From u.cc.utah.edu!hellgate.utah.edu!dog.ee.lbl.gov!agate!howland.reston.ans.net!europa.eng.gtefsd.com!darwin.sura.net!nntp.st.usm.edu!whale.st.usm.edu!not-for-mail Wed Dec 15 19:27:55 1993
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From: yliu@whale.st.usm.edu (Yimin Liu)
Newsgroups: alt.chinese.text
Subject: Re:~{K.Pm9JJBCU~}
Date: 15 Dec 1993 15:18:15 -0600
Organization: University of Southern Mississippi
Lines: 27
Message-ID: <2enuun$2htr@whale.st.usm.edu>
NNTP-Posting-Host: whale.st.usm.edu

~{7=V[WS2BVPKDLu#,LlNDR;Lu!#

~{Wm4rI=CE!!!!!!!!!!!!    3#SC4JR;
~{B3C'!#=25DJG;(:MIPB3VGIn5DJB!#

~{>0Qt8ZNdKI3QM~#(>mA1#)!!24;k:ER;
~{4r;"=+!#6AWw=+;"4r!#

~{1FIOA:I=#(GoG'#)!!!!!!!!No@mC{4JR;
~{743e!#6AWw3e74#,3eV8AV3e!#

~{SqFeA[A:I=7-4,#,
~{:ZP}7gQ0QtBd=-!!!!!!!!!!3ISoR;
~{UbA=<~JBJGK-8I5D#?

~{NdKIWm4r=/CEIq#(5wM7#)!!3ISoR;
~{6w=+3p1(!#6AWw=+6w3p1(#,6wV8J)6w!#

~{9DIOTi7nC|OBI=!!!!!!!!!!LlNDC{4JR;
~{J12n!#6A3IJ1#c#a#i#,9DIOTiJGJ1G(5D;k:E!#

~{?l;nAVVPVX?l;n!!!!!!!!!!3ISoR;
~{7=PV2BVP!0NdKIWm4r=/CEIq!1#,UbLuR2C;NJLbAK!#



~{E#

From news.uta.edu!cs.utexas.edu!howland.reston.ans.net!darwin.sura.net!nntp.st.usm.edu!whale.st.usm.edu!not-for-mail Mon Jan 10 12:08:38 CST 1994
Article: 22265 of alt.chinese.text
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From: yliu@whale.st.usm.edu (Yimin Liu)
Newsgroups: alt.chinese.text
Subject: ~{OsPNWVCU~}
Date: 7 Jan 1994 14:31:49 -0600
Organization: University of Southern Mississippi
Lines: 28
Message-ID: <2gkgrl$r30@whale.st.usm.edu>
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~{::WVPN3ISPAy7(#,OsPNJGFdVPV.R;#,UbR2JG::WVOTVx5DLX5c!#2;V*J@=gIOSP9}<8VV
~{OsPNNDWV#?  2BOBAPOsPNWVCU#,PkR*SPR;6(5DOkOsA&!#

~{6@JwR;VD!!!!!!!!!!!!!!!!!!WVR;
~{<8V;7IE8Bd:S<d!!!!!!!!!!!!WVR;
~{A:IOQ`K+F\!!!!!!!!!!!!!!!!WVR;!!!!
~{GaV[R;R6K.F=Aw!!!!!!!!!!!!WVR;!!!!
~{Gi<1N^PD495v93!!!!!!!!!!!!WVR;!!!!
~{RF;(=SD>#,3z2]H%V&!!!!!!!!WVR;!!!!
~{=-:S:a9a#,K+7e59S0!!!!!!!!WVR;!!!!
~{I=>6R;Md4xSj:[!!!!!!!!!!!!WVR;!!!!


