- 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
- z+ D: v3 P1 c\usepackage{amsmath,amsthm,vatola,makeidx,amssymb,amscd,headrule} % 这是Li Dongfeng改的文件头
: T4 z- n* O. m& F7 G\usepackage{amsfonts} % 这是Li Dongfeng改的文件头3 C ~( D5 w: z5 V: `: Y$ R
%\documentstyle[twoside,headrule,vatola]{carticle} %这是原来的文件头9 {% p3 W* Y' D: C- u: f m& b) F" o
%\input amssym.def
8 p! i; Z" r x, {\usepackage{graphicx} %这是原来的文件头+ Q) Z* A5 E7 w! l+ z8 D; a
\input scrload.tex %调用花体字: {\scr A,B,C,...}
7 w& I( M6 C% L, j%--------------------------Page Format--------------------------
: l1 v6 B$ _ i% |& j/ k\headsep 0.2 true cm \topmargin 0pt \oddsidemargin 0pt \footskip; a. N& I1 k; B" {8 `' ]
2mm \evensidemargin 0pt \textheight 21 true cm \textwidth 14.7# ~4 {; {* k% Q/ q2 K% o9 `
true cm \setcounter{page}{502}3 r& ?) L' T6 {5 _6 c" `6 |
%\parskip 0.2cm
! ]6 a/ ^" f8 L$ X- k1 d: K; Q\parindent 2\ccwd
9 j: R2 z6 P5 a8 e$ w\nofiles: t1 M- l; U5 p# Y8 f8 V
%---------------------------------------------------------------
) J }4 f3 u' [, V' v\def\sec#1{% e% b$ D9 j; v i( x7 Q+ f
\vskip.12in \noindent{\Large\bf\zihao{-4}\heiti #1} \vskip.1in}
. B7 x: A, A! `, Z\def\subsec#1{7 h' y. w9 i1 ?) r7 |- M; o& h
\vskip.1in \flushpar{\zihao{5}\heiti #1} \vskip.1in}# l. V$ V7 A. J: K, @( C8 _
\def\de#1{{\heiti\bf #1}\quad}/ ]+ z" B: p7 `$ {
; \: j1 k9 S& ^: ]) m
\begin{document}# o H7 }9 y2 x" m K* U
\TagsOnRight \abovedisplayskip=10.0pt plus 2.0pt minus 2.0pt
) J7 j7 o* G" p4 ~! ~% J\belowdisplayskip=10.0pt plus 2.0pt minus 2.0pt
3 [* T6 R! f; Y6 C) g%====================================================================
( [' ^+ R! }4 _\catcode`@=11 \long\def\@makefntext#1{\parindent 1em\noindent1 G8 S4 H7 a9 c) }
\hbox to 0pt{\hss$^{}$}#1} \catcode`\@=123 P9 f0 b1 G2 C6 f
%====================================================================1 h" k4 i4 `$ [% V
" G/ |2 f, Y+ L2 L" } \2 F
\renewcommand{\baselinestretch}{1.0}
! Q; F5 V# V' D! E' @/ v G) b4 Z" ~0 y m3 R; L. b* [ L" m6 U
' {; ]% s7 Q3 q\newfont{\htxt}{eufm10 scaled \magstep0}5 \ F* @7 O6 K- ?
