ii 4 5 RLC 2 LC LC OTA, FDNR 6
|
|
- つかさ おなか
- 5 years ago
- Views:
Transcription
1 There is nothing more practical than a good theory. James Clerk Maxwell ( ) MOSFET 3 MOSFET MOS CMOS CMOS CMOS
2 ii 4 5 RLC 2 LC LC OTA, FDNR 6
3 iii 1 (90 30 )
4
5 v KCL KVL KCL KVL MATLAB
6 vi MOSFET MATLAB MOSFET MOSFET MOSFET nmos nmos CMOS CMOS MOSFET MOSFET MOSFET
7 vii
8 viii CMOS LC LC LC RC RC (Sallen-Key) RC
9 ix RC OTA (VCCS) OTA C RC A A A A
10 x A A A A A A A A A A A A A A A A A A A
11 (Pi) i (P1) R (x, y, z, t) R 4 (P2) ρ(x, y, z, t) R J(x, y, z, t) R 3 R 4 ρ t +divj =0 (1.1) E(x, y, z, t) B(x, y, z, t) D(x, y, z, t) H(x, y, x, t) rote = B t roth = J + D t (1.2) (1.3)
12 2 1. divd = ρ (1.4) divb =0 (1.5) (P3) V S S n(x, y, z) Q(t) = ρ(x, y, z)dv (1.6) V V I(t) = J(x, y, z, t) nds (1.7) S V S dq dt = ρ V t dv = divj dv V = J(x, y, z, t) nds = I (1.8) S (P1) (P2) voltage Alessandro Antonio Volta ( ) (volt) Volta
13 1.1 3 B rote =0 E = grad φ φ E dl =0 (1.9) C 0 ) P 1 P 0 φ(p 1 ) φ(p 0 )= P1 P 0 E dl (1.10) P 1 P 0 φ(p 1 ) φ(p 0 ) (1.9) (1.3) D roth = J H div roth =0 div J =0 P 1 S V div J dv = 0 (1.11) V div J dv = J nds = 0 (1.12) V S S J ds = 0 (1.13) S 1.1.3
14 (KVL) (1.5) A B =rota (1.5) rot (E + A/ t) =0 E + A/ t φ grad φ = E + A t (1.14) C C E dl + d dt C A dl = E dl + d rota nds C dt S = E dl + d dt Φ = 0 (1.15) C v(t) =dφ(t)/dt (1.15) 2 (KCL) (1.3) D roth = J + D/ t H div roth =0 div J + divd/ t =0 P S V div J dv + d dt V div J dv = J nds V S V divd =0
15 V ρdv = Q V Q J nds + dq dt = 0 (1.16) S (lumped constant circuits) 1 (P4) (a) (b) (c) (P5) p 0 p 1 p 1 p
16 6 1. i p 1 p 0 i φ φ(p 0 ) p 0 φ(p 1 ) p 1 v = φ(p 1 ) φ(p 0 ) p 0 p 1 v i v t 1 x i di/dt y v dv/dt f : R 2 R f(x, y) =0 2 f (P6) J E J = σe 2 3 σ 1.2 l E 1.2 l v q F = qe + v B v B v
17 ,
18 RC , , RC , nmosfet 72 2, ,
19 RC , KVL, KCL , , , , ,
20 A AND 94 C C 1 [a, b] 249 C[a, b] 249 CMOS 76 E eig(matlab) 126 expm(matlab) 125 F FDNR 185 I INTLAB 30 M MATLAB 29 \(MATLAB) 30 MOSFET 52, MOSFET 63 MOSFET 64 MOS 8 N NAND 81 nmos 55 nmosfet 67 nmosfet 68 NOR 81 NOT 94 n 54 O OR 94 OTA 86, 180 P pmos 55 pmosfet 60 pn 52 p 55 Q Q() 67 Q (quality factor) 120 R RC 171 S syms(matlab) 125 V VCCS 180 verifylss(intlab) 30 W W/L 58 Δ Y 50 π 127
21 Circuit Theory c Shin ichi Oishi CORONA PUBLISHING CO., LTD. Tokyo Japan :// ISBN Printed in Japan
<4D6963726F736F667420506F776572506F696E74202D208376838C835B83938365815B835683878393312E707074205B8CDD8AB78382815B83685D>
i i vi ii iii iv v vi vii viii ix 2 3 4 5 6 7 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60
More informationSC-85X2取説
