3................................... 38 6.3....................................... 38 6.4..........................................
More information22 22 22 22 22 33 33 33 33 33 44 44 44 44 44 55 55 55 55 55 66 66 66 66 66 88 88 88 88 22 22 3 3 33 4 4 44 44 5 5 55 55 66 66 66 66 77 77 8 8 88 88 33 33 33 44 44 55 55 66 66 77 77 @ 2 2 2 2 2 2 2 2 2
More informationA大扉・騒音振動.qxd
H21-30 H21-31 H21-32 H21-33 H21-34 H21-35 H21-36 H21-37 H21-38 H21-39 H21-40 H21-41 H21-42 n n S L N S L N L N S S S L L log I II I L I L log I I H21-43 L log L log I I I log log I I I log log I I I I
More information, 3, 6 = 3, 3,,,, 3,, 9, 3, 9, 3, 3, 4, 43, 4, 3, 9, 6, 6,, 0 p, p, p 3,..., p n N = p p p 3 p n + N p n N p p p, p 3,..., p n p, p,..., p n N, 3,,,,
6,,3,4,, 3 4 8 6 6................................. 6.................................. , 3, 6 = 3, 3,,,, 3,, 9, 3, 9, 3, 3, 4, 43, 4, 3, 9, 6, 6,, 0 p, p, p 3,..., p n N = p p p 3 p n + N p n N p p p,
More information- 1 - - 2 - - 3 - - 4 - - 5 - - 6 - 20log10 150 = 44 20log10 150 = 44-7 - - 8 - - 9 - - 10 - L ks X n + X 2 2 ) ( 1) ( 1 = X X n S n n n X L k k n X n X S n L n k - 11 - - 12 - - 13 - - 14 - - 15 - - 16
More informationA (1) = 4 A( 1, 4) 1 A 4 () = tan A(0, 0) π A π
4 4.1 4.1.1 A = f() = f() = a f (a) = f() (a, f(a)) = f() (a, f(a)) f(a) = f 0 (a)( a) 4.1 (4, ) = f() = f () = 1 = f (4) = 1 4 4 (4, ) = 1 ( 4) 4 = 1 4 + 1 17 18 4 4.1 A (1) = 4 A( 1, 4) 1 A 4 () = tan
More information34号 目 次
1932 35 1939 π 36 37 1937 12 28 1998 2002 1937 20 ª 1937 2004 1937 12 º 1937 38 11 Ω 1937 1943 1941 39 æ 1936 1936 1936 10 1938 25 35 40 2004 4800 40 ø 41 1936 17 1935 1936 1938 1937 15 2003 28 42 1857
More informationuntitled
24 10 迄 20 6 7 13 () 4 5-10 5-1 3-1 0.5 2-2 2-1 1-20 0.8 2-6 4-51 4-19 1.7 3-17 2-34 4-13 1.4 2-22 3-29 2-7 0.9 6-30 1-1 1-15 0.3 (%) (%) 13 12,418 12,599 98.6 11,886 12,599 94.3 50-16 - % db db 4 622
More informationanalog-control-mod : 2007/2/4(8:44) 2 E8 P M () r e K P ( ) T I u K M T M K D E8.: DC PID K D E8. (E8.) P M () E8.2 K P D () ( T ) (E8.2) K M T M K, T
analog-control-mod : 2007/2/4(8:44) E8 E8. PID DC. PID 2. DC PID 3. E8.2 DC PID C8 E8. DC PID E6 DC P M () K M ( T M ) (E8.) DC PID C8 E8. r e u E8.2 PID E8. PID analog-control-mod : 2007/2/4(8:44) 2 E8
More informationGmech08.dvi
51 5 5.1 5.1.1 P r P z θ P P P z e r e, z ) r, θ, ) 5.1 z r e θ,, z r, θ, = r sin θ cos = r sin θ sin 5.1) e θ e z = r cos θ r, θ, 5.1: 0 r
