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Table 2 shows the basic properties for the numerical analysis.
In order to prove the main theorems, we need the following lemma which includes the basic properties for stochastic domination.
One of the basic properties for harmonic self-mappings of ({mathbb {D}}) is the Heinz inequality [4].
To do this, we consider some of the basic properties for the integral operator corresponding to problem (P λ ) in the setting of weighted Sobolev spaces.
The basic properties for modification to be implemented in the non-separable structure shown in Fig. 8a, b have different lifting procedures but are equivalent as shown in Eqs.
In order to devise low-complexity distributed algorithms that can guarantee global optimality, we first study the basic properties for the solutions to (2), before transforming (2) into a more structured max min problem.
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The next one is the basic property for stochastic domination.
The first one is the basic property for WOD random variables, which was established by Wang et al. [13].
The precise distribution of the net charge along the myosin II rod seems to be the basic property for guiding self-association of myosin II molecules into ordered filaments, the basic unit for myosin II function.
In this paper we explored the basic properties of methods for estimating evolutionary distances, and studied how these properties affect the accuracy of distance-based phylogenetic reconstruction.
The other is the empirical formula for reliably predicting the basic properties of TLCDs, especially for head loss coefficients, to ensure the design objectives can be achieved.
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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