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Planet Nine easily fulfils Margot's mathematical constraints".
The job of the constraint programmer is to use mathematical constraints to model real world constraints and objects.
Principal component analysis (PCA) and independent component analysis (ICA) are two popular multivariate approaches with distinct mathematical constraints.
This variance demonstrates the sensitivity of the case to solver specific mathematical constraints and that for practical engineering a parameter study is essential.
Due to mathematical constraints on the resulting rigid 3D failure geometry, the critical surface of a deep and narrow trench emerges above the toe, termed the shallow failure.
MCR-ALS analysis with commonly used mathematical constraints has been successfully used to analyse multi-component systems having significant spectral overlap.
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For the moving grid simulations, the geometric conservation law (GCL) for metrics and the Jacobian is known as a mathematical constraint for capturing a uniform flow.
The inverse solution problem was stabilized by the minimum norm mathematical constraint: Out of the many current distributions that could account for the recorded sensor data, the solution with the minimum L2 norm (i.e., the minimum total power of the current distribution) was used.
The main conclusions are that the mathematical constraint of orthogonality has a dominant effect on the mode shapes, and association of the modes with physical causes may be fictitious in many cases.
In this work, by analysing excitation emission matrix fluorescence (EEMF) spectroscopic data sets with multivariate curve-resolution alternating least square (MCR-ALS) analysis under the commonly used mathematical constraint of non-negativity, an attempt was made to understand how the outcome of curve resolution technique can be influenced by the design of calibration sets.
The wrapped phase we have computed contains 2π jumps along the epipolar lines because of the mathematical constraint.
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