1320M/161320M
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4 " # $ %! θθ v m g y v θ O v α x! O x y x α x y y
5 " v # v sinα $ & v cosα ' v cosα v sinα ( v cosα % v sinα " g # gsinθ $ g sinθ ' g ( gsinθ ) g sinθ % gcosθ & g cosθ * gcosθ! g cosθ xy y L v g x xy L α " sinα # sinα $ sinα ' cosα ( cosα ) cosα + tanα, tanα - tanα % sinα sinθ * cosα cosθ. sin α sinθ & sinθ sinα! cosθ cosα / sin α cosθ
6 ) ( xy α v m xy L m y v x v α v θ O L * yl v! v " v sinα # % v cosα & v cosα ' v sinα v cosα $ v sinα x x m m x xy L L L LL L
7 4 xy L m 3 x xy L L L " m mm # m mm $ m mm % m mm & m mm ' m mm ( mm mm ) mm mm *! + mm mm, mm mm - mm mm. mm mm / mm mm 0 mm mm 1 mm mm 2 mm mm
8 ' lm Sm vms nm e C ( A ts QC I A s A vtm ts A S t s S A vt - A A QC l I A! Q t " Q t # Q t $ Qt % Qt & Qt! envs " S env # ns ev $ ev ns % env S & envs vms m mm A v ms
9 " # $ % & ' ( ), + VV S - v vms V l kvnk v ms I VA " V k # V ks $ V kl % Vl k & Vl ks ' ev k ( ev ks ) ev kl * evl k! evl ks " ne S k # ne ls k $ ne S kl % ne kls & k ne S ' k ne ls ( kl ne S ) kls ne
10 " # $ % & ' ( ) + ts ts J ts J " Vl # Vvt $ Vvt l ' evl ( evvt ) evvt l % Vl t * evl t & Vl vt! evl vt " I V # V I $ I V % IV & IV ' I V t ( V I t ) I Vt * IV t! IVt
11 ) Lm mkg y L L O v S x z L!! vv x v y v z msv *,!v x v y v z + - ms x S v x v y v z v x v y v z S Ns S S ss S S N! mv x " mv x # mv x $ mv x % mv x & mv x ' mv x ( mv x
12 " Lv x # L v x $ v x L & Lv x * Lv x ' L v x ( v x L! L v x + v x L % Lv x ) Lv x, Lv x " mv x L # mv x L $ mv x L % mv x L & mv x L ' mv x L ( mv x L ) mv x L - Nv v v x v y v z S N P Pa RJmolK N A mol TK Vm PV N mv v ms " Nmv L # Nmv L $ Nmv L % Nmv L & Nmv L ' Nmv L ( Nmv L
13 " Nmv L # Nmv L $ Nmv L % Nmv L & Nmv L ' Nmv ( Nmv ) Nmv L L L * Nmv L! Nmv L + Nmv, Nmv - Nmv L L L. Nmv L / Nmv L " RT N A ' N A RT # RT N A $ RT N A ( N A RT ) N A RT % RT N A * N A RT & RT N A! N A RT "!RT N A m #!RT N A m $!RT N A m %!RT N A m &!RT N A m '!RT N A m (!RT N A m
14 ! mol kgmoljmolk ms
15 ! HNONaCl K g g g g g " # $ % & ' " # $ % & ' ( ) *! +, -. /
16 gml JgKg g kj! NaOH aq NaOHaq kj! mollml kj " NaOHaq HClaq NaClaq H O kj "!"moll ml g! " # $ % & ' ( )! "
17 " # $ % & ' ( ) *! +, -. / " # $ % & ' ( ) * " # $ % & ' ( ) *! +, Pa L g g Pa ml g g " # $ % & ' ( ) *! +, -.
18 + Al Cmol mol L! Al e./ Al! A C mol g " # $ % & " # $ % & ' ( ) *!, - " # $ % & ' ( ) *!
19 " # $ % & ' ( ) *! +, -.! " Al HCl /0! Al NaOH H O /0 " g ml moll kg L " # $ % & ' " AlCl # Al O $ AlOH % Cl & H ' HCl ( NaAlOH ) O
20 " # $ % & ' ( ) " # $ % & ' ( ) *! +, -. / " # $ % " # $ % " # $ % " # $ % &
21 ! Cl Cl Fe OH CO H O H SO NaOH CO H SO HNO H SO SnHCl NaOH H Ni
22 " # $ % & ' ( ) *! +, -. / " # $ % & ' ( ) *! +, -
23 " # p $ % & ' ( ) *! " # $ % & " # $ % " # $ %
24 ! " # $!
