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poke a piece of paper

Place a piece of paper over your coffee cup. Poke it into the cup. What happens to the piece of paper? Read on...Conical dislocations in crumpling.

A crumpled piece of paper is made up of cylindrically curved or nearly planar regions folded along line-like ridges, which themselves pivot about point-like peaks; most of the deformation and energy is focused into these localized objects. Localization of deformation in thin sheets is a diverse phenomenon, and is a consequence of the fact7 that bending a thin sheet is energetically more favourable than stretching it. Previous studies considered the weakly nonlinear response of peaks and ridges to deformation. Here we report a quantitative description of the shape, response and stability of conical dislocations, the simplest type of topological crumpling deformation. The dislocation consists of a stretched core, in which some of the energy resides, and a peripheral region dominated by bending. We derive scaling laws for the size of the core, characterize the geometry of the dislocation away from the core, and analyse the interaction between two conical dislocations in a simple geometry. Our results show that the initial stages of crumpling (characterized by the large deformation of a few folds) are dominated by bending only. By considering the response of a transversely forced conical dislocation, we show that it is dynamically unstable above a critical load threshold. A similar instability is found for the case of two interacting dislocations, suggesting that a cascade of related instabilities is responsible for the focusing of energy to progressively smaller scales during crumpling.

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gambling

Billy’s Beer and Wine sold exactly $47 worth of lottery tickets the day before Marjorie Selbee arrived, just another sleepy day for the liquor store in this tiny Western Massachusetts town. But from the moment the 70-something woman from Michigan entered the store early July 12, Billy’s wasn’t sleepy anymore.

Over the next three days, Selbee bought $307,000 worth of $2 tickets for a relatively obscure game called Cash WinFall, tying up the machine that spits out the pink tickets for hours at a time. Down the road at Jerry’s Place, a coffee shop in South Deerfield, Selbee’s husband, Gerald, was also spending $307,000 on Cash WinFall. Together, the couple bought more than 300,000 tickets for a game whose biggest prize - about $2 million - has been claimed exactly once in the game’s seven-year history.

But the Selbees, who run a gambling company called GS Investment Strategies, know a secret about the Massachusetts State Lottery: For a few days about every three months, Cash WinFall may be the most reliably lucrative lottery game in the country. Because of a quirk in the rules, when the jackpot reaches roughly $2 million and no one wins, payoffs for smaller prizes swell dramatically, which statisticians say practically assures a profit to anyone who buys at least $100,000 worth of tickets.

During these brief periods - “rolldown weeks’’ in gambling parlance - a tiny group of savvy bettors, among them highly trained computer scientists from MIT and Northeastern University, virtually take over the game. Just three groups, including the Selbees, claimed 1,105 of the 1,605 winning Cash WinFall tickets statewide after the rolldown week in May, according to lottery records. They also appear to have purchased about half the tickets, based on reports from the stores that the top gamblers frequent most

via The Boston Globe.

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jk rowling

"The truth is that, like Graham Greene, my faith is sometimes that my faith will return. It's something I struggle with a lot," she revealed. "On any given moment if you asked me [if] I believe in life after death, I think if you polled me regularly through the week, I think I would come down on the side of yes — that I do believe in life after death. [But] it's something that I wrestle with a lot. It preoccupies me a lot, and I think that's very obvious within the books." That, by the author's own acknowledgement, "Harry Potter" deals extensively with Christian themes may be somewhat ironic, considering that many Christian leaders have denounced the series for glamorizing witchcraft. When he was known simply as Cardinal Joseph Ratzinger, the Pope himself condemned the books, writing that their "subtle seductions, which act unnoticed ... deeply distort Christianity in the soul before it can grow properly."

For her part, Rowling said she's proud to be on numerous banned-book lists. As for the protests of some believers? Well, she doesn't take them as gospel.

"I go to church myself," she declared. "I don't take any responsibility for the lunatic fringes of my own religion."

via MTV.

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