Sentence examples for general refinement of from inspiring English sources
In the Augustan Age (43 bc to ad 18), the influence of the neōteroi can be discerned particularly in the pastoral idylls of Virgil and the elegies of Sextus Propertius and Tibullus and in a general refinement of works of the didactic-patriotic tradition.
In this paper, in the form of (1.2) and (1.3) we shall show a general refinement of the Becker-Stark inequalities as follows.
In this paper, we establish a general refinement of the Becker-Stark inequalities by using the power series expansion of the tangent function via Bernoulli numbers and the property of a function involving Riemann's zeta one.
Zhu and Hua [7] established a general refinement of the Becker-Stark inequalities by using the power series expansion of the tangent function via Bernoulli numbers and the property of a function involving Riemann's zeta one.
Later, Zhu and Hua [6] gave a general refinement of the Becker-Stark inequalities (1.4) by the power series expansion of the tangent function in terms of the Bernoulli numbers.
The EMVC method can also be used for the general refinement of gene set collections, either to create versions of a gene set collection that are customized for a specific domain or to identify and entirely remove annotations that exhibit poor alignment with a broad selection of genomic datasets.
The result of Theorem 4.1 prompts us to consider the following general refinements of the Erdös-Mordell inequality in the form: sum R_{1}gefrac{2sum k_{1}(r_{1}+R_{1})}{sum k_{1}}ge2sum r_{1}, (5.1) where (k_{1}), (k_{2}), (k_{3}) are positive real numbers.
It is feasible to include the MNA-SF and a nutrition resource kit within routine general practice, but further refinement of patients' electronic clinical records in general practice software would streamline this process.
These new methods and tools in IMG, can be used to address important biological questions such as the identification of orthologs within large paralogous families and evolution of genome structure as well as function prediction of hypothetical protein families, or refinement of general function descriptions [8].
Further phylogenetic and phylogeographic studies of diurnal raptors, as well as other groups representing varying degrees of vagility and occurrence in habitats other than forests, will permit more explicit tests of the role of alternative modes of speciation acting on Neotropical birds, and refinement of general explanations for the origin and maintenance of Neotropical biodiversity.
An important question arises from this latter situation: Under what general conditions, (3.16) is a refinement of (3.15), that is, m 3 < R ( m 1, m 3, m 2 ) and R ( m 1, m 4, m 2 ) < m 4 ?
