Eigenvalues and Approximation Numbers

While the spectral theory of compact operators is known to many, knowledge regarding the relationship between eigenvalues and approximation numbers might be less known. By examining these numbers in tandem, one may develop a link between eigenvalues and l^p spaces. In this paper, we develop the background of this connection with in-depth examples

How the Natural State Turned Red: Political Realignment in Arkansas

For years Arkansas voted for Republicans in blue. From post-Reconstruction to industrialization and civil rights, Arkansas maintained a conservative ideology while aligning itself with the Democratic Party. In the late 20th century, the South shifted to the right, but the Natural State stayed loyal to the left and its traditional voting tactics. It would not be until the 21st century that Arkansans would recognize that the national Democratic Party did not represent their views. By the 2014 midterm elections, Arkansas’s long time conservatism, newly developed industry and demographic changes coalesced into a partisan change. Arkansas embraced red

Fe, Zn AND S CONTENT IN DOUBLED HAPLOID LINES OF CHINESE SPRING × SQ1 WHEAT POPULATION

A mapping population of 95 doubled haploid lines of wheat Triticum aestivum L., raised by crosses between cultivar Chinese Spring (CS) and line SQ1, was grown in irrigated and rainfed conditions of South-East Kazakhstan (1998–2008 years), studied for grain quality traits, and characterized for Fe, Zn, and S content in grains. In addition to previous studies associated with grain productivity and drought stress torelance (Quarrie et al., 2005) and grain quality traits (Abugalieva et al., 2008), the range of variation in micronutrient contents in wheat grains of the CS × SQ1 doubled haploid population provides an excellent opportunity for identification of quantitative trait loci that control the amounts of Fe, Zn, and S in grains. Doubled haploid lines with stable high content of Fe and Zn grown in irrigated and rainfed conditions were obtained on the base of the referred work. The lines can be used in biofortification of spring wheat in Kazakhstan. The results reveal significant correlation indices between Zn and protein contents in grains. They may be important in local breeding programs for the improvement of productivity and grain quality