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全部话题 - 话题: proofed
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w********c
发帖数: 2632
1
☆─────────────────────────────────────☆
cannotforget (Shannon) 于 (Thu May 27 17:23:24 2004) 提到:
Hey Guys. Help me check the following proof.
Suppose that claim is incorrect. That is, there exists a curve, denoted by
S_0, on which you can find such parallel segment of length 1/n. (assumption *
)
There must be a highest point, say H0, and a lowest point, say L0, on the
curve. Without loss of generality, assume that if we trace the curve from A to
B, we will meet H0 first.
Shift S0 to the rig
w********c
发帖数: 2632
2
☆─────────────────────────────────────☆
cannotforget (Shannon) 于 (Thu May 27 17:25:55 2004) 提到:
Typo in my post. See below for corrrected assumption (*)
Hey Guys. Help me check the following proof.
Suppose that claim is incorrect. That is, there exists a curve, denoted by
S_0, on which you can NOT find such parallel segment of length 1/n.
(assumption *
)
There must be a highest point, say H0, and a lowest point, say L0, on the
curve. Without loss of generality, assume that if we trace the c
d******e
发帖数: 7844
3
来自主题: CS版 - 给力: a claimed proof for P==NP
这种proof每年都有,最后基本都是错的
T*****E
发帖数: 1432
4
周一去MC买了个i5,回来发现新蛋上有技嘉新出的支持usb3.0和sata 6的p55的主板
查了查论坛,发现P55芯片不支持CF/SLI后的USB 3.0,其他也没什么
我想我不太玩游戏,是不是买个USB 3.0和SATA 6的技嘉板,能做到future proof呢?
(i5应该至少用4年吧)
l***i
发帖数: 1309
5
来自主题: Programming版 - how to proof (转载)
【 以下文字转载自 Mathematics 讨论区 】
发信人: lanti (Ice+cream+inside), 信区: Mathematics
标 题: how to proof
发信站: BBS 未名空间站 (Wed Apr 2 10:38:31 2008)
(n choose 2) + (n+1 choose 2) = n^2
using combinatorial argument
o*******e
发帖数: 186
6
I want to use a box to describe the end of a proof (as in many books). Tried
'\Box' or '\box' but they don't work. Any body has ideas about it? Thanks a
lot.
s***a
发帖数: 1676
7
来自主题: TeX版 - 证明改成proof
在你的.cls文件里面搜索“证明”,看看是哪个变量
然后在\begin{document}之前,
\renewcommand\thevariableyoufound{Proof}
可以嘛 美女
n*******r
发帖数: 45
8
我是在网上买的 好像没有收据啥的啊 就是email通知了一下,之后就直接UPS寄过来了
。没啥凭据啊?不知道哪个是proof of purchase。
我把那个购买的email发过去,他们根本就不睬……郁闷
请教大家是哪个啊?我应该出示什么证明呢?
m********2
发帖数: 317
9
来自主题: Biology版 - 聚合酶polymerase 的proof-reading
有个疑问,现在用的高保真聚合酶为什么能高保真?
是proof reading 的功能很强吗》
m********2
发帖数: 317
10
来自主题: Biology版 - 聚合酶polymerase 的proof-reading
有个疑问,现在用的高保真聚合酶为什么能高保真?
是proof reading 的功能很强吗》
z********4
发帖数: 701
11
来自主题: Biology版 - 聚合酶polymerase 的proof-reading
有没有proof reading功能对保真性影响很大,但是活性中心本身也是一个因素,不同
来源的DNA聚合酶活性中心差异导致的保真性差别也可以是量级的。不过商业化的PCR用
酶基本都是复制型DNA聚合酶,即使没有校正功能保真性也是很高的,Taq在标准条件下
也是4-5万个碱基里面出个突变,用来clone一般够了,多挑几个克隆只要运气不是太
差应该没问题。
m********2
发帖数: 317
12
来自主题: Biology版 - 聚合酶polymerase 的proof-reading
寿命长的物种或者说突变率低的物种是不是聚合酶的proof/reading的功能就强呢?
c*******d
发帖数: 338
13
proof不是责任编辑来管的吧?
