2008年12月3日星期三

On TV, Timing Is Everything at the Olympics

With at least $100,000,000 net profit, NBC is probably the biggest winner in 2008 Beijing Olympic Game.
But who knows, NBC had been prepare for this great ceremony 8 years ago--even early than the time when China acquired the hosting of 2008 Olympics. And here is a good passage on NY times website to help you understand more about media economics.



Original Site: On TV, Timing is Everything at the Olympics


By BILL CARTER
Published: August 24, 2008

In mid-2005, Dick Ebersol, the chairman of NBC Sports, had secured the support of the International Olympic Committee for the critical move of the finals of the key television sports of swimming and gymnastics to morning hours in China so they could be shown live in prime time in the United States. But he had one more person he needed to consult: Michael Phelps.

“Michael was the first outsider I talked to about it,” Mr. Ebersol said in an interview from Beijing, where he wrapped up NBC’s coverage of the Games Sunday. He said he wanted to make sure that competing in the morning would not harm the performance of the likely American star of the Games.

Mr. Ebersol had already developed a close relationship with the swimmer, so much so that Mr. Phelps and his mother had attended the funeral of his young son Teddy after a plane crash that also seriously injured Mr. Ebersol. Competing in the morning, Mr. Phelps said, was no problem.

“He told me: ‘My only real goal is to leave the sport bigger and better than I found it,’ ” Mr. Ebersol said.

Getting American stars like Mr. Phelps and the gymnast Shawn Johnson to perform live in prime time was just one of the moves and unexpected breaks, some going back almost a decade, that set up the spectacular success NBC achieved in the Beijing Games that ended Sunday night. It was a success represented by record viewer totals of more than 200 million people, a surge in ad sales that guaranteed a profit of more than $100 million, and probably the best word of mouth about any Olympics coverage in a generation.

As a result, NBC was able to turn the Beijing Games with all their potential liabilities — time differences, pollution and potential political upheaval — into a triumph for the network.

“Everything is fraught with risk,” Mr. Ebersol said, adding that the prospects for Beijing did not look very bright as recently as five months ago. “At that point I was sure we’d lose money.” The economy was bad; advertisers were tightening budgets; a lot of NBC’s Olympic ad time was going unsold.

Then as the Games neared, ad sales picked up — and, after the Games started off so well, they exploded. Mr. Ebersol said that in the end it may have been NBC’s good fortune that the country was going through some tough times.

“The economy was so dark,” Mr. Ebersol said. “But with $4 a gallon gas, more people were staying home. Many fewer were taking vacations.”

That made people both more available and more susceptible to the pull of the Olympics.

“When these Games came along, it was really at a point where the country was just ready for something they could really get crazy about,” he said.

Switching swimming and gymnastics to prime time was not the biggest scheduling coup Mr. Ebersol helped pull off. Long before that, during the Games in Sydney, Mr. Ebersol played the central role in a move to alter the weeks when the Beijing Games would be held.

By the summer of 2000, NBC already possessed the rights to the Winter and Summer Games through 2008. The network had made a deal in 1995 to secure them all even before the Games were awarded to any cities — a notion Mr. Ebersol sold effectively to the I.O.C. as a better way to go than having the cities make plans without knowing how much they were going to acquire in TV rights.

But the Sydney Games, which took place in late September, were not doing especially well in the ratings. Juan Antonio Samaranch, then the I.O.C. president, left Sydney after the first day because of the death of his wife. When he returned, Mr. Ebersol related, he visited the NBC broadcast center and observed that the ratings were not what NBC had hoped. He asked Mr. Ebersol if there was anything he could do to help.

“Not for these Games,” Mr. Ebersol said he told him. But he wanted to plant another thought. “I believed China was going to win the bid for 2008,” he said. And he had heard that China planned to bid based on dates similar to Sydney. He asked Mr. Samaranch if China could move the dates of its bid four weeks back into August.

