感動する! 数学 (PHP文庫) (Japanese Edition)

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  1. tikkss のお気に入り
  2. 再生核研究所: ■東京で[世界を変えた書物]展
  3. Western Inlet

Are we bothered by how people from other cultures dress, eat, talk, walk, worship, think, etc.? Is this fear or bafflement so big that we much rather reject people and all the richness they bring within? How about if instead of rejecting or retreating from that person—division of our humanity by zero tolerance or zero acceptance—we decided to give them and us a chance? How about changing that zero tolerance into zero intolerance? Let us have the courage to let our guard down for a moment and open up enough for this person to ask us questions about our culture and way of life.

If we are not willing to lose our identity, why should we ask somebody else to lose theirs? I believe with all my heart that if we practiced positive feelings—zero intolerance, zero non-acceptance, zero indifference, zero cruelty—every day, the premise that states that division by zero is impossible would continue being true, not only in mathematics, but also at the human level. We would not be divided anymore; we would simply be building a better world for all of us.

The primary concern of modern algebras is not how an operation can be performed, but whether it maps into or onto and the like abstract issues [19—23]. As important as this may be for proofs, the nature does not really care about all that. We need thus an approach that is more relevant to operations performed in nature, which never complained about morphisms or the allegedly impossible division by zero, as far as I can tell. Abstract sets and morphisms should be de-emphasized as hardly operational. My decision to come up with a definite way to implement the feared division by zero was not really arbitrary, however.

It has removed a hidden paradox from number theory and an obvious absurd from algebraic group theory. It was necessary step for full deployment of constructive, synthetic mathematics SM [2,3]. Problems hidden in PM implicitly affect all who use mathematics, even though we may not always be aware of their adverse impact on our thinking. How ingenious. If one is prohibited from dividing by zero one could not obtain this paradox. Yet the prohibition did not really make anything right. The prohibition on treating infinity as invertible counterpart to zero did not do any good either.

Therein a sphere is cast onto the plane that is tangent to it and its free opposite pole in a point at infinity [26—28]. The old formula for multiplication of zeros 0a is valid only as a practical approximation, but it is group-theoretically inadmissible in no-nonsense reasonings. The tiny distinction in formula 0b makes profound theoretical difference for geometries and consequently also for physical applications.

Have you heard of this thing? It is going to be a kind of gigantic mechanical computer, slow, simple and ingenious, marking the hour, the day, the year, the century, the millennium, and the precession of the equinoxes, with a huge orrery to keep track of the immense ticking of the six naked-eye planets on their great orbital mainspring. But even if the Clock of the Long Now fails to last ten thousand years, even if it breaks down after half or a quarter or a tenth that span, this mad contraption will already have long since fulfilled its purpose.

Indeed the Clock may have accomplished its greatest task before it is ever finished, perhaps without ever being built at all. The point of the Clock of the Long Now is not to measure out the passage, into their unknown future, of the race of creatures that built it. We also, in the very broadest sense of the first person plural pronoun, inherit it. Renny Pritikin: When we were talking the other day I said that this sounds like a cross between Borges and the vast underground special effects from Forbidden Planet.

After the pause, one could liken it to a reboot, the questions just start streaming out. RP: OK so I think the word for that is nonplussed. Which the thesaurus matches with flummoxed, bewildered, at a loss. So the question is why even I assume fairly sophisticated people like your friends react like that. Is it the physical scale of the plan, or the notion of thinking 10, years into the future—more than the length of human history? I continue to be amazed by the specificity of the questions asked.

Anthropologists ask a completely different set of questions than say, a mechanical engineer or a hedge fund manager. Our disciplines tie us to our perspectives. More than once, a seemingly innocent question has made an impact on the design of the clock. Back to your question. I think when sophisticated people, like you, thread this concept through their own personal narrative it tickles them. Keeping in mind some people hate to be tickled. RP: Can you give an example of a question that redirected the plan? The equation-of-time cam is arguably one of the most aesthetically pleasing parts of the clock.

It also happens to be one that is fairly easy to explain. It visually demonstrates two extremes. If you slice it, like a loaf of bread, into 10, slices each slice would represent a year. You could, given the right amount of magnification, divide it into hours, minutes, even seconds.

Stepping back and looking at the unsliced cam the bottom is the year and the top is the year The twist that you see is the precession of the equinoxes. We want you to know just how fast or just how slow the various parts are moving. RP: Spin Sink 1 Rev. Linking the speed that we can barely see with one that we rarely have the patience to wait for.

