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It reduces a time series of length n to a string of length w, where w
As stated before, a CRM is a window of given length w with at least one hit for TF A and one hit of TF B. We split up the calculation of this co-occurrence event into three parts: Let N w (A)=∑ j =1 w (Y j (A)+ Y′ j (A)) denote the random variable for the number of hits of TF A in a random sequence of length w where we allow hits overlapping the boundary of the window.
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To show that the vector l s 1 (i ) can be derived from the irredundant common subwords, we define a new vector of scores l w for each subword w, where l w [ j] = | w|− j + 1 represents the length of each suffix j of w, with j = 1,…,| w|.
Tumor volume (V) was measured using a caliper by determining the length (L) and width (W), where V = (L×W2)/2.
Tumor growth was monitored weekly and the sizes were recorded using a caliper by determining the length (L) and width (W), where V = (L×W2)/2.
Tumor volume (V) was estimated using a caliper by measuring the maximal length (L) and width (W), where V = (L × W /2.
Tumour volume was measured twice weekly using a calliper and calculated according to the approximation formula: volume (mm)= π/6 × (L × W), where L represents length defined as the largest tumour extension in the coronary plane and W represents the width defined as the largest tumour extension perpendicular to L in the same plane.
As shown in Section "Correctness of the recursive computation", this implies that ed (α, β w) = dup + ed (α, t a ) + ed (α, t b ) for some partition (t a, t b ) ∈ P (β w), where the lengths of simple scripts from α to t a and to t b are strictly shorter than r.
Prostate volume was calculated by using the following formula: (1) Π / 6 × L × W × H × H, where L = length, W = width, and H = height.
Tumor volume was measured weekly by a digital vernier caliper (Mitutoyo, Japan) and reported according to the following formula [ 21]: (2) V = 1 6 π L W D, where L = length, W = width, and D = depth.
Tumors were measured using digital calipers and tumor volume (mm) was calculated using the following formula, based on the assumption of a near-spherical tumor shape: V = ((l + w)/4 3 * 1.33 * PI, where l = length, w = width.
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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