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A three-row array with 4j + 3 columns requires as many curves as rows , he concluded . If the original circles have curvatures a , b , and c , and the additional circles have curvatures d and d ' , the following simple relationship holds : d + d ' = 2 ( a + b + c ) . Each competitor races at a characteristic speed u , which would increase by u x b ( where b is a " boost " factor ) when another competitor is within a certain range ahead . A so-called Trojan asteroid , which forms a triangle with Jupiter and the sun , moves according to such a scheme . He repeatedly brought the crowd to its feet with his call to end the Iraq war by the end of the year and for a clean Democratic primary without any attacks . A Turing machine is somewhat like a typewriter whose characters can be put together in countless different ways . Even having a government divided between a Democratic Congress and a GOP president can be a plus — especially a president looking for a recipe to establish his legacy . The sampling margin of error was plus or minus 3 percentage points . The formula also applies to configurations in which one or two of the touching circles are replaced by straight lines . For a poset including the divisors of a given integer , the integer itself would be at the top of the diagram and its prime factors would be at the bottom . The wide-open vistas look very much like suburban Houston , not at all like the crowded streets of Cairo and Alexandria or the remote , dusty villages of rural Egypt where many Copts lived . The example above has 4j + 1 ( where j = 1 ) , or 5 , columns , so can be drawn with a single curve . Federal prosecutors in San Diego are preparing to seek indictments against Foggo and Wilkes on charges of honest services fraud and conspiracy , two government officials familiar with the investigation told The Associated Press last week . A small room takes on the air of a great hall . A total sale of the lottery also likely would require a state constitutional amendment .