More informationZAE579
579 1. 1 2. 3 2.1 3 2.2 3 2.3 4 3. 6 4. 6 4.1 6 4.2 8 4.2.1 8 4.2.2 9 4.3 10 4.3.1 10 4.3.2 10 5. 11 5.1 11 5.1.1 11 5.1.2 12 5.1.3 14 5.1.4 16 5.1.5 17 5.1.6 22 5.2 23 5.2.1 23 5.2.2 24 5.2.3 25 5.2.4
More information1 2 1 0 6 a. b. c. d. e. 1. 1 2. 4 2.1 4 2.2 5 2.3 6 3. 8 4. 9 4.1 9 4.2 11 4.2.1 11 4.2.2 13 4.3 15 4.3.1 15 4.3.2 16 5. 19 5.1 19 5.1.1 19 5.1.2 21 5.1.3 24 5.1.4 27 5.1.5 29 5.1.6 37 5.2 39 5.2.1 39
More informationさくらの個別指導 ( さくら教育研究所 ) A a 1 a 2 a 3 a n {a n } a 1 a n n n 1 n n 0 a n = 1 n 1 n n O n {a n } n a n α {a n } α {a
... A a a a 3 a n {a n } a a n n 3 n n n 0 a n = n n n O 3 4 5 6 n {a n } n a n α {a n } α {a n } α α {a n } a n n a n α a n = α n n 0 n = 0 3 4. ()..0.00 + (0.) n () 0. 0.0 0.00 ( 0.) n 0 0 c c c c c
More informationx () 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 ),
More informationz f(z) f(z) x, y, u, v, r, θ r > 0 z = x + iy, f = u + iv C γ D f(z) f(z) D f(z) f(z) z, Rm z, z 1.1 z = x + iy = re iθ = r (cos θ + i sin θ) z = x iy
z fz fz x, y, u, v, r, θ r > z = x + iy, f = u + iv γ D fz fz D fz fz z, Rm z, z. z = x + iy = re iθ = r cos θ + i sin θ z = x iy = re iθ = r cos θ i sin θ x = z + z = Re z, y = z z = Im z i r = z = z
More information( ) ( ) 1729 (, 2016:17) = = (1) 1 1
1729 1 2016 10 28 1 1729 1111 1111 1729 (1887 1920) (1877 1947) 1729 (, 2016:17) 12 3 1728 9 3 729 1729 = 12 3 + 1 3 = 10 3 + 9 3 (1) 1 1 2 1729 1729 19 13 7 = 1729 = 12 3 + 1 3 = 10 3 + 9 3 13 7 = 91
More informationd dt P = d ( ) dv G M vg = F M = F (4.1) dt dt M v G P = M v G F (4.1) d dt H G = M G (4.2) H G M G Z K O I z R R O J x k i O P r! j Y y O -
44 4 4.1 d P = d dv M v = F M = F 4.1 M v P = M v F 4.1 d H = M 4.2 H M Z K I z R R J x k i P r! j Y y - XY Z I, J, K -xyz i, j, k P R = R + r 4.3 X Fig. 4.1 Fig. 4.1 ω P [ ] d d = + ω 4.4 [ ] 4 45 4.3
More information³ÎΨÏÀ
2017 12 12 Makoto Nakashima 2017 12 12 1 / 22 2.1. C, D π- C, D. A 1, A 2 C A 1 A 2 C A 3, A 4 D A 1 A 2 D Makoto Nakashima 2017 12 12 2 / 22 . (,, L p - ). Makoto Nakashima 2017 12 12 3 / 22 . (,, L p
More informationLLG-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 informationarctan 1 arctan arctan arctan π = = ( ) π = 4 = π = π = π = =
arctan arctan arctan arctan 2 2000 π = 3 + 8 = 3.25 ( ) 2 8 650 π = 4 = 3.6049 9 550 π = 3 3 30 π = 3.622 264 π = 3.459 3 + 0 7 = 3.4085 < π < 3 + 7 = 3.4286 380 π = 3 + 77 250 = 3.46 5 3.45926 < π < 3.45927