~{IO4NCU;04JCUCU5W#:;FAW!#

	~{4:OvDQCY7rWY#,#(R;#)
	~{Dn3I?U#,!!!!!!#(2]M7#)#
	~{TuK_VTSI#,!!!!#(SI#)
	~{V;WTKxC<7e!#  #(0K#)     

	~{GoG'0U#,!!!!!!           
	~{HK@kH%#,!!!!!!#(;p#)
	~{IOB%6+#,!!!!!!#(CW#)
	~{4KO&?00$#,!!!!#(O&#)
	~{;XM{R;DjVU!#!!#(DjOB#)     


~{E#


From news.uta.edu!cs.utexas.edu!uunet!haven.umd.edu!darwin.sura.net!nntp.st.usm.edu!whale.st.usm.edu!not-for-mail Mon Jan 10 12:18:40 CST 1994
Article: 22296 of alt.chinese.text
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From: yliu@whale.st.usm.edu (Yimin Liu)
Newsgroups: alt.chinese.text
Subject: Re:~{OsPNWVCU~}
Date: 7 Jan 1994 20:25:07 -0600
Organization: University of Southern Mississippi
Lines: 19
Message-ID: <2gl5i3$vq4@whale.st.usm.edu>
NNTP-Posting-Host: whale.st.usm.edu


~{6@JwR;VD!!!!!!!!!!!!!!!!!!WVR;

~{<8V;7IE8Bd:S<d!!!!!!!!!!!!WVR;

~{A:IOQ`K+F\!!!!!!!!!!!!!!!!WVR;!!!!
	~{4T!#!!!!#(:i?m#)
~{GaV[R;R6K.F=Aw!!!!!!!!!!!!WVR;!!!!
	~{PD!#!!!!#(@OMu#)
~{Gi<1N^PD495v93!!!!!!!!!!!!WVR;!!!!
	~{>2!#!!!!#(@OMu#)
~{RF;(=SD>#,3z2]H%V&!!!!!!!!WVR;!!!!
	~{;*!#!!!!#(@OMu#)
~{=-:S:a9a#,K+7e59S0!!!!!!!!WVR;!!!!

~{I=>6R;Md4xSj:[!!!!!!!!!!!!WVR;!!!!


~{E#


From news.uta.edu!cs.utexas.edu!math.ohio-state.edu!darwin.sura.net!nntp.st.usm.edu!whale.st.usm.edu!not-for-mail Mon Jan 10 20:32:56 CST 1994
Article: 22562 of alt.chinese.text
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From: yliu@whale.st.usm.edu (Yimin Liu)
Newsgroups: alt.chinese.text
Subject: ~{OsPNWVCU=RO~~}
Date: 10 Jan 1994 19:36:17 -0600
Organization: University of Southern Mississippi
Lines: 25
Message-ID: <2gsvqh$1j6k@whale.st.usm.edu>
NNTP-Posting-Host: whale.st.usm.edu


~{6@JwR;VD!!!!!!!!!!!!!!!!!!WVR;
	~{N@!#!!!!#(@O9~#)
	~{!0N@!1;9SPCUCf!09B7+Ll<J?4!1:M!0R;F,=5#[=m7,#]3vJ/M7!1#,R22;4m!#
~{<8V;7IE8Bd:S<d!!!!!!!!!!!!WVR;
	~{V]!#!!!!#(@O9~#)
	~{@OMu2B!09H!1R2SP@OMu5D5@@m!#
	~{CUCf8DN*!0<85c7IE8Bd:S<d!18|:C!#
~{A:IOQ`K+F\!!!!!!!!!!!!!!!!WVR;!!!!
	~{4T!#!!!!#(:i?m#)
	~{VqHK2B!0Wx!1#,Hg9{CUCfJG!0GgM'7-7IQ`K+Nh!1#,R2JGR;CU!#
~{GaV[R;R6K.F=Aw!!!!!!!!!!!!WVR;!!!!
	~{PD!#!!!!#(@OMu#)
~{Gi<1N^PD495v93!!!!!!!!!!!!WVR;!!!!
	~{>2!#!!!!#(@OMu#)
~{RF;(=SD>#,3z2]H%V&!!!!!!!!WVR;!!!!
	~{;*!#!!!!#(@OMu#)
~{=-:S:a9a#,K+7e59S0!!!!!!!!WVR;!!!!
	~{4x!#!!!!#(@O9~#)
	~{<G5CSPR;C{J$#,I=QBIOJiR;2]Le!04x!1WV#,H4JGR;JWKDQTJ+!#SPK-V*5@#?
~{I=>6R;Md4xSj:[!!!!!!!!!!!!WVR;!!!!
	~{:/!#!!!!#(@O9~#)


