- 在线时间
- 367 小时
- 最后登录
- 2015-10-7
- 注册时间
- 2012-4-4
- 听众数
- 29
- 收听数
- 0
- 能力
- 0 分
- 体力
- 2850 点
- 威望
- 0 点
- 阅读权限
- 60
- 积分
- 1102
- 相册
- 1
- 日志
- 1
- 记录
- 1
- 帖子
- 515
- 主题
- 26
- 精华
- 0
- 分享
- 0
- 好友
- 96
TA的每日心情 | 衰 2014-6-9 20:45 |
|---|
签到天数: 290 天 [LV.8]以坛为家I
 群组: Matlab讨论组 群组: 2013年数学建模国赛备 |
\documentclass[twoside,a4paper,CCT]{cctart} % 这是Li Dongfeng改的文件头8 i" S' z" v6 `; b( d& n
\usepackage{amsmath,amsthm,vatola,makeidx,amssymb,amscd,headrule} % 这是Li Dongfeng改的文件头# Q. y& [6 l S( F1 g
\usepackage{amsfonts} % 这是Li Dongfeng改的文件头
J+ P0 s# _( r. G, L%\documentstyle[twoside,headrule,vatola]{carticle} %这是原来的文件头
; |4 w! [) G/ T6 o! r# Y%\input amssym.def
- N( A7 E0 W8 P: u2 k" w) L V# M9 v\usepackage{graphicx} %这是原来的文件头' z0 L* U/ f" f3 O. ~+ i
\input scrload.tex %调用花体字: {\scr A,B,C,...}
8 U. Q1 Z1 G5 |4 M8 c& F+ a%--------------------------Page Format--------------------------$ D! r1 E# G! @+ l! I2 r
\headsep 0.2 true cm \topmargin 0pt \oddsidemargin 0pt \footskip0 z! S/ d; W/ V6 C( _$ J
2mm \evensidemargin 0pt \textheight 21 true cm \textwidth 14.7
* {0 I. N" Y# l0 `8 ~! ktrue cm \setcounter{page}{502}
' y) H% m7 [" n$ d4 F7 o%\parskip 0.2cm8 Y7 T0 ~% K/ ? l' l
\parindent 2\ccwd6 U" @: ~* Q+ B; w5 B, @7 j
\nofiles
' T* l- J* k# L0 q8 H! U8 v%---------------------------------------------------------------
3 z1 x* x2 z: Q, G\def\sec#1{
3 q3 b5 J/ Z: j- ]6 O. V b\vskip.12in \noindent{\Large\bf\zihao{-4}\heiti #1} \vskip.1in}
' B. Z, Z% P2 `: c( t/ a! @. Y9 z\def\subsec#1{
: ] n) Y1 [. g\vskip.1in \flushpar{\zihao{5}\heiti #1} \vskip.1in}
0 s9 e5 L2 L# N\def\de#1{{\heiti\bf #1}\quad}
# d' L& X8 b$ i* m% H8 z4 ~5 j" U1 Q- r' m: v* `1 r5 v
\begin{document}: j8 t; }3 T& i! c5 C) q3 n
\TagsOnRight \abovedisplayskip=10.0pt plus 2.0pt minus 2.0pt) T# s* A( b4 F h
\belowdisplayskip=10.0pt plus 2.0pt minus 2.0pt
. B) ~8 O+ ?: g9 f4 K) ^3 I6 S%====================================================================# [! L- t1 ?* @ ?6 p, O" q
\catcode`@=11 \long\def\@makefntext#1{\parindent 1em\noindent b# y( J5 r; y5 \' w& l1 ?' ^
\hbox to 0pt{\hss$^{}$}#1} \catcode`\@=12
+ m1 y. V' l6 { I%====================================================================+ C* b& i y8 D$ B# C- j
- w# R. O% v+ T4 h
\renewcommand{\baselinestretch}{1.0}
+ B, v' F; v- @- P) I
8 e8 s7 k: M( k/ F% a8 c4 M* g" G+ y
2 G8 p5 f8 s1 U( U\newfont{\htxt}{eufm10 scaled \magstep0}7 `& G/ T7 l3 |1 U& K
%\newfam\euffam9 Q0 N- r* u: ]' i# w0 z! I# ^
\font\tenthxt=eufm10 scaled \magstep0 \font\tenBbb=msbm10 scaled
/ d. Y; E2 V7 J) X\magstep0 \font\tencyr=wncyr10 scaled \magstep0 \font\tenrm=cmr10: K" o7 O. z: u4 A( I
scaled \magstep0 \font\tenbf=cmb10 scaled \magstep0
# c; y2 m- V/ z+ U5 A) _% u4 y
0 S. G- V" P. O3 Y. k& P
5 B+ H _ \; [* n\def\cyr{\tencyr}* e" G) ]7 T" P! W+ E* O
%\def\cyw{\eightcyr}
( C# Z. T5 J- F: R+ D* A6 ^# g%\def\Bbb{\tenBbb}
9 w5 F1 V4 v* F" ]- ~6 R%\def\bbb{\eightcyr}, a3 A, Q2 k) g& u
%\def\txt{\tenthxt}
# j2 `$ w7 U4 z/ D' ?, P" L. h) g) d1 }6 A
\def\ST{\songti\rm\relax}. g- ^$ X4 U+ I, b) ?
