Search results
Results from the WOW.Com Content Network
The number of distinct characteristic numbers is the number of monomials of degree n in the characteristic classes, or equivalently the partitions of n into . Formally, given i 1 , … , i l {\displaystyle i_{1},\dots ,i_{l}} such that ∑ deg c i j = n {\displaystyle \sum {\mbox{deg}}\,c_{i_{j}}=n} , the corresponding characteristic number is:
For a given problem, let: = the number of distinct operators = the number of distinct operands = the total number of operators = the total number of operands
Hashiwokakero (橋をかけろ Hashi o kakero; lit. "build bridges!") is a type of logic puzzle published by Nikoli. [1] It has also been published in English under the name Bridges or Chopsticks (based on a mistranslation: the hashi of the title, 橋, means bridge; hashi written with another character, 箸, means chopsticks).
n - the number of input integers. If n is a small fixed number, then an exhaustive search for the solution is practical. L - the precision of the problem, stated as the number of binary place values that it takes to state the problem. If L is a small fixed number, then there are dynamic programming algorithms that can solve it exactly.
The Flajolet–Martin algorithm is an algorithm for approximating the number of distinct elements in a stream with a single pass and space-consumption logarithmic in the maximal number of possible distinct elements in the stream (the count-distinct problem).
In number theory and computer science, the partition problem, or number partitioning, [1] is the task of deciding whether a given multiset S of positive integers can be partitioned into two subsets S 1 and S 2 such that the sum of the numbers in S 1 equals the sum of the numbers in S 2.
The number of distinct solutions to the problem, as a function of , has also been found by computer searches for small and appears to grow somewhat irregularly with . Starting with n = 3 {\displaystyle n=3} , the numbers of distinct solutions with distinct denominators are
Such a partition is called a partition with distinct parts. If we count the partitions of 8 with distinct parts, we also obtain 6: 8; 7 + 1; 6 + 2; 5 + 3; 5 + 2 + 1; 4 + 3 + 1; This is a general property. For each positive number, the number of partitions with odd parts equals the number of partitions with distinct parts, denoted by q(n).