多项式微分系统的不变直线的不同斜率的最大个数

本文证明了公式β（ｎ）＝σ（ｎ－１）＋１其中α（ｎ－１）是ｎ－１次多项式微分系统的不为直线的最多条数，βｎ）是ｎ次多项式微分系统的不变直线的不同斜率的最大个数。这里假设所讨论的多项式系统只有限条不变直线。     

Archaeology: formulation of a Roman cosmetic

The discovery of a small tin canister in London during archaeological excavations of a Roman temple precinct, dated to the middle of the second century AD, is a landmark in the study of this class of artefact. Such discoveries from the Roman world are rare and this is the only one to be found so far with its lid and contents--a whitish medicinal or cosmetic cream--providing a unique opportunity for us to study the ancient formulation.     

Acrylamide is formed in the Maillard reaction

Reports of the presence of acrylamide in a range of fried and oven-cooked foods have caused worldwide concern because this compound has been classified as probably carcinogenic in humans. Here we show how acrylamide can be generated from food components during heat treatment as a result of the Maillard reaction between amino acids and reducing sugars. We find that asparagine, a major amino acid in potatoes and cereals, is a crucial participant in the production of acrylamide by this pathway.