h*s
发帖数: 574
14
来自主题: Economics版 - 秀才遇到兵-My Proof
看看上面的争论,感觉只有一个,秀才遇到兵,
为了节省来晚者的时间,做如下总结
Definition1: A={秀才|有逻辑的人}
Definition2: B={兵|complement of A}
Axiom1:大家受了多年的教育,有对逻辑,修养高低的判别能力
Axiom2:逻辑,修养高低和所在学校是不是top10无关
Theorem: some debaters are included in B
Proof:
Step1:
1:说林毅夫没在一流期刊上发过文章,结果被disporve后转而质疑
Econ Deve & Cult Change。无逻辑表现,一方面接受了AER, JPE是一流期刊,一方面
忘记了林毅夫不管发在AER,JPE还是EDCC上的文章都属于发展经济学
(建议,批评林毅夫要抓住他做了吴征答辩主席一事)
2:认为林毅夫不算active researcher,那你怎么解释钱颖一论文数量在同时期,同样
选择样本里还低于林毅夫
Publication from 1990-2000
http://student.ulb.ac.be/~tcoupe/update/top100
c*******h
发帖数: 1096
15
来自主题: Mathematics版 - where can i find a proof for
the statement might not have been rigorously stated
and that's why i need to see a proof for that---i even need to see
the complete proposition
roughly speaking, this makes sense, except for some special cases.
say, a sine wave has limits ranging -1 to 1.
if you happen to know some similar statement in a book, please let me know.
thank you very much
A*******r
发帖数: 768
16
{\bf Proof} \qed
A****s
发帖数: 129
17
来自主题: Mathematics版 - Is this proof right?
statement: in an open interval (a,b), f(x/2+y/2)<=1/2f(x)+1/2f(y)
f (a,b) to R continous --> f is convex.
sketch of proof: consider the function of t, t in (0,1), p,q constants in(a,
b):
g(t)=f(tp+(1-t)q)-tf(p)+(1-t)f(q). g is continuous.
g^-1((0,inf)) is open since (0,inf) is open, i.e., the points in (0,1)
which make g>0 are indeed a family of disjoint open intervals.
suppose for some p,q,and t' such that g(t')>0. then t' is in one of the open
intervals. then for those two endpoints of this op
c****o
发帖数: 248
f***r
发帖数: 344
19
来自主题: NanoST版 - Page proof in Advanced Materials
How long do you normally wait to get the page proof after paper accepted by
Advanced Materials? I don't get it yet after one sharp month. I know a lot
of journals commonly 1-2 weeks.
A*******0
发帖数: 33
20
本人2009年回国参加执业药师考试,考试倒是通过了,只是到现在都还没有拿到资格证
书。
始终都没有弄清楚怎么办理“official proof of license and registration”
拿到资格证,注册证后该怎么办呢?是随便找一家翻译公证的机构办理就可以吗?还是
必须到发证的药监局办理证明,签字,盖章。 普通翻译公证的机构会将文件签字,盖
章,封在信封里吗?
还有如果有了资格证,注册证,还需要北京药师协会的证明吗?
先行谢过,感激不尽!
w*****7
发帖数: 321
21
各位大侠:
我的注册证是在广东省拿到的,但是我问了广东省药监局不给办英文的proof.
请问有过经历的大侠是在哪开到的,流程是什么?
多谢
n****m
发帖数: 84
22
想问下大家,fpgee报名用的proof of license and registration应该从国内的哪个单
位开具? 需要英文公证吗? 非常感谢
D**u
发帖数: 204
23
来自主题: Science版 - Re: [转载] proof needed
Lemma: if p1+p2+...+pm=1. ( 0<= P(i) <= 1), then
a1^p1*...*am^pm <= a1*p1+...+am*pm.
Proof of your problem:
(q1/p1)^p1*...*(qm/pm)^pm <=(using Lemma) q1/p1*p1+...+qm/pm*pm =1
Then take log at both sides.
w*******y
发帖数: 60932
24
The Today Show deal for the Living Proof shampoo, conditioner, and
thickening cream set is up and working. I purchased 2 but had to do two
separate orders as there is a limit of 1 per customer. Anyway the website
that Today Show tells you to go to is wrong. Go to this website and it will
work! And you get $72 worth of products for $5 and $5 shipping! Not bad for
what it is worth and you could possible give each item out as different
gifts to people. I'm thinking about doing that for my daughter'... 阅读全帖
w*******y
发帖数: 60932
25
Just ordered for my device two full wraps for $16.