More information(5 B m e i 2π T mt m m B m e i 2π T mt m m B m e i 2π T mt B m (m < 0 C m m (6 (7 (5 g(t C 0 + m C m e i 2π T mt (7 C m e i 2π T mt + m m C m e i 2π T
2.6 FFT(Fast Fourier Transform 2.6. T g(t g(t 2 a 0 + { a m b m 2 T T 0 2 T T 0 (a m cos( 2π T mt + b m sin( 2π mt ( T m 2π g(t cos( T mtdt m 0,, 2,... 2π g(t sin( T mtdt m, 2, 3... (2 g(t T 0 < t < T
More information1 1 sin cos P (primary) S (secondly) 2 P S A sin(ω2πt + α) A ω 1 ω α V T m T m 1 100Hz m 2 36km 500Hz. 36km 1
sin cos P (primary) S (secondly) 2 P S A sin(ω2πt + α) A ω ω α 3 3 2 2V 3 33+.6T m T 5 34m Hz. 34 3.4m 2 36km 5Hz. 36km m 34 m 5 34 + m 5 33 5 =.66m 34m 34 x =.66 55Hz, 35 5 =.7 485.7Hz 2 V 5Hz.5V.5V V
More information理解のための教材開発と授業 (宮内).PDF
- 25 - Y ( ) () () Y - 26 - CD Y Y Y Y Y Y Y - 27-10 11 12 Y Y - 28 - Y 100 6 2 4 Y PTA Y Y Y - 29 - 1 Y Y Y Y - 32 - T Y Y Y T Y Y T Y T Y T Y T T Y Y T db Y Y T Y B T - 34 - T Y Y T Y T Y T Y Y T
More information1. z dr er r sinθ dϕ eϕ r dθ eθ dr θ dr dθ r x 0 ϕ r sinθ dϕ r sinθ dϕ y dr dr er r dθ eθ r sinθ dϕ eϕ 2. (r, θ, φ) 2 dr 1 h r dr 1 e r h θ dθ 1 e θ h
IB IIA 1 1 r, θ, φ 1 (r, θ, φ)., r, θ, φ 0 r
More information半 系列における記号の出現度数の対称性
l l 2018 08 27 2018 08 28 FFTPRSWS18 1 / 20 FCSR l LFSR NLFSR NLFSR Goresky Klapper FCSR l word-based FCSR l l... l 2 / 20 LFSR FCSR l a m 1 a m 2... a 1 a 0 q 1 q 2... q m 1 q m a = (a n) n 0 R m LFSR
More informationII Karel Švadlenka * [1] 1.1* 5 23 m d2 x dt 2 = cdx kx + mg dt. c, g, k, m 1.2* u = au + bv v = cu + dv v u a, b, c, d R
II Karel Švadlenka 2018 5 26 * [1] 1.1* 5 23 m d2 x dt 2 = cdx kx + mg dt. c, g, k, m 1.2* 5 23 1 u = au + bv v = cu + dv v u a, b, c, d R 1.3 14 14 60% 1.4 5 23 a, b R a 2 4b < 0 λ 2 + aλ + b = 0 λ =
More informationm dv = mg + kv2 dt m dv dt = mg k v v m dv dt = mg + kv2 α = mg k v = α 1 e rt 1 + e rt m dv dt = mg + kv2 dv mg + kv 2 = dt m dv α 2 + v 2 = k m dt d
m v = mg + kv m v = mg k v v m v = mg + kv α = mg k v = α e rt + e rt m v = mg + kv v mg + kv = m v α + v = k m v (v α (v + α = k m ˆ ( v α ˆ αk v = m v + α ln v α v + α = αk m t + C v α v + α = e αk m
More information,, 2. Matlab Simulink 2018 PC Matlab Scilab 2
(2018 ) ( -1) TA Email : ohki@i.kyoto-u.ac.jp, ske.ta@bode.amp.i.kyoto-u.ac.jp : 411 : 10 308 1 1 2 2 2.1............................................ 2 2.2..................................................
