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Before assessing the various measurement models, we normalized the scales and the dimensions by applying the normal score procedure [ 49], using Prelis 2.72 [ 50].
The piezoelectric stack and the whole transducer were tested using a calibration rig capable of applying the normal and tangential force independently.
The stability condition for bifurcating periodic solutions and the direction of Hopf bifurcation are studied by applying the normal form theory and the center manifold theorem.
Moreover, formulas for determining the properties of the bifurcating periodic oscillations are derived by applying the normal form method and center manifold theorem.
The direction and stability of the Hopf bifurcation are determined by constructing a center manifold and by applying the normal form method.
The bifurcation diagram is drawn in (ε,k -plane, and the stability and direction of the Hopf bifurcation are determined by applying the normal form theory and the center manifold theorem.
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The Agilent arrays were background corrected by applying the Normal-Exponential convolution model (Irizarry et al. 2003) and normalized using quantile normalization (Bolstad et al. 2003) with the Agi4x44PreProcess Bioconductor package (Lopez-Romero 2011).
The core of MMDA is to maximize the between-class margin on the decision boundary by applying the normals of a set of pairwise orthogonal margin maximizing hyperplanes to construct a projection subspace.
To test this, I used the SDLT calculator recommended by the guidance notes and it applied the normal SDLT rates to a notional purchase of £400,000 after I answered yes to the questions: "Will the purchase of the property result in owning two or more properties?" and: "Is the property being purchased replacing your main residence?".
We apply the normal form method and center manifold theorem to obtain the direction and stability of the Hopf bifurcation.
We find that the robot applies the normal force to the ground over (R_{mathrm{ref}}) in the leg-grope step (Step D′), as marked with black circles.
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