平方

If we recognize the inverse square law being an optimal controller presented by nature, what is the corresponding actionfor it?

倘若我们假定平方反比定律为大自然的最佳控制手段，试问其对应的行动能量为何？

In 1785 Coulomb had found a similar inverse square law relationship of repulsion between two pith balls carrying equal electrical charges.

在1785年库仑已经找到两颗喷射球之间带有相等的电荷，之间关系为逆平方关系。

It was found that the practical value of the relative intensity of ultraviolet radiation in the radiation distance of 50 to 100 cm was conincident with theoretical one calculated by the square inverse ratio law.

结果：照射距离为50～100cm时紫外线照射相对强度的实测值与以平方反比定律计算的理论值相符，25cm时实测值远小于理论值。

By using Pontryagin minimal principle to minimize the action, a partial differential equation for the Lagrangian is obtained and solved. For this action, it can be verified directly that the inverse square law is the corresponding optimal controller. Finally, the generalization of this mechanization is presented for more complicated dynamical systems.

此一方程的解虽有无限多组，然其中一组的解为该系统的行动能量是总能量，所显示的物理意义为大自然若采取平方反比定律为最佳控制器，其目的在维持物体沿特定轨道运动的总能量为固定。

It was suggested that in the radiation distance of 50 to 100 cm, the dosage could be calculated by the square inverse ratio law.

提示：照射距离为50～100cm时可采用平方反比定律计算剂量，如果可能尽量采用相同的距离进行最小红斑量测定与照射或按不同距离时的强度比值折算。

It was found that the practical value of the relative intensity of ultraviolet radiation in the radiation distance of 50 to 100 cm was conincident with theoretical one calcuIated by the square inverse ratio law. In the radiation distance of 25 cm, the practical value was less than theoretical one.

但实际上治疗用的紫外线灯管多为U型灯管，光照强度与光源距离的关系是否仍符合平方反比定律曾有不同意见，为此我们进行了紫外线照射距离改变对强度影响的测试。

In the radiation distance of 25 cm, the practical value was less than theoretical one. It was suggested that in the radiation distance of 50 to 100 cm, the dosage could be calculated by the square inverse ratio law.

提示：照射距离为50～100cm时可采用平方反比定律计算剂量，如果可能尽量采用相同的距离进行最小红斑量测定与照射或按不同距离时的强度比值折算。

Axial Pressure Sensitivity: Measured on axis in the far field with 1 watt input (4.0 volts RMS, 16 ohms) and referenced to 1 meter distance using the inverse square law.

轴向压力灵敏度：测量轴在远场与1瓦特输入（ 4.0伏特的电压有效值， 16欧姆），并参照1米的距离，用平方反比定律。

At the risk of provoking buried math anxiety, the "inverse square law" from high school physics states that if you double the distance from the source, for example, the field force drops four-fold, not just two-fold.

冒着激起潜在焦虑的风险，高中物理学的平方反比定律表明如果你离发射源有两倍距离，那么电磁场强度将下降四倍，不仅仅是两倍。

Methods Ionization chamber and film dosimetry methods were used to compare the angular dose distribution, point source approximation in the area close to the source,the coincidence of inverse square law of source strength and the scatter and attenuation in water medium,of a cylindrical, miniature 192 Ir source and "the ideal point source".

用电离室法与胶片法实测国产192Ir放射源空间剂量角分布、点源的近似性与源强反平方定律的符合性以及水介质散射与衰减特性，并与点源剂量分布特性比较。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。