Using the principle of analytical geometry, several properties of the space straight lille are proved. Based on these properties, the equilibrium of general space force system is considered and its four new scalar-typ...Using the principle of analytical geometry, several properties of the space straight lille are proved. Based on these properties, the equilibrium of general space force system is considered and its four new scalar-type equilibrium equations are derived which are equivalent to the vector-type necessary and sufficient conditions far equilibrium.展开更多
This paper studies phantom linear scalar field （LSF） and phantom non-linear Born-Infeld （NLBI） scalar field with square potential of the form V（Ф） =1/2m^2Ф^2. The equation of state parameter w（z）, and evolut...This paper studies phantom linear scalar field （LSF） and phantom non-linear Born-Infeld （NLBI） scalar field with square potential of the form V（Ф） =1/2m^2Ф^2. The equation of state parameter w（z）, and evolution of scale factor a（t） in both phantom LSF and phantom NLBI scalar model are explored. The age of universe Hot and the transition redshift Z are obtained. The Gold data set of 157-SN-Ia is used to constrain parameters of the two models by numerical calculation. The phantom LSF is slightly better than the phantom NLBI type scalar field model for a large m. Although a smaller m corresponding to a slower rolling of field Ф better fits the observation data, the difference between phantom NLBI scalar field and phantom LSF is not distinct in this case.展开更多
The Bianchi type-IX cosmological model with variable ω has been studied in the scalar tensor theory of gravitation proposed by Saez and Ballester [Phys. Lett. A 113: 467, 1985] in the presence and absence of magnetic...The Bianchi type-IX cosmological model with variable ω has been studied in the scalar tensor theory of gravitation proposed by Saez and Ballester [Phys. Lett. A 113: 467, 1985] in the presence and absence of magnetic field of energy densityρb. A special law of variation of Hubble’s parameter proposed by Berman [Nuovo Cimento 74 B, 182, 1983] has been used to solve the field equations. The physical and kinematical properties of the model are also discussed.展开更多
提出了一种新的椭圆曲线快速安全的标量乘算法。利用佩尔序列前后项分割比产生新的佩尔型点加-倍点链(Pell Type Double-and-Add Chain,PTDAC),其循环固定的"倍点-点加"操作可天然抵抗简单能量分析(Simple Power Analysis,SPA...提出了一种新的椭圆曲线快速安全的标量乘算法。利用佩尔序列前后项分割比产生新的佩尔型点加-倍点链(Pell Type Double-and-Add Chain,PTDAC),其循环固定的"倍点-点加"操作可天然抵抗简单能量分析(Simple Power Analysis,SPA)攻击。PTDAC算法结合Edwards椭圆曲线可从底层域减少运算时间,进一步优化算法。经过理论分析和仿真实验表明,PTDAC算法在最优情况下比EAC-270和GRAC-258算法在时间效率上分别提高了2.6%和22.8%。展开更多
Field equations in the presence of perfect fluid distribution are obtained in a scalar tensor theory of gravitation proposed by Brans and Dicke[1] with the aid of Bianchi type-II, VIII & IX metrics. Exact prefect ...Field equations in the presence of perfect fluid distribution are obtained in a scalar tensor theory of gravitation proposed by Brans and Dicke[1] with the aid of Bianchi type-II, VIII & IX metrics. Exact prefect fluid Bianchi type- IX cosmological model is presented since other models doesn’t exist in Brans-Dicke scalar tensor theory of gravitation. Some physical properties of the model are also discussed.展开更多
本文研究一类具纯离散谱的非自伴算子,证明了该类算子在弱拓扑意义下可以特征展开的充分必要条件是该类算子是u-标的(u-scalar),又等价于该类算子拟仿射相似于自伴算子.并给出例子,说明其在弱拓扑意义下可以特征展开,但不属于经典的标...本文研究一类具纯离散谱的非自伴算子,证明了该类算子在弱拓扑意义下可以特征展开的充分必要条件是该类算子是u-标的(u-scalar),又等价于该类算子拟仿射相似于自伴算子.并给出例子,说明其在弱拓扑意义下可以特征展开,但不属于经典的标型谱算子(Spectral operator of scalar type).展开更多
文摘Using the principle of analytical geometry, several properties of the space straight lille are proved. Based on these properties, the equilibrium of general space force system is considered and its four new scalar-type equilibrium equations are derived which are equivalent to the vector-type necessary and sufficient conditions far equilibrium.
基金Project supported by the National Natural Science Foundation of China （Grant Nos.10573012, 10575068）, and the Shanghai Municipal Science and Technology Commission （Grant No.04dz05905）
文摘This paper studies phantom linear scalar field （LSF） and phantom non-linear Born-Infeld （NLBI） scalar field with square potential of the form V（Ф） =1/2m^2Ф^2. The equation of state parameter w（z）, and evolution of scale factor a（t） in both phantom LSF and phantom NLBI scalar model are explored. The age of universe Hot and the transition redshift Z are obtained. The Gold data set of 157-SN-Ia is used to constrain parameters of the two models by numerical calculation. The phantom LSF is slightly better than the phantom NLBI type scalar field model for a large m. Although a smaller m corresponding to a slower rolling of field Ф better fits the observation data, the difference between phantom NLBI scalar field and phantom LSF is not distinct in this case.
文摘The Bianchi type-IX cosmological model with variable ω has been studied in the scalar tensor theory of gravitation proposed by Saez and Ballester [Phys. Lett. A 113: 467, 1985] in the presence and absence of magnetic field of energy densityρb. A special law of variation of Hubble’s parameter proposed by Berman [Nuovo Cimento 74 B, 182, 1983] has been used to solve the field equations. The physical and kinematical properties of the model are also discussed.
文摘提出了一种新的椭圆曲线快速安全的标量乘算法。利用佩尔序列前后项分割比产生新的佩尔型点加-倍点链(Pell Type Double-and-Add Chain,PTDAC),其循环固定的"倍点-点加"操作可天然抵抗简单能量分析(Simple Power Analysis,SPA)攻击。PTDAC算法结合Edwards椭圆曲线可从底层域减少运算时间,进一步优化算法。经过理论分析和仿真实验表明,PTDAC算法在最优情况下比EAC-270和GRAC-258算法在时间效率上分别提高了2.6%和22.8%。
文摘Field equations in the presence of perfect fluid distribution are obtained in a scalar tensor theory of gravitation proposed by Brans and Dicke[1] with the aid of Bianchi type-II, VIII & IX metrics. Exact prefect fluid Bianchi type- IX cosmological model is presented since other models doesn’t exist in Brans-Dicke scalar tensor theory of gravitation. Some physical properties of the model are also discussed.
文摘本文研究一类具纯离散谱的非自伴算子,证明了该类算子在弱拓扑意义下可以特征展开的充分必要条件是该类算子是u-标的(u-scalar),又等价于该类算子拟仿射相似于自伴算子.并给出例子,说明其在弱拓扑意义下可以特征展开,但不属于经典的标型谱算子(Spectral operator of scalar type).