“If you’re into September, you’re going to lose a big percentage of your male viewers,” Mr. Ebersol said. “There’s N.F.L. coverage on Sundays and Mondays, and college football is now on four or five nights a week. All of that goes away if you start in mid-August.”

Also, he said, moving the dates back meant bringing in children who would be in school a month later and thus not allowed to stay up late to see American stars like Nastia Liukin on the balance beam. “The Olympics are about the last event that gets the whole family viewing together,” Mr. Ebersol said.

Mr. Samaranch listened to the arguments carefully. “Forty-eight hours later, when the Chinese made their official bid, the dates were in mid-August,” Mr. Ebersol said. As it turned out, even those dates did not hold. Once the tennis federation heard mid-August, it suggested a move back another week — or else Rafael Nadal, Roger Federer, the Williams sisters and every other tennis star would skip the Games to play in the United States Open.

China made a move again, Mr. Ebersol said, setting up the start date of 8/8/08, which received so much attention for the mystical importance that the Chinese attach to the number 8.

“But that’s not really why the Olympics started then,” Mr. Ebersol said.

In both cases when NBC’s desires were accommodated, “no money changed hands,” Mr. Ebersol said. The $894 million that NBC paid for the American television rights was already in a Chinese bank, Mr. Ebersol noted. But the I.O.C. has an intense interest in assuring that its American TV partner has a success with the Games, he said, because American television money accounts for more cash for the I.O.C. than all the world’s other broadcasters combined. (By contrast, he said China paid $17 million for its television rights, while selling $400 million worth of ads.)

Mr. Ebersol also made a very early decision to use Mr. Phelps — and his mother — as the centerpiece of NBC’s marketing. The first promotions for Beijing focused on Mr. Phelps’s relationship with his mother and played during NBC’s coverage of the Macy’s Thanksgiving Day Parade. The network followed that the same day with another promotion featuring Mr. Phelps and his dog, Herman, placing it in the network’s coverage of the National Dog Show, which followed the parade.

“That’s our biggest family viewing day of the year, with the parade and the dog show,” Mr. Ebersol said.

In April 2007, Mr. Phelps was even more directly involved in NBC’s marketing effort. For the first time NBC decided to stage an Olympic upfront — a special sales presentation for advertisers in advance of an event (as is done before every prime-time television season.) Mr. Ebersol invited Mr. Phelps to make an appearance to help woo the advertisers, which he did in a single day, so as not to miss any training.

“He never asked for a dime,” Mr. Ebersol said.

During the planning, Mr. Ebersol also acceded to a move pushed by members of his staff to cut way back on the now much-mocked athlete profiles, usually known as “up close and personals,” during which heart-tugging tales of overcoming handicaps and tragedy are often recounted. The overall number dropped from about 160 eight years ago to 80 in Athens and only about 60 this year.

“I always loved them,” Mr. Ebersol said. “I sit there and cry at them. I might as well be part of that female demographic we’re seeking.”

The scheduling shift to prime time was very much a personal victory for Mr. Ebersol, who first broached it during a conversation with Jacques Rogge, the president of the International Olympic Committee, in the summer of 2001. Mr. Rogge, just named to the position, flew to the United States to speak with American Olympic officials, and on his way back to Europe made a stop at Mr. Ebersol’s home on Martha’s Vineyard.

There, after giving Mr. Ebersol’s sons a sailing lesson (Mr. Rogge was an Olympic sailor for Belgium), Mr. Rogge got a lesson in television programming.

“We took a long walk around Edgartown,” Mr. Ebersol said. On the walk, he explained how critical swimming and gymnastics were because they kicked off the competition and they were the sports of most appeal to the audience the Olympics counts on for success: women. Mr. Ebersol said that Mr. Rogge was sympathetic, but said he would do nothing that might harm the performance of the athletes.

“I pointed out that the swimmers are normally up at 5:30 a.m. to train, and in previous Olympics they had swum their heats in the morning,” Mr. Ebersol said.

Mr. Rogge eventually got the support of the swimming and gymnastics federations for the schedule. Many months later, long after Mr. Phelps was advised, the move was formally announced.

