s*****V 发帖数: 21731 | 1 找到的貌似后续 4
我们今天从AS定理的远祖开始来考察一下AS定理的世系演化。
平面三角形的内角和等于180度这一定理,不能算是AS定理最早的祖先,但算得是一个
好的祖先代表。
这个简单例子让我们看到了几何体上有代数,三对边夹角之和是个常数。因此,我们知
道无穷多个三角形之所以能归为一类,用边数为3或角数为3来判断都不够好,而是因为
有一个共同的不变量π。这个不变量是几何不变量。
三角形还有别的不变量吗?当然有。大家可以验算一下:边数-顶点数=0对所有三角形
也成立(不许笑!),而且与几何不变量π没有关系。
这个不变数对任意多边形(平面的或立体的)都成立:边数-顶点数=0。有一点点意思
了吧。敏感的同学可能马上看到这个不变数0是由于任意多边形都是一个闭合的东东。
更多一点意思的是,推广到无穷多边形也是成立的,特别是对圆周也成立,虽然边和顶
点已经难以看出来了。
于是我们发现这个不变数0原来是不仅是三角形的,也不仅是多边形的,也不仅是圆周
的,而是任意封闭曲线的性质。任意封闭曲线有一个不变数0。这就是封闭曲线的所谓
拓扑不变量。到这时,我们看不到这个0与边数或顶点数之类的关系,边、顶点、... 阅读全帖 |
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T**********e 发帖数: 29576 | 2 Meet Trump Inauguration Singer Jackie Evancho’s Transgender Sister,
Juliet
When it was revealed Wednesday that 16-year-old Jackie Evancho, best known
as the child-prodigy opera singer of America’s Got Talent Season 5,
had
signed on to sing the national anthem at Donald Trump’s presidential
inauguration, the announcement raised a few eyebrows — and not just
because
of multiple reports that Trump has had trouble recruiting musical acts for
the January ceremony, or because J... 阅读全帖 |
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i****a 发帖数: 36252 | 3 http://www.engadget.com/2010/12/09/cypress-hill-backup-singer-sees-
himself-in-grand-theft-auto-sue/
Cypress Hill backup singer sees himself in Grand Theft Auto, sues Rockstar
By Joseph L. Flatley posted Dec 9th 2010 4:25PM
Our friends, this next post is fraught with danger, excitement, and West
Coast rappers with names like B-Real, Sen Dog, and Michael "Shagg"
Washington. Indeed, the latter is alleging that Rockstar appropriated his
likeness for the character CJ, a hood in Grand Theft Auto: Sa... 阅读全帖 |
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w*******y 发帖数: 60932 | 4 Link:
http://www.amazon.com/The-Justice-Game-ebook/dp/B002DYMBL2/ref=
Digital List Price: $11.99 What's this?
Print List Price: $13.99
Kindle Price: $0.00 includes free wireless delivery via Amazon
Whispernet
You Save: $13.99 (100%)
Christy Awardwinning novelist and lawyer Singer (Directed Verdict) lets the
action sprint out of the gate with a murder in the first few pages. With
murderer and victim dead, the moral issue of gun control takes center stage
in the book, with a number... 阅读全帖 |
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p******e 发帖数: 897 | 5 Singer Joy Villa—who gained widespread attention for her pro-Trump dress at
the Grammy’s—has accused Cory Lewandowski, President Trump’s former
campaign manager, of sexual misconduct.
The 31-year-old singer alleges that Lewandowski slapped her on the butt in
November during a holiday party at the Trump International Hotel in
Washington, D.C., Politico reports. Villa was reportedly introduced to
Lewandowksi for the first time, by a friend at the invite-only party.