25 " # $ % & ' ( ) *! +, -. " # $ % & ' ( )
26 m! " # $
27 ( ' & % $ # "! X A A
28 ! " # $ % & ' ( )! " # $ % & ' ( A A A A E E E E
29 cm cmcm cm cm cm cm " # $ % & ' ( ) *!
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31 !! " #! " # $ DDT % D &
32 " # $ % & ' ( ) *! +, -. / PIN " # $ % & ' ( ) *! +, -. /
33 " # $ % & ' ( ) *! +, -. /
34 P Q P Q P Q W P P W Q Q W P Q P P W Q Q W P Q P
35 Q " # $ % & ' ( ) *! +, -
36 ! C CO N N N
37 " # $ % & ' ( ) *! +, -. / 0 " # $ % & ' ( ) *! +, -. /
38 DNA " # $ % & ' ( ) *! +, -. / N " # $ % & ' ( ) *! +, -. /
39 " # $ % & ' ( ) *! +, -. /
40 km kgm kgm
41 " # $ % & ' ( ) *! +, -. / C H O CO kg kg HCO CO H O 01 C H O O H O " # $ % & ' ( ) *! +,
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2142B/152142B
! EFGH FIJG EFGH O m A kg A lm knm Q m B kg B m B m A A B gms x y z P Q R S T U y xz S T U D F G y F I G J z F I G J D J H G U A I y z x u O d α B P Q R S T F D E A um O ωrads u m A l kω! m A l kω m A
無印良品 2012 自転車 カタログ
26 897895321,000 140cm 76.0cm 16.0kg H LED 3 263 897896025,000 140cm 76.0cm 16.5kg H 3 LED 20 8978984 8978977 19,800 134cm 73.0cm 15.0kg LED 2620 2620 8486656550 5536207483 14512372,100 8279999840 26 77342561,417
1. 4cm 16 cm 4cm 20cm 18 cm L λ(x)=ax [kg/m] A x 4cm A 4cm 12 cm h h Y 0 a G 0.38h a b x r(x) x y = 1 h 0.38h G b h X x r(x) 1 S(x) = πr(x) 2 a,b, h,π
. 4cm 6 cm 4cm cm 8 cm λ()=a [kg/m] A 4cm A 4cm cm h h Y a G.38h a b () y = h.38h G b h X () S() = π() a,b, h,π V = ρ M = ρv G = M h S() 3 d a,b, h 4 G = 5 h a b a b = 6 ω() s v m θ() m v () θ() ω() dθ()
物理化学I-第11回(13).ppt
I- 11-1 10 10.5 H 3 O + (aq) + OH (aq) + Na + (aq) + Cl (aq) Na + (aq) + Cl (aq) + 2H 2 O(l) - or - [A] V A = [B] V B 22 mol dm 3 equiv dm 3 - H 2 SO 4 (aq) + 2NaOH(aq) 2Na + (aq) + SO 4 2 (aq) + 2H 2
後期化学_04_酸塩基pH
2011 ( ) ph H3O + H + H3O + HCl H3O + HCl + H2O H3O + + Cl HCl H + + Cl OH OH NaOH OH NaOH Na + + OH NH3 OH NH3 + H2O NH4 + + OH 1 H + OH H + H + * 1 NH3 HCl NH4Cl NH4Cl NH3 + Cl NH3 + HCl NH4 + + Cl.
2 Zn Zn + MnO 2 () 2 O 2 2 H2 O + O 2 O 2 MnO 2 2 KClO 3 2 KCl + 3 O 2 O 3 or 3 O 2 2 O 3 N 2 () NH 4 NO 2 2 O + N 2 ( ) MnO HCl Mn O + CaCl(ClO
1 [1]. Zn + 2 H + Zn 2+,. K Ca Na Mg Al Zn Fe Ni Sn Pb H Cu Hg Ag Pt Au H (H + ),,. [2] ( ) ( ) CO 2, S, SO 2, NH 3 () + () () + () FeS Fe S ( ) + ( ) ( ) + ( ) 2 NH 4 Cl + Ca(OH) 2 Ca O + 2 NH 3,.,,.,,.,.