I II III IV V VI .................. VII VIII IX X 1-1 1-2 1-3 1-4 ( ) 1-5 1-6 2-1 2-2 3-1 3-2 3-3 8 3-4 3-5 3-6 3-7 ) ) - - 3-8 3-9 4-1 4-2 4-3 4-4 4-5 4-6 5-1 5-2 5-3 5-4 5-5 5-6 5-7 5-8 5-9 5-10 5-11
More informationt = 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
I 1 m 2 l k 2 x = 0 x 1 x 1 2 x 2 g x x 2 x 1 m k m 1-1. L x 1, x 2, ẋ 1, ẋ 2 ẋ 1 x = 0 1-2. 2 Q = x 1 + x 2 2 q = x 2 x 1 l L Q, q, Q, q M = 2m µ = m 2 1-3. Q q 1-4. 2 x 2 = h 1 x 1 t = 0 2 1 t x 1 (t)
More informationこれわかWord2010_第1部_100710.indd
i 1 1 2 3 6 6 7 8 10 10 11 12 12 12 13 2 15 15 16 17 17 18 19 20 20 21 ii CONTENTS 25 26 26 28 28 29 30 30 31 32 35 35 35 36 37 40 42 44 44 45 46 49 50 50 51 iii 52 52 52 53 55 56 56 57 58 58 60 60 iv
More informationパワポカバー入稿用.indd
i 1 1 2 2 3 3 4 4 4 5 7 8 8 9 9 10 11 13 14 15 16 17 19 ii CONTENTS 2 21 21 22 25 26 32 37 38 39 39 41 41 43 43 43 44 45 46 47 47 49 52 54 56 56 iii 57 59 62 64 64 66 67 68 71 72 72 73 74 74 77 79 81 84
More informationこれでわかるAccess2010
i 1 1 1 2 2 2 3 4 4 5 6 7 7 9 10 11 12 13 14 15 17 ii CONTENTS 2 19 19 20 23 24 25 25 26 29 29 31 31 33 35 36 36 39 39 41 44 45 46 48 iii 50 50 52 54 55 57 57 59 61 63 64 66 66 67 70 70 73 74 74 77 77
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 informationIII
III 1 1 2 1 2 3 1 3 4 1 3 1 4 1 3 2 4 1 3 3 6 1 4 6 1 4 1 6 1 4 2 8 1 4 3 9 1 5 10 1 5 1 10 1 5 2 12 1 5 3 12 1 5 4 13 1 6 15 2 1 18 2 1 1 18 2 1 2 19 2 2 20 2 3 22 2 3 1 22 2 3 2 24 2 4 25 2 4 1 25 2
More informationiii iv v vi vii viii ix 1 1-1 1-2 1-3 2 2-1 3 3-1 3-2 3-3 3-4 4 4-1 4-2 5 5-1 5-2 5-3 5-4 5-5 5-6 5-7 6 6-1 6-2 6-3 6-4 6-5 6 6-1 6-2 6-3 6-4 6-5 7 7-1 7-2 7-3 7-4 7-5 7-6 7-7 7-8 7-9 7-10 7-11 8 8-1
More information平成18年版 男女共同参画白書
i ii iii iv v vi vii viii ix 3 4 5 6 7 8 9 Column 10 11 12 13 14 15 Column 16 17 18 19 20 21 22 23 24 25 26 Column 27 28 29 30 Column 31 32 33 34 35 36 Column 37 Column 38 39 40 Column 41 42 43 44 45
More information『戦時経済体制の構想と展開』
1 15 15 17 29 36 45 47 48 53 53 54 58 60 70 88 95 95 98 102 107 116 v 121 121 123 124 129 132 142 160 163 163 168 174 183 193 198 205 205 208 212 218 232 237 237 240 247 251 vi 256 268 273 289 293 311
More information2
1 2 3 4 5 6 7 8 9 10 I II III 11 IV 12 V 13 VI VII 14 VIII. 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 _ 33 _ 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 VII 51 52 53 54 55 56 57 58 59
More informationuntitled
i ii iii iv v 43 43 vi 43 vii T+1 T+2 1 viii 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 a) ( ) b) ( ) 51
More informationエクセルカバー入稿用.indd
i 1 1 2 3 5 5 6 7 7 8 9 9 10 11 11 11 12 2 13 13 14 15 15 16 17 17 ii CONTENTS 18 18 21 22 22 24 25 26 27 27 28 29 30 31 32 36 37 40 40 42 43 44 44 46 47 48 iii 48 50 51 52 54 55 59 61 62 64 65 66 67 68
More information01_.g.r..