Moments later, she claims that h... 阅读全帖 |
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b*******a 发帖数: 167 | 6 嗯,我也遇到同样的情况。在craigslist看到过35块brother和30块singer的缝纫机,
都是新款,照片看上去很不错。联系买家,brother那家至少还回了封信说卖掉了,
singer根本就没搭理我。又便宜又好的东西总是很抢手,呵呵。
我有一个朋友在Target花三十块买了一台简易的缝纫机,Walmart类似的十来块就能买
到(如果有货的话,我经常路过Walmart,只有一次看到有)。她说不能用,后来我去帮
她看了,是松紧和针脚长度没调好,调好后用着感觉不错呢。只能踩平针,初学玩玩也
够用了。
Walmart有Brother LS-2125i,75块,算是正经缝纫机里最便宜的,可以踩出十种样式
。我觉得初学够用:平常主要是平针,它也有缝扣眼的功能,然后还有Z字形的线迹可
以用来缝边。
如果要一步到位,加一点点钱能多出好多种花样;再加一点点线,又能多出好多种花样
;再加一点点钱,又能多出好多花样;再加一点点钱,就可以绣花了。我好想要有台绣
花的机器啊,看电视上介绍用缝纫机绣花,很好玩。。。唉,算了,睡觉去了~
WALMART |
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P******n 发帖数: 1220 | 7 when I ate JiaoZi at noon in one of DongMen's Small restaurant. As I was
eating, on the other side of the table, there came two people, one girl and
one boy (or man). They were talking about pop song singers and some
professional things related. I suddently realized she could be the pop singer
at that time who originated from SWJTU. But I did not even dare to look at
them at all. hoho |
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M*********e 发帖数: 3153 | 8 http://www.globaltvbc.com/entertainment/Toronto+singer+dies+Cape+Breton+coyote+attack/2154121/story.html
TORONTO — Taylor Mitchell was on the cusp of a dream: At 19 years old, she
had just released her first record, learned to drive, bought a car, packed
her guitar and drove east from Ontario for a series of small performances in
the Maritimes.
On a break between gigs Tuesday afternoon, the Toronto singer and songwriter
hiked alone along the popular Skyline Trail in Cape Breton Highlands
Nationa |
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l**********2 发帖数: 450 | 11 However, singer is from Kissinger.
Song is refered to Song dynasty of China. |
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l****z 发帖数: 29846 | 12 January 2, 2012
In discussing the recent release of some 5,000 Climategate e-mails, blogger
Anthony Watts uses the clever headline "They are real -- and they're
spectacular." He credits Jerry Seinfeld as the source. Following his
example, I choose the headline "Fake! Fake! Fake! Fake!" -- also taken from
a Seinfeld episode -- in discussing the surface temperatures generally
reported for the latter part of the 20th century; they form the science
basis for prosperity-killing international clim... 阅读全帖 |
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z*****l 发帖数: 275 | 13 本人有一台9成新的SINGER缝纫机,近期打算回国,打算卖掉。售价90刀。
PS: 请问有没有人知道哪里有收购此类物品的店面啊,我只知道有家once upon a
child会收购婴幼儿物品。谢谢! |
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f****h 发帖数: 1199 | 14 【label ready】 求购 SINGER 7256 Fashion Mate 70-Stitch Computerized Free-
Arm Sewing Machine with Automatic Needle Threader@120
pm, thanks.
12/16号之前有效,谢谢。 |
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z*****l 发帖数: 275 | 15 本人有一台9成新的SINGER缝纫机,近期打算回国,打算卖掉。售价90刀。
PS: 请问有没有人知道哪里有收购此类物品的店面啊,我只知道有家once upon a
child会收购婴幼儿物品。谢谢! |
|
f****h 发帖数: 1199 | 16 【label ready】 求购 SINGER 7256 Fashion Mate 70-Stitch Computerized Free-
Arm Sewing Machine with Automatic Needle Threader@120
pm, thanks.
12/16号之前有效,谢谢。 |
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g******a 发帖数: 4774 | 17 1. Challenger Abstract LLC是做Title Insurance?
保费近$2000还OK?
2. Michael Singer是做什么的?收$200如何?
谢谢! |
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g*****b 发帖数: 40 | 19 请问用RA GIFT CERTIFICATE (给LD 买过敏药,拿到的ALLERGY REWARDS)
买的东西可以做RA SINGER CHECK REBATE 吗? |
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p**9 发帖数: 63 | 22 Yes! You are right.