PS: By placing the clock in a mountain we have a reference to long time. The stratigraphy provides us with the slowest metric. The clock is a middle point between millennia and seconds. Looking back 10, years we find the beginnings of civilization. Although on many occasions men and women purchase a style dress or even coat basically to determine of which quite a while in the future it truly is now hunting old as well as is not really doing the job and even it all accustomed to for the picture.

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Soft down by way of and additionally impermeable! Well, despite the 97 80 victory over a team many believe could be the best in the Eastern Conference, the talking heads the following day decided to spend their time talking about what a point guard who had missed the entire season before was doing wrong just four games in. This reminded me of the Pacers pregame show I was listening too on The Fan when Austin Croshere mentioned that he doesn fully buy in to this Brooklyn squad to be a top seeded team.

Basically Croshere believes that with the years of basketball mileage on their body, Garnett and Pierce could perhaps reach their full potential if they played once every three games. Throw in the fact that Pierce, Garnett, and Jason Terry combined for 8 23 from the field, 21 points, and nine turnovers, I now wonder how Sports Illustrated picked this squad to be the number three seed over the course of an 82 game season. Now Coddington, the longtime creative director of Vogue, has her own star vehicle, an engaging memoir titled "Grace," co written with Michael Roberts.


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For anyone with a passing interest in the fashion industry, it's worth a read for the name dropping alone. As became clear in the film, which chronicled the magazine's staff as they put together the 4 pound September issue, Coddington is not the Anna Wintour or Diana Vreeland type. You won't hear her barking orders at assistants or making dramatic pronouncements about pink.

But she is equally passionate, a wild haired dreamer who thinks that fashion should be transporting, provocative and even intellectual, who bemoans the dominance of celebrities and digital hocus pocus in fashion photography and who isn't afraid to take on Wintour. The book is a window into how fashion has changed from a small, niche business into a global pop culture medium. It chronicles Coddington's 50 years in the industry, first as a model, then as a fashion editor for British Vogue and finally as creative director for American Vogue, with lots of juicy anecdotes about designers, photographers, celebrities and models.

She compares the fashion world then and now and offers clues into her relationship with Wintour. She's also open about her private life, including details about failed marriages, the tragic death of her sister Rosemary and her 30 year romance with French hairstylist Didier Malige. She tells colorful stories behind many of the fashion shoots she has styled, but I do wish she had offered more insight into her role in the creative process. Coddington begins by painting a picture of her upbringing as romantic as any photo shoot. As a teen, she went to a convent school and has vivid memories of the nuns roller skating on the rooftop, "flapping about surreally in their robes like crows on wheels.

The fashion world was much different in Coddington had to learn how to apply her own makeup and style her own hair, because makeup artists and hairdressers specializing in photo shoots were nonexistent. A meeting with photographer Norman Parkinson led to her first modeling job running naked through the woods for an arty fashion catalog. Coddington became an overnight success. Her modeling career was derailed for two years by a car accident, which scarred her left eyelid.

But eventually things picked up again, and she settled into life in s swinging London and Paris, hanging out with a fast crowd that included Michael Caine, Jane Birkin, the Beatles and the Rolling Stones. Her fashion editing career coincided with the beginning of her relationship with Michael Chow and the opening of his glamorous restaurant Mr. Chow, which attracted a starry crowd. Coddington worked with the who's who of fashion.

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When Bea Miller, who had edited British Vogue for 22 years, retired, Coddington interviewed for the job but says she knew deep down she wasn't suited for it and thought that Wintour, then the creative director of American Vogue, should get it. Wintour did get it. Two days into her editorship, she invited Coddington to a screening of the racy film "Betty Blue.

No sign of any emotion at all," Coddington writes. Coddington's narrative style fashion features and travelogues, a sampling of which appear in the book, became the heart and soul of the magazine, even as its pages became increasingly taken over by celebrities. Through her visual canvases, she interpreted the New Romantic period, grunge and the South Beach blinged out s, and persuaded superstar designers Tom Ford, Marc Jacobs and others to play roles in a shoot based on "Alice in Wonderland.

But her attempt in the last pages to distance herself from the term "fashionista" is a bit of a stretch. Clearly, Coddington has led a most charmed life. Otherwise, we wouldn't be reading about it. We provide this community forum for readers to exchange ideas and opinions on the news of the day. Passionate views, pointed criticism and critical thinking are welcome. Comments can only be submitted by registered users. Reply rue.

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