A Phenomenological Narrative Study: Elementary Charter Principals\u27 Role as an Instructional Leader

The National Alliance for Public Charter Schools (NAPCS) (2013) defined charter schools on the company website as independent public schools allowed freedom to be more innovative, while being held accountable for improved student achievement (p. l ). Although there might be differences in their structures depending on state charter school laws and agreement between their authorizers, charter schools have been shown to have more flexibility in their educational programs and management styles in comparison with traditional public schools

Completely monotonic ratios of basic and ordinary gamma functions

We investigate conditions for logarithmic complete monotonicity of product ratios of gamma and q-gamma functions whose arguments are linear functions of the variable. We give necessary and sufficient conditions in terms of nonnegativity of a certain explicitly written measure in the q case and of a certain elementary function in the classical q=1 case. In the latter case we further provide simple new sufficient conditions leading to many new examples of logarithmically completely monotonic gamma ratios. Finally, we apply some of our results to study monotonicity of some gamma ratios and rational functions.Comment: 23 pages; no figure

Effects of the FCNC couplings in production of new heavy quarks within Z' models at the LHC

We study the flavor changing neutral current couplings of new heavy quarks through the Z' models at the LHC. We calculate the cross sections for the signal and the corresponding standard model background processes. Considering the present limits on the mass of new heavy quarks and the Z' boson, we performed an analysis to investigate the parameter space (mixing and mass) through different Z' models. For an FCNC mixing parameter x=0.1 and the Z' mass M_{Z'}=2000 GeV, and new heavy quark mass m_{t'}=700 GeV at the LHC with \sqrt{s}=13 TeV, we find the cross section for single production of new heavy quarks associated with top quarks as 5.8 fb, 3.3 fb, 1.5 fb and 1.2 fb within the Z'_{\eta} , Z'_{\psi} , Z'_{LP} and Z'_{\chi} models, respectively. It is shown that the sensitivity would benefit from the flavor tagging.Comment: 17 pages, 18 figures, update. arXiv admin note: text overlap with arXiv:1003.315