More information18 ( ) ( ) [ ] [ ) II III A B (120 ) 1, 2, 3, 5, 6 II III A B (120 ) ( ) 1, 2, 3, 7, 8 II III A B (120 ) ( [ ]) 1, 2, 3, 5, 7 II III A B (
8 ) ) [ ] [ ) 8 5 5 II III A B ),,, 5, 6 II III A B ) ),,, 7, 8 II III A B ) [ ]),,, 5, 7 II III A B ) [ ] ) ) 7, 8, 9 II A B 9 ) ) 5, 7, 9 II B 9 ) A, ) B 6, ) l ) P, ) l A C ) ) C l l ) π < θ < π sin
More information(1) D = [0, 1] [1, 2], (2x y)dxdy = D = = (2) D = [1, 2] [2, 3], (x 2 y + y 2 )dxdy = D = = (3) D = [0, 1] [ 1, 2], 1 {
7 4.., ], ], ydy, ], 3], y + y dy 3, ], ], + y + ydy 4, ], ], y ydy ydy y y ] 3 3 ] 3 y + y dy y + 3 y3 5 + 9 3 ] 3 + y + ydy 5 6 3 + 9 ] 3 73 6 y + y + y ] 3 + 3 + 3 3 + 3 + 3 ] 4 y y dy y ] 3 y3 83 3
More informationuntitled
No. 1 2 3 1 4 310 1 5 311 7 1 6 311 1 7 2 8 2 9 1 10 2 11 2 12 2 13 3 14 3 15 3 16 3 17 2 18 2 19 3 1 No. 20 4 21 4 22 4 23 4 25 4 26 4 27 4 28 4 29 2760 4 30 32 6364 4 36 4 37 4 39 4 42 4 43 4 44 4 46
More information() x + y + y + x dy dx = 0 () dy + xy = x dx y + x y ( 5) ( s55906) 0.7. (). 5 (). ( 6) ( s6590) 0.8 m n. 0.9 n n A. ( 6) ( s6590) f A (λ) = det(a λi)
0. A A = 4 IC () det A () A () x + y + z = x y z X Y Z = A x y z ( 5) ( s5590) 0. a + b + c b c () a a + b + c c a b a + b + c 0 a b c () a 0 c b b c 0 a c b a 0 0. A A = 7 5 4 5 0 ( 5) ( s5590) () A ()
More informationc 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
More information. p.1/15
. p./5 [ ] x y y x x y fx) y fx) x y. p.2/5 [ ] x y y x x y fx) y fx) x y y x y x y fx) f y) x f y) f f f f. p.2/5 [ ] x y y x x y fx) y fx) x y y x y x y fx) f y) x f y) f f f f [ ] a > y a x R ). p.2/5
More informationA A p.1/16
A A p./6 A p.2/6 [ ] x y y x x y fx) y fx) x y A p.3/6 [ ] x y y x x y fx) y fx) x y y x y x y fx) f y) x f y) f f f f A p.3/6 [ ] x y y x x y fx) y fx) x y y x y x y fx) f y) x f y) f f f f [ ] a > y
More information1. (8) (1) (x + y) + (x + y) = 0 () (x + y ) 5xy = 0 (3) (x y + 3y 3 ) (x 3 + xy ) = 0 (4) x tan y x y + x = 0 (5) x = y + x + y (6) = x + y 1 x y 3 (
1 1.1 (1) (1 + x) + (1 + y) = 0 () x + y = 0 (3) xy = x (4) x(y + 3) + y(y + 3) = 0 (5) (a + y ) = x ax a (6) x y 1 + y x 1 = 0 (7) cos x + sin x cos y = 0 (8) = tan y tan x (9) = (y 1) tan x (10) (1 +
More informationc 2009 i
I 2009 c 2009 i 0 1 0.0................................... 1 0.1.............................. 3 0.2.............................. 5 1 7 1.1................................. 7 1.2..............................
More informatione 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,
More information1 variation 1.1 imension unit L m M kg T s Q C QT 1 A = C s 1 MKSA F = ma N N = kg m s 1.1 J E = 1 mv W = F x J = kg m s 1 = N m 1.
1.1 1. 1.3.1..3.4 3.1 3. 3.3 4.1 4. 4.3 5.1 5. 5.3 6.1 6. 6.3 7.1 7. 7.3 1 1 variation 1.1 imension unit L m M kg T s Q C QT 1 A = C s 1 MKSA F = ma N N = kg m s 1.1 J E = 1 mv W = F x J = kg m s 1 = N
More informationpower.tex
Contents ii 1... 1... 1... 7... 7 3 (DFFT).................................... 8 4 (CIFT) DFFT................................ 10 5... 13 6... 16 3... 0 4... 0 5... 0 6... 0 i 1987 SN1987A 0.5 X SN1987A
More information4 5.............................................. 5............................................ 6.............................................. 7......................................... 8.3.................................................4.........................................4..............................................4................................................4.3...............................................