~{E#


From news.uta.edu!cs.utexas.edu!uunet!haven.umd.edu!umd5.umd.edu!umd5.umd.edu!zpy Sun Jan 23 12:33:02 CST 1994
Article: 23461 of alt.chinese.text
Path: news.uta.edu!cs.utexas.edu!uunet!haven.umd.edu!umd5.umd.edu!umd5.umd.edu!zpy
From: zpy@ds2.umd.edu (Zhiping You)
Newsgroups: alt.chinese.text
Subject: Entertaining Problem (~{H$N6NJLb~})
Date: 22 Jan 94 16:36:00
Organization: /homes/ds2/zpy/.organization
Lines: 92
Message-ID: <ZPY.94Jan22163600@ds2.umd.edu>
NNTP-Posting-Host: ds2.umd.edu


    ~{CwLl>MR*;X9zAK#,=qLlE,A&TYLyR;Lb!#R;8vTBRTaaTY<{!#~}

~{!>U}Lb!?~}

    ~{9zMuN*<N=1R;8vDjGa=+>|5D9&Q+#,8xK{R;0Y8vC@E.HCK{Q!R;8v~}
~{4x;X<R!#K{51H;OkQ!WnF/AA5D4x;XH%#,Bi735DJGUbP)E.WS2;JGR;Fp~}
~{HCK{Q!#,6xJGHCK{WxTZN]@o#,C@E.R;8vR;8v5X=x@43vH%#,OBR;8vTY~}
~{=x@4TY3vH%!#9f>XJG6TC?8vE.WSQ!Sk2;Q!1XPkBmIO>v6(!#E.WSR;5)~}
~{3vCE>M2;D\TYQ!!#SISZK{6TUbP)E.WS5=5W3$O`Hg:NR;5cR22;V*5@#,~}
~{MjH+C;SPQ!Tq1jW<!#WPO8OkAKR;UsRTaa#,K{N*WT<:Ih<FAKR;8v=(A"~}
~{2NUUO55D0l7(!#6TSZWnOH=x@45D#K8vE.WS#,K{6<2;Q!#,V;JG<GOBFd~}
~{VPWnF/AA5DR;8v!#4S5Z#K#+#18v?*J<#,V;R*3vOV1HK{<GOB5DDGN;;9~}
~{R*F/AA5D#,BmIOQ!3v4x;X<R!#Ub8v#KV52;D\L+P!#,7qTr2NUUO52;9;~}
~{MjIF!#Hg9{#KV5L+4s#,TrSP?ID\B)5t:C5D!#OVTZ5DNJLbJG#KH!J2C4~}
~{V52ED\J9Hg4KQ!;X<R5DE.WS5DF/AAFZM{V5Wn4s!#~}

~{!>W"R;!?<YIhUbP)E.WS5DF/AAV54S#15=#1#0#0Kf;zEEAP!#~}
~{!>W"6~!?5=4sIL3!M#35#,M#5CL+MbCfTrPhW_:\T6#,?*5CL+=|Tr?ID\~}
~{RQ>-1;M#Bz#,:sCfSP35SV2;D\5=MK#,Sk4KNJLb:\=S=|!#~}

~{!>IOV\NJLbLVB[!?~}

    ~{IOV\NJLb1;R;Yg=b3v#,8=:s#(:\1'G8#,J1<dL+=t#,C;7-Rk#)!#~}
~{K31cHC4s<R?4?4VP9z9EJ1:r5DJ}Q'>+;*!#~}

