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A difference engine is an automatic mechanical calculator designed to tabulate polynomial functions. It was designed in the 1820s, and was first created by Charles Babbage . The name difference engine is derived from the method of finite differences , a way to interpolate or tabulate functions by using a small set of polynomial co-efficients.
L4 is a family of second-generation microkernels, used to implement a variety of types of operating systems (OS), though mostly for Unix-like, ...
L4, the transport layer in the OSI model of computer communications; L4, the fourth Lagrangian point in an astronomical orbital configuration; L 4, an L p space for p=4 (sometimes called Lebesgue spaces) L-4, the fourth iteration of L-carrier, high capacity frequency division multiplex over coaxial cable used by the Bell System
where () is the kth approximation or iteration of and (+) is the next or k + 1 iteration of . However, by taking advantage of the triangular form of ( D + ωL ), the elements of x ( k +1) can be computed sequentially using forward substitution :
Fractional iteration of a function can be defined: for instance, a half iterate of a function f is a function g such that g(g(x)) = f(x). [12] This function g ( x ) can be written using the index notation as f 1/2 ( x ) .
Long division is the standard algorithm used for pen-and-paper division of multi-digit numbers expressed in decimal notation. It shifts gradually from the left to the right end of the dividend, subtracting the largest possible multiple of the divisor (at the digit level) at each stage; the multiples then become the digits of the quotient, and the final difference is then the remainder.
In mathematics, Neville's algorithm is an algorithm used for polynomial interpolation that was derived by the mathematician Eric Harold Neville in 1934. Given n + 1 points, there is a unique polynomial of degree ≤ n which goes through the given points.
The result of each iteration is used as the starting values for the next. The values are checked during each iteration to see whether they have reached a critical "escape" condition, or "bailout". If that condition is reached, the calculation is stopped, the pixel is drawn, and the next x, y point is examined. For some starting values, escape ...