Sentence examples for mathematical analysis one from inspiring English sources

Note that using mathematical analysis one can find optimal numbers of positive chambers for each ratio which give smallest confidence intervals and which will therefore improve the results.

Dr. Yochai Benkler of the New York University Law School said the analysis was important, because instead of starting from some theory about the politics of the court, Dr. Sirovich had used a purely mathematical analysis, yet one whose results fit with common sense observation.

Based on the Sholl analysis, one mathematical method that gives a measure of the neurite arborization is the Schoenen ramification index (SRI): the ratio between the maximum number of the intersections of the neurites with the circles and the number of the primary neurites.

Here again results show superiority of the logarithmic algorithm and illustrate how our one dimensional mathematical analysis has direct applicability to clinical two dimensional hardware systems.

Firstly, based on control indexes of volatility and forecast error of wind power, Fourier mathematical analysis is used to design one-order low pass filter to smooth the curve of auto-regression ultra-short-term prediction of wind power.

Assuming continuous dependence of the solution on data - a property which can be inferred via a mathematical analysis not much different to the one performed in the Appendix - it is found that such an increase can be obtained acting on (i) scleral biophysical parameters and then on choroidal and retinal ones; (ii) active pumping.

His research focuses on mathematical analysis, linear algebra and PDEs.

A major characteristic of the proposed mathematical analysis requires less state variables than the one proposed in [10].

Large pieces of analysis, geometry, physics, and inequality theories are used in this paper, especially the mathematical analysis, and the series [17] is the crucial one.

Continuous functions are the most basic and widely studied class of functions in mathematical analysis, as well as the most commonly occurring ones in physical situations.

The research of Becker-Stark's inequality is one of the active areas in mathematical analysis [1 8].