>>~{SL<G3uVPTxQ'9}Wfg.#(#G#E#N#G#4#)T-@m#,HtUb2;Kc;}7V#,Tr=bHgOB#~}
>>
>>Let the plane spanned by the axises of the two cylindars be P, the shared
>>
>>part of the two cylindars be V. Consider a ball B with radius 1 and w/ its
>>
>>center on P and an arbitary plane P'//P at a distance d<=1 from P.
>>
>>The intersection of P' w/ V is a square whose sides are   2 x sqrt(1-d^2),
>>
>>and thus has an area of  4*(1-d^2). The intersection of P' w/ B is a circle
>>
>>w/ a radius of sqrt(1-d^2), whose area is hence pi*(1-d^2). Therefore
>>
>>the ratio between the areas of the two intersections is 4:pi, a constant
>>
>>indepentant of d. The ratio between the volumes of V and B is the same
>>
>>constant, according to Zu Geng's principle. So:
>>
>>         vol. of V = 4:pi * vol. of B = 16/3 .
>>
>> 
>>
>>~{Wfg.6+::HK#,0";y_d5B~} Hellenistic ~{J14zHK#,N4V*JkTg#.~}

  ~{6+::#-#-9+T*#2#5#-9+T*#2#2#0!#!!0";y_d5B#-#-#2#0#0#b#c!#~}
>>
>>~{R;Yg~}

~{!>IOIOV\NJLbLVB[!?~}

~{IOIOV\NJLbSI#m#i#n#g!!#x#u#e!!8x3vOjO8=bJM#,P;P;!#~}

>>I understand what he says, let me explain his idea in a more clear way: 
>>
>>1) Look at the chess board:  b-black w-white
>>  
>>   bwbwbwbw 
>>   wbwbwbwb 
>>   bwbwbwbw 
>>   wbwbwbwb 
>>   bwbwbwbw 
>>   wbwbwbwb 
>>   bwbwbwbw 
>>   wbwbwbwb 
>>
>>   where each letter represent a small square (cell), and note that 
>>   all squares on the immediate top, bottom, left or right, if any, 
>>   of any small square, say A, have a different color the square has   
>>
>>2) Now, without loss of generality, say the upper & left most square
>>   and the lower & right most square have been taken, note that they both 
>>   are b(lack).   IF there is such an arrangement of 31 1x2 rectangles
>>   for the remaining 62 squares, of which 30 are black and 32 are white, 
>>   a contradiction comes as follows: 
>>   each 1x2 rectangle put on the chess board must cover exactly one
>>   b(lack) square and one w(hite) square, so 31 rectangles cover
>>   exactly 31 b(lack) squares and 31 w(hite) squares.    
>>
>>3) So, the required arrangement can not be made, or is impossible.
>>-- 
>>Ming XUE (xue@athena.mit.edu)
>>
>>
>>


From news.uta.edu!cs.utexas.edu!math.ohio-state.edu!darwin.sura.net!nntp.st.usm.edu!whale.st.usm.edu!not-for-mail Sat Jan 15 08:44:15 CST 1994
Article: 22867 of alt.chinese.text
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From: yliu@whale.st.usm.edu (Yimin Liu)
Newsgroups: alt.chinese.text
Subject: ~{CU;0#(H}#)~}
Date: 14 Jan 1994 11:24:01 -0600
Organization: University of Southern Mississippi
Lines: 32
Message-ID: <2h6kfh$dtp@whale.st.usm.edu>
NNTP-Posting-Host: whale.st.usm.edu

~{VFCUV.9}3L#,MyMySI!0W>!16x!0?I!16x!0GI!16x!0<Q!1#,TYV.6x!0D'!1!#VFCU<H>C
~{1cT=K<T=0B#,W_;pHkD'!#6TD'CU#,3uHk5@U_3#M}V*KyRT#,2;5CR*Al!#P!K5!06~J.Dj
~{D?6C9VOVOs!1VPSPRT!0U}!1R;WVIdKDJi6~>d#(2;A,#)#,5WN*!0LlV.N4I%K9NDR2!1!0
~{TrFdU~>Y!1!#JiVP=1F7N*9R1mR;V;#,?VEBDc7-FF!0KDJi!1#,9R1mDQ5C!#SPR;=pJ/C{
~{<RTx3vR;CU!02C!1IdJ+>-R;>d#,2"1j3F!0;"Mu!1#,IdVPU_3jSqUBR;C6#,:sN*BmP%Ll
~{IdVPN*!00'TUD*D\QT!1#(OV4z3F5CIOCU<R5DC;<88v#,BmP%Ll1cJGV.R;#)!#3vUbVVCU
~{4?4bJG2;Ok7"=1F7!#;9SP7=V[WS5D!03vFf!1Id!04s:SIOOB#,6YJ'LOLO!1R2KcR;@}!#

