Microsoft PowerPoint - H22コロキウム [互換モード]
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- みひな あいしま
- 7 years ago
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Microsoft PowerPoint - H22コロキウム [互換モード]
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( œ ) œ 2,000,000 20. 4. 1 25. 3.27 44,886,350 39,933,174 4,953,176 9,393,543 4,953,012 153,012 4,800,000 164 164 4,001,324 2,899,583 254,074 847,667 5,392,219 584,884 7,335 4,800,000 153,012 4,800,000
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Ÿ ( ) Ÿ 540,000 980,000 300,000 700,000 1,200,000 1,100,000 1,300,000 980,000 400,000 220,000 280,000 400,000 300,000 220,000 1,300,000 460,000 260,000 400,000 400,000 340,000 600,000 1,500,000 740,000
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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
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( š ) š 13,448 1,243,000 1,249,050 1,243,000 1,243,000 1,249,050 1,249, , , ,885
( š ) 7,000,000 191 191 6,697,131 5,845,828 653,450 197,853 4,787,707 577,127 4,000,000 146,580 146,580 64,000 100,000 500,000 120,000 60,000 60,000 60,000 60,000 60,000 200,000 150,000 60,000 60,000 100,000
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( š ) œ 525, , , , ,000 85, , ,810 70,294 4,542,050 18,804,052 () 178,710 1,385, , ,792 72,547 80,366
( š ) 557,319,095 2,606,960 31,296,746,858 7,615,089,278 2,093,641,212 6,544,698,759 936,080 3,164,967,811 20. 3.28 178,639,037 48,288,439 170,045,571 123,059,601 46,985,970 55,580,709 56,883,178 19. 4.20
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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 =
( ) œ ,475, ,037 4,230,000 4,224,310 4,230,000 4,230,000 3,362,580 2,300, , , , , , ,730 64,250 74
Ÿ ( ) œ 1,000,000 120,000 1,000,000 1,000,000 120,000 108,000 60,000 120,000 120,000 60,000 240,000 120,000 390,000 1,000,000 56,380,000 15. 2.13 36,350,605 3,350,431 33,000,174 20,847,460 6,910,000 2,910,000
Ÿ ( ) Ÿ 7,488,161,218 7,396,414,506 91,708,605 38,107 4,376,047 2,037,557,517 1,000,000 i 200,000,000 1,697,600, ,316.63fl 306,200,000 14
Ÿ ( ) (Ÿ ) Ÿ J lllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll ¾ 17 18. 3.30 24,222,550,856 8,088,715,093 16,133,835,763 14,673,176,237 (400,000) 1,265,253,000 201,000,000 1,000,000 200,000,000
( ) g 900,000 2,000,000 5,000,000 2,200,000 1,000,000 1,500, ,000 2,500,000 1,000, , , , , , ,000 2,000,000
( ) 73 10,905,238 3,853,235 295,309 1,415,972 5,340,722 2,390,603 890,603 1,500,000 1,000,000 300,000 1,500,000 49 19. 3. 1 17,172,842 3,917,488 13,255,354 10,760,078 (550) 555,000 600,000 600,000 12,100,000
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y = x x R = 0. 9, R = σ $ = y x w = x y x x w = x y α ε = + β + x x x y α ε = + β + γ x + x x x x' = / x y' = y/ x y' =
y x = α + β + ε =,, ε V( ε) = E( ε ) = σ α $ $ β w ( 0) σ = w σ σ y α x ε = + β + w w w w ε / w ( w y x α β ) = α$ $ W = yw βwxw $β = W ( W) ( W)( W) w x x w x x y y = = x W y W x y x y xw = y W = w w
7 π L int = gψ(x)ψ(x)φ(x) + (7.4) [ ] p ψ N = n (7.5) π (π +,π 0,π ) ψ (σ, σ, σ )ψ ( A) σ τ ( L int = gψψφ g N τ ) N π * ) (7.6) π π = (π, π, π ) π ±
