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An additional benefit is that the skeleton-based ARAP modeling can approximately preserve the volume of an object with large-scale deformations.
For the generalized KdV equation, the semi-discrete formulation is shown to preserve both the first and the third conserved integrals, and approximately preserve the second conserved integral; for the linearized KdV equation, all the first three conserved integrals are preserved, and optimal error estimates are obtained for polynomials of even degree.
Variations in potential temperature approximately preserve the form of the grain-size probability density functions.
Therefore, we investigated two new types of escape manoeuvres (not studied in models of coordinated grouping before) that are observed in birds and approximately preserve flock shape.
Arrange the new subframe you will make and the car seat's mounting on it to approximately preserve this distance, reducing the chance that the chair will tip backwards.
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Geometrical shapes are interactively deformed so that mean curvature normals are approximately preserved in a least-squares sense and positional constraints and form-feature constraints are precisely satisfied.
Roughly speaking, a stable embedding approximately preserves the Euclidean distances between all vectors in the original space in the feature space of reduced dimensions.
Basically, the RIP dictates that every set of columns of Φ with cardinality smaller than s approximately behaves like an orthonormal system, such that it approximately preserves the ℓ 2-distance between any pair of s-sparse vectors.
But, an exact computation of fitness may not be really necessary as long as a proper rank is approximately preserved in the evolution's scheme of the survival of the fittest.
One condition on Φ that has been used to establish recovery bounds is known as the Restricted Isometry Property (RIP) [16], which requires that pairwise distances between sparse signals be approximately preserved in the measurement space.
Based on these analyses, a design procedure and a design example at 3 GHz are presented to achieve an integrated coupler with minimized S11 by adjusting the components quality factors while the other S-parameters are approximately preserved in comparison to ideal lossless case.
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