n B n B = 10 3 1 B n B n 78 B 10 = = 10 9 3 87 n B 10 n B 9 = 1 10 = 0. 999999999 4 n B

K e V K o + 1 o + - 1 e + v e e o + 1 K e + - e 0.33% CP e K 1 o e o 1 B K CP

X q + q X q +1 X q q X q 1 q q 1 1 X X + 1 X 6 + u B X d u B 2 3 3 1 X e n B X d u B = -2 3 3 u X +d u + X e d d + + 0 p uud e 15 10 GeV X X B -35 n - n 10 B B 10 GeV X X nb - n 0 B 15

n B - n B n - n 10 K B - 13 B o K CP 1

p + v n e

ϕ t + ϕϕx + ϕxxx = 0 ϕ ϕ = sinϕ xx tt

Higgs ϕ 4 2 2 3 ϕxx ϕtt + m0ϕ f ϕ = 0 2 ϕ xx + iϕt + a ϕ ϕ = 0 2 2 iϕ + 3ix ϕ ϕ + pϕ + iσϕ + s ϕ ϕ = 0 t x xx xxx ϕ

( N) lim f ( x) = g( x) = xg( g( x )) N a a n a n+ 1 S = lim n a a n+ 1 n+ 2

2 2 n+ 1 xx tt x t ϕ ϕ ϕ a ϕ ϕ + bϕ = 0 2 2 ϕ ϕ ϕ a ϕ ϕ = F( ϕ) xx tt x t dρ 1985 = de a ρ( 1 2ρ)

7 15 dh l u ( ) / 1 11 dt u V 1 2 + ( V ) V = P + v V t ρ V p v

2 xn+ 1 = f( xn ) = 1 ax n 3 * 2 A * * 0 B A * x B x x * 1 a x * x x x x x * A * A x B *

a n a n+ 1 δ = lim δ n = lim n n a a n+ 1 n+ 2 a n τ = n 2 a a n

d = lim ln N( ε) / ln( 1/ ε) 6 ε 0

1 2 v 2 GM R R 2GM 2 v 2GM R (1) 2 c R 2 GM 2 c 2GM 2 c R 2 GM 2 c = 4GM = 1.75 c 2 r

2 ds 1-2m 2 2m 1 2 dt 1 dr r r 2 2 2 2 r d + sin d g = 1-2m 00 = 0 3 r g = - 11 1 1-2m r = - (4)

2 1 2 2 1 2 2 2 2 ds = dr + d + sin [ r + a d - adt] 1 2 2 dt asin d 5 2 2 2 2 2 = r - 2mr + a + Q = r + a cos Kerr M = K A + dj (7) 8

T = 3 c h GMh = Gkm 2 kcr 8 2 g (10)

1 X 1000

d = d 2 0 z 2 2 1 - a z d a 0 Z R = hc h = 1 Z = 137 2 c 2 2 2 2 E = mc 1 a z a K 1 a = Z 137 E 137.04 121 8s 8p (8s 8p ) 2 1 1 2

88 38 203 82 Sr 120 50 50Sn 209 126 83 4 2 16 2 8 40 8 20 70 126 60 20 8 He O Ca Ni Pb Bi 126 magic number 32

50 25 2 5 1 6 1 3 10 3 5 14 5 7 50 7 25 H Li B N v 25 15 V 6 10 25

20 48 96 248 Ca Cm 36 84 83 209 Kr Bi

234 Pa 6 75 234 91 99.87% 0.13% 1.17 Pa 234m 143 91 234 91 234 91 Pa Pa 143 91 234 143 91 143 Pa 143 Pa 143 234 234m 91Pa143 91Pa 143

116ml 1 2 49 116m2 49 m m In In

84 36 Kr 186 74 W

2 2 2 2 2 4 E = c m E = p c +m c 0 1984 1 1985 3 4 1986 1 2

= n p = h / mv = hc / E 2 2 m 0 c 4

li m (x) = 1 x 8 x log x é

1 B s s x log 2 x n=1 n s

2 2 n + 1 Fermat F

é é é

= 265000 103.5 = 2560.4 /

S = Q 1 T S 0 = klnw 2

H = log2w. 3 I = -H = -log2w. 4 I - 1 k log e S 5 2 0

S = Q T

ü