奇次函数的极限不存在的判定方法

通过观察并利用罗必塔法则给出奇次函数的极限不存在的判定方法。     

齐次函数的极限不存在的判定方法

通过别尔曼两个习题，阐明二重极限与二次极限的不确定关系；又通过引例并利用罗必塔法则给出齐次函数的极限不存在的判定方法．     

High peak power density and low mechanical stress photonic-band-crystal diode laser array based on non-soldered packaging technology

A high peak power density and low mechanical stress photonic-band-crystal(PBC) diode laser array based on non-soldered packaging technology is demonstrated. The array consists of the PBC diode laser bars with small fast axis divergence angles. Meanwhile, we design the non-soldered array structure that realizes mechanical stacking of 10 bars in the vertical direction. In the experiment, the peak power density of the PBC array is about 1.75 times that of the conventional array when the same total ...     

微分中值定理的扩展与证明

1.对拉格朗日(Lagrange)中值定理和柯西(Cauchy)中值定理,从结论的几何意义出发,各列举几种不同几何意义的辅助函数证明定理。2.把拉格朗日中值定理所示的的平面曲线扩展到空间曲线的类似定理及其证明。3.给出拉格朗日中值定理中“ξ”的唯一性和连续性的充分条件,并加以证明。