Sentence examples for matrix and reductions from inspiring English sources

Basic methods detect the location and severity of structural damage by minimizing the difference between test and analytic FRFs, which is a type of model updating or optimization method; however, the preferred method proposed in this paper uses only a subset of vectors from the full set of FRFs for a few frequencies and calculates the stiffness matrix and reductions in explicit form.

Although most of the objective and subjective MACI outcome data, such as the formation of a hyaline-like cartilage matrix and reduction of pain and mobility problems, were positive, current tissue engineering applications clearly do not result in true native tissues.

Outside of these examples, the reshaping of the landscape and disturbance of topsoil is likely to have different ecological consequences depending on the underlying landform and lithology due to both obvious and subtle losses of matrix structure and reductions in nutrient status and microbial viability (Cooke and Johnson 2002; Bradshaw 2004; Bens and Hüttl 2005; Banning et al. 2012).

Both increased matrix deposition and reduction in matrix degradation concur in the accumulation of the fibrotic scar [ 8].

Consider the matrices < FmL, T > over the formula algebra, where T is a theory of L. These matrices are known as the Lindenbaum matrices of L. It is not difficult to see that the class of those matrices is a matrix semantics for L. Since a matrix and its reduction are models of the same logics, the reductions of the Lindenbaum matrices of L constitute a reduced matrix semantics for L too.

Reactive solute transport of 4-Cl-Nb 4-Cl-Nb 4-Cl-Nbconsidering instantaneous sorption on to the clay matrix and a reduction washin the immobile water region following first-order kinetics.

The readout is controlled at the chip periphery with a signal synchronous with the clock, allows a good digital and analogue signal separation in the matrix and a reduction of the power consumption.

The strongest interfacial Sc segregation is generated in the 523 K-aged alloy, resulting in an interfacial Sc concentration about 10 times greater than that in the matrix and a reduction of ∼25% in interfacial energy.

These findings confirm that CNFs possess excellent potential to be used as a thermal expansion compensator for the modification of the thermal behavior of the epoxy matrix and the reduction of the thermal residual stresses in the fiber/epoxy laminated composites.

A matrix and its reduction are models of exactly the same logic systems, and since reduced matrices have no redundant elements, the classes of reduced matrices that are matrix semantics for logic systems are usually taken as the classes of matrices that deserve study; they are better suited to encoding in algebraic-like terms the properties of the logics of which they are the semantics.

The incorporation of Ce ions induces the opposite trend in the absorptive NLO response at I 0≤I t : an enhancement of the photoinduced absorption variations efficiency by about 30% for the LSO crystalline matrix, and its reduction by up to 20% for the LGSO one.