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Microsoft Excel (using the default 1900 Date System) cannot display dates before the year 1900, although this is not due to a two-digit integer being used to represent the year: Excel uses a floating-point number to store dates and times. The number 1.0 represents the first second of January 1, 1900, in the 1900 Date System (or January 2, 1904 ...
In number theory, Ramanujan's sum, usually denoted c q (n), is a function of two positive integer variables q and n defined by the formula c q ( n ) = ∑ 1 ≤ a ≤ q ( a , q ) = 1 e 2 π i a q n , {\displaystyle c_{q}(n)=\sum _{1\leq a\leq q \atop (a,q)=1}e^{2\pi i{\tfrac {a}{q}}n},}
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 Excel. Because the sum in the second line has only eleven 1's after the decimal, the difference when 1 is subtracted from this displayed value is three 0's followed by a string of eleven 1's.
He developed formulas for calculating the surface area and volume of solids of revolution and used the method of exhaustion to calculate the area under the arc of a parabola with the summation of an infinite series, in a manner not too dissimilar from modern calculus. [81]
Vieta's formulas are then useful because they provide relations between the roots without having to compute them. For polynomials over a commutative ring that is not an integral domain, Vieta's formulas are only valid when a n {\displaystyle a_{n}} is not a zero-divisor and P ( x ) {\displaystyle P(x)} factors as a n ( x − r 1 ) ( x − r 2 ) …
Notes: Tax rate is the sum of the OASDI and Medicare rate for employers and workers. In 2011 and 2012, the OASDI tax rate on workers was set temporarily to 4.2% while the employers OASDI rate remained at 6.2% giving 10.4% total rate. Medicare taxes of 2.9% now (2013) have no taxable income ceiling. Sources: Social Security Administration [12] [13]
Newton "recognized Christ as a divine mediator between God and man, who was subordinate to the Father who created him." [161] He was especially interested in prophecy, but for him, "the great apostasy was trinitarianism." [162] Newton tried unsuccessfully to obtain one of the two fellowships that exempted the holder from the ordination requirement.
The count has its origins in the biblical command of the Omer offering (or sheaf-offering), which was offered on Passover, and after which 49 days were counted, and the Shavuot holiday was observed. The Temple sacrifices have not been offered since the destruction of the Temple in Jerusalem, but the counting until Shavuot is still performed ...