It was proved that a blow-up solution to the mean curvature flow with positive mean curvature is an ancient convex solution, that is a convex solution which exists for time t from −∞. In this paper we study the geometry of ancient convex solutions. Our main results are contained in Theorems 1-3 below. Theorem 1 asserts that after normalization, the solution converges to a sphere or cylinder as ...

The access to water and the engineered landscapes accommodating its collection and allocation are pivotal issues for assessing sustainability. Recent mapping, sediment coring, and formal excavation at Tikal, Guatemala, have markedly expanded our understanding of ancient Maya water and land use. Among the landscape and engineering feats identified are the largest ancient dam identified in the Ma...

In the ancient Egypt seven goddesses, represented by seven cows, composed the celestial herd that provides the nourishment to her worshippers. This herd is observed in the sky as a group of stars, the Pleiades, close to Aldebaran, the main star in the Taurus constellation. For many ancient populations, Pleiades were relevant stars and their rising was marked as a special time of the year. In th...

A simple and effective modified ethanol precipitation-based protocol is described for the preparation of DNA from ancient human bones. This method is fast and requires neither hazardous chemicals nor special devices. After the powdering and incubating of the bone samples Dextran Blue was added as a carrier for removing the PCR inhibitors with selective ethanol precipitation. This method could e...

in this paper the practice of medicine in ancient iran is studied. mythology of ancient iran has many references to how diseases were treated and medicine dispensed. there is even a mention of surgery; presumably the rst caesarian section in the history of medicine is performed for the birth of mythological persian hero, rostam. this study looks at mythology, ancient persian religious texts an...

Purpose: This paper provides an overview of the development of a computer system designed to aid historians in the reading of the stylus tablets from the Roman fort of Vindolanda. The different stages in developing the system are outlined, and preliminary results given. Methodology/Approach: Literature review regarding Vindolanda, stylus tablets, and the process of reading an ancient document. ...

In this paper, we are discussing the effect of the use of magnetic compasses on the orientation of ancient Chinese architectonical complexes. As Czech researchers proposed in 2011, assuming these complexes ideally oriented by the ancient architects along north-south direction, in the case that the surveys were made by means of magnetic compasses, we can find the axes of the complexes deviating ...

myths are reflective of human concerns and needs during ancient times. by reviewing them, it turns out that many human problems today, have a historical background. among the main themes of ancient mythologies, fertility and reproduction have various representations in ancient civilizations. the purpose of this paper was to review myths and common symbols of fertility and reproduction in ancien...

Honey an ancient remedy "rediscovered" The usage of honey as a medicine is referred to in the most ancient written records, it being prescribed by the physicians of many ancient races of people for a wide variety of ailments (Ransome 1937). It has continued to be used in folk medicine ever since, but in recent times there has been a renaissance of the use of honey in the medical profession: an ...