Having Mr. Phelps on board with swimming for gold at 10 a.m. Beijing time gave Mr. Ebersol a formidable line of defense against anyone who suggested that the schedule tailored for American television would prove detrimental to the athletes — and some Australian swimming officials did just that.

“Michael and his coach told them: ‘Anyone who is among the best in the world should be able to swim any time of day,’ ” Mr. Ebersol said. He added, “It was really all about Australian television wanting to get swimming into their prime time.”

The live events did ignite the American coverage this year with instant excitement, especially thanks to Mr. Phelps, who seemed to win a race every night, setting new world records in the process. More evidence, Mr. Ebersol said, that swimming in the morning proved no handicap was that 20 world records, as many as in the previous two Olympics combined, were set in the Beijing pool, some by the Australian team.

Still, the scheduling that Mr. Ebersol used to enhance the Beijing Games may not work so well in four years when the Games are in London. (The Winter Games, in Vancouver in 2010, are ideally set up for live prime-time viewing.) Would the British stand for starting swimming finals at 1 a.m. local time?

“London is going to be different,” he said. “I have some ideas. I want to talk to some key advertisers to get a sense of where they think they’re going to be in four years.”

Mr. Ebersol also acknowledged that the rampaging growth of the Internet — particularly broadband access — would transform the medium over the next four years and that the advertising engine of the modern Olympics will be in for a radical overhaul.

The problem going forward, he said, is that commercials at the beginning of streamed videos and banner ads would never pay for the kind of coverage viewers expect from Olympic broadcasters.

“We’re like everybody else in the media,” he said. “We can’t change analog dollars for digital pennies.”

Still, he was hardly ready to predict that London would be the final stop on NBC’s long Olympic journey. He said he expects NBC to be in the mix when the rights to the 2014 and 2016 Games are awarded about 14 months from now.

Nor was Mr. Ebersol, who is 61, ready to pass the baton, despite rumors that he might see Beijing as the perfect time to go out at the top of his own game.

“There is no way” he would not be in both Vancouver and London, he said. “My sanity in life is wrapped up in this.”

Firefox & IE

用firefox有一段时间了,发现的确是越来越喜欢上它了。从最开始的方便的tab(现在IE也有),到后来愈发喜爱的add-on和theme,让我几乎忘记了用IE的时候。

add-on是个超好的东西,特别是其中的gladder和IE tab,可见他们想的是多么周到。尽管都是浏览器,但是两者间真正的不同还是比较明显的。

事实上最开始正式了解和运用firefox是今年firefox网站要创吉尼斯世界下载记录的时候。然而当时下载状况里面可以清楚地看见中国的下载量不及美国的1/10。这说明了两点,一是中国网民不多,而且大多数网民都是在网上弄Q和打游戏;2是microsoft在中国的垄断地位,虽然很大程度上是由于盗版的大力协助。而当真正的网民素质和人口素质提高到一定程度的时候,你就会发现,网络中还有那么多美妙的东西,而且,任何人都能够成为专家

推荐几个firefox的add-on吧。gladder, Adblock Plus, Downloadhelper, WOT, pdf Download, IE Tab, Add to search bar...

Is it going to rain?

This website is simple but useful, although it seems that there are only 2 possible answers...


Is it going to rain?

A small project written for fun,goingtorain.com geo-locates your IP address and checks the weather to tell you, in one simple word, whether it's going to rain (or snow) today.

暴雪

一整天都是灰蒙蒙的,因为一直在家的缘故没有觉察出什么。直到爸妈回来之后,看到他们身上的水渍,再看看外面,才知道正在下雪,而且还是暴雪。

真的很想出去闻一闻雪的气息,要知道沈阳今年冬天的这几场雪我还都没亲身体验过,只是擦去窗户上的哈气,看到外面白色的世界。

隔着一层窗户,就是两个不同的世界,就好像两个介质之间的界面一样,但是,介质间真的会有这么层窗户么?这扇窗户又属于哪里的呢?

