A relation between the coefficients of Legendre expansions of two-dimensional function and those for the derived function is given. With this relation the normic inequality of two-dimensional viscosity operator is obtained.

The highest qubit Ardehali inequality violation with 203 standard deviations is first experimentally demonstrated using the hyper-entangled four-photon-eight-qubit Greenberger-Horne-Zeilinger (GHZ) state. Moreover, we experimentally investigate the robustness of the Ardehali inequality for the four-, six-, and eight-qubit GHZ states in a rotary noisy environment systematically. Our results firs...

Using General Social Survey data from 1972 to 2008, we found that Americans were on average happier in the years with less national income inequality than in the years with more national income inequality. We further demonstrated that this inverse relation between income inequality and happiness was explained by perceived fairness and general trust. That is, Americans trusted other people less ...

Abstract: Inequity aversion and reciprocity have been identified as two primary motivations underlying human decision making. However, because income and wealth inequality exist to some degree in all societies, these two key motivations can point to different decisions. In particular, when a beneficiary is less wealthy than a benefactor, a reciprocal action can lead to greater inequality. In th...

extended abstract 1.introduction relationship pattern has a complex, combinational and also intelligible nature in the current geopolitical structure of the world. civilizations’ relations together and civilization interactions include: engagement, competition and conflict in a range of geopolitical treatment pattern. some of spatial values which originated challenges among region country have ...

OBJECTIVE To analyze economic inequality (absolute and relative) due to family income in relation to the occurrence of preterm births in Southern Brazil. METHODS Four birth cohort studies were conducted in the years 1982, 1993, 2004, and 2011. The main exposure was monthly family income and the primary outcome was preterm birth. The inequalities were calculated using the slope index of inequa...

In 2012, W. T. Sulaiman presented new kinds of Hardy’s integral inequalities. In this paper, we derive some new extensions of the famous Hardy’s integral inequality. The results present direct generalization of the original Hardy inequality. In addition, the corresponding reverse relation is also obtained.

BACKGROUND It has been hypothesized that areas with an unequal income distribution are less likely to invest in health and more likely to have a social environment that influences the development of ischaemic heart disease (IHD) METHODS: We used pooled data from two cohort studies conducted in Copenhagen to analyse the association between area income inequality and first admission to hospital o...

In this paper, by using the way of weight function and real analysis techniques, a new integral inequality with some parameters and a best constant factor is given, which is a relation to Hilbert’s integral inequality and some base Hilbert-type integral inequalities. The equivalent form and the reverse forms are considered.

The inequality square root J <or=m is proved for vacuum, asymptotically flat, maximal, and axisymmetric data close to extreme Kerr data. The physical significance of this inequality and its relation to the standard picture of the gravitational collapse are discussed.