\def\HT{\heiti\bf\relax}/ a4 |* Z9 M; y' S9 ?' s$ h
\def\FS{\fangsong\relax}' H% j! T9 O' W Q4 `& d
\def\KS{\kaishu\relax}
( r2 j, P: \; w, D\def\text#1{\hbox{\,#1\,}}- g3 ^8 h9 C* x! P7 e
\def\pmb#1{\mbox{\boldmath $#1$}}% C, Q) I2 t; r9 h* k7 a4 o
\def\Cal#1{{\cal #1}}
2 K' N, g. G0 C! V5 V( w* X" S0 c3 I* W& J# ~* b. _. l: ^& Y' ?+ h, T
\def\CA{\Cal A}
) |. c5 I; r. D. O$ n+ W\def\CB{\Cal B}
1 |, n0 {! M& |: a% ~/ @\def\cC{\Cal C}1 {0 a. _+ L" g- |! c
\def\CD{\Cal D}% K3 E3 E0 E7 Y B& }
\def\CE{\Cal E}/ o+ k8 I5 e& q- h
\def\CF{\Cal F}
/ K) _ ~* l# W( J( R\def\CG{\Cal G}
) @* e8 T/ o2 d5 | c\def\CH{\Cal H}
8 e& j* _4 S' ^3 ]\def\CI{\Cal I}4 {* e. D3 H3 D- F" v) L. O
\def\CJ{\Cal J}3 j8 \5 r6 h6 f. u
\def\CK{\Cal K}2 q" K8 r* ?, w3 O
\def\CL{\Cal L}* l" _# T0 ]* h ~2 i" F5 g- J' T3 \
\def\CM{\Cal M}
' M- R( \; ]2 k9 I\def\CN{\Cal N}+ ~' r8 {/ M6 N) Z8 D
\def\CO{\Cal O}$ k, h! X) ^' T0 w: j2 w
\def\CP{\Cal P}
& k" Y% P& P+ A0 k/ A" [\def\CQ{\Cal Q}
" D; h) s2 F7 G2 Q2 Q% A\def\CR{\Cal R}
4 `- t) W+ u3 j" F, _1 b\def\CS{\Cal S}
% `: n A/ U3 k) s5 V) ^; z; U$ Q& f\def\CT{\Cal T}/ M+ u- C3 {; y" {
\def\CU{\Cal U}
& Y! |2 V" K: P" X/ R\def\CV{\Cal V}: I( q7 W9 M$ P9 e7 o9 F; h+ v
\def\CW{\Cal W}
" j7 K$ @5 o2 |' z, k" d8 R; p\def\CX{\Cal X}& B+ b+ f) n2 @. e7 v9 h
\def\CY{\Cal Y}6 P2 b; Z% e* R8 m, W
\def\CZ{\Cal Z}& q4 s$ U' n$ O& {1 x# }
\def\BA {\hbox{\Bbb A}}
: v4 y; c3 O4 v\def\BB {\hbox{\Bbb B}} @6 l% T" t) b! O7 ], K9 Y6 L
\def\BC {\hbox{\Bbb C}}6 c- P& _& W8 a) A& S. S
\def\BD {\hbox{\Bbb D}}
- j2 j+ L6 `2 X ?\def\BE {\hbox{\Bbb E}}
% d3 [+ g% B$ J0 W+ b\def\BF {\hbox{\Bbb F}}
* Y2 \) F+ O( {9 u7 C% g\def\BG {\hbox{\Bbb G}}
% F ~5 w/ b& y- ?3 H) s* C\def\BI {\hbox{\Bbb I}}' E7 f0 k/ G/ ~1 ?* g9 G
\def\BJ {\hbox{\Bbb J}}
* t! x" b Q$ k3 K5 @" U8 G\def\BK {\hbox{\Bbb K}}+ M k+ m) I* \2 l- i5 H' q
\def\BL {\hbox{\Bbb L}}$ X5 K1 g0 T" D2 o# s9 |; ^; d0 Z9 p
\def\BM {\hbox{\Bbb M}}2 v6 ~9 \% Q/ F" m7 f8 T
\def\BN {\hbox{\Bbb N}}
1 J/ ^0 m0 a$ r/ X\def\BO {\hbox{\Bbb O}}
4 f' n' M. a, W- c5 \/ k\def\BP {\hbox{\Bbb P}}; q# f) {% L/ ^& z6 |/ w
\def\BQ {\hbox{\Bbb Q}}; M! l [9 e3 A- w' H
\def\BR {\hbox{\Bbb R}}
r6 a: }7 V& r( i- A\def\BS {\hbox{\Bbb S}}