%\newfam\euffam
+ b: K6 V0 J' c) v\font\tenthxt=eufm10 scaled \magstep0 \font\tenBbb=msbm10 scaled6 y5 \' Y, I/ Q4 k9 J
\magstep0 \font\tencyr=wncyr10 scaled \magstep0 \font\tenrm=cmr101 u6 e4 W" Z- n" n9 E" T& D1 J
scaled \magstep0 \font\tenbf=cmb10 scaled \magstep02 x/ n: b: W0 J1 ?0 W
- y! P8 |* o. K4 ~# T- S2 ^3 }' Y; n6 n
\def\cyr{\tencyr}7 g" t+ r; S% `
%\def\cyw{\eightcyr}
1 B' g8 f' I& y+ }) p%\def\Bbb{\tenBbb}
* r: |: G& G5 n8 C%\def\bbb{\eightcyr}) T. V2 I7 Y4 e( L$ Q. c
%\def\txt{\tenthxt}
y, G# h {6 X) k6 q
5 \" Z8 Q e. J* J% b# W5 F\def\ST{\songti\rm\relax} X3 I3 \1 O' m2 w. E
\def\HT{\heiti\bf\relax}
) C- B' f7 F6 F\def\FS{\fangsong\relax}9 a3 l( P& O: U
\def\KS{\kaishu\relax}2 v% G8 h a n$ Z' A5 O
\def\text#1{\hbox{\,#1\,}}7 J( i5 a [ n5 x2 q" M9 D
\def\pmb#1{\mbox{\boldmath $#1$}}6 \# g+ a: g; C1 C4 Z
\def\Cal#1{{\cal #1}}8 Z8 F) j& z. \: N$ s* j
5 @. N* p' n9 u( Y1 `8 \
\def\CA{\Cal A}
4 r5 M9 z/ K& X; z* s7 Y\def\CB{\Cal B}
0 Q+ n' f6 ^0 x\def\cC{\Cal C}
6 S9 N" X1 ]1 H- [9 e\def\CD{\Cal D}1 T3 d- \: v3 i0 n( [7 b: l5 u- y
\def\CE{\Cal E}# d1 d/ w7 n0 c9 I6 o+ K
\def\CF{\Cal F}
" e5 Z( Z. }2 l\def\CG{\Cal G}
; j5 }! V) W( h, {: E\def\CH{\Cal H}; N, l& J" l' s, Z9 `1 p
\def\CI{\Cal I}
; v0 B8 R' k" c+ d2 I\def\CJ{\Cal J}
. P4 ~) ~4 w$ P( |3 \ W\def\CK{\Cal K}
F1 J0 I: _8 [1 L9 y\def\CL{\Cal L}
4 \( i2 Y4 ^8 X" v [1 O\def\CM{\Cal M} B% d7 ~5 J) r* o! M/ T
\def\CN{\Cal N}- F; Y1 N- W# P$ B6 Y- ?4 M
\def\CO{\Cal O}3 M' B! e3 ~! s& Y" S- H3 |: Q
\def\CP{\Cal P}
. l A3 p, i1 b0 W\def\CQ{\Cal Q}
! t- E( Q7 j! m# M- s1 x\def\CR{\Cal R}
5 `8 ]- W9 K& X+ ]\def\CS{\Cal S}0 E" g. E6 \; g
\def\CT{\Cal T}
m5 c! M+ |( n( |\def\CU{\Cal U}
4 o' R" v: Z& l; ]1 F\def\CV{\Cal V}1 \$ D. U, a J3 C6 W# n( Q2 @8 g
\def\CW{\Cal W}2 ]! g1 W! W5 t$ H( ^7 Z7 Q
\def\CX{\Cal X}
& l3 U8 u' l. S1 I: H\def\CY{\Cal Y}
+ j; |' ~) W6 v2 C# N$ ?3 J\def\CZ{\Cal Z}
4 j8 l( |! ]1 d4 D m& Q9 E\def\BA {\hbox{\Bbb A}}( J6 q$ H4 U _; m: [* |% N0 d6 B$ ~