温泉の化学 1
H O 1,003 516 149 124 2,237 1974 90 110 1km 2,400 ( 100 Mg 200 (98 ) 43,665 mg 38,695 mg 19,000 mg 2000 2000 Na-Ca-Cl 806 1970 1989 10 1991 4 ph 1 981 10,000 1993... (^^; (SO_4^{2-}) " " 1973-1987 1970
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( ) c a sin b c b c a cos a c b c a tan b a b cos sin a c b c a ccos b csin (4) Ma k Mg a (Gal) g(98gal) (Gal) a max (K-E) kh Zck.85.6. 4 Ma g a k a g k D τ f c + σ tanφ σ 3 3 /A τ f3 S S τ A σ /A σ /A
H22応用物理化学演習1_濃度.ppt
1 2 4/12 4/19 4/27 5/10 5/17 5/24 5/31 (20 ) (20 ) (10 ) (50 ) 3 (mole fraction) X = (mol) (mol) i n 1, n 2,, n x N i X i = n i = n i n 1 + n 2 + + n x N 4 (molarity, M) 1 dm 3 ( L) (mol) (mol/l) = 1 L
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
一休デイサービスセンター
2770105472 2770105472 2776300135 2776300135 - - 072-274-7219 072-204-7319 http://www.19day.jp/ 072-274-7219 072-204-7319 http://www.19day.jp/ 2007 11 1 45 2007 11 1 45 11 12 4km 10 11 -2- 3-3 - 4 - 5 11
(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
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 = 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
8 300 mm 2.50 m/s L/s ( ) 1.13 kg/m MPa 240 C 5.00mm 120 kpa ( ) kg/s c p = 1.02kJ/kgK, R = 287J/kgK kPa, 17.0 C 118 C 870m 3 R = 287J
26 1 22 10 1 2 3 4 5 6 30.0 cm 1.59 kg 110kPa, 42.1 C, 18.0m/s 107kPa c p =1.02kJ/kgK 278J/kgK 30.0 C, 250kPa (c p = 1.02kJ/kgK, R = 287J/kgK) 18.0 C m/s 16.9 C 320kPa 270 m/s C c p = 1.02kJ/kgK, R = 292J/kgK
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 =
平成9年度水道事業年報 1概況 2施設
() (mm) 12 3 31 12 3 31 4 5 6 7 8 9 10 11 12 1 2 3 145,085 146,117 146,352 146,409 146,605 146,685 146,807 147,014 147,002 147,277
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( ) 2006 7 20 i 21 1962 1969 1987 1992 2005 65 1972 1977 1997 1977 1998 1982 1998 2002 2004 2005 SPP 1999 ii 1 g cm m 6378km ( ) 4.2, 4.3 5.1 7.1 8.1 4.1 7.3, 7.4 7.1 1 2 7.1 8.2 2 5 6 1, 2 2.3 4.2, 4.3
ma22-9 u ( v w) = u v w sin θê = v w sin θ u cos φ = = 2.3 ( a b) ( c d) = ( a c)( b d) ( a d)( b c) ( a b) ( c d) = (a 2 b 3 a 3 b 2 )(c 2 d 3 c 3 d
A 2. x F (t) =f sin ωt x(0) = ẋ(0) = 0 ω θ sin θ θ 3! θ3 v = f mω cos ωt x = f mω (t sin ωt) ω t 0 = f ( cos ωt) mω x ma2-2 t ω x f (t mω ω (ωt ) 6 (ωt)3 = f 6m ωt3 2.2 u ( v w) = v ( w u) = w ( u v) ma22-9
km2 km2 km2 km2 km2 22 4 H20 H20 H21 H20 (H22) (H22) (H22) L=600m L=430m 1 H14.04.12 () 1.6km 2 H.14.05.31 () 3km 3 4 5 H.15.03.18 () 3km H.15.06.20 () 1.1km H.15.06.30 () 800m 6 H.15.07.18
http://www.ns.kogakuin.ac.jp/~ft13389/lecture/physics1a2b/ pdf I 1 1 1.1 ( ) 1. 30 m µm 2. 20 cm km 3. 10 m 2 cm 2 4. 5 cm 3 km 3 5. 1 6. 1 7. 1 1.2 ( ) 1. 1 m + 10 cm 2. 1 hr + 6400 sec 3. 3.0 10 5 kg
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.m 5m :.45.4m.m 3.m.6m (N/mm ).8.6 σ.4 h.m. h.68m h(m) b.35m θ4..5.5.5 -. σ ta.n/mm c 3kN/m 3 w 9.8kN/m 3 -.4 ck 6N/mm -.6 σ -.8 3 () :. 4 5 3.75m :. 7.m :. 874mm 4 865mm mm/ :. 7.m 4.m 4.m 6 7 4. 3.5
P F ext 1: F ext P F ext (Count Rumford, ) H 2 O H 2 O 2 F ext F ext N 2 O 2 2
1 1 2 2 2 1 1 P F ext 1: F ext P F ext (Count Rumford, 1753 1814) 0 100 H 2 O H 2 O 2 F ext F ext N 2 O 2 2 P F S F = P S (1) ( 1 ) F ext x W ext W ext = F ext x (2) F ext P S W ext = P S x (3) S x V V
) 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
[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
Note.tex 2008/09/19( )
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006 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......................
