Sentence examples for elementary transformation from inspiring English sources

For an arbitrary, we define the following elementary transformation, which is denoted by : (i) if, then is transformed to another ordered partition from, say, such that the conditions and from Lemma 4 are satisfied;   (ii) otherwise, the ordered partition remains unchanged.  .

In fact, the function B κ c given by (1.20) is an elementary transformation of the generalized hypergeometric function.

Elementary transformation mechanisms which account for two- and three-step transformations in a system with small-scale microstructural heterogeneities were identified.

We refine this bound to a sharp dR S,T ⩽4n−8−ρS−ρT, where ρS and ρT are the numbers of vertices in the rightmost vertex chains of the two trees, using an elementary transformation algorithm.

Furthermore, we continue the elementary transformation on H r ∗ m i x to limit the numbers of "1" in the following n r –1 columns to one (except the first row), as shown in Equation 31.

According to the properties of the elementary transformation of matrix, similar matrices will become the same matrix after elementary transformation, and so their Code values are the same, and the mark the isomorphism class is the only.

The first row does not join the elementary transformations.

Instead, if nature conservation policies will develop towards creating strictly interpreted 'wildernesses' and excluding traditional engagements, we assume that some more elementary transformations in reindeer herding will follow.

An explicit form of F is simple to derive by elementary transformations taking into account (4.5) and the properties of the Cauchy matrix.

In this paper we present a method for systematic construction of the stiffness matrix of an arbitrary spatial frame element by performing a series of elementary transformations.

With BNICE, reactions in the KEGG database [ 24] are represented through approximately 250 unique elementary transformations, which approximately correspond to the classification at the 3rd EC digits [ 35, 36].