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God has created not only the natural world and the order existing therein but also the ethical order to which humanity ought to conform and, implicit in the ethical order, the social order.
A function with its Caputo derivative of order existing on is a solution of (1.5) if it satisfies (1.5).
Because of all these issues, it is difficult to apply the approaches and methods for integer order existing in the literature to the non-integer case.
For the sake of convenience, we introduce the following notations: J 0 = [ 0, t 1 ], J 1 = ( t 1, t 2 ], …, J p − 1 = ( t p − 1, t p ], J p = ( t p, 1 ]. Definition 2.1 A function u ∈ P C ( J, E ) with its Caputo derivative of fractional order existing on J ′ is a solution of (2.1) if it satisfies (2.1).
We then permute the resulting contigs randomly to break the relative order existing among them.
The plant cell wall is described as existing as a multi-component structure that is hierarchical, with order existing on multiple length-scales.
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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