4 4 θ X θ P θ 4. 0, 405 P 0 X 405 X P 4. () 60 () 45 () 40 (4) 765 (5) 40 B 60 0 P = 90, = ( ) = X
4 4. 4.. 5 5 0 A P P P X X X X +45 45 0 45 60 70 X 60 X 0 P P 4 4 θ X θ P θ 4. 0, 405 P 0 X 405 X P 4. () 60 () 45 () 40 (4) 765 (5) 40 B 60 0 P 0 0 + 60 = 90, 0 + 60 = 750 0 + 60 ( ) = 0 90 750 0 90 0
NETES No.CG V
1 2006 6 NETES No.CG-050001-V 2007 5 2 1 2 1 19 5 1 2 19 8 2 i 1 1 1.1 1 1.2 2 1.3 2 2 3 2.1 3 2.2 8 3 9 3.1 9 3.2 10 3.3 13 3.3.1 13 3.3.2 14 3.3.3 14 3.3.4 16 3.3.5 17 3.3.6 18 3.3.7 21 3.3.8 22 3.4
2 3 4 mdv/dt = F cos(-)-mg sin- D -T- B cos mv d/dt = F sin(-)-mg cos+ L- B sin I d 2 /dt 2 = Ms + Md+ Mn FMsMd MnBTm DLg 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 Hm H h
2006年3月8日
18 21 1990 2004 2 2005 14 15 2004 1990 2005 2003 300 7 2 1 2005 1972 100 40 6 1972 2004 197 6,500 2004 21 59 100 65 2007 5 2005 30 1.8 535.89 348.33 187.56 2006 2006 5 1 30 1 30 46 46 1 46 1000kl 4 1 100kl
高等学校学習指導要領解説 数学編
5 10 15 20 25 30 35 5 1 1 10 1 1 2 4 16 15 18 18 18 19 19 20 19 19 20 1 20 2 22 25 3 23 4 24 5 26 28 28 30 28 28 1 28 2 30 3 31 35 4 33 5 34 36 36 36 40 36 1 36 2 39 3 41 4 42 45 45 45 46 5 1 46 2 48 3
C:/KENAR/0p1.dvi
2{3. 53 2{3 [ ] 4 2 1 2 10,15 m 10,10 m 2 2 54 2 III 1{I U 2.4 U r (2.16 F U F =, du dt du dr > 0 du dr < 0 O r 0 r 2.4: 1 m =1:00 10 kg 1:20 10 kgf 8:0 kgf g =9:8 m=s 2 (a) x N mg 2.5: N 2{3. 55 (b) x
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m 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
Gmech08.dvi
145 13 13.1 13.1.1 0 m mg S 13.1 F 13.1 F /m S F F 13.1 F mg S F F mg 13.1: m d2 r 2 = F + F = 0 (13.1) 146 13 F = F (13.2) S S S S S P r S P r r = r 0 + r (13.3) r 0 S S m d2 r 2 = F (13.4) (13.3) d 2
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V(x) m e V 0 cos x π x π V(x) = x < π, x > π V 0 (i) x = 0 (V(x) V 0 (1 x 2 /2)) n n d 2 f dξ 2ξ d f 2 dξ + 2n f = 0 H n (ξ) (ii) H
199 1 1 199 1 1. Vx) m e V cos x π x π Vx) = x < π, x > π V i) x = Vx) V 1 x /)) n n d f dξ ξ d f dξ + n f = H n ξ) ii) H n ξ) = 1) n expξ ) dn dξ n exp ξ )) H n ξ)h m ξ) exp ξ )dξ = π n n!δ n,m x = Vx)
