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Firstly, notice that you are procrastinating and acknowledge this.
Proof: Firstly, notice that if x t) is proper, then the members of the set of random variables { ε k } ∪ { ε k * } are orthogonal.
Proof Firstly, notice that R ( n ) statistic has an equivalent expression R ( n ) = max 1 ≤ i < j ≤ n | S j − S i − j − i n S n | (3.15).
Firstly, notice that, since all the parameters (including the time step h) are assumed to be positive and (I_{k},N_{k} geq0), (A,B,C,D,J,F,G > 0) and (H geq0) from (11).
Firstly, notice that if φ is continuous and φ ( t ) < t for all t > 0, then φ ( 0 ) = 0, so the condition φ ( 0 ) = 0 in (i) can be avoided.
Firstly, notice that x t) is a fixed point of the operator ( T u ) ( t ) = ∫ 0 1 G ( t, s ) f ( s, u ( s ) ) d s and, consequently, x ( t ) = ∫ 0 1 G ( t, s ) f ( s, x ( s ) ) d s.
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This phenomenon was firstly noticed and studied by one of the author (Li S C) in early 1980's on cavitating Venturi flows.
It was firstly noticed that a reasonable assumption can be made from the image, that is, the original image of the damaged region should be left-right symmetric to the right part of the head.
To analyze the likelihood model for the autotetraploid marker data, we firstly noticed that the parameter α involves information of allele segregation at the green marker only.
Firstly we notice that in the case n = 3, Definitions 1.9 and 1.11, g x 1 = F ( x 1, x 2, x 3 ), g x 2 = F ( x 2, x 3, x 1 ), g x 3 = F ( x 3, x 1, x 2 ), do not extend the notion of tripled coincidence point by Berinde and Borcut [4].
Firstly, congratulations!
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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