- ]% z, h8 a& Z\def\BT {\hbox{\Bbb T}}
4 a/ g9 K1 u5 t( J/ v- J7 D\def\BU {\hbox{\Bbb U}}0 u) a- g. a% C) [( t
\def\BV {\hbox{\Bbb V}}
8 H7 n5 z3 L% f. ]\def\BW {\hbox{\Bbb W}}6 c/ @- D7 [2 h2 O/ y
\def\BX {\hbox{\Bbb X}}; Q6 |/ P0 j. x+ I' e! c2 h& k; K
\def\BY {\hbox{\Bbb Y}}- M8 E: m; v; ?
\def\BZ {\hbox{\Bbb Z}}
" `& O0 l* z. W) E# a\def\Gh{\hbox{\htxt\char'150}}
2 @, |4 X3 V) F2 h0 l+ [( b\def\GG{\hbox{\htxt\char'107}}
7 f4 X0 C8 w& Q% }( r: P% Z
, A" d4 \1 l# ~) P\def\text#1{\hbox{\,#1\,}}' |1 J3 d7 A% l c, q+ P
\def\pmb#1{\mbox{\boldmath $#1$}}
5 }, G @8 V9 m$ X; R! d\def\Cal#1{{\cal #1}}$ o6 f4 R7 h+ {, D2 `& X
' _. S3 M) K1 i( I5 A) ^
\newcommand{\orp}{\overline{\BR}_+} I: u1 h& Q7 f( I$ A: L! c
\newcommand{\opm}{{\rm op}^{\frac{1}{2}-\delta}_M}
' {: d/ w r6 B$ a7 e6 E\newcommand{\wot}{\widehat{\otimes}_\pi}9 s( [4 F! _) N2 Q8 \" `
5 R4 c% D) n5 a' O
%-----------------------作者定义9 c d" E3 ~- w/ \7 _1 w# j9 x1 O
: h9 |- N1 ~( q7 ^! }6 j l
" `2 G! {8 q8 j, l. P- f, Z5 C%-----------------------作者定义结束' C6 d0 v% n3 v9 l
\def\binom#1#2{{#1\choose#2}}# O* h: K' ~6 w2 K2 U+ e
\def\qed{\hfill\raisebox{0.1truecm}{\framebox[0.2truecm]{\ } } }' z. }. n6 D- u- b* K
\def\su{\mathop{\sum}\limits}2 K6 B0 j$ r- E
\def\Cal#1{ {\cal #1 \rm} }
/ n5 G! a8 ]1 q. W# a( A%---------------------------------------------------------------$ B6 G) }! }# x: Y9 I" _$ o7 j) I
\def\evenhead{{\protect\small{\zihao{-5}\songti \hfill \qquad\qquad
. w/ a8 E) n% L2 @\qquad} \hfill {\zihao{-5}\songti }}}
# D. F( u3 c7 R, H& m" H& _, O\def\oddhead{{\protect\small {\zihao{-5}\songti }5 ]% P; }- w. J0 ^* h
\hfill {\small\zihao{-5}\songti 方奇志: Total Dominating Set Games& D8 [: J! w+ Z! {# `8 w
}\hfill}}
/ q# ?2 ]" m& D; x L; p- B, p* s: z%---------------------------------------------------------------2 P/ k2 w9 A/ {& x
$ F4 j- _! l, I\vspace*{-13mm}
; H, `5 c5 W) V9 ~0 ^& c* \* E. y) d. @% B
\thispagestyle{empty}
) M f r, I8 w$ c6 B, V+ z, t5 \( N# z8 o, C
* \2 s6 m% N# T8 N/ q2 ?5 f%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%1 l, ]& f( Y* h. J6 W$ i& w8 X+ |
% f- H* l& L. {/ |( e
- B. |* o: o. j: P: w+ q! Z \
\ziju{0.025} \vspace*{.26in}