\def\BB {\hbox{\Bbb B}}
2 n" o$ Y& j9 K/ m, i: |\def\BC {\hbox{\Bbb C}}& Y" o2 K: `( F( j" k2 Z
\def\BD {\hbox{\Bbb D}}
: T* b% r3 t. \; F. [\def\BE {\hbox{\Bbb E}}
) e. c: h/ |% T+ x2 `3 }\def\BF {\hbox{\Bbb F}}4 g8 E+ T e3 m* W) ~' ?/ y
\def\BG {\hbox{\Bbb G}}( C& g, y3 `- J5 |5 l
\def\BI {\hbox{\Bbb I}} R$ ?, h+ _" O1 I8 o |# u4 S
\def\BJ {\hbox{\Bbb J}}" b# o* Q; V: H$ Q' k4 `4 t0 H
\def\BK {\hbox{\Bbb K}}1 a$ ?% `' P( A5 T" |! Q
\def\BL {\hbox{\Bbb L}}
& Z% @6 a" S9 w5 |" ^9 j" h4 Z9 h\def\BM {\hbox{\Bbb M}}
" ?! I0 m- d3 g9 T! s+ p/ P\def\BN {\hbox{\Bbb N}}/ K3 R2 M( l+ y! ^! _7 R5 Z
\def\BO {\hbox{\Bbb O}}
8 A4 D7 Q+ E, W' z6 p) g" F\def\BP {\hbox{\Bbb P}}- u* W& u# i, h. ?
\def\BQ {\hbox{\Bbb Q}}
3 t K# ]' S9 k J\def\BR {\hbox{\Bbb R}}
3 n5 a6 l& L- Q$ d% n0 ~) _\def\BS {\hbox{\Bbb S}}
& m' n" |2 _6 _) E+ g\def\BT {\hbox{\Bbb T}}
" d. f! J0 w) |6 u2 Y& R! ~5 @- I\def\BU {\hbox{\Bbb U}}+ V; r/ n* [" Y u- {
\def\BV {\hbox{\Bbb V}}
; h% {/ e# l( M$ k, `, h\def\BW {\hbox{\Bbb W}}7 c E# P) \/ G) b- c+ O# u
\def\BX {\hbox{\Bbb X}}
6 V/ `9 {9 Q/ e\def\BY {\hbox{\Bbb Y}}
# ]: H2 Q& r, `$ e( t* ~\def\BZ {\hbox{\Bbb Z}}8 O% P( m( C4 \1 y
\def\Gh{\hbox{\htxt\char'150}}" y7 v: f {: T% S: L
\def\GG{\hbox{\htxt\char'107}}) Y2 S3 y0 d! K7 ~$ @
) L1 _$ o! G, b
\def\text#1{\hbox{\,#1\,}}
7 O1 _0 y3 ]+ B( t; f g\def\pmb#1{\mbox{\boldmath $#1$}}# s8 K; @5 O9 y2 O0 b
\def\Cal#1{{\cal #1}}3 g: B. P3 A5 f
. J, G) j' p) g$ { D+ Z\newcommand{\orp}{\overline{\BR}_+}
% ~' N/ h* \" x\newcommand{\opm}{{\rm op}^{\frac{1}{2}-\delta}_M}
! X% ^+ O4 ^, B0 [/ [2 b; M\newcommand{\wot}{\widehat{\otimes}_\pi}1 Y: o- H* E) y4 h- X
$ k" z( M% F( N
%-----------------------作者定义8 i0 R* {+ d1 o+ s& j) o
) n$ U' E2 T. [$ g
+ c K4 v) X: @- T
%-----------------------作者定义结束
) w7 A# ?. \, W" V( v6 E+ Q8 k6 I\def\binom#1#2{{#1\choose#2}} I6 P6 j/ ^! S( u) E. n( L' r
\def\qed{\hfill\raisebox{0.1truecm}{\framebox[0.2truecm]{\ } } }, B3 o5 Y1 [4 t
\def\su{\mathop{\sum}\limits}
& {* k8 y4 z! m" P1 u\def\Cal#1{ {\cal #1 \rm} }5 n7 W: B( ?6 e: _0 c3 ^7 m# q$ ^
%---------------------------------------------------------------
" i2 f* ~5 {$ U1 J. K\def\evenhead{{\protect\small{\zihao{-5}\songti \hfill \qquad\qquad: N6 @# _; d* C# {( F, _% _. ^
\qquad} \hfill {\zihao{-5}\songti }}}- W/ O" ? p4 V l) Q3 D
\def\oddhead{{\protect\small {\zihao{-5}\songti }
- U. H4 [+ ]3 u- J% u i\hfill {\small\zihao{-5}\songti 方奇志: Total Dominating Set Games
