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The smooth curve (x^{mathrm{FB}}=0) divides the pattern into two parts and the left one represents (x^{mathrm{FB}}>0).
Embedding a bit in any zero coefficients will break the run-length pattern into two and the bit-rate increase will depend on the original and the resulting run-length patterns.
In order to reduce the dimension of LTP, a coding scheme is also represented by Tan and Triggs [32] by splitting each ternary pattern into two parts: the positive part and the negative part, as illustrated in Figure 3. Though the LTP codes are more resistant to noise, it is no longer strictly invariant to gray-level transformations.
To simplify the complex flow in the composite blocks as shown in Fig. 6, we decompose the flow pattern into two flow patterns (for two-dimensional case) with main flow directions along x- and y-directions, which are shown in Fig. 20a, b.
Open image in new window Fig. 20 Decomposition of the flow pattern into two with main flow directions along x- and y-directions; and the approximate pressure curves through the two separated parts (A and B for x-direction pattern, C and D for y-direction pattern) of each pattern.
We divide explanations for this pattern into two broad classes.
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A total of 52 fractions (each of 12 mL) were collected and pooled according to their TLC pattern into four fractions.
Google earth images were used to digitize the existing land pattern into five classes as the images available in that are of high resolution and can be zoomed in and out to get a clear vision of the area.
We categorized alcohol-drinking pattern into three groups based on the alcohol-use disorders identification test (AUDIT): low-risk (score: 0 7), intermediate-risk (score: 8 14), and high-risk (score: ≥15).
The analysis then decomposed the left-sided lateral vein pattern into six NGP elements: upper side of the Cd element, discal spots (DS) and central proximal (Cp) element (closely attached to form a single straight line), basal (B) and root (R) elements in the forewing, and the Cp element (fragmented into two elements) in the hindwing.
Austrian zoologist Konrad Lorenz, who won a Nobel Prize for his ethological studies, went so far as to classify behaviour patterns into two distinct categories: acquired and innate.
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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