Dimension is a standard and well-studied measure of complexity of posets. Recent research has provided many new upper bounds on the dimension for various structurally restricted classes of posets. Bounded dimension gives a succinct representation of the poset, admitting constant response time for queries of the form “is x < y?”. This application motivates looking for stronger notions of dimensi...

The validation of models for skills assessment is often conducted by using simulated students because their skills mastery can be predefined. Student performance data is generated according to the predefined skills and models are trained over this data. The accuracy of model skill predictions can thereafter be verified by comparing the predefined skills with the predicted ones. We investigate t...

linear dynamic response of simply supported nanobeams subjected to a variable axial force is assessed by galerkin numerical approach. constitutive behavior is described by three functional forms of elastic energy densities enclosing nonlocal and strain gradient effects and their combination. linear stationary dynamics of nanobeams is modulated by an axial force which controls the global stiffne...

Anonymous polls nowadays rely solely on centralization, which means that respondents should trust the owner's company not to share responses or look through all submitted answers. However, there is a concept of randomized response trades need for with some error. In this paper, classical forced protocol extended by using an arbitrary random variable. We try optimize tradeoff between accuracy an...

With a year and half into the COVID-19 pandemic, still, variance in terms of transmission susceptibility different populations/ethnicities to disease remains an enigma. The clinical outcome is poor patients with associated morbidities; however, reasons behind significant mortality immuno