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J"kror~?9K$UN?MN,@ilk#

>,nHNX"

nQGDJ8g<s:K }WOXJ,[Xt"ds&P/9?<X80JIK

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"?Qr@t" K b,RJX"DNA

>,nHNX"

nQGDJ8g<s:K

}WOXJ,[Xt"ds&P/9?<X80JIK kS\HGtJ9< ;*aJe#gXKK

v?X*kS\}@'kS\NAN#(5rO+j"-l$JAraakJkS\N(Mk.<"&Av?X"

"?Qr@t" K b,RJX"DNA

>,nHNX"

nQGDJ8g<s:K

}WOXJ,[Xt"ds&P/9?<X80JIK kS\HGtJ9< ;*aJe#gXKK

v?X*kS\}@'kS\NAN#(5rO+j"-l$JAraakJkS\N(Mk.<"&Av?X"

"?Qr@t" K b,RJX"DNA

>,nHNX"

nQGDJ8g<s:K

}WOXJ,[Xt"ds&P/9?<X80JIK kS\HGtJ9< ;*aJe#gXKK

v?X*kS\}@'kS\NAN#(5rO+j"-l$JAraakJkS\N(Mk.<"&Av?X"

ideal knots

"?Qr@t"

etc

_K b,RJX"DNA

>,nHNX"

nQGDJ8g<s:K

}WOXJ,[Xt"ds&P/9?<X80JIK kS\HGtJ9< ;*aJe#gXKK

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ideal knots

"?Qr@t"

etc

_K b,RJX"DNA

b,RJX

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DNA

G*-7j\K@

sEi;s=$

Du"D^jkS\KJCF$k3H,"k#

DNA

G*-7j\K@

sEi;s=$

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DNA

G*-7j\K@

sEi;s=$

Du"D^jkS\KJCF$k3H,"k#

sEi;s

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(writhe)

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m_tN,&9NQ,x0

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1

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C

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m_tN,&9NQ,x0

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y x

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1

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C

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y x

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1

4 Z

C

1 Z

C

2

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C

2

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1

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1

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C

1

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1 n

(y x) (dx dy)

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?@7 ^{= f(x; x)jx 2 C1g}

9KeN0GdPMrD1?bN,?Qr@t'

AC(C

1

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1

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C

1

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j(y x) (dx dy)j

jy xj 3

C

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1

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C

1 Z

C

2

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jy xj 3

eN0G ^{C1 = C2} H7?bN, ^C1 Ni$8s0t'

W r(C

1

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1

4

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C

1

C

1 n

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jy xj 3

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AC(C

1

) =

1

4

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C

1

C

1 n

j(y x) (dx dy)j

jy xj 3

C

1 N#(5rO+kL#

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Lk(C

1

; C

2

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1

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2

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W r(C

1

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1

4

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C

1

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1 n

(y x) (dx dy)

jy xj 3

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9KeN0GdPMrD1?bN,?Qr@t'

AC(C

1

) =

1

4

Z Z

C

1

C

1 n

j(y x) (dx dy)j

jy xj 3

C

1 N#(5rO+kL#

DNAkS\

H]$=ai<<'DNAZG7Fkg9kZG

^0Nr@Ne<,UKJk3H,"k

IsJkS\b"=N^0Nr@Ne<r$/D+Q(

lP"+@JkS\K9k3H,G-k#

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$&# kS\}@

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$&# kS\}@

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^0Nr@Ne<,UKJk3H,"k

kS\,Qok3H,"k IsJkS\b"=N^0Nr@Ne<r$/D+Q(

lP"+@JkS\K9k3H,G-k#

=Nh&JtNG.Mr"=NkS\NkS\rCtH

$&# kS\}@

DNAkS\

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^0Nr@Ne<,UKJk3H,"k

kS\,Qok3H,"k

IsJkS\b"=N^0Nr@Ne<r$/D+Q(

lP"+@JkS\K9k3H,G-k#

=Nh&JtNG.Mr"=NkS\NkS\rCtH

$&# kS\}@

DNAkS\

H]$=ai<<'DNAZG7Fkg9kZG

^0Nr@Ne<,UKJk3H,"k

kS\,Qok3H,"k

IsJkS\b"=N^0Nr@Ne<r$/D+Q(

lP"+@JkS\K9k3H,G-k#

=Nh&JtNG.Mr"=NkS\NkS\rCtH

kSN@U

kS\}@O3l+iI3XT /N+)

IN,n,kS\}@K7?J

C-r?(kN+)

kSN@U

kS\}@O3l+iI3XT

/N+) IN,n,kS\}@K7?J

C-r?(kN+)

ドキュメント内 講演資料 今井 淳 Jun O'Hara (ページ 63-146)