In this paper we study lifted left invariant $(\alpha,\beta)$-metrics of Douglas type on tangent Lie groups. Let $G$ be a group equipped with $(\alpha,\beta)$-metric $F$, induced by Riemannian metric $g$. Using vertical and complete lifts, construct the $F^v$ $F^c$ $TG$ give necessary sufficient conditions for them to type. Then, flag curvature these metrics are studied. Finally, as some specia...

in this paper, the time-like hyperruled surfaces in the minkowski 4-space and their algebraicinvariants are worked. also some characteristic results are found about these algebraic invariants.

Online Capture The Flag (CTF) competitions are a popular means of engaging students with the world of cybersecurity. This paper reports on the use of a virtual machine (VM) framework that has been developed as part of cybersecurity courses offered to both second-year undergraduate and master’s degree students in the School of Computer Science at the University of Birmingham; the framework featu...

We present an approach for detecting multiword phrases in mathematical text corpora. The method used is based on characteristic features of mathematical terminology. It makes use of a software tool named Lingo which allows to identify words by means of previously defined dictionaries for specific word classes as adjectives, personal names or nouns. The detection of multiword groups is done algo...

‎let $m^n$ be an $n(ngeq 3)$-dimensional complete connected and‎ ‎oriented spacelike hypersurface in a de sitter space or an anti-de‎ ‎sitter space‎, ‎$s$ and $k$ be the squared norm of the second‎ ‎fundamental form and gauss-kronecker curvature of $m^n$‎. ‎if $s$ or‎ ‎$k$ is constant‎, ‎nonzero and $m^n$ has two distinct principal‎ ‎curvatures one of which is simple‎, ‎we obtain some‎ ‎charact...

The American flag is a frequently displayed national symbol in the United States. Given its high visibility and importance, the present research examines the consequences of exposure to the flag on Americans’ sense of national attachment. We hypothesized that the flag would increase patriotism, defined as love and commitment to one’s country, and nationalism, defined as a sense of superiority o...

Horn recursion is a term used to describe when non-vanishing products of Schubert classes in the cohomology of complex flag varieties are characterized by inequalities parameterized by similar non-vanishing products in the cohomology of “smaller” flag varieties. We consider the type A partial flag variety and find that its cohomology exhibits a Horn recursion on a certain deformation of the cup...

Have you ever considered preparing for an exam by doing physical exercise? Would it not be great to go outside and play capture the flag or double Dutch with your friends instead of doing math? Of course, you already know that this is wishful thinking. Everyone has to prepare carefully and learn attentively if they want to do better on their exams. However, it is also true that physical activit...

Herein we describe some properties and the occurrences of a beautiful geometric figure that is ubiquitous in chemistry and materials science, however, it is not as well-known as it should be. We call attention to the need for mathematicians to pay more attention to the richly structured natural world, and for materials scientists to learn a little more about mathematics. Our account is informal...