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Algorithms for use in the finite element method are simplified since the adjoint system gives exactly the same solutions as those of the original system.
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Descartes's method was simplified by Hudde, a member of the Leiden group of mathematicians, and was published in 1659 in van Schooten's edition of La Géométrie.
Over a thousand years, the Sumerian alternating-base method was simplified into the sexagesimal system, with the same symbol standing for 1 or 60 or 3,600, depending on its place in the number, Dr. Melville said, just as 1 in the decimal system denotes 1, 10 or 100, depending on its place.
By applying the essential matrix, the complicated calibration process of the original method is simplified.
Due to its mathematical complexity, the method is simplified into a linear convolution filter.
When (m=n), (W=I ), (Lambda(t)=I in R^{ntimes n}), our method is simplified to be complete synchronization.
(2) When (l=n), (W=I in R^{ntimes n}), and (Lambda(t)=(Lambda _{ks}(t)) in R^{ntimes m}), our method is simplified to be FPS.
(5) When (m=n), (W=I ), (Lambda(t)=I in R^{ntimes n}), our method is simplified to be complete synchronization.
When (m=n), (W=I ), (Lambda(t)=(Lambda_{ks}(t)) in R^{ntimes n}), our method is simplified to be FPS of chaotic systems with the same dimensions.
(7) When (m=n), (W=I ), (Lambda(t)=-I in R^{ntimes n}), our method is simplified to be anti-phase synchronization.
When (m=n), (W=I ), (Lambda(t)=operatorname{diag} d, ldots, d) in R^{ntimes n}) is a nonzero constant matrix, our method is simplified to be PS of chaotic systems with the same dimensions.
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