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By the help of Theorem 2.5, Proposition 3.10, (17) and that ∇ a − ( n − α ) f ( a ) = 0, the authors in [20] obtained the following left important tools which led to a nabla integration by parts formula for fractional differences.
2. Be honest about what you can deliver - Weaver recognizes that analytics is a critical advantage for Dannon in competing in the market, but admits that IT was not always so good at providing these tools, which led the marketing department to leverage outside agencies.
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All retailers should stop multi-buy deals and other marketing tools which lead to customers wasting fresh food".
In both cases the technical tools which lead to the new results can be understood as using the special properties of quantum Markov states — states that saturate strong sub-additivity.
However, the limitation of dynamic properties for the CNC machine tools, which leads to the contouring-error, becomes a vital issue that affects the machining accuracy of the high-performance parts with complex curved surface.
The work of fabricating press dies is similar to, but not identical with, that of producing jigs, fixtures, and other tooling, which led to many of the specialized machine shops labeling themselves tool and die shops.
This paper reports on an assessment of use of a pain tool, which led to changes in both medium and program in order to adapt to the patients' needs and abilities.
A further approach is to modify the flank face of the tool, which leads to geometrical limitation of the flank wear.
It is based on the excitation of a particular higher vibration mode of a turning tool, which leads to the reduction of deleterious vibrations in the machine tool workpiece system through intensification of internal energy dissipation in the tool material.
Ram Rajagopal et al. [12] propose a rapid prototyping tool, which leads itself to a very smooth transition from design to implementation, allowing for powerful cosimulation strategies.
With the progress of cutting process, large amount of partial dislocations emits from top free surface in front of the cutting tool, which leads to considerable chips formed along the rake face of cutting tool, as shown in Fig. 4f.
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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