In this section, we use an unified method based on two lemmas (Lemmas 5.1 and 5.2 below) to establish three new refinements of the Erdös-Mordell inequality, which also cover the sides, the altitudes, and the medians of the triangle (ABC) besides the above six segments.
In this study, the methane production potential of 20 kinds of typical leafy vegetable residues in China were explored using a unified method.
In this study, based on sequence data accumulated to date, we used a unified method consisting of similarity search and phylogenetic analysis to detect horizontally transferred genes (HTGs) between prokaryotes and five insect species including Drosophila melanogaster, Anopheles gambiae, Bombyx mori, Tribolium castaneum and Apis mellifera.
They use a unified central theme: "Doing the Most Good".
Third, we use a unified probabilistic model for different types of network alignment (deterministic, part probabilistic, and complete probabilistic), unlike other alignments which use different methods for different types of networks.
Nevertheless, it is difficult to parameterize complex vehicle configurations using a unified CST method.
We have used a unified DIC method due to equal number of parameters, but AIC and BIC should be used if two models have differing numbers of parameters.
By analyzing the principles of the MC algorithm, as well as the features of the specific application, improvements were developed to: eliminate ambiguities by using a unified isosurface constructing method in the voxels, and improve the operating efficiency of the MC algorithm by incorporating an octree structure.
It is interesting to explore a unified method that can be used to find lower and upper bounds for the sequence ({frac{z_{n+1}}{z_{n}}}_{ngeq0}), where ({z_{n}}_{ngeq0}) is a sequence satisfying a four-term recurrence.
