the partition function
51Jerusalem during the Ottoman period — The rule of the Ottoman Empire over the region of Jerusalem lasted 400 years from 1517 until its conquest by Britain in 1917. Since the end of the Crusader rule over the holy city, Jerusalem had almost stagnated, and become a civilian city.… …
52Landau's function — g ( n ) is defined for every natural number n to be the largest order of an element of the symmetric group S n . Equivalently, g ( n ) is the largest least common multiple of any partition of n .For instance, 5 = 2 + 3 and lcm(2,3) = 6. No other… …
53Ordered partition of a set — In combinatorial mathematics, an ordered partition O of a set S is a sequence A1, A2, A3, ..., An of subsets of S, with union is S, which are non empty, and pairwise disjoint. This differs from a partition of a set, in that the order of the Ai… …
54Filter (higher-order function) — In functional programming, filter is a higher order function that processes a data structure (typically a list) in some order to produce a new data structure containing exactly those elements of the original data structure for which a given… …
55Logic and the philosophy of mathematics in the nineteenth century — John Stillwell INTRODUCTION In its history of over two thousand years, mathematics has seldom been disturbed by philosophical disputes. Ever since Plato, who is said to have put the slogan ‘Let no one who is not a geometer enter here’ over the… …
56Stirling numbers of the second kind — In mathematics, Stirling numbers of the second kind, together with Stirling numbers of the first kind, are one of the two types of Stirling numbers. They commonly occur in the study of combinatorics, where they count the number of permutations.… …
57Netherlands, The — officially Kingdom of The Netherlands byname Holland Country, northwestern Europe. Area: 16,033 sq mi (41,526 sq km). Population (2002 est.): 16,142,000. Capital: Amsterdam; Seat of Government: The Hague. Most of the people are Dutch. Languages:… …
58Schwinger function — In quantum field theory, the Wightman distributions can be analytically continued to analytic functions in Euclidean space with the domain restricted to the ordered set of points in Euclidean space with no coinciding points. These functions are… …
59Transition to the New Order — This article is part of the History of Indonesia series See also: Timeline of Indonesian History Prehistory Early kingdoms …
60Criticism of the Israeli government — State of Israel …
