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In this case, the array from which samples are taken is [2, 3, -1, -20, 5, 10]. In computer science, the maximum sum subarray problem, also known as the maximum segment sum problem, is the task of finding a contiguous subarray with the largest sum, within a given one-dimensional array A[1...n] of numbers.
The maximum sum is 1, attained by giving one agent the item with value 1 and the other agent nothing. But the max-min allocation gives each agent value at least e, so the sum must be at most 3e. Therefore the POF is 1/(3e), which is unbounded. Alice has two items with values 1 and e, for some small e>0. George has two items with value e. The ...
Condition numbers can also be defined for nonlinear functions, and can be computed using calculus.The condition number varies with the point; in some cases one can use the maximum (or supremum) condition number over the domain of the function or domain of the question as an overall condition number, while in other cases the condition number at a particular point is of more interest.
The five-number summary is a set of ... Max. 0.00 0.75 7.50 20.88 35.50 63.00. Example in Python. This python example uses the percentile function ...
The power of 3 multiplying a is independent of the value of a; it depends only on the behavior of b. This allows one to predict that certain forms of numbers will always lead to a smaller number after a certain number of iterations: for example, 4a + 1 becomes 3a + 1 after two applications of f and 16a + 3 becomes 9a + 2 after four applications ...
It is straightforward to turn a proof of Moon and Moser's 3 n/3 bound on the number of maximal independent sets into an algorithm that lists all such sets in time O(3 n/3). [12] For graphs that have the largest possible number of maximal independent sets, this algorithm takes constant time per output set.
In the usual arithmetic, a prime number is defined as a number whose only possible factorisation is . Analogously, in the lunar arithmetic, a prime number is defined as a number m {\displaystyle m} whose only factorisation is 9 × n {\displaystyle 9\times n} where 9 is the multiplicative identity which corresponds to 1 in usual arithmetic.
The partition problem - a special case of multiway number partitioning in which the number of subsets is 2. The 3-partition problem - a different and harder problem, in which the number of subsets is not considered a fixed parameter, but is determined by the input (the number of sets is the number of integers divided by 3).