打开窗户,一下子沉浸在下沉的拥有雪的味道的空气中。深呼吸一下,似乎多日不见的清醒和激情又回来了,只是--太冷了,还是关上吧。

依旧还是要晚睡,还是有essay在等我。小か说得对,回学校呆两天会好很多的,要不然真的要被逼疯的。

--没动静了,呃。。。晚安吧

2008年12月2日星期二

19 Ways to Enhance Your Sense of Humor

From Stealth Health

Bring out the laughter from within.

The Best Medicine

What is the greatest reward of being alive? Is it chocolate, sex, ice cream, tropical vacations, hugs from children, a perfect night’s sleep, or the satisfaction of a job well done? A thousand people, a thousand different answers. But one supreme pleasure that spans all people is laughter.

Little can compare to the feeling of a deep, complete, heartfelt laughing spell. No matter your age, wealth, race, or living situation, life is good when laughter is frequent.

Life is also healthier. Research finds that humor can help you cope better with pain, enhance your immune system, reduce stress, even help you live longer. Laughter, doctors and psychologists agree, is an essential component of a healthy, happy life.

As Mark Twain once said, “Studying humor is like dissecting a frog — you may know a lot but you end up with a dead frog.” Nonetheless, we’re giving it a try. Here are 19 tips for getting — or growing — your sense of humor, based partly on the idea that you can’t be funny if you don’t understand what funny is.

1. First, regain your smile. A smile and a laugh aren’t the same thing, but they do live in the same neighborhood. Be sure to smile at simple pleasures — the sight of kids playing, a loved one or friend approaching, the successful completion of a task, the witnessing of something amazing or humorous. Smiles indicate that stress and the weight of the world haven’t overcome you. If your day isn’t marked by at least a few dozen, then you need to explore whether you are depressed or overly stressed.

2. Treat yourself to a comedy festival. Rent movies like Meet the Parents; Young Frankenstein; Pee-Wee’s Big Adventure; Monty Python and the Holy Grail; This Is Spinal Tap; Animal House; Blazing Saddles; Trading Places; Finding Nemo. Reward yourself frequently with the gift of laughter, Hollywood style.

3. Recall several of the most embarrassing moments in your life. Then find the humor in them. Now practice telling stories describing them in a humorous way. It might take a little exaggeration or dramatization, but that’s what good storytelling is all about. By revealing your vulnerable moments and being self-deprecating, you open yourself up much more to the humorous aspects of life.

4. Anytime something annoying and frustrating occurs, turn it on its head and find the humor. Sure, you can be angry at getting splashed with mud, stepping in dog poop, or inadvertently throwing a red towel in with the white laundry. In fact, that is probably the most normal response. But it doesn’t accomplish anything other than to put you in a sour mood. Better to find a way to laugh at life’s little annoyances. One way to do that: Think about it as if it happened to someone else, someone you like — or maybe someone you don’t. In fact, keep running through the Rolodex in your head until you find the best person you can think of to put in your current predicament. Laugh at him, then laugh at yourself!

5. Read the comics every day and cut out the ones that remind you of your life. Post them on a bulletin board or the refrigerator or anywhere else you can see them frequently.

6. Sort through family photographs and write funny captions or one-liners to go with your favorites. When you need a pick-me-up, pull out the album.

7. Every night at dinner, make family members share one funny or even embarrassing moment of their day.

8. When a person offends you or makes you angry, respond with humor rather than hostility. For instance, if someone is always late, say, “Well, I’m glad you’re not running an airline.” Life is too short to turn every personal affront into a battle. However, if you are constantly offended by someone in particular, yes, take it seriously and take appropriate action. But for occasional troubles, or if nothing you do can change the person or situation, take the humor response.

A Daily Ritual

9. Sign up to receive the Top 10 list from David Letterman every day via e-mail. You can find it at www.cbs.com/latenight/lateshow.

