Sentence examples for introduce homogeneous from inspiring English sources

Indeed starting from initial data, we introduce homogeneous variables through and compute the homogeneity degree of the iterates of the mapping in, to which we assign the same degree 1, while is assigned the degree 0. For a generic, nonintegrable mapping, the degree growth of the iterates is exponential.

In particular, we introduce "homogeneous" Young measures, separately at regular and singular points, which exhibit rather different behavior than the classical homogeneous Young measures.

Lysozyme was selected as a model bioactive substance to demonstrate the efficiency of this process; this was directly mixed into MgP powder to introduce homogeneous distribution in the scaffold.

As early as 1850, Julius Plücker had united analytic and projective geometry by introducing homogeneous coordinates that represent points in the Euclidean plane (see Euclidean geometry) and at infinity in a uniform way as triples.

In this work he introduced homogeneous coordinates (essentially, the extension of coordinates to include a "point at infinity") into analytic geometry and also dealt with geometric transformations, in particular projective transformations that later played an essential part in the systematic development of projective geometry.

In this chapter, two well-known separation processes are introduced: homogeneous and heterogeneous azeotropic distillation.

We introduced homogeneous experimental noise to the data in the form of Gaussian noise with zero mean and varying standard deviation.

We also introduce a homogeneous norm defined by | ( x, t ) | = ( x 4 + 4 t 2 ) 1 4 (cf. [11]).

Let us introduce the homogeneous system B ( t ) d x d t = A ( t ) x, t ∈ [ a, b ] (3).

Here we introduce a homogeneous human leukocyte antigen (HLA)–DQA1∗05 end-point PCR assay based on switchable lanthanide luminescence probe technology and a simple dried blood sample preparation.

Here, we introduce a homogeneous and rapid quadratic polynomial amplification strategy through rational design of a trifunctional molecular beacon, which serves as not only a reporter molecule but also a bridge to couple two stage amplification modules without adding any reaction components or process other than basic linear amplification.