I II III IV V VI VII VIII IX X XI I II III IV V I I I II II II I I YS-1 I YS-2 I YS-3 I YS-4 I YS-5 I YS-6 I YS-7 II II YS-1 II YS-2 II YS-3 II YS-4 II YS-5 II YS-6 II YS-7 III III YS-1 III YS-2
More informationii iii iv CON T E N T S iii iv v Chapter1 Chapter2 Chapter 1 002 1.1 004 1.2 004 1.2.1 007 1.2.2 009 1.3 009 1.3.1 010 1.3.2 012 1.4 012 1.4.1 014 1.4.2 015 1.5 Chapter3 Chapter4 Chapter5 Chapter6 Chapter7
More information活用ガイド (ソフトウェア編)
(Windows 95 ) ii iii iv NEC Corporation 1999 v P A R T 1 vi P A R T 2 vii P A R T 3 P A R T 4 viii P A R T 5 ix x P A R T 1 2 3 1 1 2 4 1 2 3 4 5 1 1 2 3 4 6 5 6 7 7 1 1 2 8 1 9 1 1 2 3 4 5 6 1 2 3 4
More information3 5 18 3 5000 1 2 7 8 120 1 9 1954 29 18 12 30 700 4km 1.5 100 50 6 13 5 99 93 34 17 2 2002 04 14 16 6000 12 57 60 1986 55 3 3 3 500 350 4 5 250 18 19 1590 1591 250 100 500 20 800 20 55 3 3 3 18 19 1590
More information困ったときのQ&A
ii iii iv NEC Corporation 1997 v P A R T 1 vi vii P A R T 2 viii P A R T 3 ix x xi 1P A R T 2 1 3 4 1 5 6 1 7 8 1 9 1 2 3 4 10 1 11 12 1 13 14 1 1 2 15 16 1 2 1 1 2 3 4 5 17 18 1 2 3 1 19 20 1 21 22 1
More informationelemag.dvi
II 2006 1 24 i 1 3 1.1... 3 1.2... 5 1.3... 6 1.4... 6 1.5 (Gauss)... 7 1.5.1... 8 1.5.2 (Green)... 9 1.6 (Stokes)... 9 2 11 2.1... 11 2.2... 12 2.3... 13 2.4... 14 2.4.1... 15 2.4.2... 15 2.4.3... 16
More information活用ガイド (ソフトウェア編)
(Windows 98 ) ii iii iv v NEC Corporation 1999 vi P A R T 1 P A R T 2 vii P A R T 3 viii P A R T 4 ix P A R T 5 x P A R T 1 2 3 1 1 2 4 1 2 3 4 5 1 1 2 3 4 5 6 6 7 7 1 1 2 8 1 9 1 1 2 3 4 5 6 1 2 3 10
More informationi
i ii iii iv v vi vii viii ix x xi ( ) 854.3 700.9 10 200 3,126.9 162.3 100.6 18.3 26.5 5.6/s ( ) ( ) 1949 8 12 () () ア イ ウ ) ) () () () () BC () () (
More information( 23 )
( 23 ) 2 9 11 16 21........................................... 21........................................... 24........................................... 28...........................................