10. Spend 15 minutes a day having a giggling session. Here’s how you do it: You and another person (partner, kid, friend, etc.) lie on the floor with your head on her stomach, and her head on another person’s stomach and so on (the more people the better). The first person says, “Ha.” The next person says, “Ha-ha.” The third person says, “Ha-ha-ha.” And so on. We guarantee you’ll be laughing in no time.

11. Read the activity listings page in the newspaper and choose some laugh-inducing events to attend. It could be the circus, a movie

, a stand-up comic, or a funny play. Sometimes it takes a professional to get you to regain your sense of humor.

12. Add an item to your daily to-do list: Find something humorous. Don’t mark it off until you do it, suggests Jeanne Robertson, a humor expert and author of several books on the topic.

13. When you run into friends or coworkers, ask them to tell you one funny thing that has happened to them in the past couple of weeks. Become known as a person who wants to hear humorous true stories as opposed to an inpidual who prefers to hear gossip, suggests Robertson.

14. Find a humor buddy. This is someone you can call just to tell him something funny; someone who will also call you with funny stories of things he’s seen or experienced, says Robertson.

15. Exaggerate and overstate problems. Making the situation bigger than life can help us to regain a humorous perspective, says Patty Wooten, R.N., an award-winning humorist and author of Compassionate Laughter: Jest for the Health of It. Cartoon caricatures, slapstick comedy, and clowning articles are all based on exaggeration, she notes.

16. Develop a silly routine to break a dark mood. It could be something as silly as speaking with a Swedish accent (unless you are Swedish, of course).

17. Create a humor environment. Have a ha-ha bulletin board where you only post funny sayings or signs, suggests Allen Klein, an award-winning professional speaker and author of The Healing Power of Humor. His favorite funny sign: “Never wrestle with a pig. You both get dirty, and the pig likes it.”

18. Experiment with jokes. Learn one simple joke each week and spread it around. One of Klein’s favorites relates to his baldness: “What do you call a line of rabbits walking backward? A receding hare line.”

19. Focus humor on yourself. “Because of my lack of hair,” Klein says, “I tell people that I’m a former expert on how to cure baldness.”

Original link:

19 Ways to Enhance Your Sense of Humor from NY times

2008年12月1日星期一

The Chaos HypertextbookTM

About The Chaos Hypertextbook™

Who? You and I.

I wrote this book for anyone with an interest in chaos, fractals, non-linear dynamics, or mathematics in general. It's a moderately heavy piece of work, requiring a bit of mathematical knowledge, but it is definitely not aimed at mathematicians. My background is in physics and I use mathematics extensively in problem solving. Like many educated people, I also enjoy math as a diversion. This is the audience I am writing for.

What? Neat Stuff.

In the 1980s, strange new mathematical concepts burst forth from academic isolation to seize the attention of the public. Chaos. A fantastic notion. The study of the uncontainable, the unpredictable, the bizarre. Fractals. Curves and surfaces unlike anything ever seen in mathematics before. Surely, these topics are beyond the comprehension of all but the smartest, most educated, and most specialized geniuses. Wrong! Chaos, fractals, and the related topic of dimension are really not that difficult. One can devote an academic lifetime to them, of course, but the basic introduction presented in this book is no more difficult to understand than the straight line and the parabola.

When? Right Now.

Some of the topics discussed have roots extending back to the close of the Nineteenth Century. The really flashy stuff had to wait until integrated circuits integrated themselves into daily life. To attract the attention of the media-saturated you've got to have color, pattern, detail, and motion at a level beyond line drawings on paper. You need a computer. Actually, you need a lot of computers and they've got to be cheap, fast, and simple to operate so that many people will use them. You need to live at the dawn of the Twenty-first Century. If you're reading this text you have the tool needed to reproduce every image, movie, and data set found in this book. This is mathematics in the age of the computer.

Where? Nowhere and Everywhere.

