摘要:对两个正数的指数平均和对数平均进行了推广,得到了n个正数的指数平均和对数平均.给出了n个正数的算术--指数--对数--几何平均不等式%In this paper,identric mean and logarithmic mean of n nonnegative number are defined.and the inequalities G≤L≤I≤A in n variables are given,where,G is geometric mean and L is logarithmic mean and I is identric mean and A is arithmetic mean of n variables.
摘要:The system of an atom interacting with a standing electrimagnetic wave is very complicated .In this paper,we studied the system of a two-level atom interacting with a standing electromagnetic wave ,and work out the wave functions,the energy values and the momentum values of the atom.%原子与光场相互作用系统是很难求解的,通过对二能级原子与驻波光场相互作用系统进行求解,在光场强度较弱的情况下,得出了二能级原子与驻波光场相互作用系统的波函数、能量的可能取值、二能级原子质心动量的可能取量.
摘要:Let 0<r<m<n and H be a fixed m-flat in the affine space AG(n,Ifq).Take the r-falts comtained in H as the source states,the points of AG(n,Ifq) which are not contained in H as the encoding rules,and the (r+1)-flats which intersect H at an r-flat as the messages.Given a source state Pand an encoding rule x,the join Pux is be proved to be the message into which the source state P is encoded under the encoding rule x,We get a Cartesian autyentication code,and compute the paramrters of the code.Assume that encoding code,and chosen according to a uniform probability distribution,the probabilities,PI and PS of a successful impersonation attack and a successful substitution attack,respectively,of the code is also computed.%设0<r<m<n,而H是仿射空间AG(n,IFq)中一个取定的m-面,取包含在H中的r-面作为信源,不包含在H中的点作为编码规则,与H相交于一个r-面的(r+1)-面作为信息,给定一个信源P和一个编码规则x,则联P∪x被证明是信源P在编码规则x之下被变成的信息,得到一个Cartesian认证码,并且计算了这个码的参数.假设编码规则按照一种均匀概率分布被选取,则成功的模仿攻击概率PI和成功的替换攻击概率PS也被计算.