"complete sums" is a correct and usable sentence in written English.
You can use it to refer to the action of completing a set of arithmetic problems or calculations. For example, "I need to complete these sums before the end of the day."
By applying these generating functions, we prove complete sums of products of the twisted -extension of Euler polynomials and numbers.
We use the abbreviation (sum_{mathbf{x}} = sum_{{mathbf{x}} inmathbb{Z}_{p^{2} }^{n} } ) for complete sums.
By applying their generating functions, they derived the complete sums of products of the twisted (h, q -extension of Euler polynomials and numbers.
In [1], Simsek evaluated the complete sums for the Euler numbers and polynomials and obtained some identities related to Euler numbers and polynomials from his complete sums, and Jang et al. [2] also considered the sums of products of Euler numbers.
For any x ∈ Z p 2, let e p 2 ( x ) = e 2 π i x / p 2. We use the abbreviation ∑ x = ∑ x ∈ Z p 2 n for complete sums.
Log them as complete sums under each category.
Hence we have the complete sum for q-Euler polynomials as follows.
The complete "sum-over-trips" rules for the more general case of an arbitrary network geometry are also presented.
In this paper, we will evaluate the complete sum of the -Euler polynomials and numbers using the fermionic -adic -Volkenborn integral on.
We have the formulae for the complete sum of the products of -Euler polynomials related to the higher order -Euler polynomials using the fermionic -adic -Volkenborn integral on.
They should not be allowed in personal care products, even if they are natural substances The chemical safety report does not need to consider the risks to human health from the use of cosmetic products ([20] Art. 14 5(b)) Realistic risk assessments should consider the complete sum of exposure routes.