Use code MONDAY.
Hope people can take advantage and wrap your new Black Friday Gadgets
BodyGuardz are a clear film that covers the screen and/or the entire body of
a device providing scratch protection from outside elements.
BodyGuardz:
offer lifetime replacements
are optically clear
custom fit each device
provide full body and screen protection
require no special care or maintenance
BodyGuardz scratch-proof transparent skins are designed to cus... 阅读全帖
w*******y
发帖数: 60932
26
Thermos Element 5 20 Ounce Stainless Leak-Proof Travel Bottle $13.99 + FS
Link:
http://www.dailydeals.net/c-11-2nd-chance.aspx
w*******y
发帖数: 60932
27
Lightweight Bulletproof Bullet Proof Vest Concealable Body Armor IIIA 3A
Light S-XL
You may need such one if you need to walk through dangerous cities like
Chicago. or go across the border to Mexico.
Happened to find it and just thought it might be cool to wear one.
I just put it in SPORTS category although it would be a deadly sport.
LINKY is here:
http://www.amazon.com/dp/B0042246IO/ref=nosim/
w*******y
发帖数: 60932
28
ThermoWorks has the Super Fast Splash proof Thermapen on sale for 79.00 and
free shipping using code: FREESHIP11
Link:
http://www.thermoworks.com/products/thermapen/splashproof_therm
Order a Thermapen in the next 24 hours and get FREE SHIPPING (FedEx Ground).
Use this Promo Code in our shopping cart to activate the free shipping
offer. Available only to our email subscribers. Expires Saturday (Jan. 15)
at 12:00 noon MST.
CODE: FREESHIP11
This is a great price on an item that never seems to be on... 阅读全帖
w*******y
发帖数: 60932
29
'm starting to like these Langers Juice promos, they now have Top Spin 4 for
360, PS3 and Wii for $2.99 with 12 proofs of purchase. If anybody needs any
upc codes pm me, I have quite a few left over, I have been collecting them
since that Raving Rabbids promo they had a few months back
Link:
http://www.langers.com/Topspin/Topspin_rebate.html
EDIT: found this video about the promo on their facebook page, apparently
its a tv spot
Got this from CAG
w*******y
发帖数: 60932
30
I found this limited uses deal while searching an alternative BlueTooth
keyboard for my new HP TouchPad. Even the everyday price is reasonable at
Meritline if you check the web its the cheapest with free shipping.
Meritline:
http://www.meritline.com/showproduct.aspx?ProductID=67487&SENam
is carrying these for regular $39.99 but is only $29.99 Coupon Code:
MLCK08D24NL1 (Exp after 100 uses). Tax in CA, MA
Manufacturer web page is here:
http://www.scosche.com/consumer-tech/product/2083
SCOSCHE BT... 阅读全帖
d*****r
发帖数: 39446
31
来自主题: _SeattleStartup版 - [通知] 恭喜 proof 成为本俱乐部正式成员
【此篇文章是由自动发信系统所张贴】
proof 已经成为本俱乐部的正式成员, 特此通知.
b*****e
发帖数: 14299
32
来自主题: _FilmPhotography版 - [合集] 大幅的数码proof
☆─────────────────────────────────────☆
blueice (蓝色北冰洋) 于 (Sun Dec 10 16:57:23 2006) 提到:
下午摁大幅时的数码proof。
http://www.pbase.com/blueice2004/image/71477176/original
大幅工作照:
☆─────────────────────────────────────☆
malix (马七) 于 (Sun Dec 10 17:41:48 2006) 提到:
立志steve shore啦?
☆─────────────────────────────────────☆
ZCPlayer (顺其自然) 于 (Sun Dec 10 20:13:55 2006) 提到:
连内容都一样,专门找70年代的车来照

☆─────────────────────────────────────☆
syzygy (syzygy) 于 (Mon Dec 11 00:56:18 2006) 提到:
90mm头?