More information活用ガイド (ソフトウェア編)
ii iii iv NEC Corporation 1998 v vi PA RT 1 vii PA RT 2 viii PA RT 3 PA RT 4 ix P A R T 1 2 3 1 4 5 1 1 2 1 2 3 4 6 1 2 3 4 5 7 1 6 7 8 1 9 1 10 1 2 3 4 5 6 7 8 9 10 11 11 1 12 12 1 13 1 1 14 2 3 4 5 1
More informationパソコン機能ガイド
PART12 ii iii iv v 1 2 3 4 5 vi vii viii ix P A R T 1 x P A R T 2 xi P A R T 3 xii xiii P A R T 1 2 3 1 4 5 1 6 1 1 2 7 1 2 8 1 9 10 1 11 12 1 13 1 2 3 4 14 1 15 1 2 3 16 4 1 1 2 3 17 18 1 19 20 1 1
More informationパソコン機能ガイド
PART2 iii ii iv v 1 2 3 4 5 vi vii viii ix P A R T 1 x P A R T 2 xi P A R T 3 xii xiii P A R T 1 2 1 3 4 1 5 6 1 2 1 1 2 7 8 9 1 10 1 11 12 1 13 1 2 3 14 4 1 1 2 3 15 16 1 17 1 18 1 1 2 19 20 1 21 1 22
More informationi ii iii iv v vi vii ( ー ー ) ( ) ( ) ( ) ( ) ー ( ) ( ) ー ー ( ) ( ) ( ) ( ) ( ) 13 202 24122783 3622316 (1) (2) (3) (4) 2483 (1) (2) (3) (4) (5) (6) (7) (8) (9) (10) (11) 11 11 2483 13
More information1... 1 2... 1 1... 1 2... 2 3... 2 4... 4 5... 4 6... 4 7... 22 8... 22 3... 22 1... 22 2... 23 3... 23 4... 24 5... 24 6... 25 7... 31 8... 32 9... 3
3 2620149 3 6 3 2 198812 21/ 198812 21 1 3 4 5 JISJIS X 0208 : 1997 JIS 4 JIS X 0213:2004 http://www.pref.hiroshima.lg.jp/site/monjokan/ 1... 1 2... 1 1... 1 2... 2 3... 2 4... 4 5... 4 6... 4 7... 22
More information1 (1) () (3) I 0 3 I I d θ = L () dt θ L L θ I d θ = L = κθ (3) dt κ T I T = π κ (4) T I κ κ κ L l a θ L r δr δl L θ ϕ ϕ = rθ (5) l
1 1 ϕ ϕ ϕ S F F = ϕ (1) S 1: F 1 1 (1) () (3) I 0 3 I I d θ = L () dt θ L L θ I d θ = L = κθ (3) dt κ T I T = π κ (4) T I κ κ κ L l a θ L r δr δl L θ ϕ ϕ = rθ (5) l : l r δr θ πrδr δf (1) (5) δf = ϕ πrδr
More information1 B () Ver 2014 0 2014/10 2015/1 http://www-cr.scphys.kyoto-u.ac.jp/member/tsuru/lecture/... 1. ( ) 2. 3. 3 1 7 1.1..................................................... 7 1.2.............................................
More informationx A Aω ẋ ẋ 2 + ω 2 x 2 = ω 2 A 2. (ẋ, ωx) ζ ẋ + iωx ζ ζ dζ = ẍ + iωẋ = ẍ + iω(ζ iωx) dt dζ dt iωζ = ẍ + ω2 x (2.1) ζ ζ = Aωe iωt = Aω cos ωt + iaω sin
2 2.1 F (t) 2.1.1 mẍ + kx = F (t). m ẍ + ω 2 x = F (t)/m ω = k/m. 1 : (ẋ, x) x = A sin ωt, ẋ = Aω cos ωt 1 2-1 x A Aω ẋ ẋ 2 + ω 2 x 2 = ω 2 A 2. (ẋ, ωx) ζ ẋ + iωx ζ ζ dζ = ẍ + iωẋ = ẍ + iω(ζ iωx) dt dζ
More information7-12.dvi
26 12 1 23. xyz ϕ f(x, y, z) Φ F (x, y, z) = F (x, y, z) G(x, y, z) rot(grad ϕ) rot(grad f) H(x, y, z) div(rot Φ) div(rot F ) (x, y, z) rot(grad f) = rot f x f y f z = (f z ) y (f y ) z (f x ) z (f z )
More information長崎県地域防災計画
i ii iii iv v vi vii viii ix - 1 - - 2 - - 3 - - 4 - - 5 - - 6 - - 7 - - 8 - - 9 - 玢 - 10 - - 11 - - 12 - - 13 - - 14 - - 15 - - 16 - - 17 - - 18 - - 19 - - 20 - - 21 - - 22 - - 23 - - 24 - - 25 - -
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 information四校_目次~巻頭言.indd
107 25 1 2016 3 Key Words : A 114 67 58.84 Mann-Whitney 6 1. 2. 3. 4. 5. 6. I. 21 4 B 23 11 1 9 8 7 23456 108 25 1 2016 3 78 9 II. III. IV. 1. 24 4 A 114 2. 24 5 6 3. 4. 5. 3 42 5 16 6 22 5 4 4 4 3 6.
