Fermat Numbers: A False Conjecture Leads to Fun and
... What makes the determination of the primality of Fn so hard is that, thanks to the presence of the double exponent, the number of digits in Fn grows very rapidly as n becomes large. In fact, Exercise (2) in Section 5 ahead clearly shows that the growth in the number of digits is exponential. On the ...
... What makes the determination of the primality of Fn so hard is that, thanks to the presence of the double exponent, the number of digits in Fn grows very rapidly as n becomes large. In fact, Exercise (2) in Section 5 ahead clearly shows that the growth in the number of digits is exponential. On the ...
Solving Open Sentences Involving Absolute Value
... the solution had “and” in it because the set of answers were contained between two numbers. When the problem is an absolute value “greater than” something, like this: |x - #| > # the solution will be different. The solution set is not contained by the end number. The solution set will be outside the ...
... the solution had “and” in it because the set of answers were contained between two numbers. When the problem is an absolute value “greater than” something, like this: |x - #| > # the solution will be different. The solution set is not contained by the end number. The solution set will be outside the ...
Worksheet 4
... (the first digit is nonzero and digits may be repeated) followed by three of the letters A, B, C, D, and E (letters may not be repeated). How many different student IDs are possible? Solution: 9 × 10 × 10 × 10 × 5 P3 = 150 6. List all the permutations of {a, b, c} when the elements are taken two at ...
... (the first digit is nonzero and digits may be repeated) followed by three of the letters A, B, C, D, and E (letters may not be repeated). How many different student IDs are possible? Solution: 9 × 10 × 10 × 10 × 5 P3 = 150 6. List all the permutations of {a, b, c} when the elements are taken two at ...
Weber problem
In geometry, the Weber problem, named after Alfred Weber, is one of the most famous problems in location theory. It requires finding a point in the plane that minimizes the sum of the transportation costs from this point to n destination points, where different destination points are associated with different costs per unit distance.The Weber problem generalizes the geometric median, which assumes transportation costs per unit distance are the same for all destination points, and the problem of computing the Fermat point, the geometric median of three points. For this reason it is sometimes called the Fermat–Weber problem, although the same name has also been used for the unweighted geometric median problem. The Weber problem is in turn generalized by the attraction–repulsion problem, which allows some of the costs to be negative, so that greater distance from some points is better.