学生団体 pomb 主催 2017...
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POMB 2017
2017 3 4 () 11:00 5 () 16:30
@ 2 Z Z102, Z103
Web page: http://pomb.org/joint/201703.html
3 4 () @Z102
11:00 11:05 ()
11:05 12:10 ()
12:50 13:55 () Ver.4
14:05 15:10 ()
15:20 16:25 ()
3 5 () @Z103
11:05 12:10 () Riesz
12:50 13:55 ()
14:05 15:10 ()
15:20 16:25 ()Zorn
16:25 16:30 ()
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[1] Mark C.Chu-Carroll cocoatomo 2016
[2] 2 (2016,2017)[3] Michael A. Nielsen, Isaac L. Chuang,2004
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Boltzmann Newton
Boltzmann
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t+ v
f
x+ F
f
p= (1)
H
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Boltzmann
[1] Hisao Hayakawa.Non-equilibrium statistical mechanics of dissipative systems (2015)
[2] ..2000
[3] A... (1969)
[4] .. (1961)
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[5] . 10. (2000)
[6] .. (1994)
[7] 37 1 (2008)
[8] http://mathsoc.jp/meeting/kikaku/2010aki/2010 aki ukai-p.pdf
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TANNO, Mahito
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https://sites.google.com/site/ouvsemi/*1
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[1] L. V. Ahlfors. . , 1982. [:].[2] A. Hurwitz and R. Courant. . , 2.,
2012. [:,].[3] . : 1. , [-41-1]., 2016.[4] . . , No. 2., 2015.[5] . : . , 2015.[6] . . , No. 18., 2002.[7] . : (). , Vol. 1787, pp. 221232, apr 2012.
[8] . : . , 2016.[9] . : . , 2000.
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2.2. X X - algebra - algebra B(X) - algebraB(X)
A B(X) algebra
K (K) < (2.1)
() A A , (A) = inf{(U)|A U,U } (2.2)
() U (U) = sup{(K)|K U,K : } (2.3)
2.1. X,Y algebraf : X Y
2.2. X:LCHX
*1 DFT*2
2.3. f : X R*3f (supp)
supp(f) = {x X|f(x) = 0} (2.4)
X LCH
K(X) = {f : X R|f supp(f) } (2.5)
R X I f K(X), f 0 I(f) 0 positive
2.3. X:LCHK X U X K U f K(X) ; K f U supp(f) U.
2.4. X f K(X), U1, U2, ..., Unsupp(f) ni=1Un{fn}n K(X); f = f1 + ...+ fn, supp(fi) Ui.f 0 fi, fi 0
2.5. (Riesz) X:LCH , I : X positive
! : ; f K(X) , I(f) =
fd (2.6)
1. ,,
2. Measure Theory,Donald L. Cohn,Birkhauser( 7)
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[1] (2009)
[2] (2009)
[3] (2012)
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[1] R. Diestel. . . 1997. [ : , ]
[2] B. Bollobas. . . 1979. [ : , ]
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Zorn
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