In this paper, we propose a method on how to manage the convergence of Newton's method if its iteration process encounters a local extremum. This idea establishes the osculating circle at a local extremum. It then uses the radius of the osculating circle also known as the radius of the ...
Homework Statement Determine the radius of convergence of the given power serie . Ʃ(x^(2n))/n! n goes from 0 to infinity Homework Equations...
Device for detecting electro-magnetically the level of a material which is conductive, or made conductive, particularly molten glass. The device comprises ... BB Nicolazo De,G Mehlman,P Roux,... 被引量: 0发表: 2005年 Determining radius of convergence of Newton's method using radius of curva...
This results in a signif i cant improvement inthe quality of the Taylor approximation. We observe improvements inthe accuracy of the approximation of many orders of magnitude, in-cluding a case when the independent variable x lies beyond the relevantradius of convergence.Key words: Taylor, ...
In order to derive the relationship between FROA and the effective concentration of reacting species, we developed a simple model on the growth rate. Suppose that a reacting species is adsorbed at r, a distance from the center of a particular circular hole with its radius of to contribute to...
6 Identification of MROs with a 1-Å radius cut-off. a, Histogram of the four types of MRO—fcc- (blue), hcp- (red), bcc- (green) and sc-like (purple)—as a function of size (that is, the number of solute centres). b, Population of the solute-centre atoms for the four ...
The characteristics which are critical to the success of implementation are accuracy, rate of convergence, numerical stability and efficiency. Numerical algorithms must review the factors such as, determination of the correctness of various steps, reduction of the number of steps, if necessary, and ...
pulsar polarimetry (typically GHz)31. Sinceωlcdecreases asr/r⊙withr⊙the neutron star radius as the wave propagates upward in the magnetosphere, the orderingωlc < ωholds throughout the magnetosphere, which implies that MOR should be present in a large fraction of pulsar polarisation ...
Nanoindentation tests are conducted using a Berkovich diamond indenter with a radius of 200 nm. A 6 × 6 indentation matrices are conducted on each individual sample. All the indents are located in the middle of the sample and far away from the edge of the sample in order to ...
The initial values for borehole radius are obtained from a caliper log. The solution requires a recalculation of the matrix during convergance and thus a large memory and is described as slow when applied to data for large depth ranges as are typically encountered in borehole logging. In an...