(1) PQ (2) () 2 PR = PR P : P = R : R (2) () = P = P R M = XM : = M : M (1) (2) = N = N X M 161 (1) (2) F F = F F F EF = F E
5 1 1 1.1 2 159 O O PQ RS OR P = PQ P O M MQ O (1) M P (2) P : P R : R () PR P 160 > M : = M : M X (1) N = N M // N X M (2) M 161 (1) E = 8 = 4 = = E = (2) : = 2 : = E = E F 5 F EF F E 5 1 159 (1) PQ (2)
cm H.11.3 P.13 2 3-106-
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CuSO POINT S 2 Ni Sn Hg Cu Ag Zn 2 Cu Cu Cu OH 2 Cu NH CuSO 4 5H 2O Ag Ag 2O Ag 2CrO4 Zn ZnS ZnO 2+ Fe Fe OH 2 Fe 3+ Fe OH 3 2 Cu Cu OH 2 Ag Ag
CuSO POINT S 2 Ni Sn Hg Cu Ag Zn 2 CuCu Cu OH 2 Cu NH 3 4 2 CuSO 4 5H 2O AgAg 2O Ag 2CrO4 ZnZnS ZnO 2+ Fe Fe OH 2 Fe 3+ Fe OH 3 2 Cu Cu OH 2 Ag Ag 2O Cl Cl AgCl PbCl 2 Ag Cl AgCl Pb 2 2Cl PbCl2 Cl Hg22
H22環境地球化学4_化学平衡III_ ppt
1 2 3 2009年度 環境地球化学 大河内 温度上昇による炭酸水の発泡 気泡 温度が高くなると 溶けきれなくなった 二酸化炭素が気泡として出てくる 4 2009年度 環境地球化学 圧力上昇による炭酸水の発泡 栓を開けると 瓶の中の圧力が急激に 小さくなるので 発泡する 大河内 5 CO 2 K H CO 2 H 2 O K H + 1 HCO 3- K 2 H + CO 3 2- (M) [CO
3章 問題・略解
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I 1
I 1 1 1.1 1. 3 m = 3 1 7 µm. cm = 1 4 km 3. 1 m = 1 1 5 cm 4. 5 cm 3 = 5 1 15 km 3 5. 1 = 36 6. 1 = 8.64 1 4 7. 1 = 3.15 1 7 1 =3 1 7 1 3 π 1. 1. 1 m + 1 cm = 1.1 m. 1 hr + 64 sec = 1 4 sec 3. 3. 1 5 kg
Gmech08.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
5. 5.1,, V, ,, ( 5.1), 5.2.2,,,,,,,,,, 5.2.3, 5.2 L1, L2, L3 3-1, 2-2, 1-3,,, L1, L3, L2, ,,, ( 5.3),,, N 3 L 2 S L 1 L 3 5.1: 5.2: 1
5. 5.1,,, 5.2 5.2.1,, ( 5.1), 5.2.2,,,,,,,,,, 5.2.3, 5.2 L1, L2, L3 31, 22, 13,,, L1, L3, L2, 0 5.2.4,,, ( 5.3),,, N 3 L 2 S L 1 L 3 5.1: 5.2: 1 D C 1 0 0 A C 2 2 0 j X E 0 5.3: 5.5: f,, (),,,,, 1, 5.2.6
[1.1] r 1 =10e j(ωt+π/4), r 2 =5e j(ωt+π/3), r 3 =3e j(ωt+π/6) ~r = ~r 1 + ~r 2 + ~r 3 = re j(ωt+φ) =(10e π 4 j +5e π 3 j +3e π 6 j )e jωt
3.4.7 [.] =e j(t+/4), =5e j(t+/3), 3 =3e j(t+/6) ~ = ~ + ~ + ~ 3 = e j(t+φ) =(e 4 j +5e 3 j +3e 6 j )e jt = e jφ e jt cos φ =cos 4 +5cos 3 +3cos 6 =.69 sin φ =sin 4 +5sin 3 +3sin 6 =.9 =.69 +.9 =7.74 [.]
