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Observe that there is a pattern in the rightmost digit: adding and subtracting with 1 or 3. Starting from zero: 0 3 = 0; 1 3 = 1 up 1; 2 3 = 8 down 3; 3 3 = 27 down 1; 4 3 = 64 down 3; 5 3 = 125 up 1; 6 3 = 216 up 1; 7 3 = 343 down 3; 8 3 = 512 down 1; 9 3 = 729 down 3; 10 3 = 1000 up 1; There are two steps to extracting the cube root from the ...
Euler's result leads to the number theory result that the probability of two random numbers being relatively prime (that is, having no shared factors) is equal to 6/π 2. [ 186 ] [ 187 ] This probability is based on the observation that the probability that any number is divisible by a prime p is 1/ p (for example, every 7th integer is ...
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.
GDP fell by 3% in 2008 and by 7.1% in 2009, the worst year since records began (although earnings by foreign-owned businesses continued to grow). [98] The state has since experienced deep recession, with unemployment, which doubled during 2009, remaining above 14% in 2012.
Artificial intelligence (AI), in its broadest sense, is intelligence exhibited by machines, particularly computer systems.It is a field of research in computer science that develops and studies methods and software that enable machines to perceive their environment and use learning and intelligence to take actions that maximize their chances of achieving defined goals. [1]
3 13 2.0 2 House sparrow (Passer domesticus) 25 11 4.5 5 Greater roadrunner (Geococcyx californianus) 376 20 1.5 4 Turkey vulture (Cathartes aura) 2,200 39 1.0 2 Laysan albatross (Phoebastria immutabilis) 3,150 64 1.0 1 Magellanic penguin (Spheniscus magellanicus) 4,000 40 1.0 1 Golden eagle (Aquila chrysaetos) 4,800 40 1.0 2
Windows Phone 8.1 would share nearly 90% of the common Windows Runtime APIs with Windows 8.1 on PCs. [41] [43] [44] [45] A screenshot of a build identifying itself as "Windows Technical Preview" (numbered 9834) was leaked in September 2014, showing a new virtual desktop system, a notification center, and a new File Explorer icon. [46]