boge
B**********r
发帖数: 812
33
来自主题: Immigration版 - 被 NOID了,请大家帮忙想想办法
参看知名律师网上的
your response should prove your evidence is at least 51% believable to IO
http://www.niwus.com/art0022.html
移民申请的举证标准及RFE问题
按照移民局的工作程序,如果移民官在审理案件时发现某些主要证据缺失,可以要求申
请人补充证据
(RFE)。如果主要证据齐全,移民官则需要批准申请,而不必再要求申请人补充一些
无关紧要的材料。
不过,在实际操作中,有些移民官并不完全遵守工作程序,在申请人已经提供了足够的
证据后,仍然要求
申请人补充材料。长此以往,滥发RFE便成为影响移民局工作效率的固疾。移民局曾几
度以备忘录的方式,
澄清发放补证通知的标准,并要求移民官予以执行。
移民局在备忘录中反复澄清移民申请的举证标准。在此,我们对美国法律中的两种不同
举证标准做一简单
介绍。一般而言,民事和行政法程序中的举证标准是“占优势的证据” (
preponderance of the
evidence),而刑法程序的举证标准则是“确凿无疑的证据”(beyond reasona... 阅读全帖
d********e
发帖数: 925
34
来自主题: Collectibles版 - China Silver Panda Price Guide (zt+link)
http://www.collectors-society.com/JournalDetail.aspx?JournalEnt
China Silver Panda Price Guide
Posted: 3/31/2008 12:34:01 PM | Views:16806
02/20/11 today's changes
1990 Raw and PF69UC +$20, 1992 PF69UC +$50, 2007 3Y set all prices adjusted
Prices are rising for regular issue Pandas prior to 2003. Most Pandas now
going to China
http://www.rarecoincollector.net/
PANDA NEWS: "Gold and Silver Panda Coin Buyers Guide" by Peter Anthony is a
great new book that every Panda collector should own. Breaks ... 阅读全帖
C****i
发帖数: 1776
35
来自主题: TrustInJesus版 - 威斯敏斯德信条 导读
The Committee on Christian Education
of the Orthodox Presbyterian Church
THE
CONFESSION OF FAITH
AND CATECHISMS
The Westminster Confession of Faith and Catechisms
as adopted by
The Orthodox Presbyterian Church
WITH PROOF TEXTS? 2005 by The Orthodox Presbyterian Church
Published by and available from:
The Committee on Christian Education
of the Orthodox Presbyterian Church
607 N. Easton Road, Bldg. E
Box P
Willow Grove, PA 19090-0920
Phone 215/830-0900
Also available from:
Great Commission Public... 阅读全帖
N*******8
发帖数: 1449
36
来自主题: TrustInJesus版 - 你相信没有神, 你有证据去证明吗?
请问老 E,你有能力证明神不不存在吗?
----------------------
发信人: Eloihim (真神), 信区: TrustInJesus
标 题: Re: 我相信沒有神(譯)
发信站: BBS 未名空间站 (Thu Apr 12 17:00:27 2012, 美东)
嘿嘿! 你有證據,我一定相信你。 你敢説有證據證明神不存在就不信神嗎?
-----------------------
请读下面这个文章.
http://www.philosophynow.org/issues/78/Wheres_The_Evidence
The New Atheism
Where’s The Evidence?
Michael Antony argues that the New Atheists miss the mark.
“A wise man,” wrote Hume, “proportions his belief to the evidence.” This
is a formulation of evidentialism – the view that a bel... 阅读全帖
L***y
发帖数: 376
37
来自主题: GunsAndGears版 - 各州 Hunter Education 要求
來源:http://www.ihea.com/hunting-and-shooting/requirements/hunter-education-requirements
Alabama
Anyone born on or after August 1, 1977 must show proof of completing a
Hunter Education course prior to purchasing a hunting license except active
duty U.S. military personnel, Alabama residents who are active members of
the National Guard of the United States, and persons certified by the
Alabama Peace Officers Standards and Training Commission as law enforcement
officers who are employed by a law enf... 阅读全帖
t******n
发帖数: 2939
38
☆─────────────────────────────────────☆
l63 (l63) 于 (Thu May 23 00:34:22 2013, 美东) 提到:
假设素数只有有限个, 记为 p_1,p_2,...,p_k
考察 N = p_1*p_2*...*p_k + 1
可知: 对于任意i = 1,2,3,...,k, p_i 不能整除 N
由素数的定义:
a是素数 <=> a是大于1的自然数, 且a不被任何小于a的素数整除
可知: N是素数
这与素数只有p_1,p_2,...,p_k矛盾.
故假设不成立.
所以素数有无穷多个.