# f$ N3 r( V4 S5 w0 U\begin{center}
. m( ~( _2 n9 X1 O{\heiti\zihao{2}\LARGE\bf \huge 序列覆盖映射的注记}%Semi-Fredholm 算子时的应用}- |% y' K% Y4 |$ q. f; h
%\vskip.1in
; q; }2 e6 b3 [" o9 G8 O" t4 X$ i%{\heiti\zihao{2}{\bf\huge Semi-Fredholm} 算子时的应用}
& B a9 b% m" L# Q# R V6 t; T\end{center}
1 V7 x+ p1 E0 Z( X0 l) `/ r\vskip.12in- x5 x6 e: R4 p
%-------------------------------------------------------------------------
8 V3 n% Y2 A8 J: d/ T%\footnotetext{}
- s% F- ?% J" f$ X) k! ]%\footnotetext{}0 s: ~: g" N! [% _
%\footnotetext{}$ `7 E1 |0 ?' d/ T. k
%\footnotetext{\hfill\thepage\hfill}
1 z$ S: f& j4 K9 z. j8 F: ?%\footnotetext{}
( z1 e% v) k2 \% F8 y2 \' h- Y\footnotetext{收稿日期: 2003-07-08.} \footnotetext{基金项目:' u6 J* x L3 C8 i
国家自然科学基金资助课题(No. 10271026),
- m: j+ N2 l% s& Y C2 ^' j福建省自然科学基金资助项目(No. F0310010) ,
3 n6 u/ }" O& Y# W福建省高校科技资助项目(No. K2001110).}
1 I3 a( W, o1 X& u" J%数学天元基金(No. TY10126022)及973计划(No. 2002cb312200)资助.}( s8 |* j, ^* N4 a h6 w7 K
\footnotetext{E-mail: linshou@public.ndptt.fj.cn} \footnotetext{*
+ N" G$ K/ m# `. `5 v& T2 u" K作者现在通信地址.}
' e$ f ^" V# P" [3 u* i3 \
# @" J+ [, h) r% A, f! K%------------------------------------------------------------------------- L- M; P. _3 H1 H& a- y
%\centerline{\Rightarrowrge\zihao{4}\songti 蔡俊亮}
- i; I& x: j& [8 k5 P%\vskip.1in
3 }& A& y: Q2 m! Q! [%\centerline{\small\zihao{6} (北京师范大学数学系, 北京, 100875, 中国)}
D8 f* u9 t- F8 [1 c R%\vskip .1in" g( R/ R% x; Q2 y7 l
\centerline{\fangsong\large\zihao{4} 杨 \ \ 凤$^{1,2}$,\quad 钮凯$^{2}$ } \vskip.1in1 v- H" P( a W; a
\centerline{\small\zihao{-5}(1. 漳州师范学院数学系, 漳州, 福建," N9 E; d4 ~, x: R& y1 M$ Z
363000;\ \ 2. 宁德师范高等专科学校数学系, 宁德, 福建, 352100)}
- N6 Q; D$ E8 n ^! v! K, J\vskip.25in {\narrower\fangsong\zihao{-5}\small {\zihao{-5}\heiti
) u! y% ^1 @- y" E- H5 d摘要:}\ \' N: r/ ~, s5 y- ^# Z8 C- Q# W
本文的主要结果是构造两个例子分别说明1序列覆盖的商映射未必是弱开映射,
- \1 c* o$ }- S" z" H' f T# n度量空间上的序列覆盖$\pi$映射未 必是1序列覆盖映射.2 f4 b3 ?+ m6 \
; y9 c9 i0 B& T4 T{\zihao{-5}\heiti\tenbf 关键词:}\ \ 序列覆盖映射; 1序列覆盖映射;7 d1 A' a' F8 h8 m: s7 K/ M
弱开映射; $\pi$映射; 商映射8 [; i: x5 U5 C- [6 z. c
0 ^$ M3 S8 }) l* k' K2 E
{\tenbf\zihao{-5}\heiti MR(2000) 主题分类:}\ \ 54C10; 54D55; 54E407 B4 ]! ^" ?$ J2 E! u v% S, r
/ {\tenbf\zihao{-5}\heiti 中图分类号:} O189.1
" |# i, w4 w. ^
