In recent decades, by exploiting the algebraic properties of the Frobenius in positive characteristic, many so-called homological conjectures and intersection conjectures have been established, culminating into the powerful theory of tight closure and big Cohen–Macaulay algebras. In the present article, I give a survey of how these methods also can be applied directly in characteristic zero by ...

Internet search has become the most common way that people deal with issues and problems in everyday life. The wide use of Internet search has largely changed the way people search for and store information. There is a growing interest in the impact of Internet search on users' affect, cognition, and behavior. Thus, it is essential to develop a tool to measure the changes in psychological chara...

To date, fMRI research has been concerned primarily with evincing generic principles of brain function through averaging data from multiple subjects. Given rapid developments in both hardware and analysis tools, the field is now poised to study fMRI-derived measures in individual subjects, and to relate these to psychological traits or genetic variations. We discuss issues of validity, reliabil...

a tiling of a surface is a decomposition of the surface into pieces, i.e. tiles, which cover it without gaps or overlaps. in this paper some special polygonal tiling of sphere, ellipsoid, cylinder, and torus as the most abundant shapes of fullerenes are investigated.

European red mites are the most frequent mite in Uzbekistan apple orchards, and they may be found from early spring through harvest. The orange-colored adults of twospotted spider overwinter beneath bark trees or on weeds. In spring, populations typically cluster tree nearby areas broadleaf weeds, brambles, sucker growth. Damage. Twospotted induce bronzing leaves. Spider leave a characteristic ...

Non-destructive testing (NDT) is an important area of research, dealing with diagnostic and monitoring the health of structures and structural components and preventing catastrophic failures. One of the recently developed NDT techniques is the method of strain energy mode shapes that allows the determination of changes in structural integrity from changes in the vibrational response of a struct...

Abstract Metallic materials exhibit pronounced strain localization during damage and failure, posing a challenge in mechanics when predicting the change size of zone. In this study, uniaxial tensile tests were carried out to observe changes zone loading aluminum low-carbon steel. The initial final states two metallic deformation compared. shrank gradually with increase load, which agrees existi...