More information36 3 D f(z) D z f(z) z Taylor z D C f(z) z C C f (z) C f(z) f (z) f(z) D C D D z C C 3.: f(z) 3. f (z) f 2 (z) D D D D D f (z) f 2 (z) D D f (z) f 2 (
3 3. D f(z) D D D D D D D D f(z) D f (z) f (z) f(z) D (i) (ii) (iii) f(z) = ( ) n z n = z + z 2 z 3 + n= z < z < z > f (z) = e t(+z) dt Re z> Re z> [ ] f (z) = e t(+z) = (Rez> ) +z +z t= z < f(z) Taylor
More informationz f(z) f(z) x, y, u, v, r, θ r > 0 z = x + iy, f = u + iv C γ D f(z) f(z) D f(z) f(z) z, Rm z, z 1.1 z = x + iy = re iθ = r (cos θ + i sin θ) z = x iy
f f x, y, u, v, r, θ r > = x + iy, f = u + iv C γ D f f D f f, Rm,. = x + iy = re iθ = r cos θ + i sin θ = x iy = re iθ = r cos θ i sin θ x = + = Re, y = = Im i r = = = x + y θ = arg = arctan y x e i =
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. 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 informationno35.dvi
p.16 1 sin x, cos x, tan x a x a, a>0, a 1 log a x a III 2 II 2 III III [3, p.36] [6] 2 [3, p.16] sin x sin x lim =1 ( ) [3, p.42] x 0 x ( ) sin x e [3, p.42] III [3, p.42] 3 3.1 5 8 *1 [5, pp.48 49] sin
More information転位の応力場について
y.koyama f ( F ( F( f( xp( i d f( F( xp( i ( π xp( i d δ ( F( δ ( f( δ ( xp( i f ( δ ( F( f ( xp( i d xp( i d F( f( xp( i d ' F( xp( i xp( i ' ' d ' F( xp{ i( } d ' ' ' d ' ' F( ' xp{ i( } d ' ' ' F( '
More information(iii) 0 V, x V, x + 0 = x. 0. (iv) x V, y V, x + y = 0., y x, y = x. (v) 1x = x. (vii) (α + β)x = αx + βx. (viii) (αβ)x = α(βx)., V, C.,,., (1)
1. 1.1...,. 1.1.1 V, V x, y, x y x + y x + y V,, V x α, αx αx V,, (i) (viii) : x, y, z V, α, β C, (i) x + y = y + x. (ii) (x + y) + z = x + (y + z). 1 (iii) 0 V, x V, x + 0 = x. 0. (iv) x V, y V, x + y
More information( ) 2.1. C. (1) x 4 dx = 1 5 x5 + C 1 (2) x dx = x 2 dx = x 1 + C = 1 2 x + C xdx (3) = x dx = 3 x C (4) (x + 1) 3 dx = (x 3 + 3x 2 + 3x +
(.. C. ( d 5 5 + C ( d d + C + C d ( d + C ( ( + d ( + + + d + + + + C (5 9 + d + d tan + C cos (sin (6 sin d d log sin + C sin + (7 + + d ( + + + + d log( + + + C ( (8 d 7 6 d + 6 + C ( (9 ( d 6 + 8 d
More informationII 2 II
II 2 II 2005 yugami@cc.utsunomiya-u.ac.jp 2005 4 1 1 2 5 2.1.................................... 5 2.2................................. 6 2.3............................. 6 2.4.................................
More informationPP_.{ qxd
157 d 6 149 56 157 d 6 5 7 x 148 56 x 3 4 1 2 e r w 7 q Ω 4 14 18 1 0 23 24 25 26 68 70 72 74 78 0 1 2 3 4 5 6 7 8 9 20 22 24 26 28 30 32 34 36 2 38 27 28 29 30 31 32 33 34 35 4 80 82 84 86 88 90 92 94
More informationnsg04-28/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 !!
