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Divided differences. In mathematics, divided differences is an algorithm, historically used for computing tables of logarithms and trigonometric functions. [citation needed] Charles Babbage 's difference engine, an early mechanical calculator, was designed to use this algorithm in its operation. [1]
Given below is the five-point method for the first derivative (five-point stencil in one dimension): [10] ′ = (+) + (+) + + (), where [, +]. For other stencil configurations and derivative orders, the Finite Difference Coefficients Calculator is a tool that can be used to generate derivative approximation methods for any stencil with any ...
v. t. e. Calculator is a basic calculator application made by Apple Inc. and bundled with its macOS, iOS, iPadOS, and watchOS operating systems. It has three modes: basic, scientific, and programmer. The basic mode includes a number pad, buttons for adding, subtracting, multiplying, and dividing, as well as memory keys.
The London Science Museum 's difference engine, the first one actually built from Babbage's design. The design has the same precision on all columns, but in calculating polynomials, the precision on the higher-order columns could be lower. A difference engine is an automatic mechanical calculator designed to tabulate polynomial functions.
Arbitrary stencil points. For arbitrary stencil points and any derivative of order up to one less than the number of stencil points, the finite difference coefficients can be obtained by solving the linear equations [6] where is the Kronecker delta, equal to one if , and zero otherwise. Example, for , order of differentiation :
Order of operations. In mathematics and computer programming, the order of operations is a collection of rules that reflect conventions about which operations to perform first in order to evaluate a given mathematical expression. These rules are formalized with a ranking of the operations. The rank of an operation is called its precedence, and ...
Newton polynomial. In the mathematical field of numerical analysis, a Newton polynomial, named after its inventor Isaac Newton, [1] is an interpolation polynomial for a given set of data points. The Newton polynomial is sometimes called Newton's divided differences interpolation polynomial because the coefficients of the polynomial are ...
VisiCalc ("visible calculator") [1] is the first spreadsheet computer program for personal computers, [2] originally released for the Apple II by VisiCorp on October 17, 1979. [1] [3] It is considered the killer application for the Apple II, [4] turning the microcomputer from a hobby for computer enthusiasts into a serious business tool, and then prompting IBM to introduce the IBM PC two years ...