組合せの驚異 Miracle of combination
Quiz:
Which is the largest number?
a. Number of all molecule in the whole
space
b. Number of information of CTGA
arrangement of DNA (deoxyribonucleic acid)
c. Number of actions in total
"GO" game
Assume
1 DNA consists of 2000 CTGA element, then C = Combination of CTGA arrangement
is;
ＤＮＡにおける 2,000個のCTGAの組合せ
C ＝4 ^ 2000＝10 ^1200
Number
of cross points in "GO" game is 19x19 =361, so number of moves is
about 361!.
碁盤の目の数 19×19 ＝
361，全着手数 361 !＝ 3.5×10
^ 770
|
項目 |
|
Term |
|
unit |
|
アボガドロ定数 |
A |
Avogadro
Constant |
6×10 ^ 23 |
per mol |
|
理想気体の体積 |
G |
Volume
of ideal gas |
0.0224 |
m3
/ mol |
|
光速 |
VL: |
Velocity
of light |
3×10 ^ 8 |
m/sec |
|
１光年 |
LY |
Light-year
= VL･60･60･24･365 |
10
^ 16 |
m |
|
宇宙の直径 |
D |
Diameter of the cosmos sphere |
10
^ 20 |
light-year (光年) |
|
宇宙の体積 |
V |
Volume
of the cosmos ＝ π / 6 D ^ 3 ＝10 ^ 60 light-year ^ 3 |
10
^108 |
m3 |
|
分子の数 |
M |
Amount of molecule ＝ A･(V/G) |
3･10 ^133 |
|
|
ＤＮＡにおける 2,000個のCTGAの組合せ |
C |
Combination of CTGA
arrangement C ＝4 ^ 2000 |
10
^1200 |
|
|
碁盤の目の数 |
NG |
Number
of cross points in "GO" game =
19×19 |
361 |
|
|
全着手数 |
NM |
Number of moves = 361 ! |
3.5×10 ^ 770 |
|
（参考 １億年,
cf. 1 Billion year＝ 3×10
^15 sec）