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 informationVB-C50i/VB-C50iR 使用説明書
a ii iii iv a v vi vii viii d a a d ix a a d b a a a b x a a g a g a e a a xi a a a xii a a xiii xiv 1-2 1-3 d 1-4 1-5 1-6 1-7 1-8 1-9 1-10 1-11 1-12 2-2 2-3 a 2-4 a 2-5 a 2-6 2-7 2-8 2-9 2-10 2-11 2-12
More information™…
i 1 1 1 2 3 5 5 6 7 9 10 11 13 13 14 15 15 16 17 18 20 20 20 21 22 ii CONTENTS 23 24 26 27 2 31 31 32 32 33 34 37 37 38 39 39 40 42 42 43 44 45 48 50 51 51 iii 54 57 58 60 60 62 64 64 67 69 70 iv 70 71
More information168 13 Maxwell ( H ds = C S rot H = j + D j + D ) ds (13.5) (13.6) Maxwell Ampère-Maxwell (3) Gauss S B 0 B ds = 0 (13.7) S div B = 0 (13.8) (4) Farad
13 Maxwell Maxwell Ampère Maxwell 13.1 Maxwell Maxwell E D H B ε 0 µ 0 (1) Gauss D = ε 0 E (13.1) B = µ 0 H. (13.2) S D = εe S S D ds = ρ(r)dr (13.3) S V div D = ρ (13.4) ρ S V Coulomb (2) Ampère C H =
More informationMOSFET 6-2 CMOS 6-2 TTL Transistor Transistor Logic ECL Emitter Coupled Logic I2L Integrated
1 -- 7 6 2011 11 1 6-1 MOSFET 6-2 CMOS 6-2 TTL Transistor Transistor Logic ECL Emitter Coupled Logic I2L Integrated Injection Logic 6-3 CMOS CMOS NAND NOR CMOS 6-4 6-5 6-1 6-2 CMOS 6-3 6-4 6-5 c 2011 1/(33)
More informationdevicemondai
c 2019 i 3 (1) q V I T ε 0 k h c n p (2) T 300 K (3) A ii c 2019 i 1 1 2 13 3 30 4 53 5 78 6 89 7 101 8 112 9 116 A 131 B 132 c 2019 1 1 300 K 1.1 1.5 V 1.1 qv = 1.60 10 19 C 1.5 V = 2.4 10 19 J (1.1)
More information<4D F736F F D B B83578B6594BB2D834A836F815B82D082C88C602E646F63>
スピントロニクスの基礎 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/077461 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 1 2 ii 3 5 4 AMR (anisotropic magnetoresistance effect) GMR (giant magnetoresistance
More information活用ガイド (ハードウェア編)
(Windows 98) 808-877675-122-A ii iii iv NEC Corporation 1999 v vi PART 1 vii viii PART 2 PART 3 ix x xi xii P A R T 1 2 1 3 4 1 5 6 1 7 8 1 9 10 11 1 12 1 1 2 3 13 1 2 3 14 4 5 1 15 1 1 16 1 17 18 1 19
More information.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
NHK 204 2 0 203 2 24 ( ) 7 00 7 50 203 2 25 ( ) 7 00 7 50 203 2 26 ( ) 7 00 7 50 203 2 27 ( ) 7 00 7 50 I. ( ν R n 2 ) m 2 n m, R = e 2 8πε 0 hca B =.09737 0 7 m ( ν = ) λ a B = 4πε 0ħ 2 m e e 2 = 5.2977
More informationi
007 0 1 i 0 1 0.1..................................... 1 0.................................................. 1 0.3................................ 3 0.4............................................. 3 1
More informationi ii iii iv v vi vii viii ix x - 1 - - 2 - - 3 - - 4 - - 5 - - 6 - - 7 - - 8 - - 9 - - 10 - - 11 - - 12 - - 13 - - 14 - - 15 - - 16 - - 17 - - 18 - - 19 - - 20 - - 21 - - 22 - - 23 - - 24 - - 25 - -
More informationi
009 I 1 8 5 i 0 1 0.1..................................... 1 0.................................................. 1 0.3................................. 0.4........................................... 3
More information128 3 II S 1, S 2 Φ 1, Φ 2 Φ 1 = { B( r) n( r)}ds S 1 Φ 2 = { B( r) n( r)}ds (3.3) S 2 S S 1 +S 2 { B( r) n( r)}ds = 0 (3.4) S 1, S 2 { B( r) n( r)}ds
127 3 II 3.1 3.1.1 Φ(t) ϕ em = dφ dt (3.1) B( r) Φ = { B( r) n( r)}ds (3.2) S S n( r) Φ 128 3 II S 1, S 2 Φ 1, Φ 2 Φ 1 = { B( r) n( r)}ds S 1 Φ 2 = { B( r) n( r)}ds (3.3) S 2 S S 1 +S 2 { B( r) n( r)}ds
More information1... 1 1... 1 2... 1 3... 1 4... 4 5... 7 6... 7 7... 12 8... 12 9... 13 10... 13 11... 13 12... 14 2... 14 1... 14 2... 16 3... 18 4... 19 5... 19 6.
