几个改进的矩阵不等式（英文）

本文研究了矩阵不等式的问题.利用两个新的标量不等式,得到了矩阵的加权几何均值不等式和Hilbert-Schmidt范数不等式,所得的结果改进了相应的不等式.     

几个酉不变范数不等式（英文）

利用函数的凸性,得到矩阵酉不变范数的几个不等式.所得不等式改进了一些已有的结果.     

Sub-picosecond chirped laser pulse-induced airflow and water condensation in a cloud chamber

Sub-picosecond chirped laser pulse-induced airflow and water condensation were investigated in a cloud chamber.The results indicate that the positively chirped sub-picosecond laser pulses generate a more uniform intensity distribution inside the plasma column, leading to a weaker airflow and an elliptic-shaped snow pile. The negatively chirped sub-picosecond laser pulses generate a spark-like intensity distribution inside the plasma column, which produces a wider range of airflow and a round snow pile. The amount of snow weight and the concentration of NO_3~- are found to be dependent on the intensity distribution inside the plasma column. The visibly stronger plasma column generates much more snow and a higher concentration of NO_3~-. These experimental results provide a reference for sub-picosecond laser-induced water condensation in realistic atmospheric conditions.