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As indicated in the passage above, Descartes establishes in Book Two that Pappus curves fall into the specified classes of geometric curves he has designated, where the class into which a Pappus curve falls depends on the number of lines given in the problem and thus, on the degree of the equation to which the problem is reduced.
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Regression analysis was performed to determine the relationships between each of the characteristic values of slip and t e. Linear regression analysis of 12 measurements collected at the characteristic points tested in this study yielded the best-fit line given in Eq. (6): s_{1} = 0.0086 cdot t_{e} + 6.203, (6a) s_{2} = 0.014 cdot t_{e} + 12.983, (6b) s_{3} = 0.0104 cdot t_{e} + 17.417.
end{aligned} (5.7) (iii) The Jost functions (theta _1,theta _2) extend easily from ([0,infty )) to ({mathbb {R}}). This follows from the existence proof of Jost solutions on the half-line given in e.g. [7, Sect. 4.1], and ensures that (5.2) makes sense.
Radiation survival curves for the four colorectal cancer cell lines are shown in Figure 1, with the SF2 value (fraction of cells surviving exposure to 2 Gy) for each cell line given in Table 1 > -wrap-foot>.
Time line is given in million of years.
Comparison of both cell lines showed that the PK15Sn-CD163 celineine gave in general better results than the CHOSn-CD163 cell line.
One of the skills to be acquired with grey hairs is the ability to dress in an interesting way, toeing the line between giving in totally to tatty slippers and cardigans and trying too hard with unsuitably youthful styles.
This is tricky - because there is a fine line between giving in to your child's anxiety versus being aware of when your child has reached their limit.
Government-funded researchers are reluctant to use these lines given the difficulties in accounting for federal and non-federal funds.
It thus would be of interest to investigate the occurrence of apoplastic xyloglucan oligosaccharides in our transformed lines, given the modifications observed in the xyloglucan fraction.
Up to seven lines of cytotoxic chemotherapy (median: two lines) were given in 185 patients (84.8%) after diagnosis of CNS metastasis.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com