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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 mathematics, an operator or transform is a function from one space of functions to another. ... Indefinite sum operator (inverse operator of difference) [] = ...
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
[1] [2] [a] Such operators often preserve properties, such as continuity. For example, differentiation and indefinite integration are linear operators; operators that are built from them are called differential operators, integral operators or integro-differential operators. Operator is also used for denoting the symbol of a mathematical operation.
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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
In mathematics, summation is the addition of a sequence of numbers, called addends or summands; the result is their sum or total.Beside numbers, other types of values can be summed as well: functions, vectors, matrices, polynomials and, in general, elements of any type of mathematical objects on which an operation denoted "+" is defined.
Indefinite product; Indefinite sum; Infinite expression; Infinite product; Intensity-duration-frequency curve; Interchange of limiting operations; International Workshop on Operator Theory and its Applications; Introductio in analysin infinitorum; Isoperimetric dimension