At one of their meetings, Klein challenged the group to solve a complex problem in planar geometry. Klein proposed that the group consider five points on a flat surface, where no three of the five formed a straight line. It was obvious to all that when four of the points were joined, they formed a quadrilateral, but Klein also noticed that given five points, four of them always appeared to defi...

Policy choices in the wake of recent mass protests in Egypt will determine the likelihood of civil war in the short run and the prospects for democracy in the long run. Economic conditions can be improved by international action to reduce grain-based biofuel production and finance employment generation. Creating the conditions for stable democracy requires accepting power-sharing mechanisms in ...

We present a new mechanism for baryogenesis, which links the baryon asymmetry of the universe to the dark matter density. The mechanism arises naturally in the Pentagon model of TeV scale physics. In that context, it forces a re-evaluation of some of the assumptions of the model, and we detail the changes that are required in order to fit observations.

Tujuan dari penelitian ini adalah untuk menganalisis faktor risiko penipuan pada pelaksanaan kecurangan pelaporan keuangan berdasarkan tentang teori pentagon. Populasi perusahaan manufaktur yang terdaftar di Bursa Efek Indonesia (BEI) periode 2014-2016. Sampel diambil dengan purposive sampling. Data analisis menggunakan regresi logistik. Hasilnya menunjukkan bahwa perubahan direktur mempengaruh...

"Pentagon Prepares a Futures Market on Terror Attacks" blared the headline in the New York Times above an article on the Pentagon's "policy analysis market" (PAM) project. The Pentagon intended to employ a "virtual stock market" — for the aggregation of information and derivation of forecasts — to help predict foreign-policy events such as a coup d'état in a particular country or terrorist atta...

Pentagon–hexagon-patches are connected bridgeless plane graphs with all bounded faces pentagons or hexagons, all interior vertices of degree 3 and all boundary vertices of degree 2 or 3. In this paper we determine the minimum and maximum possible boundary lengths min (h, p) and max (h, p) of pentagon–hexagon-patches with h hexagons and p ≤ 6 pentagons and determine which intermediate values can...

Harborth [Elemente der Mathematik, Vol. 33 (5), 116–118, 1978] proved that every set of 10 points in the plane, no three on a line, contains an empty convex pentagon. From this it follows that the number of disjoint empty convex pentagons in any set of n points in the plane is least ⌊ n 10 ⌋. In this paper we prove that every set of 19 points in the plane, no three on a line, contains two disjo...

preprint numerics no. 2/2007 norwegian university of science and technology trondheim, norway The 'pseudo-harmonic' extension is an approximation to the common harmonic extension for extending a function over a domain based on its trace along the boundary of the domain. On a circle the two extension methods produce identical results. We present explicit formulas for the computation of distance ...

The terrorist attacks on the World Trade Center and the Pentagon have changed the world as we knew it. Although there is clearly an immediate need for reconstruction of Lower Manhattan, it is too early to predict what all of the implications on the construction industry nationwide will be. Yet, the very real terrorist threats we have to learn to live with will have repercussions on the types of...