Sentence examples for analysis the extension of from inspiring English sources

According to the young man's trenchant analysis, the "extension of suffrage … can never mean anything for [working men] but extension of boozing".

Since such functions cannot be included in Definition 3.1 (e.g., due to unintegrability in real analysis), the extension of Lemma 3.3 can serve as their definition, e.g., h ˆ β ( t, s ) = ∇ − ⌈ β ⌉ h ˆ β − ⌈ β ⌉ ( t, s ), β ∈ ( − ∞, − 1 ) ∖ Z, s, t ∈ T, t ≥ σ − ⌈ β ⌉ ( s ), where ⌈ β ⌉ is the ceiling function ⌈ β ⌉ = min { m ∈ Z ; m ≥ β }.

The main areas of update are the structural hot-spot stress concept, which allows now for an economic and coarser meshing in finite element analysis, the extension of the effective notch stress concept to welded aluminium structures and the numerical assessment of post weld treatments for improving the fatigue properties.

Section 4.2 presents an analysis on the extension of the relation between architectural problems and agglomerations.

Our analysis is the extension of the code diversity for the case of multi-user and multi-carrier systems   2.

A very important result in functional analysis about the extension of a linear functional dominated by a sublinear function defined on a real vector space was first presented by Hahn [1] and Banach [2], which is known as the Hahn-Banach extension theorem.

Moreover, we performed a sensitivity analysis on the extension of the hazard zone by varying the total mass between 1011 and 1012 kg, in agreement with the corresponding volume range proposed by Cioni et al. (2008) for the sub-Plinian (type I) eruptions.

This BLASTX analysis allows the extension of several TE features already identified.

Analysis of the extension of the paraMORC4 family showed that it is a TIR domain [ 12], which might alternatively also be encoded in a standalone form by a neighboring gene.

Obvious next steps in the analysis are the extension of the model to include cell death related pathways which incorporate the observed initiation of apoptosis, its inhibition and the resulting autophagic cell death [ 8, 14].

Conclusions Our analysis supports the extension of the screening interval for people with type 2 diabetes mellitus beyond the currently recommended 12 months, with the possible exception of those with diabetes duration of 10 years or more and on insulin treatment.