Sentence examples for homogeneous component from inspiring English sources

The homogeneous component (y'+frac{displaystyle ax+by+c}{displaystyle alpha x+beta y+gamma }=0) is invariant w.r.t.

Namely, short-range reordering occurring in the bulk of the crystal is responsible for the homogeneous component of the stabilization.

The first is a near-wall correction segregated from the homogeneous component of the model, which allows for a new paradigm for model development and comparison.

In particular, for m ∈ Z, the homogeneous component L K ( E ) m of degree m consists of K -linear combinations of elements of the form α β ∗, where r = r , and ℓ = m.

The homogeneous component (y'+frac{displaystyle abig (frac{y}{x}big )^2+bfrac{y}{x}+c}{displaystyle alpha big (frac{y}{x}big )^2+beta frac{y}{x}+gamma }=0) is invariant w.r.t.

Let (overline{L(Gamma ) }) be the completion of the topological algebra (L(Gamma ).) Let (overline{L(Gamma ) }_i) denote the completion of the homogeneous component (L(Gamma )_i) of degree i in the algebra (overline{L(Gamma ) }.) The main focus of this paper will be on the completion begin{aligned} {widehat{L}}(Gamma )=sum limits _{iin {mathbb {Z}}} overline{L(Gamma )_i}.

where and are the homogeneous components of degree m of P π and, respectively.

In addition, the synergistic effect between homogeneous and heterogeneous components is also reviewed focusing on interaction of homogeneous components and the active sites (typically metal species) of heterogeneous components and interaction between homogeneous components and reactants.

All homogeneous components are dissolved in a single film then spread on an optically inert transparent polyester support.

In this paper, the levels of analysis for homogeneous components are described and the background to their derivation is discussed.

Microwave absorbers have been widely utilized in integrated circuits, yet most of them are single layer structure with homogeneous components.