Roses

Free groups and roses

Consider the 2n symbols x1, . . . , xn, x−1 1 , . . . , x −1 n . Collect these into a set G. There is a map from G to itself which interchanges xi and x−1 i . This map is denoted by the usual inversion symbol g 7→ g−1. Thus x−1 i is unambiguous and (x −1 i ) −1 = xi. The empty word will be denoted by 1. A word is defined to be a finite ordered list of elements of G, depicted as exemplified by x...

Sarajevo Roses and Commemorative Plaques

Scent evolution in Chinese roses.

The phenolic methyl ether 3,5-dimethoxytoluene (DMT) is a major scent compound of many modern rose varieties, and its fragrance participates in the characteristic "tea scent" that gave their name to Tea and Hybrid Tea roses. Among wild roses, phenolic methyl ether (PME) biosynthesis is restricted to Chinese rose species, but the progenitors of modern roses included both European and Chinese spe...

The Roses of No Man's Land.

Rosa’s roses: Reduced vowels in American English

Beginning phonetics students are taught that American English has two contrasting reduced vowels, transcribed as [ ́] and [È], illustrated by the unstressed vowels in the minimal pair Rosa’s vs. roses. However little seems to be known about the precise nature or distribution of these vowels. This study explores these questions through acoustic analysis of reduced vowels in the speech of twelve A...