More information1 No.1 5 C 1 I III F 1 F 2 F 1 F 2 2 Φ 2 (t) = Φ 1 (t) Φ 1 (t t). = Φ 1(t) t = ( 1.5e 0.5t 2.4e 4t 2e 10t ) τ < 0 t > τ Φ 2 (t) < 0 lim t Φ 2 (t) = 0
1 No.1 5 C 1 I III F 1 F 2 F 1 F 2 2 Φ 2 (t) = Φ 1 (t) Φ 1 (t t). = Φ 1(t) t = ( 1.5e 0.5t 2.4e 4t 2e 10t ) τ < 0 t > τ Φ 2 (t) < 0 lim t Φ 2 (t) = 0 0 < t < τ I II 0 No.2 2 C x y x y > 0 x 0 x > b a dx
More information120 9 I I 1 I 2 I 1 I 2 ( a) ( b) ( c ) I I 2 I 1 I ( d) ( e) ( f ) 9.1: Ampère (c) (d) (e) S I 1 I 2 B ds = µ 0 ( I 1 I 2 ) I 1 I 2 B ds =0. I 1 I 2
9 E B 9.1 9.1.1 Ampère Ampère Ampère s law B S µ 0 B ds = µ 0 j ds (9.1) S rot B = µ 0 j (9.2) S Ampère Biot-Savart oulomb Gauss Ampère rot B 0 Ampère µ 0 9.1 (a) (b) I B ds = µ 0 I. I 1 I 2 B ds = µ 0
More information2.2 h h l L h L = l cot h (1) (1) L l L l l = L tan h (2) (2) L l 2 l 3 h 2.3 a h a h (a, h)
1 16 10 5 1 2 2.1 a a a 1 1 1 2.2 h h l L h L = l cot h (1) (1) L l L l l = L tan h (2) (2) L l 2 l 3 h 2.3 a h a h (a, h) 4 2 3 4 2 5 2.4 x y (x,y) l a x = l cot h cos a, (3) y = l cot h sin a (4) h a
More information2012 September 21, 2012, Rev.2.2
212 September 21, 212, Rev.2.2 4................. 4 1 6 1.1.................. 6 1.2.................... 7 1.3 s................... 8 1.4....................... 9 1.5..................... 11 2 12 2.1.........................
More informationChap10.dvi
=0. f = 2 +3 { 2 +3 0 2 f = 1 =0 { sin 0 3 f = 1 =0 2 sin 1 0 4 f = 0 =0 { 1 0 5 f = 0 =0 f 3 2 lim = lim 0 0 0 =0 =0. f 0 = 0. 2 =0. 3 4 f 1 lim 0 0 = lim 0 sin 2 cos 1 = lim 0 2 sin = lim =0 0 2 =0.
More informationsec13.dvi
13 13.1 O r F R = m d 2 r dt 2 m r m = F = m r M M d2 R dt 2 = m d 2 r dt 2 = F = F (13.1) F O L = r p = m r ṙ dl dt = m ṙ ṙ + m r r = r (m r ) = r F N. (13.2) N N = R F 13.2 O ˆn ω L O r u u = ω r 1 1:
More information( ) s n (n = 0, 1,...) n n = δ nn n n = I n=0 ψ = n C n n (1) C n = n ψ α = e 1 2 α 2 n=0 α, β α n n! n (2) β α = e 1 2 α 2 1
(3.5 3.8) 03032s 2006.7.0 n (n = 0,,...) n n = δ nn n n = I n=0 ψ = n C n n () C n = n ψ α = e 2 α 2 n=0 α, β α n n (2) β α = e 2 α 2 2 β 2 n=0 =0 = e 2 α 2 β n α 2 β 2 n=0 = e 2 α 2 2 β 2 +β α β n α!