Singers are much more gifted ......... |
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P*********t 发帖数: 4451 | 23 Yeah that's the one i saw.
Thanks!
just found out she is going to be part owner of the Fish!
Stacy Ann Ferguson, better known as "Fergie," the lead singer of the Los
Angeles music group the Black Eyed Peas
China Daily Black Eyed Peas' Fergie gets approval of NFL owners -
4 days ago |
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l******m 发帖数: 397 | 24 想开始学习裁剪布艺啥的,但是不想花太多钱买个缝纫机。
看到有人卖singer 1120的二手缝纫机,据说基本没用过;麻烦大家看看合适吗?我是
初学者,但是想以后可以自己做窗帘枕套什么的。
另外卖家要价40刀,大家看怎么样?
多谢指点了! |
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S*M 发帖数: 10832 | 25 给婚礼吃饭选得playlist,做背景音乐
以九十年代女singer songwriter为主
也有不少女声主唱的乐队
全是英文的,中文的还没整
长这么大了,让我感触最深的,还是中学时候听得音乐
playlist
http://www.youtube.com/playlist?list=PL8FE457FC2EE2EA2A
I Dont Wanna Wait -- Paula Cole
This is to Mother You -- Sinead O'Connor
Gypsy -- Suzanne Vega
Across the Universe -- Fiona Apple
King of Pain -- Alanis Morissette
Crucify -- Tori Amos
Out There -- Blake Babies
Strong Enough -- Sheryl Crow
Stay -- Lisa Loeb
Kiss Me -- Sixpence None the Richer
Bizarre Love Triangle -- Frente
Fade into Y... 阅读全帖 |
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b*****h 发帖数: 3386 | 27 【 以下文字转载自 WorldNews 讨论区 】
发信人: badfish (badfish), 信区: WorldNews
标 题: Susan Boyle!!! - Singer - Britains Got Talent
发信站: BBS 未名空间站 (Thu Apr 16 17:50:31 2009), 转信
xdjm们,俺今早在车上听到电台播,俺都惊呆了。
刚刚找来youtube的录像,看看Simon Cowell的表情,priceless. 哈哈
http://www.youtube.com/watch?v=9lp0IWv8QZY
47 Year old Susan Boyle wows the judges with her performance in the
auditions for Britains Got Talent, singing I dreamed a dream from Les
Miserables.
Here are the Lyrics(Thanks to NewHotdox) -
I dreamed a dream in time gone |
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p******0 发帖数: 200 | 28 这两天正热播呢,可惜不让直接贴视频过来
http://www.youtube.com/watch?v=9lp0IWv8QZY
Susan Boyle - Singer - Britains Got Talent 2009
47 Year old Susan Boyle wows the judges with her performance in the
auditions for Britains Got Talent, singing I dreamed a dream from Les
Miserables. |
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n********s 发帖数: 144 | 29 Faltings Theorem 和 Atiyah-Singer Index Theorem怎么那么相似?都是关于方程的
,都是关于方程解的个数的,方程解的个数和空间的拓扑性质有关。为啥呢?
好奇,门外汉请教。 |
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s*****V 发帖数: 21731 | 30 http://blog.sciencenet.cn/blog-81613-239600.html
闲论Atiyah-Singer指标定理
几番被人转载,已经不知道原文作者在哪儿了。感觉很不错,值得看一看
Nowadays, mathematicians tend to over-abstract things that in fact cannot be
further abstracted, which not only dilutes the essence of concepts but also
drives away potential students and users, and eventually, if this
pathological mood is not cured, will make a lot of mathematicians breadless.
