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The three triangular numbers are not necessarily distinct, or nonzero; for example 20 = 10 + 10 + 0. This is a special case of the Fermat polygonal number theorem . The largest triangular number of the form 2 k − 1 is 4095 (see Ramanujan–Nagell equation ).
An immutable sequence of numbers commonly used for looping a specific number of times in for loops [120] range (− 1, 10) range (10, − 5, − 2) set: mutable Unordered set, contains no duplicates; can contain mixed types, if hashable {4.0, 'string', True} set str: immutable A character string: sequence of Unicode codepoints 'Wikipedia ...
There is a straightforward process to convert any linear program into one in standard form, so using this form of linear programs results in no loss of generality. In geometric terms, the feasible region defined by all values of x {\displaystyle \mathbf {x} } such that A x ≤ b {\textstyle A\mathbf {x} \leq \mathbf {b} } and ∀ i , x i ≥ 0 ...
10 2005 2016 Fokker 100: 10 1992 1999 McDonnell Douglas MD-11: 4 1991 2003 McDonnell Douglas MD-11F: 2 1991 2003 Transferred to China Cargo Airlines. McDonnell Douglas MD-82: 16 1988 2007 McDonnell Douglas MD-90-30: 9 1997 2010 Xian MA-60: Unknown Unknown Unknown Acquired from Wuhan Airlines. Yakovlev Yak-42: Unknown Unknown Unknown
According to a report published by the Water Footprint organization in 2010, a single kilogram of beef requires 15 thousand litres (3.3 × 10 ^ 3 imp gal; 4.0 × 10 ^ 3 US gal) of water; however, the authors also make clear that this is a global average and circumstantial factors determine the amount of water used in beef production.
PHP has a direct module interface called SAPI for different web servers; [273] in case of PHP 5 and Apache 2.0 on Windows, it is provided in form of a DLL file called php5apache2.dll, [274] which is a module that, among other functions, provides an interface between PHP and the web server, implemented in a form that the server understands. This ...
Korean painting, as an independent form, began around 108 B.C., around the fall of Gojoseon, making it one of the oldest in the world. The artwork of that time period evolved into the various styles that characterized the Three Kingdoms of Korea period, most notably the paintings and frescoes that adorn the tombs of Goguryeo 's royalty.
[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 ]