More informationop-amp-v1.dvi
2 2. Operational Amplifier/OP OP-AMP IC OP LM74 IC OP Black Box OP. 2. 3. 4. 5. 6. 0 0 OP LM74 (Z in ) 2MΩ (Z out ) 75Ω (A) 06dB2 0 5 OP OP OP LM74 DIP OP = A ( ) OP 2 8 NCNo Connection 2 7 3 6 4 5 : LM74
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) (
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 informationmain.dvi
5 IIR IIR z 5.1 5.1.1 1. 2. IIR(Infinite Impulse Response) FIR(Finite Impulse Response) 3. 4. 5. 5.1.2 IIR FIR 5.1 5.1 5.2 104 5. IIR 5.1 IIR FIR IIR FIR H(z) = a 0 +a 1 z 1 +a 2 z 2 1+b 1 z 1 +b 2 z 2
More informationf (x) x y f(x+dx) f(x) Df 関数 接線 x Dx x 1 x x y f f x (1) x x 0 f (x + x) f (x) f (2) f (x + x) f (x) + f = f (x) + f x (3) x f
208 3 28. f fd f Df 関数 接線 D f f 0 f f f 2 f f f f f 3 f lim f f df 0 d 4 f df d 3 f d f df d 5 d c 208 2 f f t t f df d 6 d t dt 7 f df df d d df dt lim f 0 t df d d dt d t 8 dt 9.2 f,, f 0 f 0 lim 0 lim
More information1 Tokyo Daily Rainfall (mm) Days (mm)
( ) r-taka@maritime.kobe-u.ac.jp 1 Tokyo Daily Rainfall (mm) 0 100 200 300 0 10000 20000 30000 40000 50000 Days (mm) 1876 1 1 2013 12 31 Tokyo, 1876 Daily Rainfall (mm) 0 50 100 150 0 100 200 300 Tokyo,
More informationmain.dvi
4 DFT DFT Fast Fourier Transform: FFT 4.1 DFT IDFT X(k) = 1 n=0 x(n)e j2πkn (4.1) 1 x(n) = 1 X(k)e j2πkn (4.2) k=0 x(n) X(k) DFT 2 ( 1) 2 4 2 2(2 1) 2 O( 2 ) 4.2 FFT 4.2.1 radix2 FFT 1 (4.1) 86 4. X(0)
More information18 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 information2 2 L 5 2. L L L L k.....
L 528 206 2 9 2 2 L 5 2. L........................... 5 2.2 L................................... 7 2............................... 9. L..................2 L k........................ 2 4 I 5 4. I...................................
More informationnotekiso1_09.dvi
39 3 3.1 2 Ax 1,y 1 Bx 2,y 2 x y fx, y z fx, y x 1,y 1, 0 x 1,y 1,fx 1,y 1 x 2,y 2, 0 x 2,y 2,fx 2,y 2 A s I fx, yds lim fx i,y i Δs. 3.1.1 Δs 0 x i,y i N Δs 1 I lim Δx 2 +Δy 2 0 x 1 fx i,y i Δx i 2 +Δy
More information(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
1 1 1.1 1.) T D = T = D = kn 1. 1.4) F W = F = W/ = kn/ = 15 kn 1. 1.9) R = W 1 + W = 6 + 5 = 11 N. 1.9) W b W 1 a = a = W /W 1 )b = 5/6) = 5 cm 1.4 AB AC P 1, P x, y x, y y x 1.4.) P sin 6 + P 1 sin 45
More information効率化計画冊子ファイナル.PDF
- 1 - - 2 - - 3 - - 4 - - 5 - - 6 - - 7 - - 8 - - 9 - - 10 - - 11 - - 12 - - 13 - - 14 - - 15 - - 16 - - 17 - (77kV) (6kV) (77kV6kV 6kV - 18-77kV 10%20% - 19 - - 20 - - 21 - - 22 - - 23 - - 24 - DB( )
More information「産業上利用することができる発明」の審査の運用指針(案)
1 1.... 2 1.1... 2 2.... 4 2.1... 4 3.... 6 4.... 6 1 1 29 1 29 1 1 1. 2 1 1.1 (1) (2) (3) 1 (4) 2 4 1 2 2 3 4 31 12 5 7 2.2 (5) ( a ) ( b ) 1 3 2 ( c ) (6) 2. 2.1 2.1 (1) 4 ( i ) ( ii ) ( iii ) ( iv)
More informationp = mv p x > h/4π λ = h p m v Ψ 2 Ψ
II p = mv p x > h/4π λ = h p m v Ψ 2 Ψ Ψ Ψ 2 0 x P'(x) m d 2 x = mω 2 x = kx = F(x) dt 2 x = cos(ωt + φ) mω 2 = k ω = m k v = dx = -ωsin(ωt + φ) dt = d 2 x dt 2 0 y v θ P(x,y) θ = ωt + φ ν = ω [Hz] 2π
More informationFinePix S5000 使用説明書
BL00260-101(2) 1 2 2 3 B p y S J B? m,. / N M < > e d x b d c n f f j k h D * + A j G z B r r 4 6 F 5 B o i T t t p u u U 3 e y y y y y y y y y 4 x x p x x x x x x x x x x x x 5 6 abdc d c 7 1 1 2! 3!