This book can never exist on paper. Although copies of the linear text have existed on paper in the past and will again in the future, this is really a hypertext document. Move your finger over the linear text, press on a diagram or word and you leave behind a fingerprint. Move your cursor over the hypertext, press on a diagram or word and you're off viewing another page.

This book will never exist again as it does now. I intend to update and modify it on an irregular basis (that is, whenever I feel like it). Portions of this book were originally composed with Microsoft Word 5.1 running on a Macintosh LC. After Mosaic sparked the explosion of the World Wide Web in 1994, I knew that I would eventually transfer it to HTML. When the next tidal wave inundates the computer world, chances are this book will be washed away with it.

This book does not exist anywhere. There is no entity that contains it. I play with an edition of it that lives in my PowerBook, back it up on to writeable CDs, download it to a server hidden somewhere on the planet, you access it, and copies of it bounce around the Internet until they land in your cache. This is not a book.

Why? Why Not.

I began writing Chaos, Fractals, Dimension because I was interested in the topics presented. After I saw how easy it all was to understand, it grew and grew until it covered over one hundred pages of double-spaced text. The augmented, hypertext version as it existed on 15 December 1997 was submitted as the final integrated essay for a Master of Science degree in secondary science education from Teachers College, Columbia University. On 28 January 1999, I left Columbia University, changed the title to The Chaos Hypertextbook™, and moved into hypertextbook.com.


0 Prefaces
0.1 What's New
0.2 About This Book (abstracts)
0.3 Links to This Site
1 Mathematical Experiments
1.1 Iteration
1.2 Bifurcation
1.3 Universality
2 Strange & Complex
2.1 Strange Attractors
2.2 Julia Sets
2.3 Mandelbrot Sets
3 About Dimension
3.1 Euclidean Dimension
3.2 Topological Dimension
3.3 Fractal Dimension
4 Measuring Chaos
4.1 Harmonic Oscillator
4.2 Logistic Equation
4.3 Lyapunov Exponent
4.4 Lyapunov Space
A Appendices
A.1 Print Resources
A.2 Software Resources
A.3 Internet Resources
A.4 Eye Candy

2008年11月30日星期日

Mathemetics Illuminated

Mathematics Illuminated is a 13-part multimedia learning resource for adult learners and high school teachers in math and other disciplines. The series explores major themes in the field of mathematics, from mankind's earliest study of prime numbers to the cutting edge mathematics used to reveal the shape of the universe. Rather than a series of problems to be solved, mathematics is presented as play we engage in to answer deep questions that are relevant in our world today. Mathematics also provides us with a powerful language for uncovering and describing phenomena in the world around us. The groundbreaking videos, interactive Web exploration, text materials, and group activities included in Mathematics Illuminated reveal the secrets and hidden delights of the ever-evolving world of mathematics.

1. The Primes
The properties and patterns of prime numbers — whole numbers that are divisible only by themselves and one — have been a source of wonder across cultures for thousands of years, and the study of prime numbers is fundamental to mathematics. This unit explores our fascination with primes, culminating in the million-dollar puzzle of the Riemann Hypothesis, a possible description of the pattern behind the primes, and the use of the primes as the foundation of modern cryptography.

VOD2. Combinatorics Counts
Counting is an act of organization, a listing of a collection of things in an orderly fashion. Sometimes it's easy; for instance counting people in a room. But listing all the possible seating arrangements of those people around a circular table is more challenging. This unit looks at combinatorics, the mathematics of counting complicated configurations. In an age in which the organization of bits and bytes of data is of paramount importance — as with the human genome — combinatorics is essential.

VOD3. How Big Is Infinity?
Throughout the ages, the notion of infinity has been a source of mystery and paradox, a philosophical question to ponder. As a mathematical concept, infinity is at the heart of calculus, the notion of irrational numbers — and even measurement. This unit explores how mathematics attempts to understand infinity, including the creative and intriguing work of Georg Cantor, who initiated the study of infinity as a number, and the role of infinity in standardized measurement.

