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The buckling effect is represented by using an equivalent negative strain-hardening, introduced to the material model.
The proposed validation approach is based on the use of Description Logics, variability is represented by using the well-known Feature Models and behavior of process models is considered in terms of control flow patterns.
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).
For example, a tool face angle (0 to 360°) is represented by using a 7 bits binary source code.
The output of this uniform quantizer is a digital signal which is represented by using +1 and −1 volts for binary 0 and 1, respectively, which is shown in the upper part of Fig. 8.
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Connections between links are represented by using the graph theory.
The random mass density and elastic modulus are represented by using the Karhunen Loève (KL) expansion.
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.
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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