---------Vladimir Igorevich Arnold
开场白
余观天下学数众才,体察愈久,遗憾益多。开始决定献身数学时,... 阅读全帖 |
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p****y 发帖数: 23737 | 31 http://www.phil.pku.edu.cn/personal/wugsh/sources/liberateofanimal/index.html
《动物解放》是动物保护运动的圣经,是生命伦理学的经典之作,是素食主义的宣言。
动物与人类同属自然的生灵,但人类却在根深蒂固的动物歧视下,对于与人一样有知觉
、有痛觉的动物们肆意剥削、欺凌和杀戮。《动物解放》一书,将人类应当如何对待非
人动物的问题,作为一个伦理问题来探讨,告诉读者做一个素食主义者,会使人类与动
物和睦相处,也将拯救不堪重负的地球。对其他生命的尊重正是对人类生命的关注;解
放动物,就是解放人类自己。
《动物解放》-作者介绍
彼得·辛格彼得·辛格(Peter Singer,1946-),著名伦理学家,现任教于澳大利亚
莫纳虚大学哲学系。曾任国际伦理学学会主席,是世界动物保护运动的倡导者。其代表
作《动物解放》一书从1975年出版以来,被翻译成二十多种文字,在几十个国家出版。
英文版的重版多达26次。
《动物解放》-出版背景
提倡素食主义
1973年4月5日,彼得·辛格在《纽约书评》上撰文,首次提出“动物解... 阅读全帖 |
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w*******y 发帖数: 60932 | 32 This extraordinary sewing kit fits conveniently into a cube, but expands to
reveal 70 piece set!
Singer Sewing Cube -Includes 70 Pieces:
http://cgi.ebay.com/ws/eBayISAPI.dll?ViewItem&item=290443664857
Youll have all the tools you need at your disposal to complete nearly any
sewing project.
When not in use this well designed kit doesnt take up much space and can
serve as a decorative element in your home.
Features include:
40 Spools of thread
10 Needles
10 Straight pins
5 Safety pins
1 Scissors
1 |
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g******y 发帖数: 2517 | 35 亚马逊Deal of the Day: SINGER Fashion Mate 70-Stitch Sewing Machine, 40% Off
http://amzn.to/JoRPDp |
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h****d 发帖数: 1420 | 36 不少在哭求美国干涉军啊。打酱油的也不少。 哈哈
Barack Obama's profile photo
Barack Obama
557 comments
陈学峰's profile photo
陈学峰 - 这是什么东东?
11:12 AM
Turbidsoul Chen's profile photo
Turbidsoul Chen - sofa?
11:12 AM
yuming xie's profile photo
yuming xie - wow
11:13 AM
叶子义's profile photo
叶子义 - 沙发
11:13 AM
童漢令's profile photo
童漢令 - 前排吗
11:13 AM
Rugger Ducky's profile photo
Rugger Ducky - So it is clearly going to be Obama/Biden eh?
11:13 AM
Hai Yan's... 阅读全帖 |
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H*H 发帖数: 472 | 37 S. Fred Singer拿着石油公司的经费,当然得替石油公司说话!各为其主罢了,这年头
,也就标新立异一下能上新闻了
Secondhand smoke
According to David Biello and John Pavlus in Scientific American, Singer is
best known for his denial of the health risks of passive smoking.[44] He was
involved in 1994 as writer and reviewer of a report on the issue by the
Alexis de Tocqueville Institution, where he was a senior fellow.[45] The
report criticized the Environmental Protection Agency (EPA) for their 1993
study about the cancer risks of passive smoking, ... 阅读全帖 |
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b********n 发帖数: 38600 | 38 THE 101 ALLEGED VICTIMS OF THE HACK
AJ Michalka, American actress, singer-songwriter, and musician
Alyson 'Aly' Michalka, AJ's sister, also an American actress
Allegra Carpenter, actress, best known for The Fault In Our Stars
Abigail Spencer, American actress
Alana Blanchard, American professional surfer and bikini model
Alexa Jane, model
Angelina McCoy, actress, best known for Enchanted
Anna O'Neill
Ashley Blankenship, actress, appeared in The Wolf Of Wall Street
Aubrey Plaza, American actress ... 阅读全帖 |
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e*u 发帖数: 10016 | 39 Historical
The Empress Josephine – Wife of Napoleon. Ancestry unconfirmed.
