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where I n is an n-dimensional identity matrix, and 0 n,n and 0 m,n are matrices of zeros, where n is the order of the target state vector, and m is the order of the position measurement vector.
First, the eggplant super-scaffolds successfully mapped onto the tomato genome were aligned according to the order of the position on the tomato genome.
Each gene has been numbered as following: Egr, followed by the protein abbreviation and by a number representing the order of the position on the chromosomes.
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Note that the order of the positions used to iteratively calculate the sub-problem, ( Cleft( {s, w, 1:{text{R}}} right) ), will not affect the results of the optimal solutions according to our proven Lemma 4. If we select any arbitrary order of s substituted positions to calculate ( C s,w,1 R) ), the solutions of ( C s,w,1 R) ) are unchanged.
A random integer generator (http://www.random.org/nform.html) was used to randomly select the order of the positions in which the PFM were tested.
Here vertices of the MI graph are arranged on a circular ring in the order of the corresponding position location on the 7-TMs.
Problems associated with the necessity of second order derivative of the position are discussed, and an exact-robust differentiator is then applied.
One of the reasons for that is that the left-right order for the positioning of the descendants of a node affects the representation, even though it is biologically not interesting.
To estimate instantaneous velocity, we took first-order differences of the position estimate and multiplied by the video frame rate.
Formally, for a block B i, j with pivot C p, let L ∼ (B i, j ) be the descending ordered list of the positions of all left endpoints in the set L (B i, j ), and let R ∼ (B i, j ) be the ascending ordering list of the position of all right endpoints in the set R (B i, j ).
The order of the "rectangle" positions with the period of 8a remains in such rows.
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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