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By expressing this projection in terms of the modal basis, the number of significant modes in the analysis decreases drastically, and the computational effort is largely reduced.
Some of numerical methods usually use techniques based on a projection in terms of some basis functions or use some quadrature formulas, and the convergence rate of these methods are usually of polynomial order with respect to N, where N represents the number of terms of the expansion or the number of points of the quadrature formula.
Analytically, Eq. (10) allows a simplified projection in terms of life expectancy, the NRR, and the mean age of fertility.
where is a matrix containing shifted sinc functions, is a vector with entries the samples of the signal, and are the expansion coefficients of the projection in terms of the sinc functions.
Actually, among the most primitive defenses are denial and projection, denial in terms of avoidance and making believe things are not the way they are, and projection in terms of taking our own feelings we hate and fear and putting them on others to blame and blame and blame.
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Not only does the proposed method inherit the attractive characteristics of the locality preserving projections in terms of exploiting the intrinsic manifold structure, it is also appealing in terms of significant reduction in both space complexity and time complexity.
We don't really have projections in terms of how big the [Chinese] market is.
It also reports the number of computed projections in terms of the ratio.
The usual Kuratowski pair is inconvenient in NF or in NFU, because the pair is two types higher than its projections in terms of TST.
We mention also Lenard [421] who computes the joint numerical range (i.e. ({(langle varphi,Pvarphi rangle,langle varphi,Qvarphi rangle ),|,||varphi ||=1})) for pairs of projections in terms of the operator (Theta ) of remark 2 to Theorem 5.6.
Although similarities exist, no past event perfectly parallels future projections in terms of disrupting the balance of ocean carbonate chemistry a consequence of the unprecedented rapidity of CO2 release currently taking place.
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