Sentence examples for natural module from inspiring English sources

For any module (M_cdot ) over (A_cdot ) and any complex (P_cdot in C_cdot (k)), we have a natural module (P_cdot otimes M_cdot ) given by begin{aligned} (P_cdot otimes M_cdot )(a) = P_cdot (a) otimes _k M_cdot (a), qquad a in A_cdot.

Let G=U2m(2) be the unitary group of dimension 2m≥6 over the finite field of four elements GF(4), W=GF(4 2m the natural module of G. Then G acts transitively on the set Ω of maximal totally isotropic m-dimensional subspaces of W. This permutation representation over R contains an irreducible representation of dimension d=(4m+2)/3.

Our methodology has allowed us to find "natural" modules of mammalian gene expression.

This conceptual gap needs to be resolved if we are to use natural modules systematically to redesign predictable and robust synthetic organisms.

First, for every single organ we detected a co-module containing this organ and its specific genes from mouse and human, which confirms that organs are "natural" modules of gene expression in mammals.

This shows that with the modular approach it is not only possible to discover "natural" modules of expression, but also to address questions about their evolutionary history since the divergence of two species.

Using the resulting co-modules, that contain genes and organs in which these genes are coherently expressed, we address several questions: 1) Are there any "natural" modules of mammalian organs, meaning groups of organs with very similar sets of co-expressed genes?

In order to improve overall neutron economy of the system, the fission blanket is designed with two types of modules, i.e. the natural uranium modules (U-modules) and thorium modules (Th-modules), which are alternately arranged in the toroidal and poloidal directions of the blanket.

Instead it refers to the range of subjects students study – in the first year they take three humanities modules, three social science modules and three natural science modules.

Figure 5 shows an overview of the natural language module.

Its user interface incorporates a natural language module.