☆─────────────────────────────────────☆
l63 (l63) 于 (Thu May 23 00:37:03 2013, 美东) 提到:
在承认素数的这个等价定义 (即 a是素数 <=> a是大于1的自然数, 且a不被任何小于a
的素数整除) 的前提下, 居然有人会认为这个证明是错的, 或者是不完备的.
我实在不能理解.
求问一下大家, 是不是有的人的脑子天生有缺陷, 根本怎么教都不会明白... 阅读全帖
D**o
发帖数: 2653
39
来自主题: Mathematics版 - 关于煙花不堪剪
注意作者 \author{YHBKJ}
Atiyah-Bott Localization 1
2012-09-05 09:24:19
\documentclass[a4paper,12pt]{article}
\usepackage{amsfonts}
\usepackage{amsmath,amsthm,amssymb}
\usepackage{CJK,graphicx}
\usepackage{amscd}
\usepackage{amssymb}
\newtheorem{theorem}{Theorem}[section]
\newtheorem{corollary}{Corollary}[section]
\newtheorem{definition}{Definition}[section]
\newtheorem{lemma}{Lemma}[section]
\begin{document}
\title{\textbf{\Huge{Atiyah-Bott Localization 1}}}\author{YHBKJ}\date{}\
maketitle
\begin{ab... 阅读全帖
d*****4
发帖数: 6237
40
来自主题: Military版 - 其实白人中很多人也很左的
This quotation is frequently but mistakenly attributed to Churchill.
It is anyway unlikely that Churchill would subscribe to this
philosophy: He was a swashbuckling soldier at 20, and a Conservative
member of Parliament at 25. A couple of years later he switched to the
Liberal Party (which was not liberal in the modern sense), and later
went back to the Conservatives.
The phrase originated with Francois Guisot (1787-1874): "Not to be a
republican at twenty is proof of want of heart; to be one at... 阅读全帖
d*******g
发帖数: 1265
41
来自主题: Mathematics版 - 朱熹平的临门一脚的影响
以下是摘自Perelman的Wikipedia条目中关于庞加莱猜想验证过程的介绍。第二部分是
朱熹平的工作。我个人猜测Perelman隐退数学界的动机之一是这个事件:他觉得数学界
的人太不纯粹了。
Verification
Since 2003, Perelman's program has attracted increasing attention from the
mathematical community. In April 2003, he accepted an invitation to visit
the Massachusetts Institute of Technology, Princeton University, Stony Brook
University, Columbia University and New York University, where he gave a
series of talks on his work.[18]
Three independent groups of scholars have verified that ... 阅读全帖
M**q
发帖数: 24
42
The Coin Analyst: 2014 Baseball Commemorative Coins Market Q & A
By Louis Golino on April 7, 2014 11:49 AM
1. How much are the 2014 Baseball Commemorative Coins graded at the
Baltimore Whitman Expo last week selling for? Will these coins hold their
premiums?
In the first few days after the Baltimore Whitman expo, coins with special
show labels (“Opening Day Releases” for NGC and “First Pitch Baltimore”
for PCGS) began to appear for sale on e-Bay. Prices for the gold MS and PF-
70 coins quickly r... 阅读全帖
d******s
发帖数: 180
43
来自主题: Mathematics版 - Goldston撰文介绍老张的工作
http://aimath.org/news/primegaps70m/
第一段就很有料,四月后期投稿,五月中旬便接受,对于一篇55页的paper来说速度惊
人。
Zhang's Theorem on Bounded Gaps Between Primes
by Dan Goldston
In late April 2013 Yitang Zhang of the University of New Hampshire submitted
a paper to the Annals of Mathematics proving that there are infinitely many
pairs of primes that differ by less than 70 million. The proof of this
amazing result was verified with high confidence by several experts in the
field and accepted for publication. A public slightly re... 阅读全帖
i****g
发帖数: 3896
44
来自主题: Mathematics版 - 张老师是个chain smoker
能不能不要只盯着这些无聊的生活细节啊?他的学生对他评价都很高,绝对是一位优秀
的老师:
This man taught me calculus. A wonderful gentleman and a phenomenal
instructor.
