Sentence examples for imposed on the coefficients from inspiring English sources
The line shows the estimates with linear restrictions imposed on the coefficients.
For the SDDE with Markovian switching again, the following hypothesis is imposed on the coefficients f and g.
Further, the method used here permits us to relax the restrictions usually imposed on the coefficients of equation (1.1).
As it is shown in [34] for the sublinear terms case, we can also remove the sign condition imposed on the coefficients of the sub-half-linear terms to obtain interval criterion which is applicable for the case when some or all of the functions,, are nonpositive.
In general, if the polynomial in Eq. (3) is of degree m, then it has to be implied that the side conditions (orthogonality) imposed on the coefficients λ i are mathop sum limits_{i = 1}^{N} lambda_{i} q(x_{i} ) = 0, (4)for all polynomials q with m being its highest degree.
To guarantee the positive solutions without explosion (i.e., the global positive solutions), some conditions are in general needed to impose on the coefficients of system (1.2).
Next, we impose on the coefficients of (1) a pointwise (inxandt) weak law of large numbers and a weak invariance principleh tε−10 k 0k |k|⩽2p⇒{Θk}|k|⩽2p ((3))inC([0, T], H1), H1being a separable Hilbert space of functions andh∈ 0, 1) denoting a constant.
To guarantee the stability, some stability constraints have to be imposed on the denominator coefficients.
Quantization noise imposed on the associated coefficients produces visual distortions that are localized in spatial frequency and orientation and can also be correlated to the image.
Compared with the results in Huang et al. [10] and Wang et al. [11], the condition (A2) (see Section 2) imposed on the true coefficients is much weaker.
