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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
[39] [40] The factorial number system is a mixed radix notation for numbers in which the place values of each digit are factorials. [ 41 ] Factorials are used extensively in probability theory , for instance in the Poisson distribution [ 42 ] and in the probabilities of random permutations . [ 43 ]
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 ...
Water is an inorganic compound with the chemical formula H 2 O.It is a transparent, tasteless, odorless, [c] and nearly colorless chemical substance.It is the main constituent of Earth's hydrosphere and the fluids of all known living organisms (in which it acts as a solvent [20]).
In the figure, the fraction 1/9000 is displayed in Excel. Although this number has a decimal representation that is an infinite string of ones, Excel displays only the leading 15 figures. In the second line, the number one is added to the fraction, and again Excel displays only 15 figures. In the third line, one is subtracted from the sum using ...
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]
From 2006 to 2009, the Toyota Racing Formula One team cars were powered by 2.4 L (146 cu in) naturally-aspirated V8 engines, as mandated by the Formula One rules. These Toyota engines were rated to produce 559 kW (750 hp) at 19,000 rpm (552 kW (740 hp) at 18,000 rpm for 2009) and were also used by the Williams , Midland, and Jordan teams.
The number of hospital admissions in Scotland for diseases such as cancer was 2,528 in 2002. Over the next ten years, by 2012, this had increased to 2,669. [215] Hospital admissions for other diseases, such as coronary heart disease (CHD) were lower, with 727 admissions in 2002, and decreasing to 489 in 2012. [215]