~{Ub@`D'CU4sT<A=VV#,R;JGCUCf;rCU5W;lSP!02pWV!17(!#Hg!00V0V5D9$WJ!1Id3ISo!0
~{8*5W3iP=!1#,!0J2!1Id5gS0!0?`DQ5DPD!1#;!0V;4KJ.A=!1Id3ISo!06@>_=3PD!1!#6~
~{JGCUCfIOSP1p=b#,5+CUCf;9K3@m3IUB#,J9DcS{1f2;D\!#Hg!0A<QT!1Id9ENDF*D?!0At
~{:nB[!1#,!0A<!11p=bN*!0UEA<!1#;!0M{=-DO!1Id3ISo!08t069[;p!1#,!0DO!1TZNePP
~{VP?[!0;p!1!##

~{2;JGK5UbVVCU?[5C2;:C#,SPP):\WTH;5DHg!0?WH86+DO7I!1IdADD?!0KoIz!1#;!0:L!1
~{Id7YJi6~>d!0G'TXV.OB#,SL?IOk<{FdHK!1#;!0=ST+7VVq>6!1IdNwOaR;>d!0R;8vUb1Z
~{#,R;8vDG1Z!15H?03F<QCU!#2;9}W\JGSPFx2;Wc2;K35D8P>u#,;9JG;aRb7(N*VFCU!"2B
~{CUV.U}WZ!#!0FeEL=V!1IdAy2E!0PPV.6x2;VxR.!1#;!0K+Q[;(AnSp!1IdJ7<G!0SpR`VX
~{M+WS!1#;!02;T87b:n!1IdWs4+!09+=5R;<66x4GQI!1#,Hg4K=TIqTOLl3I#,?I8!R;4s0W
~{!#

~{OBAPCU#,C;SPR;A=DjCU9&5D#,Wn:C2;R*M}JT!#MxIO4sT<V;SPH}!"KDHKSP4K9&A&!#

~{Cn!!!!!!!!!!!!!!!!!!3ISoR;
~{4sO2		!!!!!!4JEFR;
~{G1LSN^WY!!!!!!!!!!!!C+J+4JR;>d
~{K+O2!!!!!!!!!!!!!!!!3ISoR;
~{:lSk;F!!!!!!!!!!!!!!3ISoR;
~{Ht!!!!!!!!!!!!!!!!!!H}9zHKC{6~


~{E#


From news.uta.edu!cs.utexas.edu!howland.reston.ans.net!paladin.american.edu!darwin.sura.net!nntp.st.usm.edu!whale.st.usm.edu!not-for-mail Sun Jan 16 12:44:00 CST 1994
Article: 22977 of alt.chinese.text
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From: yliu@whale.st.usm.edu (Yimin Liu)
Newsgroups: alt.chinese.text
Subject: Re:~{CU;0#(H}#)
Date: 15 Jan 1994 21:36:41 -0600
Organization: University of Southern Mississippi
Lines: 15
Message-ID: <2haco9$ogf@whale.st.usm.edu>
NNTP-Posting-Host: whale.st.usm.edu


~{Cn!!!!!!!!!!!!!!!!!!3ISoR;
~{4sO2		!!!!!!4JEFR;
	~{SP2pWV!#
~{G1LSN^WY!!!!!!!!!!!!C+J+4JR;>d
	~{LUAn2;V*:N4&H%!#!!G1V8LUG1#(T(Cw#)!#
~{K+O2!!!!!!!!!!!!!!!!3ISoR;
	~{SP2pWV!#
~{:lSk;F!!!!!!!!!!!!!!3ISoR;
	~{SP2pWV!#
~{Ht!!!!!!!!!!!!!!!!!!H}9zHKC{6~
	~{2pWV!#


