Hierarchical structure is ubiquitous in data across many domains. There are many hierarchical clustering methods, frequently used by domain experts, which strive to discover this structure. However, most of these methods limit discoverable hierarchies to those with binary branching structure. This limitation, while computationally convenient, is often undesirable. In this paper we explore a Bay...

This paper is an introduction to rose links and some of their properties. We used a series of invariants to distinguish some rose links that are rotationally symmetric. We were able to distinguish all 3-component rose links and narrow the bounds on possible distinct 4 and 5-component rose links to between 2 and 8, and 2 and 16, respectively. An algorithm for drawing rose links and a table of ro...

The genus Rosa Linn. (Rosaceae) is widely distributed in the temperate parts of the northern hemisphere and on tropical mountains. About 20 species and hundreds of varieties have been recorded in India in wild state and many have been introduced for cultivation as ornamentals. Mostly hybrid varieties exhibit a marked fragrance and are suitable for the extraction of Rose water and Rose oil (atta...

Depression is one of the most common psychiatric disorders that may result in significant consequences in active population of the society. In traditional manuscripts there are many indications about the antidepressant effects of rose oil, but so far no scientific research has been done about this subject. The purpose of present study was to determine the antidepressant effects of rose oil and ...

We study the evolution of a one-dimensional pile, empty at rst, which receives a grain in its rst stack at each iteration. The nal position of grains is singular: grains are sorted according to their parity. They are sorted on trapezoidal areas alternating on both sides of a diagonal line of slope p 2. This is explained and proved by means of a local study. Each generated pile, encoded in heigh...