Alexandre Dumas – French novelist, author of The Three Musketeers and
The Count of Monte Cristo
Alexander Pushkin – The great Russian novelist.
Contemporary
Christina Aguilera, American singer
Jessica Alba, American actress
John Amaechi, English basketball player
Amerie, American singer
Leila Arcieri, American model/actress
Fred Armisted, American comedian and SNL castmember.
Joan B... 阅读全帖 |
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f****l 发帖数: 8042 | 40 WIKI
This is a list of notable Chinese Americans, including both original
immigrants who obtained American citizenship and their American
descendants.
These are people who have made significant contributions to the American
culture or society politically, artistically or scientifically, or have
appeared in the news numerous times.
To be included in this list, the person must have a Wikipedia article
showing they are Chinese American or must have references showing they
are Chinese American and a... 阅读全帖 |
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a*******u 发帖数: 6324 | 41 嗐!轩哥,那不就是叫做Vibrato嘛。
就抖啊,就震啊,就一个词根啊。
http://en.wikipedia.org/wiki/Vibrato
http://zh.wikipedia.org/wiki/%E9%A1%AB%E9%9F%B3_(%E9%9F%B3%E6%A
颤音 (音乐)
维基百科,自由的百科全书
颤音是一种乐器技巧。
Vibrato
From Wikipedia, the free encyclopedia
Vibrato is a musical effect consisting of a regular, pulsating change of
pitch. It is used to add expression to vocal and instrumental music. Vibrato
is typically characterised in terms of two factors: the amount of pitch
variation ("extent of vibrato") and the speed with which the p... 阅读全帖 |
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f****l 发帖数: 8042 | 42 台湾裔美国人
Art and design
Doug Chiang, movie designer and artist
Christine Wang, architect, curator, artist, founder of Wang Museum of
Technology
Jason Wu, fashion designer
Alexander Wang, fashion designer
[edit]Business
Christine Chen, founder and CEO of Chen Communications, former Emmy award
winning journalist and news anchor
Steve Chen, founder and CEO of Galactic Computing
Steve Chen, co-founder of YouTube
David Chu, co-founder of Nautica, clothing company
Tony Hsieh, CEO of Zappos.com, online s... 阅读全帖 |
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l****z 发帖数: 29846 | 43 By Michelle Malkin | May 6, 2014 | 22:05
Hollywood is sick, sick, sick. Behind its curtain of holier-than-thou
progressivism, the entertainment world's top A-list stars have engaged in
the most depraved sexual abuse against vulnerable children and teens,
according to a growing number of victims. After years of cover-up, the
institutional scandal is exploding. Finally.
The latest alleged atrocities involve "X-Men" director Bryan Singer and at
least three other power players in the business: veter... 阅读全帖 |
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w***n 发帖数: 9040 | 44 又查了其他一些名人的成绩,这个四星上将太牛了,跟armstrong差不多了。。。
Celebrity/ Notable Marathon Times
2 HOURS
2:15:25 - Paula Radcliff, Women's World Record, London Marathon 2003
2:19:36 - Deena Kastor, American Women's Record, London Marathon 2006
2:46:43 - Lance Armstrong, NYC 2007 *His P.R.
