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It's a single data point in a very complicated matrix.
MSP algorithm requires a series of eigenvalue decompositions and SVDs, which bring in high computational complexity and complicated matrix computations.
Now matrix rank formulas have become a magic weapon of simplifying and establishing various complicated matrix expressions and matrix equalities that involve generalized inverses of matrices.
Generally, many traditional Korean foods are made through fermentation of a mixture of various food materials, and therefore these foods have complicated matrix properties.
One advantage of this method is that it does not need complicated matrix operations, so the computation cost can be reduced.
This method does not involve complicated matrix operations or symmetry analysis, works for arbitrary initial configurations, and can handle large scale regular or irregular tensegrity structures with or without material/geometrical constraints.
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Thus, the two metal ions can be determined in different and complicated matrices.
A very important aspect in metal toxin removal is the preparation of functionalized sorbents for affinity or selective removal of hazardous metal ions from complicated matrices.
The developed method due to simplicity and rapidity is able successful for repeatable and accurate monitoring of under study analytes from complicated matrices.
To solve the buckling problem we apply the separation of variables and expansion of all fields into Fourier series in circumferential direction, with subsequent accurate calculations of eigenvalues of determinants of corresponding 8 × 8 complicated matrices.
In light of the data obtained in the present work, this new set-up for EME with low voltages has a future potential as a simple, selective, and fast sample preparation technique for simultaneous extraction and determination of acidic and basic drugs in different complicated matrices.
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