English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

The methods for determination of the characteristics of the extrema arediscussed with an application to irregularly spaced data, which arecharacteristic for photometrical observations of variable stars. We introducenew special functions, which were named as the "Wall-Supported Polynomial"(WSP) of different orders. It is a parabola (WSP), constant line (WSL) or an"asymptotic" parabola (WSAP) with "walls" corresponding to more inclineddescending and ascending branches of the light curve. As the interval is splitgenerally into 3 parts, the approximations may be classified as a"non-polynomial spline". These approximations extend a parabolic/linear fit byadding the "walls" with a shape, which asymptotically corresponds to thebrightness variations near phases of the inner contact. The fits are comparedto that proposed by Andronov (2010, 2012) and Mikulasek (2015) and modified forthe case of data near the bottom of eclipses instead of wider intervals of thelight curve. The WSL method is preferred for total eclipses showing abrightness standstill. The WSP and WSAP may be generally recommended in a caseof transit eclipses, especially by exoplanets. Other two methods, as well asthe symmetrical polynomials of statistically optimal order, may be recommendedin a general case of non-total eclipses. The method was illustrated byapplication to observations of a newly discovered eclipsing binary GSC3692-00624 = 2MASS J01560160+5744488, for which the WSL method provides 12times better accuracy.

Statistically Optimal Modeling of Flat Eclipses and Exoplanet Transitions. The "Wall-Supported Polynomial" (WSP) Algoritms