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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, 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.
In mathematics, an operator or transform is a function from one space of functions to another. ... Indefinite sum operator (inverse operator of difference) [] = ...
If () = ([,]) (that is, the infimum of f over [,]), the method is the lower rule and gives a lower Riemann sum or lower Darboux sum. All these Riemann summation methods are among the most basic ways to accomplish numerical integration .
Summation-by-parts operators for high order finite difference methods [ edit ] A summation-by-parts (SBP) finite difference operator conventionally consists of a centered difference interior scheme and specific boundary stencils that mimics behaviors of the corresponding integration-by-parts formulation.
Curl, (with operator symbol ) is a vector operator that measures a vector field's curling (winding around, rotating around) trend about a given point. As an extension of vector calculus operators to physics, engineering and tensor spaces, grad, div and curl operators also are often associated with tensor calculus as well as vector calculus.
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."
This is a generalization of the similar convention of denoting by + both the addition—the process of adding—and its result—the sum of and . Commonly, the terms of a series come from a ring , often the field R {\displaystyle \mathbb {R} } of the real numbers or the field C {\displaystyle \mathbb {C} } of the complex numbers .