# N2 m4 a) E6 C" K% E" u %%{\zihao{-5}\heiti 文献标识码:}\ \ A\qquad {\heiti\zihao{-5} 文章编号:}\ \" y9 o# j9 J8 m8 X
%% 1000-0917%(2004)02-0229-071 g3 D+ G5 V, Q. U0 h: g
$ t! L2 U4 @& W }
9 k; a. f) o% ?: E8 u% y/ b$ ?/ u+ @) R/ s$ |. `5 q
\normalsize7 E5 C4 o$ Z# ]+ d+ P ]
( G0 B8 w8 n! w2 g F# Z6 ?, h
\baselineskip 15pt \vskip.15in& E! B! T& A1 h* x
! @$ G, n/ _% \3 @3 t
\sec{0 引言}
! A$ [( x- u. M" @; V2 G
1 E5 q! d7 R E6 o9 a3 ]
( E; x0 A O9 E$ O\sec{参考文献} \baselineskip 13pt {\footnotesize
* }6 E5 w( _+ e7 l, f2 v* a2 m! z9 f
\REF{[1]} Daves, C, Kahan, W.M., The rotation of eigenvectors by a
( B- y. F, I( E; zperturbation, {\it SIAM J Numer Anal.}, 1970, 1(2): 1-46.
! O2 F" e" J- y. j; B) i/ ^7 w
' G% D; {* {$ G+ } }$ }6 B9 A; N9 {
$ C6 p! C# v m9 `8 q0 _
\vskip .25in9 ?" q: K* x% z) b
\begin{center}
1 v1 Q6 L1 c9 F8 x @; O3 \" v{\Large\bf Relative Perturbation Bounds for }\\[.1in]$ ?7 p( d# L* Z" V1 T- _+ B/ P0 F
%vskip .13in
' j, R0 V' @7 Z) r3 [; a{\Large\bf the Subunitary Polar Factor }\\[.1in]1 S" b0 ~" A; @8 L& A3 V
%\vskip .18in8 j4 e% p" _0 p
{\Large\bf the Under Unitarily Invariant Norms}\\[.18in]# [; g4 ~8 \, W0 l, r& g
%\vskip .18in
3 G. c. Z: Z" i9 U" j{\normalsize\zihao{5} YANG Feng$^{1,2}$, \quad NIU Kai$^2$}\\[.1in]
( l6 E, ]6 s+ T& Y+ Z0 \%\vskip .08in
$ s& w+ y, w& z" G: L{\footnotesize\it(Department of Mathematics, South China Normal0 N) M. v: w) [
University, Guangzhou, Guangdong, 510631,/ g" B! l) l( R7 V+ [4 Q3 ?+ T
P. R. China)}\\[.25in]6 T. H( d; |- p+ j* A! I* M
%\vskip .1in
2 o: |2 i A" [# j%{\zihao{5} Liu Yanpei}
( E2 t7 W; x+ K9 G0 Z%\vskip .08in. {& K" D% ~3 D9 u
%{\footnotesize\it(Department of Mathematics, Northern Jiaotong University,* }% q) A- S! r7 d* ^& x% M) M2 o
%Beijing, 100044, P.~R.~China)}" N6 R+ t1 `! y0 {9 r/ R
\end{center}+ ~: y7 |2 E9 B }
%\vskip .18in
9 Y1 f0 O( _% o& O5 ]\baselineskip 14pt
" f( C$ b/ }/ c7 U
8 F$ U2 a0 X: @, c7 e6 X6 x\zihao{5}\normalsize {\indent{\bf Abstract:}\ \5 c# E0 D; W) z `# V: u- z& q+ T3 O
) w* P) d& M; {9 o8 x9 ^{\bf Key words:}\ \
. c5 X4 h/ V: k' s% R7 H
% }1 J- y, e0 p2 v8 y5 n$ b3 ~$ j3 g8 i/ v2 L0 j: D& C
}
& s% W' Q+ [5 M% }5 h0 [# d* [\end{document}
% H, L6 S q+ S. N. ], S$ o |
zan
|