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In number theory, the Kempner function [1] is defined for a given positive integer to be the smallest number such that divides the factorial!. For example, the number 8 {\displaystyle 8} does not divide 1 ! {\displaystyle 1!} , 2 ! {\displaystyle 2!} , or 3 ! {\displaystyle 3!} , but does divide 4 ! {\displaystyle 4!} , so S ( 8 ) = 4 ...
In base 10, there is thought to be no number with a multiplicative persistence greater than 11; this is known to be true for numbers up to 2.67×10 30000. [1] [2] The smallest numbers with persistence 0, 1, 2, ... are: 0, 10, 25, 39, 77, 679, 6788, 68889, 2677889, 26888999, 3778888999, 277777788888899. (sequence A003001 in the OEIS) The search ...
Circle packing in a square is a packing problem in recreational mathematics, where the aim is to pack n unit circles into the smallest possible square. Equivalently, the problem is to arrange n points in a unit square aiming to get the greatest minimal separation, d n , between points. [ 1 ]
Order of magnitude is a concept used to discuss the scale of numbers in relation to one another. Two numbers are "within an order of magnitude" of each other if their ratio is between 1/10 and 10. In other words, the two numbers are within about a factor of 10 of each other. [1] For example, 1 and 1.02 are within an order of magnitude.
From January 2008 to December 2012, if you bought shares in companies when Gail R. Wilensky joined the board, and sold them when she left, you would have a -5.2 percent return on your investment, compared to a -2.8 percent return from the S&P 500.
The NFC North dominates the rest of the conference’s playoff positions with the 11-2 Minnesota Vikings and 9-4 Green Bay Packers filing the No. 5 and No. 6 spots respectively.
Almost 2 million men and women who served in Iraq or Afghanistan are flooding homeward, profoundly affected by war. Their experiences have been vivid. Dazzling in the ups, terrifying and depressing in the downs. The burning devotion of the small-unit brotherhood, the adrenaline rush of danger, the nagging fear and loneliness, the pride of service.
For example, 10 is a multiple of 5 because 5 × 2 = 10, so 10 is divisible by 5 and 2. Because 10 is the smallest positive integer that is divisible by both 5 and 2, it is the least common multiple of 5 and 2. By the same principle, 10 is the least common multiple of −5 and −2 as well.