7 c0 w9 C6 r9 N& v7 y* G}\hfill}}" | ?2 i1 g' \* ]0 i( e& X/ `" Y
%---------------------------------------------------------------
; m6 [2 i- s# s) s5 |4 }+ @6 z$ y: P1 x7 E+ K5 A+ _8 i
\vspace*{-13mm}5 M$ \# M P0 E9 a+ u# C# p
! W# w9 d2 U( Q9 C+ T# b$ K' H: |6 ^
\thispagestyle{empty}: e+ H! n+ w% s7 [
2 D0 w7 E4 A) b$ g+ p/ z, x- K
0 L* ~, f- V1 D K2 C+ y p
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
0 o8 ~+ m: @' f: g0 ?1 F% d& x
/ B! g& T$ L& d1 ]1 X4 ^
. Z, U; S' [+ j) j- \2 e5 Q\ziju{0.025} \vspace*{.26in}* d% ?8 k% @; v3 L
\begin{center}
, {' @6 e2 b) N{\heiti\zihao{2}\LARGE\bf \huge 序列覆盖映射的注记}%Semi-Fredholm 算子时的应用}
( Z* i+ h% _# v! H%\vskip.1in
6 m& i4 |8 B$ i" Y3 k# v%{\heiti\zihao{2}{\bf\huge Semi-Fredholm} 算子时的应用}
* {0 t0 l( O" K4 B7 r: ~: W- U\end{center}
/ B! t8 c9 |* [+ V: s! q% u\vskip.12in- x) V: m/ O5 _. O( q0 D
%-------------------------------------------------------------------------
( q; {( z% x/ G5 q# i& @%\footnotetext{}
# q+ b& M% m. y" i. g# K- _ ~%\footnotetext{}
0 ^) s3 X, j4 M* g%\footnotetext{}
' F& S* a2 ] v* o%\footnotetext{\hfill\thepage\hfill}
* h8 {, U& w! B/ `! g$ g8 t%\footnotetext{}
! z2 N7 I F( x: _& ^5 x6 W\footnotetext{收稿日期: 2003-07-08.} \footnotetext{基金项目:
& F4 h# U# \0 j# c- y* _6 Q5 q国家自然科学基金资助课题(No. 10271026),
% V2 k& T# `: G/ G" u+ @) R. `$ ]" X福建省自然科学基金资助项目(No. F0310010) ,& b2 M R; N+ ^1 y: d6 R) T0 ^$ v
福建省高校科技资助项目(No. K2001110).}+ C# J& {1 e6 d1 _$ a0 I2 t
%数学天元基金(No. TY10126022)及973计划(No. 2002cb312200)资助.}
4 v C- y8 E5 V9 i7 ~+ d\footnotetext{E-mail: linshou@public.ndptt.fj.cn} \footnotetext{*
0 \$ S7 s- l8 E9 @作者现在通信地址.}
5 o, e/ r& t* B3 C* u$ l4 P. W$ H8 E; D6 z( Y" D7 o
%------------------------------------------------------------------------- z. b0 m, u- \& K1 A
%\centerline{\Rightarrowrge\zihao{4}\songti 蔡俊亮}
9 O5 j: F5 O8 d: e7 L1 R- r%\vskip.1in
& ?( h; m" X3 O# `% J" N% s' w%\centerline{\small\zihao{6} (北京师范大学数学系, 北京, 100875, 中国)}
) o' A2 @! w( r* Y! {- v%\vskip .1in4 Q* l4 Y% j6 P& j1 V
\centerline{\fangsong\large\zihao{4} 杨 \ \ 凤$^{1,2}$,\quad 钮凯$^{2}$ } \vskip.1in8 n+ f u5 j e# Z
\centerline{\small\zihao{-5}(1. 漳州师范学院数学系, 漳州, 福建,) ~! |+ m& p7 v- O
363000;\ \ 2. 宁德师范高等专科学校数学系, 宁德, 福建, 352100)}
3 c v' _! D- U8 S v9 b\vskip.25in {\narrower\fangsong\zihao{-5}\small {\zihao{-5}\heiti* M7 h: ~6 _' b5 m: i; W
摘要:}\ \
! Q+ A% A6 x" @* Z4 J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,0 P1 S* W4 x1 ]8 S! n
度量空间上的序列覆盖$\pi$映射未 必是1序列覆盖映射.
