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Using the defined order, one can define the majorization [29].
In first order, one can state that dopant diffusion in Ge is dominated by vacancies, while mixed behavior can be expected for silicon.
To lowest order, one can use an approximation in which we assume that the bosons are essentially hard-core bosons (HCBs) [44].
When Rosen asked why Ritter's cabinet wasn't in compliance with the ethics order, one can only imagine how hard Ritter gulped before uttering the following: "Thank you to Jon Caldara and the Independence Institute [for revealing the lapse]." Ritter went on to say that the Owens order was a decade old, and thus needed updating.
For instance, by sorting the database by "Molecule", "State" and "Drug" (in this order), one can easily obtain for each molecule (and its state) the list of therapeutic agents whose efficacy is influenced by that molecule (in that particular state), as shown in Figure 1.
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For example a 1-form, integer-order one, can be shown as follows: (2.5).
It is known that the integer-order calculus is only determined by the local character of the function, while the fractional-order one can gather the global information of the function in the weighted form [13].
In order to get higher diversity orders, one can also consider the use of multiple-relay nodes [8].
By measuring the intensities in the first diffraction orders, one can calculate the modulation depth of the grating (Δn).
This is the result that given any n in the ordering one can find an example of a vertex map that does not have a periodic point of period m for any m ⋪ n.
Although these sets of markers are not ordered, one can still use them for breeding experiments as a whole -genome screening tool and for creating "classical" genetic maps.
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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