3 2620149 1 3 8 3 2 198809 1/1 198809 1 1 3 4 5 JISJIS X 0208 : 1997 JIS 4 JIS X 0213:2004 http://www.pref.hiroshima.lg.jp/site/monjokan/ 1... 1 1... 1 2... 1 3... 1 4... 4 5... 7 6... 7 7... 12 8... 12
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. 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 informationI 12 1 26 4 23 42 1 12 2 12 3 12 4 13 5 13 6 13 7 13 8 14 9 14 10 14 11 14 2 26 3 26 10 27 28 11 28 12 28 13 28 VI 29 1 29 1 29 34 5 35 6 35 7 35 8 35 9 36 10 36 11 36 12 36 1 42 2 42 24 43 25 43 26 43
More information18 2 F 12 r 2 r 1 (3) Coulomb km Coulomb M = kg F G = ( ) ( ) ( ) 2 = [N]. Coulomb
r 1 r 2 r 1 r 2 2 Coulomb Gauss Coulomb 2.1 Coulomb 1 2 r 1 r 2 1 2 F 12 2 1 F 21 F 12 = F 21 = 1 4πε 0 1 2 r 1 r 2 2 r 1 r 2 r 1 r 2 (2.1) Coulomb ε 0 = 107 4πc 2 =8.854 187 817 10 12 C 2 N 1 m 2 (2.2)
More informationuntitled
I...1 II...2...2 III...3...3...7 IV...15...15...20 V...23...23...24...25 VI...31...31...32...33...40...47 VII...62...62...67 VIII...70 1 2 3 4 m 3 m 3 m 3 m 3 m 3 m 3 5 6 () 17 18 7 () 17 () 17 8 9 ()
More information7 i 7 1 2 3 4 5 6 ii 7 8 9 10 11 1 12 13 14 iii.......................................... iv................................................ 21... 1 v 3 6 7 3 vi vii viii ix x xi xii xiii xiv xv 26 27
More information( 12 ( ( ( ( Levi-Civita grad div rot ( ( = 4 : 6 3 1 1.1 f(x n f (n (x, d n f(x (1.1 dxn f (2 (x f (x 1.1 f(x = e x f (n (x = e x d dx (fg = f g + fg (1.2 d dx d 2 dx (fg = f g + 2f g + fg 2... d n n
More information9 i 9 1 2 3 4 5 6 ii 7 8 9 10 11 12 .......................................... iii ... 1... 1........................................ 9 iv... v 3 8 9 3 vi vii viii ix x xi xii xiii xiv 34 35 22 1 2 1
More informationi ii iii iv v vi vii viii ix x xi xii xiii xiv xv xvi 2 3 4 5 6 7 $ 8 9 10 11 12 13 14 15 16 17 $ $ $ 18 19 $ 20 21 22 23 24 25 26 27 $$ 28 29 30 31 $ $ $ 32 33 34 $ 35 $ 36 $ 37 38 39 40 $ 41 42 43 44
More information25 7 18 1 1 1.1 v.s............................. 1 1.1.1.................................. 1 1.1.2................................. 1 1.1.3.................................. 3 1.2................... 3
More informationW u = u(x, t) u tt = a 2 u xx, a > 0 (1) D := {(x, t) : 0 x l, t 0} u (0, t) = 0, u (l, t) = 0, t 0 (2)
3 215 4 27 1 1 u u(x, t) u tt a 2 u xx, a > (1) D : {(x, t) : x, t } u (, t), u (, t), t (2) u(x, ) f(x), u(x, ) t 2, x (3) u(x, t) X(x)T (t) u (1) 1 T (t) a 2 T (t) X (x) X(x) α (2) T (t) αa 2 T (t) (4)
More information1
1 1 7 1.1.................................. 11 2 13 2.1............................ 13 2.2............................ 17 2.3.................................. 19 3 21 3.1.............................
