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The formula counting all functions N → X is not useful here, because the number of them grouped together by permutations of N varies from one function to another. Rather, as explained under combinations , the number of n -multicombinations from a set with x elements can be seen to be the same as the number of n -combinations from a set with x ...
Triangular numbers are a type of figurate number, other examples being square numbers and cube numbers. The n th triangular number is the number of dots in the triangular arrangement with n dots on each side, and is equal to the sum of the n natural numbers from 1 to n. The sequence of triangular numbers, starting with the 0th triangular number, is
In mathematical optimization, Dantzig's simplex algorithm (or simplex method) is a popular algorithm for linear programming. [1]The name of the algorithm is derived from the concept of a simplex and was suggested by T. S. Motzkin. [2]
Times New Roman is a serif typeface commissioned for use by the British newspaper The Times in 1931. It has become one of the most popular typefaces of all time and is installed on most personal computers.
Germany, [e] officially the Federal Republic of Germany, [f] is a country in Central Europe.It lies between the Baltic and North Sea to the north and the Alps to the south. Its sixteen constituent states have a total population of over 82 million in an area of 357,596 km 2 (138,069 sq mi), making it the most populous member state of the European Union.
Scotland [e] is a country that is part of the United Kingdom.It contains nearly one-third of the United Kingdom's land area, consisting of the northern part of the island of Great Britain and more than 790 adjacent islands, principally in the archipelagos of the Hebrides and the Northern Isles.
The heating value depends on the source of gas that is used and the process that is used to liquefy the gas. The range of heating value can span ±10 to 15 percent. A typical value of the higher heating value of LNG is approximately 50 MJ/kg or 21,500 BTU/lb. [2] A typical value of the lower heating value of LNG is 45 MJ/kg or 19,350 BTU/lb.
Rock, country and soul, mixed with each other and occasionally other styles, spawned a legion of subgenres over the next few decades, ranging from heavy metal to punk and funk. In the 1970s, urban African Americans in New York City began performing spoken lyrics over a beat provided by an emcee; this became known as hip hop music. By the dawn ...