In this chapter we will review a number of fundamental facts on the topology of smooth complex projective varieties, and the Hodge decomposition of their singular cohomology with complex coefficients. We will then see them in action by proving the Kodaira Vanishing theorem, the invariance of Hodge numbers under deformations, and the birational invariance of certain Hodge numbers. Some basic ref...

objective: the aim of this study is to explore the confirmatory factor analysis results of the persian adaptation of abbreviated math anxiety scale (amas), proposed by hopko, mahadevan, bare & hunt. method: the validity and reliability assessments of the scale were performed on 298 college students chosen randomly from tabriz university in iran. the confirmatory factor analysis (cfa) was carrie...

this paper is concerned with global analysis of a delay sveir epidemiological model in a population of varying size. by using lyapunov stability method and lasalle’s invariance principle for delay systems, we prove that when there is no endemic equilibrium, the disease free equilibrium is globally asymptotically stable, otherwise the endemic equilibrium is globally stable.

optimal conditions are used in nondynamical formalism to diagonalize the pionproton reaction matrix as much as possible. invariance laws are imposed to simplify the relationship between observables and bilinear combination of amplitudes. transverse amplitudes are determined by using measured polarization parameter in xfp elastic scattering at 6.0 gevic

Abstract: The dual-mode strategy has been adopted in many constrained MPC (Model Predictive Control) methods. The size of stabilizable regions of states of MPC methods depends on the size of underlying feasible and positively invariant sets and the number of control moves. The results, however, may perhaps be conservative because the definition of positive invariance does not allow temporal dep...

Over the last decades, large international datasets such as the European Social Survey (ESS), the European Value Study (EVS) and the World Value Survey (WVS) have been collected to compare value means over multiple time points and across many countries. Yet analyzing comparative survey data requires the fulfillment of specific assumptions, i.e., that these values are comparable over time and ac...

Gauge invariance is the basis of the modern theory of electroweak and strong interactions (the so-called standard model). A number of authors have discussed the ideas and history of quantum guage theories, beginning with the 1920s, but the roots of gauge invariance go back to the year 1820 when electromagnetism was discovered and the first electrodynamic theory was proposed. We describe the 19t...

In a cross-cultural study, it is crucial to understand whether items and the factorial structure of a survey instrument are equivalent across different cultural groups, because items might mean differently to different population groups, and thus the factorial structure of the measurement instrument might not hold across groups. The purpose of this study was to investigate the measurement invar...