More informationI y = f(x) a I a x I x = a + x 1 f(x) f(a) x a = f(a + x) f(a) x (11.1) x a x 0 f(x) f(a) f(a + x) f(a) lim = lim x a x a x 0 x (11.2) f(x) x
11 11.1 I y = a I a x I x = a + 1 f(a) x a = f(a +) f(a) (11.1) x a 0 f(a) f(a +) f(a) = x a x a 0 (11.) x = a a f (a) d df f(a) (a) I dx dx I I I f (x) d df dx dx (x) [a, b] x a ( 0) x a (a, b) () [a,
More informationgrad φ(p ) φ P grad φ(p ) p P p φ P p l t φ l t = 0 g (0) g (0) (31) grad φ(p ) p grad φ φ (P, φ(p )) xy (x, y) = (ξ(t), η(t)) ( )
2 9 2 5 2.2.3 grad φ(p ) φ P grad φ(p ) p P p φ P p l t φ l t = g () g () (3) grad φ(p ) p grad φ φ (P, φ(p )) y (, y) = (ξ(t), η(t)) ( ) ξ (t) (t) := η (t) grad f(ξ(t), η(t)) (t) g(t) := f(ξ(t), η(t))
More informationohp_06nov_tohoku.dvi
2006 11 28 1. (1) ẋ = ax = x(t) =Ce at C C>0 a0 x(t) 0(t )!! 1 0.8 0.6 0.4 0.2 2 4 6 8 10-0.2 (1) a =2 C =1 1. (1) τ>0 (2) ẋ(t) = ax(t τ) 4 2 2 4 6 8 10-2 -4 (2) a =2 τ =1!! 1. (2) A. (2)
More information2 G(k) e ikx = (ik) n x n n! n=0 (k ) ( ) X n = ( i) n n k n G(k) k=0 F (k) ln G(k) = ln e ikx n κ n F (k) = F (k) (ik) n n= n! κ n κ n = ( i) n n k n
. X {x, x 2, x 3,... x n } X X {, 2, 3, 4, 5, 6} X x i P i. 0 P i 2. n P i = 3. P (i ω) = i ω P i P 3 {x, x 2, x 3,... x n } ω P i = 6 X f(x) f(x) X n n f(x i )P i n x n i P i X n 2 G(k) e ikx = (ik) n
More information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<4D F736F F D B B BB2D834A836F815B82D082C88C602E646F63>
信号処理の基礎 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/081051 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 AI ii z / 2 3 4 5 6 7 7 z 8 8 iii 2013 3 iv 1 1 1.1... 1 1.2... 2 2 4 2.1...
More informationuntitled
( 9:: 3:6: (k 3 45 k F m tan 45 k 45 k F m tan S S F m tan( 6.8k tan k F m ( + k tan 373 S S + Σ Σ 3 + Σ os( sin( + Σ sin( os( + sin( os( p z ( γ z + K pzdz γ + K γ K + γ + 9 ( 9 (+ sin( sin { 9 ( } 4
More informationchap1.dvi
1 1 007 1 e iθ = cos θ + isin θ 1) θ = π e iπ + 1 = 0 1 ) 3 11 f 0 r 1 1 ) k f k = 1 + r) k f 0 f k k = 01) f k+1 = 1 + r)f k ) f k+1 f k = rf k 3) 1 ) ) ) 1+r/)f 0 1 1 + r/) f 0 = 1 + r + r /4)f 0 1 f
More information諮問第 3 号 国際無線障害特別委員会(CISPR) の諸規格について のうち 無線周波妨害波およびイミュニティ測定法の技術的条件
諮問第 3 号 国際無線障害特別委員会(CISPR) の諸規格について のうち 無線周波妨害波およびイミュニティ測定法の技術的条件 T m T s T o T m T o T m T tot T tot T m T s T s T m Δf T s min 2 Ts min = ( k Δf ) /( Bres ) T s min Δf B res k T = ( k Δf ) /(
More information組N
2 421 @0836532028 88 202 14 38 70 25 3 21 21 4 π 20 12 21 01 02 5 6 7 21 300 100 50 100 1 0839333188 1 0839213090 034145 040176 065 8 9 山口県の中小企業 10 11 128 0836831403 41 19 10839222606 21 6020 12 13 60
More information