Sentence examples for type sum from inspiring English sources

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So (3.2) is a Riemann type sum.

It represents the ratio between the number of items correctly predicted as elements of a certain type or class (true positives or Tp), and the total number of items classified as belonging to that type (sum between Tp and items incorrectly classified as members of that class, False positives or Fp).

Type "SUM" or choose that option from the list of Excel functions you can make.

Type = in an empty cell that you wish for your sum to appear in, then type SUM.

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Furthermore, as far as we know, the theory of discrete fractional mixed type sum-difference equations boundary value problems in Banach spaces is still a new research area.

This paper is concerned with the existence of a unique solution to a nonlinear discrete fractional mixed type sum-difference equation boundary value problem in a Banach space.

In this paper, by means of Darbo's fixed point theorem, we establish the existence of solutions to a nonlinear discrete fractional mixed type sum-difference equation boundary value problem in a Banach space.

Lv and Feng [16] initially introduced some basic conceptions and fundamental results on discrete fractional calculus for any Banach-valued function and also, using of the contraction mapping principle, investigated the existence and uniqueness of solutions for a class of fractional mixed type sum-difference equation boundary value problems on discrete infinite intervals in Banach spaces.

In this paper, we will consider the existence of a unique solution to the following discrete fractional mixed type sum-difference equation boundary value problem in the Banach space E: { Δ α u ( t ) + f ( t + α − 1, u ( t + α − 1 ), ( T u ) ( t ), ( S u ) ( t ) ) = θ, t ∈ N 0, u ( α − n ) = Δ u ( α − n ) = Δ 2 u ( α − n ) = ⋯ = Δ n − 2 u ( α − n ) = θ, Δ α − 1 u = u ∞, (1.1).

We define some finite sums which are associated with the Dedekind type sums and Hardy-Berndt type sums.

The reciprocity laws for the special finite sums, that is, the Dedekind type sums, the Hardy-Berndt type sums, and the Simsek sum, are very important.

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