* f, k& m) K* C
* h7 G* D, U; ^/ w& t{\zihao{-5}\heiti\tenbf 关键词:}\ \ 序列覆盖映射; 1序列覆盖映射;5 E* Y: e, s2 J& N! a
弱开映射; $\pi$映射; 商映射
4 A/ Z- [8 k/ x! m6 _: h8 N
# _! Z/ w2 F2 E{\tenbf\zihao{-5}\heiti MR(2000) 主题分类:}\ \ 54C10; 54D55; 54E407 S5 n7 ~: P4 n
/ {\tenbf\zihao{-5}\heiti 中图分类号:} O189.1; ?8 v- K9 \+ E
# O8 Y, ~1 ^: O2 j7 @
%%{\zihao{-5}\heiti 文献标识码:}\ \ A\qquad {\heiti\zihao{-5} 文章编号:}\ \
8 j* Q2 ]6 F a, a: D4 }0 h6 f%% 1000-0917%(2004)02-0229-078 Y& h) t5 r) f. s/ v0 g# @
8 a1 H, ?% ~3 t }- D; T" u- ^8 z
9 N- O d0 Q5 E9 R- j+ g( {\normalsize
3 _; _- f5 F8 Y3 i* j, S$ d- d" N6 Y6 h5 ^* P) c/ |
\baselineskip 15pt \vskip.15in
6 z/ w( b# A% l) B$ w {. y1 f, A% \7 u$ V1 Q
\sec{0 引言}
' N0 h: ?% k. y0 |, j- ]5 m
8 t4 v$ n8 K/ q6 I& L- d
( {# z1 C! v# c/ b" @ Z\sec{参考文献} \baselineskip 13pt {\footnotesize
v7 E M; ~6 k7 q% t& ]4 } X# b; r, S. I' R
\REF{[1]} Daves, C, Kahan, W.M., The rotation of eigenvectors by a8 P) v: c" m( c$ }* p
perturbation, {\it SIAM J Numer Anal.}, 1970, 1(2): 1-46.! N. C7 U8 g! V" i& n1 o* E
$ u3 c6 M& X% Y; O
}: ~' _! C% s0 r! k
: @# e; K7 m' q0 J/ \
\vskip .25in
: Z6 H, }, T6 L9 X A! o\begin{center}$ b& Q( n! H1 W& @# l
{\Large\bf Relative Perturbation Bounds for }\\[.1in]
3 [5 k/ J+ x4 X+ |/ l Q%vskip .13in
+ s0 u( e7 s" v1 ]! I2 Y. ]{\Large\bf the Subunitary Polar Factor }\\[.1in]
% s1 y! a) L2 k8 \7 S$ ]/ X%\vskip .18in- |" e4 t: y' p( s; d
{\Large\bf the Under Unitarily Invariant Norms}\\[.18in]6 a1 s" W! V9 x, D/ @
%\vskip .18in
8 P4 D1 {7 F7 U, b# _7 y; c{\normalsize\zihao{5} YANG Feng$^{1,2}$, \quad NIU Kai$^2$}\\[.1in]. C: t0 _$ w5 j9 d ]. L3 q9 S, C' ]
%\vskip .08in+ y; \# n1 y7 P% M0 F0 R2 Y; H8 }3 M
{\footnotesize\it(Department of Mathematics, South China Normal
( L6 B1 J0 i' P R G5 @* l! v+ XUniversity, Guangzhou, Guangdong, 510631,: ~$ p7 P' C1 N
P. R. China)}\\[.25in]
8 h: F1 D1 ?" | w%\vskip .1in
3 p7 n* P* \! v/ U1 ^%{\zihao{5} Liu Yanpei}
: z+ y8 s" X3 U' G6 F9 S1 G$ g! M$ ~%\vskip .08in
: ^; z) i* n& |# p4 x2 V0 a- o8 F5 B! \%{\footnotesize\it(Department of Mathematics, Northern Jiaotong University,: K; K) ]) J4 y) l0 S
%Beijing, 100044, P.~R.~China)}
; [6 k) B9 y7 E1 f/ r2 k\end{center}
$ D2 e+ V6 `3 {%\vskip .18in( l1 Z+ A" K7 e( v" m6 u" t
\baselineskip 14pt4 F9 \3 t: T D6 G
! u) {, V! k2 C; H% W- _' K
\zihao{5}\normalsize {\indent{\bf Abstract:}\ \1 ?0 A3 N- L2 j
( U, g& n( \. v7 t{\bf Key words:}\ \
/ S! j8 _$ C9 ^0 K& ?
* \4 \( B; ?6 Q) `% S7 L
) S D: U' b( H3 r8 I$ ^}
* `$ C. Y% ]/ U\end{document}
% C5 @% K- r; G0 U' _2 i |
zan
|