2:50:53 - General David Petraeus, Omaha 1982
2:50:58 - Lance Armstrong, Boston 2008
2:59:36 - Lance Armstrong, NYC... 阅读全帖 |
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l*y 发帖数: 21010 | 45 From the Vaults: An interview with Bernard Sumner and Johnny Marr
January 6, 2014 in INTERVIEWS
by MAX DAX about BERNARD SUMNER, JOHNNY MARR Tweet
Bernard-Sumner-Johnny-Marr-Electronic-Beats
When two songwriting icons collide: In the latest edition of our irregular F
rom the Vaults series, we present our editor-in-chief Max Dax’s 1996 interv
iew with Bernard Sumner and Johnny Marr. The in-depth conversation originate
s from around the period they released Raise the Pressure as Electronic and
i... 阅读全帖 |
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t*******r 发帖数: 22634 | 46 属实。。。不过这个唱歌,其实紧张与否,技术因子非常大。
抛开青春期问题不谈,老实说,单就很多喜欢 lead singer 风格的,
可能不仅不喜欢 choir singer,而且被 choir 指挥骂出去,都不是
没有可能的。
因为 lead singer 通常都是大嗓门/大动态,声线个性突出但未必
柔美。。。lead singer 三个八度的音域啥的,人 choir 指挥不
care。。。lead singer 灵活鲜明地变化音色啥的,人 choir
指挥不让!。。。choir 指挥嫌 lead singer 音色太棱角,人
lead singer 说那么我就上 vibrato 柔和一下,choir 指挥说
你丫那个波澜壮阔的 vibrato 难道不是把你丫的个性搞得更突出
了,我 choir 指挥要的是飞机场那样平直、柔美得像蚊子叫的
音色!个性鲜明的 lead singer 一听火了,说你他妈蚊子叫也
算是唱歌?直接把手里的谱子啪叽拍在地板上,然后微笑地走到
choir 指挥跟前,把 choir 指挥的谱架上的谱子顺便也啪叽拍
在地板上,完事了拍拍手,穿过观众席,头也不回地走人。... 阅读全帖 |
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p*********3 发帖数: 2039 | 47 http://en.wikipedia.org/wiki/Nurse_with_Wound_list
Agitation Free, German rock group.
Pekka Airaksinen, Finnish musician and member of the group Sperm (see below).
Airway, project of Joe Potts as part of the Los Angeles Free Music Society
collective.
Albrecht/d. German artist with ties to the Fluxus scene. He has worked with
Joseph Beuys and Throbbing Gristle (see below).
Alcatraz, German rock group.
Älgarnas Trädgård, Swedish rock group.
All 7-70, see Ritual All 770 (below)
Alter... 阅读全帖 |
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c***s 发帖数: 70028 | 48 沉迷网络游戏,3年未步出家门,形同野人;为了闯关,月抛20万元打游戏;甚至出现诈骗、偷盗等犯罪行为……记者从南方医科大学心理学系举办的中德青少年网络成瘾心理干预培训班上获悉,网瘾青少年占比近1成,其中早年“寄养”儿童后期成瘾者占比高达1/3,成易发人群。德国世界知名心理学家、德国成瘾治疗协会会长Werner F.Singer教授指出,网瘾年轻化趋势严重,建议家长6岁前勿让孩子接触网络游戏世界。
案例:沉迷游戏吃饭要人喂
上班、逛街、交友,如今的小丁和大都市里任何一名正常上班族一样。很难想象出,2年前,当他被父母送到强制戒除网瘾的心理医院时,3年未出门的他已经形同野人。
“头发、胡子3年没理了,头发长到腰,蓬头垢面,跟山顶洞人似的。”小丁从17岁开始打《魔兽世界》,越玩越上瘾,最后连吃饭都要父母求着他吃,父母只好将饭喂到他嘴里。小丁甚至开始出现了幻觉、妄想症,甚至听到外太空人对话,让他一起参加战斗。
构成:早年“寄养者”占比高达1/3
此外,隔代抚养的青少年更是网瘾的高发区。据介绍,早年寄养在祖辈的网瘾青少年占了总数的1/3。主要是因为回到父母身边时会不服管,有强烈的逆反心理。
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l****z 发帖数: 29846 | 49 Argentina says the 'vultures' circling overhead have multiplied, and they're
asking for billions
Linette Lopez
Mar. 3, 2015, 3:23 PM
Investors in Argentina known as "me-too" bondholders have filed $6-$8
billion worth of claims for more of the country's money to US Judge Thomas
Griesa, says Argentine Economy Minister Axel Kicillof.
And as far as Kicillof is concerned, those investors won't get a dime more
than what he believes they are owed.
"Griesa asked that all those filing claims go t... 阅读全帖 |
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