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(Chou 1987) proves over 500 geometry theorems using the algebraic approach offered by Wu's method and the Gröbner basis method by representing hypotheses and conclusions as polynomial equations.
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We extend these methods by representing cancers as a mixture of those that progress to symptoms (progressive) and those that remain latent (indolent).
The method works by representing both visual search documents (such as the video shots in the search corpus) and semantic query inputs (such as the text keywords contained in the search topic) in a semantic space of 374 concepts.
Typical HMM-based methods work by representing an MSA as a form of directed acyclic graph known as a partial-order graph, which consists of a series of nodes representing possible entries in the columns of an MSA.
The performance of the proposed method is validated by representing the simulation results and experimental lab results.
In particular the assumptions made in standard methods about the solution behavior by representing its derivatives fail in points where the transport changes abruptly.
From the results of the simulations, we can observe that the structures of the coastline echoes generated by improved fractal algorithms, especially by fractional Brownian motion algorithm, outperform the echoes generated by conventional method in representing a natural coastline feature.
By default, the P value adjustment method selected was the "BY" option representing the "Benjamini, Hochberg, and Yekutieli" method.
In summary, via visual inspection, we can observe that the structures of the coastline echoes generated by fractal algorithms (Fig. 9 b, c,) outperform the echo generated by conventional method in representing a natural coastline feature (Fig. 9 a).
Our method of representing a molecule by the GMM can be applied to other fields, such as docking and molecular shape comparison.
sVOI represents sVOI method by observer 1, tVOI represents the 42 % level of the tVOI method and aVOI represents the CT-based volumes in the aVOI method.
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