This gives the meaning of the terms as generally understood in the middle of the 18th century. Robert Hooper's Physician's Vade-Mecum, published in 1812 has been used as a source of terms in the early 19th century; many of the terms mentioned are still in common use.
In either case, the value at x = 0 is defined to be the limiting value sinc(0) = 1. The normalization causes the definite integral of the function over the real numbers to equal 1 (whereas the same integral of the unnormalized sinc function has a value of Ï).
The standard form of equation for the sin function is y = Asin(Bx-C) where A is amplitude, Period is 2Ï/B, and the phase shift is equal to Bx-C set to zero. C is then obtained in this equation. For given problem: A is equal to 2, period=2Ï/B=2Ï/1=2Ï, where B is equal to 1. Period then is equal to A. 2pi. Comments.