end{aligned} end{aligned} (2) In [27], we changed the form of the discrete zero-curvature equation as follows: (Delta V U_{n}=[U_{n},V], (3) where (Delta=E-1, Ef(n)=f(n+1),U_{n}) and V are Lax matrices which appear in the spectral problems varphi_{n+1}=U_{n}varphi_{n},qquad frac{dvarphi_{n}}{dt}=V varphi_{n},qquad varphi _{n}= varphi(n,t).
Counter-intuitively, it also simplifies the approximation of the Schur complement (pressure matrix) which appears in iterative solution methods such as SIMPLE.
where A is the standard homogenized matrix which appears in [2] and θ is, roughly speaking, the volume of the 'material' in Ω.
Immunofluorescence of the frozen tissue sections revealed that cells labelled for CK8 were not evenly distributed throughout the tissue but were organized in clusters within a region of matrix which appeared more gelatinous than the surrounding matrix.
Avocados contain an oil rich in monounsaturated fatty acids (MUFA) in a water based matrix, which appears to enhance nutrient and phytochemical bioavailability and masks the taste and texture of the dietary fiber (USDA, 2011; Unlu et al., 2005).
These CK8-positive cells were not uniformly distributed throughout the tissue but were grouped in small clusters in isolated regions of the matrix which appeared more gelatinous than the surrounding matrix of the nucleus; these clusters were found, independently of stages of maturity, in all discs examined.
Their extension leads to structures which in sections show double membranes crossing the matrix completely, and which appear as septae.
Another option is to set c j =1/ k, and then randomize matrix M. A third option is to randomize the membership matrix A, which appears to be the best option after testing with simulated data.
Carrageenans are naturally occurring anionic sulfated polysaccharides (SPs), which appear as matrix material in great quantities by certain red algae (Rhodophyta), such as Chondrus, Gigartina, Hypnea, and Eucheuma, wherein they serve a structural function similarity to that of cellulose in plants [ 29].
The nonlinear matrix inequalities which appeared in the criteria are successfully transformed into the LMIs to be solved easily by various effective optimization algorithms [23] or using the MATLAB LMI Control Toolbox [35].
Mock treated nasal septa revealed the presence of thick mats of B. bronchiseptica encased in matrix material which appeared to completely obscure the underlying ciliated epithelium (Fig. 7).
