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After an international tribunal invalidated Beijing's claims to the South China Sea, Chinese authorities have declared in no uncertain terms that they will be ignoring the ruling.

The Philippines brought the case to arbitration at the Hague, objecting to China's claims to maritime rights in the disputed waters. The tribunal agreed that China had no legal authority to claim the waters, and was infringing on the sovereign rights of the Philippines.

Donald Trump is firing back at Supreme Court Justice Ruth Bader Ginsburg after she made disparaging comments about him in several media interviews. He tweeted late Tuesday that she "has embarrassed all" with her "very dumb" comments about the candidate. Trump ended his tweet with "Her mind is shot - resign!":

Donald Trump wrapped up his public tryout of potential vice presidential candidates in Indiana Tuesday night with Gov. Mike Pence giving the final audition.

The Indiana governor's stock as Trump's possible running mate is believed to be on the rise, with New Jersey Gov. Chris Christie and former House Speaker Newt Gingrich also atop the list. Sources tell NPR the presumptive GOP presidential nominee is close to making a decision, which he's widely expected to announce by Friday.

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The unassuming hero of Jonas Karlsson's clever, Kafkaesque parable is the opposite of a malcontent. Despite scant education, a limited social life, and no prospects for success as it is usually defined, he's that rarity, a most happy fella with an amazing ability to content himself with very little. But one day, returning to his barebones flat from his dead-end, part-time job at a video store, he finds an astronomical bill from an entity called W.R.D. He assumes it's a scam. Actually, it is more sinister-- and it forces him to take a good hard look at his life and values.

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Donald Trump picked a military town, Virginia Beach, Va., to give a speech Tuesday on how he would go about reforming the Department of Veterans Affairs if elected.

He blamed the Obama administration for a string of scandals at the VA during the past two years, and claimed that his rival, Hillary Clinton, has downplayed the problems and won't fix them.

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The season for blueberries used to be short. You'd find fresh berries in the store just during a couple of months in the middle of summer.

Now, though, it's always blueberry season somewhere. Blueberry production is booming. The berries are grown in Florida, North Carolina, New Jersey, Michigan and the Pacific Northwest — not to mention the southern hemisphere.

But in any one location, the season is still short. And this means that workers follow the blueberry harvest, never staying in one place for long.

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Record Folders: 54,000 Feet Of Paper; 13 Folds; One New Standard

Dec 5, 2011

Using 54,000 feet of toilet paper and the 825-foot long "Infinite Corridor" at MIT as a workspace, students from a small boarding school in Massachusetts say they broke an unofficial record for folding paper on Sunday.

Mythbusters fans may recall the episode where the crew took a football field-sized piece of paper and were able to fold it over 11 times. The TV stars used equipment and folded in different directions as they progressed

Math teacher James Tanton and his students from St. Mark's School, though, took aim at the more traditional record — 12 folds, always from the same direction. And they managed to do 13 folds, Tanton says in the video they shot during the record attempt.

Tanton and students from the school had been trying for six years to do this. Last April, they hit 13 folds but didn't claim the record because the paper couldn't stand on its own when they were done folding. Sunday, using about twice as much paper as before, they got it right.

We called Tanton this afternoon and started by asking what the lesson is from doing this. "It's all about the powers of two," he said, and how in this case 54,000 feet — 10 miles — of paper could be folded 13 times into an object "only five feet long."

"That's the power of exponential decay right there," Tanton said. And, of course, the lesson can be reversed to consider exponential growth.

One thing we didn't quite understand from the video was how first stacking the toilet paper into 64 layers was really OK in a paper-folding exercise such as this. As Tanton explained it, there wasn't much choice. "We're going to go with 54,000 feet of paper. That does not exist," he said. "We knew we were going to have to tape strips of paper together to get one great big long strip. And actually, taping is to our disadvantage" because the tape is thicker than the paper. So, they arranged the paper in layers."

What's more, he said, the layering created the equivalent of six folds — and the creases that go along with such folding. Creases are the bane of paper folders' efforts because they become so difficult to deal with as things go along.

So what's next? "Fourteen is calling, of course it's calling," Tanton said.

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