○01 那覇市(7月変更)
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 H26,2 H28.2 9 9 38 39 40 41 42 43 l ll 44 45 46 47 48 49 50 51 52 53 54 55 2733 14,500 56 57 58 59
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1 2 (90cm 70cm 2015) 3 (68cm 28cm 30cm 12kg 2015) (77.5 109.5cm 2015) 4 (22cm 50cm 50cm 4.6kg 2015) (45cm 62.5cm 2015) (47.4cm 62.5cm 2014) 5 (28.5cm 23.5cm) (45cm 62cm 2015) (97cm 107cm 2015) 6 7 8 9
6 12 10661 93100 227213202 222208197 85kg cm 20 64.521 106856142 2 1 4 3 9767 100 35 cm 7747 208198 90kg 23 5828 10661 93100 cm 227213202 10639 61 64.521 85kg 78kg 70kg 61 100 197204.5 cm 15 61
180 140 22
21 180 140 22 23 25 50 1 3 350 140 500cm 600 140 24 25 26 27 28 29 30 31 1/12 8.3 1/15 6.7 10 1/8 12.5 1/20 140 90 75 150 60 150 10 30 15 35 2,000 30 32 1 1 1 2 1 3 1 4 1 5 1 6 1 7 1 8 1 9 % 100 50 33.3
10 117 5 1 121841 4 15 12 7 27 12 6 31856 8 21 1983-2 - 321899 12 21656 2 45 9 2 131816 4 91812 11 20 1887 461971 11 3 2 161703 11 13 98 3 16201700-3 - 2 35 6 7 8 9 12 13 12 481973 12 2 571982 161703 11
0.45m1.00m 1.00m 1.00m 0.33m 0.33m 0.33m 0.45m 1.00m 2
24 11 10 24 12 10 30 1 0.45m1.00m 1.00m 1.00m 0.33m 0.33m 0.33m 0.45m 1.00m 2 23% 29% 71% 67% 6% 4% n=1525 n=1137 6% +6% -4% -2% 21% 30% 5% 35% 6% 6% 11% 40% 37% 36 172 166 371 213 226 177 54 382 704 216
2. 2 P M A 2 F = mmg AP AP 2 AP (G > : ) AP/ AP A P P j M j F = n j=1 mm j G AP j AP j 2 AP j 3 P ψ(p) j ψ(p j ) j (P j j ) A F = n j=1 mgψ(p j ) j AP
1. 1 213 1 6 1 3 1: ( ) 2: 3: SF 1 2 3 1: 3 2 A m 2. 2 P M A 2 F = mmg AP AP 2 AP (G > : ) AP/ AP A P P j M j F = n j=1 mm j G AP j AP j 2 AP j 3 P ψ(p) j ψ(p j ) j (P j j ) A F = n j=1 mgψ(p j ) j AP
85 4
85 4 86 Copright c 005 Kumanekosha 4.1 ( ) ( t ) t, t 4.1.1 t Step! (Step 1) (, 0) (Step ) ±V t (, t) I Check! P P V t π 54 t = 0 + V (, t) π θ : = θ : π ) θ = π ± sin ± cos t = 0 (, 0) = sin π V + t +V
1. 2 P 2 (x, y) 2 x y (0, 0) R 2 = {(x, y) x, y R} x, y R P = (x, y) O = (0, 0) OP ( ) OP x x, y y ( ) x v = y ( ) x 2 1 v = P = (x, y) y ( x y ) 2 (x
. P (, (0, 0 R {(,, R}, R P (, O (0, 0 OP OP, v v P (, ( (, (, { R, R} v (, (, (,, z 3 w z R 3,, z R z n R n.,..., n R n n w, t w ( z z Ke Words:. A P 3 0 B P 0 a. A P b B P 3. A π/90 B a + b c π/ 3. +
II No.01 [n/2] [1]H n (x) H n (x) = ( 1) r n! r!(n 2r)! (2x)n 2r. r=0 [2]H n (x) n,, H n ( x) = ( 1) n H n (x). [3] H n (x) = ( 1) n dn x2 e dx n e x2
II No.1 [n/] [1]H n x) H n x) = 1) r n! r!n r)! x)n r r= []H n x) n,, H n x) = 1) n H n x) [3] H n x) = 1) n dn x e dx n e x [4] H n+1 x) = xh n x) nh n 1 x) ) d dx x H n x) = H n+1 x) d dx H nx) = nh
3.300 m m m m m m 0 m m m 0 m 0 m m m he m T m 1.50 m N/ N
3.300 m 0.500 m 0.300 m 0.300 m 0.300 m 0.500 m 0 m 1.000 m 2.000 m 0 m 0 m 0.300 m 0.300 m -0.200 he 0.400 m T 0.200 m 1.50 m 0.16 2 24.5 N/ 3 18.0 N/ 3 28.0 18.7 18.7 14.0 14.0 X(m) 1.000 2.000 20 Y(m)
緑化計画作成の手引き 26年4月版
http://www.city.shibuya.tokyo.jp/env/en_eventact/midori_ryokka.html 10 11 12 13 14 15 16 17 18 19 P10 P10 1 P12 2635 Fax (1) 47 03-5388-3554 http://www2.kankyo.metro.tokyo.jp/sizen/sinseisyo/e2/tebiki.htm
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
