1989
NP
A B A-B
2
0 1 2 3 4 5 6 x+1 w+3 (xw+yw=xw x y z 0 w 2) x,w 1993 6 23
H(n m) = 0 T n (m) = 1 T n (m) 2 3 5 7 11 13 17 1 0 1
H(n m) = 0 T n (m) = 1 T n (m)
U Tn(n) n
a=b(c)
1 3 1 5 x x + x 6 120 1 3 1 sin = λx.[ x x + x 5 ] 6 120 1 Q = λ x.[ x 3 ] 6 (f(p))(q) ((f(p))(q))(r) (fp)q ((fp)q)r
1 3 1 3 1 2 1 1 Q( a + 1) = ( a + 1) = a + a + a + 6 6 2 2 6
1 2 ((a + b) + 3a + b) (a, b) 2
2 = 1.41421356237309504 = { 6(1+1 4 +1 9 +1 16 +1 25 +1 36 + )} 2
1020 100000000000000000000 1 0
i a - a i a i (1+ i) 2 ( 1 + 1 2) + i 2 (1+ i) 2 (1 1 2 ) 2
e=2.7182818285 e=1+1/1+1/(1+2)+1/(1 2 3)+ e z ez
1 0 1 1 0 1 2
0 C = 1 + 1 2 2 i
1 +z/1+z2/(1 2)+z3/(1 2 3)+
( ) V w+3 w+3 w+3 w x y z (x + 1) + (y + 1) = (z + 1) w+3 w+3 w+3 F w x y z (x + 1) + (y + 1) = (z + 1)
+ + + G(w) = x y z x + w 3 + y + w 3,, ( 1) ( 1) = ( z + 1) w 3, w P P Q
n n x[ P w ] x w
x P w P w x w k x P k ] = P k x k k
F G(0) G(1) G(2) G3S(3) G(125000) 125000 66
k+1 k+1 1 2 3 4 8 9 11 12 19 21 22 99 111 112
P P
x k x
n n n
w x z f w x z 0
1+ 2
39 1988
r 2 n 2 ] 2 n r 2 2 2 2 r 2 P r
w x z f(w x
7n4-3n3+6n+15 n n 7n4
(1985) QED
2 2 1792 1856 1777 1855
M/N a/b M/N c/d a/b c/d a/b c/d
p i H = x i = x i H p i
1 E B = curlb 4πj = curle 2 c t t dive = 4 divb = 0.
(B/(t 1/c2
{1/c2((/(t)2-((/(x)-((/(y)2-((/(z)2}(=0
c 45
η η/ 2 η= h / 2 0 η 2η 3η 4η
i = 1
2 2 2 2 w / w + z z / w + z, 215
S
ψ ψ p x p t s t
ψ ψ p p ψ 1830 ψ ψ ψ ψ ψ
x p η ψ
x 2 x
2 1-3i z =eipx/h=cos(ipx/h)+isin(ipx/h) 102 p
z 0 z1 z2 ψ ψ ψ
2 0 2 2 1 2 z z z ψ ψ ψ 2 2 2
0 η 2η 3η η/ 2 η/ 2 η / 2 3 η/ 2 5 η/ 2 η/ 2 η 0 η 2η 3η 360 η/ 2 η/ 2
1 2 (1+ cos ) 1 2 1 -cos
ϕ ϕ ϕ ϕ
p = q 6.28 q q ϕ ϕ ϕ
n η/ 2 1987a ηn / 2 η/ 2
1/ 2 1 2 10 9 = 45
3 1 120 = 1 + cos60 4 2 1 4 = 1 1 + cos120 P E 2 1 P (0 + 3 4 + 3 4 ) = 1 P 3 2 1 3 1 1 1 1 ( + + ) = E 4 4 2
1 2
iη t ψ = H ψ η h / 2 i = 1 qi - i η / q i -p p q 2 q
1/ 2
1/ 2 = + 1 2
ϕ ϕ x x = x z = x + iy 2 z = x iy x y z = zz x 9 = z w z w z w
[ ] [] 1 2
10 10 25
1400 / = 14k 10 log 10 25 e 6 10 25
n m ncm 10nCm=n 10n-m / 10nn-m!
e=2.7182818285 10 n x=logn e n ex=n 102
1930
11 45 11 52 11 56 11 58 11 59 11 59 1 2 11 59 3 4
11 59 7 8 A A 1917 1931
1/ 10 10123 3 A kc Sbh = ( ), 4 Gη k c G η
2 S bh = m 2 (kg / ηc)
V = 10 10123 e 10 123 10 101 10 88 W = 10 W = 10 V / W = 10 10123 10 123 10 101 10 123 10 101 10 123 10 10 = 10( ) = 10 10 10123 e
10 10 123 398 10 1060 397 247
ϕ ϕ
1/ 2 1/ 2
2 1/ 2 = 1/ 2 L P 1/ 2 A 8.3 1/ 2 P LMP 1/ 2 LMA 1 1 / 2 P A 2 M 1/ 2 L 1/ 2 M 8.3 B
285
0 0 0 1 A& B ( ) A B ( ) 0 1 1 1 1 1 1 0 A B ( ) A B ( ) 0 1 0 1
1985
1984 143
60
5