More information画像情報処理の基礎
AI artificial intelligencedeep learning; OpenCV C MATLAB Python ii 1 1 10 11 14 2019 3 1. 1.1... 1 1.2... 2 1.2.1 3... 2 1.2.2... 2 1.2.3... 2 1.3... 3 1.3.1 RGB... 3 1.3.2 YIQ... 3 1.3.3 HSI... 3 1.3.4
More information006 11 8 0 3 1 5 1.1..................... 5 1......................... 6 1.3.................... 6 1.4.................. 8 1.5................... 8 1.6................... 10 1.6.1......................
More information2013 25 9 i 1 1 1.1................................... 1 1.2........................... 2 1.3..................................... 3 1.4..................................... 4 2 6 2.1.................................
More informationUntitled
II 14 14-7-8 8/4 II (http://www.damp.tottori-u.ac.jp/~ooshida/edu/fluid/) [ (3.4)] Navier Stokes [ 6/ ] Navier Stokes 3 [ ] Reynolds [ (4.6), (45.8)] [ p.186] Navier Stokes I 1 balance law t (ρv i )+ j
More informationOHO.dvi
1 Coil D-shaped electrodes ( [1] ) Vacuum chamber Ion source Oscillator 1.1 m e v B F = evb (1) r m v2 = evb r v = erb (2) m r T = 2πr v = 2πm (3) eb v
More information困ったときのQ&A
ii iii iv NEC Corporation 1998 v C O N T E N T S PART 1 vi vii viii ix x xi xii PART 2 xiii PART 3 xiv P A R T 1 3 1 2 PART 3 4 2 1 1 2 4 3 PART 1 4 5 5 6 PART 1 7 8 PART 1 9 1 2 3 1 2 3 10 PART 1 1 2
More information. p.1/14
. p.1/14 F(x,y) = (F 1 (x,y),f 2 (x,y)) (x,y). p.2/14 F(x,y) = (F 1 (x,y),f 2 (x,y)) (x,y) (x,y) h. p.2/14 F(x,y) = (F 1 (x,y),f 2 (x,y)) (x,y) (x,y) h h { F 2 (x+ h,y) F 2 2(x h,y) F 2 1(x,y+ h)+f 2 1(x,y
More information12 2 E ds = 1 ρdv ε 1 µ D D S S D B d S = 36 E d B l = S d S B d l = S ε E + J d S 4 4 div E = 1 ε ρ div B = rot E = B 1 rot µ E B = ε + J 37 3.2 3.2.
213 12 1 21 5 524 3-5465-74 nkiyono@mail.ecc.u-tokyo.ac.jp http://lecture.ecc.u-tokyo.ac.jp/~nkiyono/index.html 3 2 1 3.1 ρp, t EP, t BP, t JP, t 35 P t xyz xyz t 4 ε µ D D S S 35 D H D = ε E B = µ H E
More information( )
7..-8..8.......................................................................... 4.................................... 3...................................... 3..3.................................. 4.3....................................
More informationThe Physics of Atmospheres CAPTER :
The Physics of Atmospheres CAPTER 4 1 4 2 41 : 2 42 14 43 17 44 25 45 27 46 3 47 31 48 32 49 34 41 35 411 36 maintex 23/11/28 The Physics of Atmospheres CAPTER 4 2 4 41 : 2 1 σ 2 (21) (22) k I = I exp(
More informationS I. dy fx x fx y fx + C 3 C vt dy fx 4 x, y dy yt gt + Ct + C dt v e kt xt v e kt + C k x v k + C C xt v k 3 r r + dr e kt S Sr πr dt d v } dt k e kt
S I. x yx y y, y,. F x, y, y, y,, y n http://ayapin.film.s.dendai.ac.jp/~matuda n /TeX/lecture.html PDF PS yx.................................... 3.3.................... 9.4................5..............