[+]Temorse 282 points283 points284 points 12 hours ago (11 children)
[–]Temorse 282 points283 points284 points 12 hours ago
I was also lucky enough to have him as my calc professor, twice. The first
thing he would tell us at the beginning of each term was, "My name is Yitang
Zhang, but in China, you would call me Zhang Yitang." Then he would erase
both names off the white ... 阅读全帖
f**d
发帖数: 768
45
来自主题: Neuroscience版 - eBook: From computer to brain
这是一本计算神经科学的优秀著作,全文拷贝这里(图和公式缺),有兴趣的同学可以
阅读
如需要,我可以分享PDF文件(--仅供个人学习,无商业用途)
From Computer to Brain
William W. Lytton
From Computer to Brain
Foundations of Computational Neuroscience
Springer
William W. Lytton, M.D.
Associate Professor, State University of New York, Downstato, Brooklyn, NY
Visiting Associate Professor, University of Wisconsin, Madison
Visiting Associate Professor, Polytechnic University, Brooklyn, NY
Staff Neurologist., Kings County Hospital, Brooklyn, NY
In From Computer to Brain: ... 阅读全帖
h*****e
发帖数: 3619
46
来自主题: Faculty版 - 美国绿卡到葡萄牙开会 (转载)
WHAT TO SUBMIT
Fill out the application form, sign twice (no. 37 and bottom of page) and
include a passport-size color photo (not older than 6 months) glued on the
space provided. If the applicant cannot appear in person (if residing more
than 2 hours away by car), the signature on the visa form must be notarized
by an American Notary Public. Please indicate a daytime phone number.
Passport or travel document, which must be valid for at least three months
after the expiration of the visa for whi... 阅读全帖
y**********0
发帖数: 521
47
【 以下文字转载自 Mathematics 讨论区 】
发信人: guinea (猪猪), 信区: Mathematics
标 题: 田刚抄袭最新证据(唐纳尔森教授撰文)
发信站: BBS 未名空间站 (Wed Nov 20 21:06:17 2013, 美东)
全文见
Xiuxiong Chen, Simon Donaldson, Song Sun
September 19, 2013
http://www2.imperial.ac.uk/~skdona/KEDEVELOPMENTS-9-19-2013.PDF
部分摘录
Gang Tian has made claims to credit for these results. The purpose of this
document is to rebut these claims on the grounds of originality, priority
and correctness of the mathematical arguments. We acknowledge Tian's many
contributio... 阅读全帖
s*****V
发帖数: 21731
48
【 以下文字转载自 Mathematics 讨论区 】
发信人: guinea (猪猪), 信区: Mathematics
标 题: 田刚抄袭最新证据(唐纳尔森教授撰文)
发信站: BBS 未名空间站 (Wed Nov 20 21:06:17 2013, 美东)
全文见
Xiuxiong Chen, Simon Donaldson, Song Sun
September 19, 2013
http://www2.imperial.ac.uk/~skdona/KEDEVELOPMENTS-9-19-2013.PDF
部分摘录
Gang Tian has made claims to credit for these results. The purpose of this
document is to rebut these claims on the grounds of originality, priority
and correctness of the mathematical arguments. We acknowledge Tian's many
contributio... 阅读全帖
n**1
发帖数: 318
49
来自主题: USANews版 - 2014: The Year Propaganda Came Of Age
http://www.zerohedge.com/news/2014-12-27/2014-year-propaganda-c
2014: The Year Propaganda Came Of Age
From just about as early in my life as I can remember, growing up as a child
in Holland, there were stories about World War II, and not just about Anne
Frank and the huge amounts of people who, like her, had been dragged off to
camps in eastern Europe never to come back, but also about the thousands who
had risked their lives to hide Jewish and other refugees, and the scores
who had been execute... 阅读全帖
s********d
发帖数: 2216
50
来自主题: ebiz版 - 好好的一个上午给糟蹋了
一大早的收到 paypal limited email, 要提供一堆文件。
Date Limited Required Response Status Action
Mar 26, 2012 Proof of Address
Mar 26, 2012 Provide Proof Of SSN
Mar 26, 2012 Personal or business bank statements
Mar 26, 2012 Proof of shipping/delivery of items to buyer
Mar 26, 2012 Proof of shipping/delivery of items to buyer
Mar 26, 2012 Proof of shipping/delivery of items to buyer
Mar 26, 2012 Proof of shipping/delivery of items to buyer
Mar 26, 2012 Proof of shipping/deliver... 阅读全帖
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