VOD4. Topology's Twists and Turns
Topology, known as "rubber sheet math," is a field of mathematics that concerns those properties of an object that remain the same even when the object is stretched and squashed. In this unit we investigate topology's seminal relationship to network theory, the study of connectedness, and its critical function in understanding the shape of the universe in which we live.

VOD5. Other Dimensions
The conventional notion of dimension consists of three degrees of freedom: length, width, and height, each of which is a quantity that can be measured independently of the others. Many mathematical objects, however, require more — potentially many more — than just three numbers to describe them. This unit explores different aspects of the concept of dimension, what it means to have higher dimensions, and how fractional or "fractal" dimensions may be better for measuring real-world objects such as ferns, mountains, and coastlines.

VOD6. The Beauty of Symmetry
In mathematics, symmetry has more than just a visual or geometric quality. Mathematicians comprehend symmetries as motions — motions whose interactions and overall structure give rise to an important mathematical concept called a "group." This unit explores Group Theory, the mathematical quantification of symmetry, which is key to understanding how to remove structure from (i.e., shuffle) a deck of cards or to fathom structure in a crystal.

VOD7. Making Sense of Randomness
Probability is the mathematical study of randomness, or events in which the outcome is uncertain. This unit examines probability, tracing its evolution from a way to improve chances at the gaming table to modern applications of understanding traffic flow and financial markets.

VOD8. Geometries Beyond Euclid
Our first exposure to geometry is that of Euclid, in which all triangles have 180 degrees. As it turns out, triangles can have more or less than 180 degrees. This unit explores these curved spaces that are at once otherwordly and firmly of this world — and present the key to understanding the human brain.

VOD9. Game Theory
Competition and cooperation can be studied mathematically, an idea that first arose in the analysis of games like chess and checkers, but soon showed its relevance to economics and geopolitical strategy. This unit shows how conflict and strategies can be thought about mathematically, and how doing so can reveal important insights about human and even animal behaviors.

VOD10. Harmonious Math
All sound is the product of airwaves crashing against our eardrums. The mathematical technique for understanding this and other wave phenomena is called Fourier analysis, which allows the disentangling of a complex wave into basic waves called sinusoids, or sine waves. In this unit we discover how Fourier analysis is used in creating electronic music and underpins all digital technology.

VOD11. Connecting with Networks
Connections can be physical, as with bridges, or immaterial, as with friendships. Both types of connections can be understood using the same mathematical framework called network theory, or graph theory, which is a way to abstract and quantify the notion of connectivity. This unit looks at how this branch of mathematics provides insights into extremely complicated networks such as ecosystems.

VOD12. In Sync
Systems of synchronization occur throughout the animate and inanimate world. The regular beating of the human heart, the swaying and near collapse of the Millennium Bridge, the simultaneous flashing of gangs of fireflies in Southeast Asia: these varied phenomena all share the property of spontaneous synchronization. This unit shows how synchronization can be analyzed, studied, and modeled via the mathematics of differential equations, an outgrowth of calculus, and the application of these ideas toward understanding the workings of the heart.

VOD13. The Concepts of Chaos
The flapping of a butterfly's wings over Bermuda causes a rainstorm in Texas. Two sticks start side by side on the surface of a brook, only to follow divergent paths downstream. Both are examples of the phenomenon of chaos, characterized by a widely sensitive dependence of the future on slight changes in a system's initial conditions. This unit explores the mathematics of chaos, which involves the discovery of structure in what initially appears to be randomness, and which imposes limits on predictability.


p.s.: you can just click on the icon "VoD" (to the right of each paragraph) to watch the video. Maybe it will also take you some time to create a free user and login it.

妞妞 2

 上周刚写完妞妞的事情,当时多少带了点绝望和无奈的情绪。 结果周五尝试了一下让她在晚上8点多之后哭了十分钟之后睡眠就改观了好多。当时一般晚上7点半给她奶睡之后在8点多的时候会醒一下。之前的方法就是去安慰一下让她睡。之后9点多快10点的时候会再醒一次,一般那个时候我就过去安慰之后就...