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The community structure has been represented by using a list of vectors which are identified by a 'community-ID'; each vector contains the list of user-IDs (in anonymized format) of the users belonging to the given community; an example is depicted in Table 3.
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His way of putting paint to canvas shows how texture and volume can be represented by using fairly heavy-handed, and somewhat unusual, cross-hatching techniques.
Connections between links are represented by using the graph theory.
Production requirement in any industry can be represented by using one or more of these types.
The random mass density and elastic modulus are represented by using the Karhunen Loève (KL) expansion.
The buckling effect is represented by using an equivalent negative strain-hardening, introduced to the material model.
For example, a tool face angle (0 to 360°) is represented by using a 7 bits binary source code.
In these simulations, only one gene is represented by using different colored objects (M&Ms or jellybeans).
The confidence interval is represented by using the interquartile range (IQR) L-estimator of the distribution (Huber and Ronchetti 2009).
The tool tip positions are represented by using a third order B-spline, while the tool orientations are represented by a third order polynomial-spline.
Domain knowledge in such systems can be represented by using different knowledge representation specifications and presentation of tests mainly depends on the type of domain knowledge.
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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