7 7. ( ) SU() SU() 9 ( MeV) p 98.8 π + π 0 n 99.57 9.57 97.4 497.70 δm m 0.4%.% 0.% 0.8% π 9.57 4.96 Σ + Σ 0 Σ 89.6 9.46 K + K 0 49.67 (7.) p p = αp + βn, n n = γp + δn (7.a) [ ] p ψ ψ = Uψ, U = n [ α
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. 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()
(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
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Radiation Detection & Measurement (1) (2) (3) (4)1 MeV ( ) 10 9 m 10 7 m 10 10 m < 10 18 m X 10 15 m 10 15 m ......... (isotope)...... (isotone)......... (isobar) 1 1 1 0 1 2 1 2 3 99.985% 0.015% ~0% E
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š ( œ ) 4,000,000 52. 9.30 j 19,373,160 13. 4. 1 j 1,400,000 15. 9.24 i 2,000,000 20. 4. 1 22. 5.31 18,914,932 6,667,668 12,247,264 13,835,519 565,000 565,000 11,677,790 11,449,790 228,000 4,474 4,474
š ( š ) (6) 11,310, (3) 34,146, (2) 3,284, (1) 1,583, (1) 6,924, (1) 1,549, (3) 15,2
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Ÿ ( Ÿ ) Ÿ šœš 100,000 10,000,000 10,000,000 3,250,000 1,000,000 24,350,000 5,000,000 2,500,000 1,200,000 1,000,000 2,960,000 7,000,000 1,500,000 2,200
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2000年度『数学展望 I』講義録
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) 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
(e ) (µ ) (τ ) ( (ν e,e ) e- (ν µ,µ ) µ- (ν τ,τ ) τ- ) ( ) ( ) ( ) (SU(2) ) (W +,Z 0,W ) * 1) [ ] [ ] [ ] ν e ν µ ν τ e µ τ, e R,µ R,τ R (2.1a
1 2 2.1 (e ) (µ ) (τ ) ( (ν e,e ) e- (ν µ,µ ) µ- (ν τ,τ ) τ- ) ( ) ( ) ( ) (SU(2) ) (W +,Z 0,W ) * 1) [ ] [ ] [ ] ν e ν µ ν τ e µ τ, e R,µ R,τ R (2.1a) L ( ) ) * 2) W Z 1/2 ( - ) d u + e + ν e 1 1 0 0
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. +
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34号 目 次
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2000 8 3.4 p q θ = 80 B E a H F b θ/2 O θ/2 D A B E BD = a, EA = b, BH = a, BF = b 3 EF B, EOA, BOD EF B EOA BF : AO = BE : AE, b : = BE : b, AF = BF = b BE = bb. () EF = b AF = b b. (2) EF B BOD EF :
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Ÿ ( ) Ÿ 100,000 200,000 60,000 60,000 600,000 100,000 120,000 60,000 120,000 60,000 120,000 120,000 120,000 120,000 120,000 1,200,000 240,000 60,000 60,000 240,000 60,000 120,000 60,000 300,000 120,000
50 2 I SI MKSA r q r q F F = 1 qq 4πε 0 r r 2 r r r r (2.2 ε 0 = 1 c 2 µ 0 c = m/s q 2.1 r q' F r = 0 µ 0 = 4π 10 7 N/A 2 k = 1/(4πε 0 qq
49 2 I II 2.1 3 e e = 1.602 10 19 A s (2.1 50 2 I SI MKSA 2.1.1 r q r q F F = 1 qq 4πε 0 r r 2 r r r r (2.2 ε 0 = 1 c 2 µ 0 c = 3 10 8 m/s q 2.1 r q' F r = 0 µ 0 = 4π 10 7 N/A 2 k = 1/(4πε 0 qq F = k r
( ) 3,000,000 1,437, ,003,853 9,003,853 9,003,853 9,000,000 9,000,000 3,853 3,853 8,021,583 4,000, ,302 3,670, ,270
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1 (Berry,1975) 2-6 p (S πr 2 )p πr 2 p 2πRγ p p = 2γ R (2.5).1-1 : : : : ( ).2 α, β α, β () X S = X X α X β (.1) 1 2
2005 9/8-11 2 2.2 ( 2-5) γ ( ) γ cos θ 2πr πρhr 2 g h = 2γ cos θ ρgr (2.1) γ = ρgrh (2.2) 2 cos θ θ cos θ = 1 (2.2) γ = 1 ρgrh (2.) 2 2. p p ρgh p ( ) p p = p ρgh (2.) h p p = 2γ r 1 1 (Berry,1975) 2-6
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