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By Eugenie Samuel Reich of Nature magazine An Irish mathematician has used a complex algorithm and millions of hours of supercomputing time to solve an important open problem in the mathematics of Sudoku , the game popularized in Japan that involves filling in a 9x9 grid of squares with the numbers 1-9 according to certain rules. Gary McGuire of University College Dublin shows in a proof posted online on January 1 that the minimum number of clues--or starting digits--needed to complete a puzzle is 17; puzzles with 16 or fewer clues do not have a unique solution. [More]

A crucial part of a start-up CEOs job is to build a team that lets him or her be just that: the CEO. The phrase ‘minimum viable product’ has become part of the start-up lexicon.

To succeed, Microsoft's new app store will need developers to build apps. Microsoft execs tossed out their best pitch yesterday.

On March 13 of this year, 17 year old Yuuko Sato and 13 year old Mina Sato left the only home they'd ever known on an organic farm in Fukushima prefecture. They now live more than two hours by train to the north, in Yamagata

Engineers at the University of California, Berkeley, have shown that it is possible to reduce the minimum voltage necessary to store charge in a capacitor, an achievement that could reduce the power draw and heat generation of today's electronics.

The 2011 Inc. 500|5000 is ranked according to percentage revenue growth from 2007 through 2010