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In discrete calculus the indefinite sum operator (also known as the antidifference operator), denoted by or , [1] [2] is the linear operator, inverse of the forward difference operator. It relates to the forward difference operator as the indefinite integral relates to the derivative .
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 has only eleven 1s after the decimal, the true difference when ‘1’ is subtracted is three 0s followed by a string of eleven 1s.
This list of mathematical series contains formulae for finite and infinite sums. It can be used in conjunction with other tools for evaluating sums. Here, is taken to have the value
Empty sum, a sum with no terms; Indefinite sum, the inverse of a finite difference; Kronecker sum, an operation considered a kind of addition for matrices; Matrix addition, in linear algebra; Minkowski addition, a sum of two subsets of a vector space; Power sum symmetric polynomial, in commutative algebra; Prefix sum, in computing
Indefinite sum – the inverse of a finite difference; Integration using Euler's formula – Use of complex numbers to evaluate integrals; Liouville's theorem (differential algebra) – Says when antiderivatives of elementary functions can be expressed as elementary functions; List of limits
Kroger’s $25 billion proposed takeover of rival Albertsons ultimately failed because two judges – one federal and the other from the state of Washington – didn’t buy the competitive vision ...
The Federal Reserve’s top banking regulator Michael Barr will step down from his position in February, saying that "the risk of a dispute over the position could be a distraction from our mission."
In mathematics, an operator or transform is a function from one space of functions to another. Operators occur commonly in engineering, physics and mathematics. Many are integral operators and differential operators. In the following L is an operator :