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The Basel problem is a problem in mathematical analysis with relevance to number theory, concerning an infinite sum of inverse squares. It was first posed by Pietro Mengoli in 1650 and solved by Leonhard Euler in 1734, [ 1 ] and read on 5 December 1735 in The Saint Petersburg Academy of Sciences. [ 2 ] Since the problem had withstood the ...
A formula for computing the trigonometric identities for the one-third angle exists, but it requires finding the zeroes of the cubic equation 4x 3 − 3x + d = 0, where is the value of the cosine function at the one-third angle and d is the known value of the cosine function at the full angle.
Power of two. A power of two is a number of the form 2n where n is an integer, that is, the result of exponentiation with number two as the base and integer n as the exponent. Powers of two with non-negative exponents are integers: 20 = 1, 21 = 2, and 2n is two multiplied by itself n times. [1][2] The first ten powers of 2 for non-negative ...
The binomial approximation is useful for approximately calculating powers of sums of 1 and a small number x. It states that. It is valid when and where and may be real or complex numbers. The benefit of this approximation is that is converted from an exponent to a multiplicative factor. This can greatly simplify mathematical expressions (as in ...
Besides showing the square root of 2 in sexagesimal (1 24 51 10), the tablet also gives an example where one side of the square is 30 and the diagonal then is 42 25 35. The sexagesimal digit 30 can also stand for 0 30 = 1 / 2 , in which case 0 42 25 35 is approximately 0.7071065.
This season was the highest rated season of Two and a Half Men, with an estimate viewership of 16.5 million. Also, the episode "Squab, Squab, Squab, Squab, Squab", received the show's second highest viewership with 24.2 million viewership, only surpassed by the ninth season's premiere, "Nice to Meet You, Walden Schmidt" with 28.74 million.
The X-Men are a superhero team in American comic books published by Marvel Comics. Created by writer/editor Stan Lee and artist/co-plotter Jack Kirby, the team first appeared in The X-Men #1 (September 1963). [1] Although initially cancelled in 1970 due to low sales, following its 1975 revival and subsequent direction under writer Chris ...
ATSF 3000 class 2-10-10-2. The forward section of the boiler is a primitive superheater and feedwater heater. In 1911 and 1912, the Atchison, Topeka and Santa Fe Railway modified ten 2-10-2 Baldwin -built locomotives into a new 2-10-10-2 configuration dubbed the 3000 class. They were the largest locomotives in the world from their introduction ...
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