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In probability theory and statistics, the chi-squared distribution (also chi-square or -distribution) with degrees of freedom is the distribution of a sum of the squares of independent standard normal random variables.
if a number is divisible by 2, but not by 3, its square ends in 4, and its preceding digit must be 0, 1, 4, 5, 8, or 9; and; if a number is not divisible by 2, but by 3, its square ends in 9, and its preceding digit must be 0 or 6. Similar rules can be given for other bases, or for earlier digits (the tens instead of the units digit, for example).
The MSE either assesses the quality of a predictor (i.e., a function mapping arbitrary inputs to a sample of values of some random variable), or of an estimator (i.e., a mathematical function mapping a sample of data to an estimate of a parameter of the population from which the data is sampled).
The Syllabus of Errors is the name given to an index document issued by the Holy See under Pope Pius IX on 8 December 1864 at the same time as his encyclical letter Quanta cura. [1] It collected a total of 80 propositions that the Pope considered to be current errors or heresies , pairing the briefest headings with references to the various ...
Final Fantasy IX was released to critical acclaim and commercial success, selling more than 5.5 million copies on PlayStation by March 2016. It was re-released in 2010 as a PS1 Classic on the PlayStation Store —this version was compatible with PlayStation 3 and PlayStation Portable ; PlayStation Vita support arrived in 2012.
Sri Sultan Hamengkubuwono IX (Hanacaraka: ꦯꦿꦶꦯꦸꦭ꧀ꦡꦟ꧀ꦲꦩꦼꦁꦑꦸꦨꦸꦮꦟ꧇꧙꧇; 12 April 1912 – 2 October 1988 [a]), often abbreviated as HB IX, was an Indonesian politician and Javanese royal who was the second vice president of Indonesia, the ninth sultan of Yogyakarta, and the first governor of the Special Region of Yogyakarta.
Qui pluribus (subtitled "On Faith And Religion") is an encyclical promulgated by Pope Pius IX on 9 November 1846. It was the first encyclical of his reign and written to urge the prelates to be on guard against the dangers posed by rationalism, pantheism, socialism, communism and other popular philosophies.