More information3345 チュートリアル 1 HP テンソル代数 テンソル解析 - - 連続体力学の数理的基礎 - 第 4 講テンソル解析 - テンソル場の微積分 - 登坂宣好 第 4 講概要 2, 3 1 筆者紹介 1971 Engineering Science gradient divergence rota
3345 チュートリアル 1 HP テンソル代数 テンソル解析 - - 連続体力学の数理的基礎 - 第 4 講テンソル解析 - テンソル場の微積分 - 登坂宣好 第 4 講概要 2, 3 1 筆者紹介 1971 Engineering cience gradient divergence rotation nabla 3 1 2 3 4 5 6 ol.20, No.4 2015 27 1 [1,2]
More information2009 IA I 22, 23, 24, 25, 26, a h f(x) x x a h
009 IA I, 3, 4, 5, 6, 7 7 7 4 5 h fx) x x h 4 5 4 5 1 3 1.1........................... 3 1........................... 4 1.3..................................... 6 1.4.............................. 8 1.4.1..............................
More informationhttp://www.ike-dyn.ritsumei.ac.jp/ hyoo/wave.html 1 1, 5 3 1.1 1..................................... 3 1.2 5.1................................... 4 1.3.......................... 5 1.4 5.2, 5.3....................
More informationF S S S S S S S 32 S S S 32: S S rot F ds = F d l (63) S S S 0 F rot F ds = 0 S (63) S rot F S S S S S rot F F (63)
211 12 1 19 2.9 F 32 32: rot F d = F d l (63) F rot F d = 2.9.1 (63) rot F rot F F (63) 12 2 F F F (63) 33 33: (63) rot 2.9.2 (63) I = [, 1] [, 1] 12 3 34: = 1 2 1 2 1 1 = C 1 + C C 2 2 2 = C 2 + ( C )
More information( : December 27, 2015) CONTENTS I. 1 II. 2 III. 2 IV. 3 V. 5 VI. 6 VII. 7 VIII. 9 I. 1 f(x) f (x) y = f(x) x ϕ(r) (gradient) ϕ(r) (gradϕ(r) ) ( ) ϕ(r)
( : December 27, 215 CONTENTS I. 1 II. 2 III. 2 IV. 3 V. 5 VI. 6 VII. 7 VIII. 9 I. 1 f(x f (x y f(x x ϕ(r (gradient ϕ(r (gradϕ(r ( ϕ(r r ϕ r xi + yj + zk ϕ(r ϕ(r x i + ϕ(r y j + ϕ(r z k (1.1 ϕ(r ϕ(r i
More information/Volumes/NO NAME/gakujututosho/chap1.tex i
2010 4 8 /Volumes/NO NAME/gakujututosho/chap1.tex i iii 1 5 1.1............................... 5 2 9 2.1........................................... 9 2.2................................... 16 2.3...................................
More informationUntitled
23 1 11 A 2 A.1..................................... 2 A.2.................................. 4 A.3............................... 5 A.4.................................... 6 A.5.......................
More information1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 () - 1 - - 2 - - 3 - - 4 - - 5 - 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57
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 informationII ( ) (7/31) II ( [ (3.4)] Navier Stokes [ (6/29)] Navier Stokes 3 [ (6/19)] Re
II 29 7 29-7-27 ( ) (7/31) II (http://www.damp.tottori-u.ac.jp/~ooshida/edu/fluid/) [ (3.4)] Navier Stokes [ (6/29)] Navier Stokes 3 [ (6/19)] Reynolds [ (4.6), (45.8)] [ p.186] Navier Stokes I Euler Navier
More informationS I. dy fx x fx y fx + C 3 C dy fx 4 x, y dy v C xt y C v e kt k > xt yt gt [ v dt dt v e kt xt v e kt + C k x v + C C k xt v k 3 r r + dr e kt S dt d
S I.. http://ayapin.film.s.dendai.ac.jp/~matuda /TeX/lecture.html PDF PS.................................... 3.3.................... 9.4................5.............. 3 5. Laplace................. 5....
More informationi
i KEY WORDS CASE CHECK POINT EXERCISE Column ii 4 6 9 11 1 5 7 8 2 3 10 12 MESSAGE iii 1 1 23 4 2 56 3 2 5 8 11 CASE 12 1 2 3 181920 20 4 2223 232425 5 6 14 16 18 22 25 27 29 CASE 30 1 31 3233 2 31 34
More information(報告書まとめ 2004/03/ )
- i - ii iii iv v vi vii viii ix x xi 1 Shock G( Invention) (Property rule) (Liability rule) Impact flow 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 (
More information