In this paper, I re-examine how the mean–variance analysis is consistent with its traditional theoretical foundations, namely, stochastic dominance and the expected utility theory. Then I propose a simplified version of the coarse utility theory as a new foundation. I prove that, by assuming risk aversion and the normality of asset variables, the simplified model is well behaved; indifference c...

Introduction(') Many problems in set theory and related domains are known which have the following features in common . Each of them can be formulated as the problem of determining all the infinite cardinals which have a given property P. It is known that the property P applies to all infinite cardinals which are not (strongly) inaccessible while it does not apply to the smallest inaccessible c...

One of the greatest challenges to be faced in the fight against climate change in the construction sector is the fact that (non-traditional) conventional solutions are routinely accepted despite their high environmental impact. In particular, reinforced or mass concrete foundations are used at almost all sites, but they require a large amount of material, involve high emissions (some toxic), ar...

Abstract The Great Mosque of Kufa, built in 639 CE and located Al-Kufa, Iraq, is considered one the most important mosques Islamic world. Because cracks appeared historical walls Al-Kufa during construction Muslim Bin Aqeel Underpass, values locations bending moment shear force may be useful for wall maintenance. So, this study aims to determine maximum minimum settlement, moment, forces under ...

Given the concept of reliability-based design (RBD) and the growing risk management trend in geotechnical engineering, proper understanding and quantification of uncertainties are very important. The complexity of methods and a large volume of calculations of probabilistic design methods are the most critical reasons for civil engineers not to be comfortable using these approaches. In this rese...

In this study, using the non-local elasticity theory, the buckling and vibration analysis of triple- walled ZnO piezoelectric Timoshenko beam on elastic Pasternak foundation is analytically investigated under magneto-electro-thermo-mechanical loadings. Using the Timoshenko beam free body diagram, the equilibrium equation of Timoshenko nano-beam model is obtained and solved by Navier’s method fo...

The Univalent Foundations of Mathematics (UF) provide not only an entirely non-Cantorian conception of the basic objects of mathematics (“homotopy types” instead of “sets”) but also a novel account of how foundations ought to relate to mathematical practice. In this paper, I intend to answer the question: In what way is UF a new foundation of mathematics? I will begin by connecting UF to a prag...