~{E#


From news.uta.edu!cs.utexas.edu!howland.reston.ans.net!europa.eng.gtefsd.com!darwin.sura.net!nntp.st.usm.edu!whale.st.usm.edu!not-for-mail Thu Jan 20 19:13:56 CST 1994
Article: 23331 of alt.chinese.text
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From: yliu@whale.st.usm.edu (Yimin Liu)
Newsgroups: alt.chinese.text
Subject: ~{D'CU=RO~~}
Date: 20 Jan 1994 18:08:47 -0600
Organization: University of Southern Mississippi
Lines: 18
Message-ID: <2hn6ef$1jif@whale.st.usm.edu>
NNTP-Posting-Host: whale.st.usm.edu


~{Cn!!!!!!!!!!!!!!!!!!3ISoR;
	~{R;WVG'=p!#G'=p?I?[E.!#
~{4sO2		!!!!!!4JEFR;
	~{LlOB@V!#
~{G1LSN^WY!!!!!!!!!!!!C+J+4JR;>d
	~{LUAn2;V*:N4&H%!#!!G1V8LUG1#(T(Cw#)!#
~{K+O2!!!!!!!!!!!!!!!!3ISoR;
	~{@VTZFdVP!#
~{:lSk;F!!!!!!!!!!!!!!3ISoR;
	~{F=7VGoI+!#	
~{Ht!!!!!!!!!!!!!!!!!!H}9zHKC{6~
	~{B@2<#,;F8G!#

~{D'CU#,?IRTP]RS!#


~{E#


From news!chpc.utexas.edu!cs.utexas.edu!howland.reston.ans.net!agate!msuinfo!fue Sun Feb 27 20:35:04 CST 1994
Article: 26276 of alt.chinese.text
Path: news!chpc.utexas.edu!cs.utexas.edu!howland.reston.ans.net!agate!msuinfo!fue
From: fue@egr.msu.edu (Shimin Fang)
Newsgroups: alt.chinese.text
Subject: [PUZZLE] Yuanxiao Party~{T*O|CU;aCUSo~}
Date: 27 Feb 1994 19:52:33 GMT
Organization: Michigan State University, College of Engineering
Lines: 52
Distribution: world
Message-ID: <2kqtm1$1600@msuinfo.cl.msu.edu>
NNTP-Posting-Host: frith.egr.msu.edu

~{!!!!WrMm5DCU;aMf5C:\?*PD#,MfMjAKV;>u5CM7TNDTUG#,@[!#@O9~!":o!"E#!"
~{L(110"Iz5HMxIOCUL38_JV6<8O@4RTCU;aSQ!#N:@O0eHU@mMr;z#,R2@49[D&AK
~{R;Us#,UbJGQG9pJW4NTZ#i#r#cB6Cf0I#?9EF=5DMaCUHC4s<RP&FF6GF$#,Jw7c
~{Ev5=2B2;3v5DCU>MM~P2!0=22;M(NR4rK@Dc!1#,PWO`1OB6!#=`1y!"S#S#VFCU
~{2BCU2;HCPkC<#,:\3v:uNR5DRbAO!#@O4s<{6`J69c#,2BCU9&7rR2:\JGAK5C!#
~{;u@IC&WEKM;u#,;92;M|HCNR4zW*A=LuCUHC4s<R2B!#
~{!!!!?IO'WrLl5DMxBg5=:s@4:\2;U}3##,@OJG7V<R!#<QCUR2Rr4KF@2;3I!#SI
~{SZ;zFw9JUO#,NR5DJ5?vB<Rt:\2;MjH+#,C;7(0QKySP5DCU6<TZ4KOr4s<R=iI\#,
~{V;D\OH=iI\NRWT<:VFWw5D!#:o!"@O9~!"0"Iz5H5H#,DcCGR20QWT<:5DCUU{@mR;
~{OBL{3vHg:N#?
~{!!!!RTOBJGNRWrLl3v5DCU#,044SRW5=DQ5DK3PrEEAP!#Wn:s<8LuJGNR5D5CRb
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