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The rest of this paper is mainly concerned with applications of these operator identities.
In this paper, we construct two generalized q-exponential operators with three parameters and obtain some operator identities.
The next section is devoted to the construction of two generalized q-exponential operator with three parameters and we establish some operator identities.
Inspired by their work, in this paper, we construct two generalized q-exponential operator with three parameters and give some operator identities to further investigate the applications of the operator technique.
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Pivot tables were then used to summarise the production data by time of day (hourly intervals), operation (scanning or processing), operator identity (ID), and first shift/second shift classification.
We therefore establish the following operator identity.
In this paper, we establish one general q-exponential operator identity by solving one simple q-difference equation.
With operator identity recognition, the gesture classification model owned by the operator can be further adjusted using the operator's active gestures, and a user-adaptive sport instructor robot system can then be achieved.
and the Euler-Lagrange, Lie-Bäcklund and Noether operators are connected by the operator identity X + D i ( ξ i ) = W α δ δ u α + D i N i. (3.11).
Similar to the procedure of proving Theorem 2, we establish the following operator identity, which leads to Zhang and Yang's conclusion [10] when (u=q^{-N}) or (v=q^{-N}).
Mr. Touré said operators' identities would be withheld to help prevent such problems.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com