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平方反比定律

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Locality of action shows itself in the finite speed of light, in the inverse square law of fields, and in macroscopic statistical effects, such as rates of reaction and the speed of sound.

作用力的局限性体现在光速是有限的,体现在场的平方反比定律之中[6],还体现在宏观统计效应上,如反应速度和音速等。

The Inverse Square Law: The force of attraction between two objects is inversely proportional to the square of the distance between them.

光度学距离平方反比定律:物体的作用强度,随距离的平方衰减。二物体之间的距离如果拉近1/3,其吸引力增加 9 倍。

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?

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

He would give a book worth 40 shillings to anyone who could deduce Kepler's laws from the inverse-square law.

Christopher Wren打赌如果有人能用平方反比定律推论开普勒定律,他就会将一本价值40先令的书送给这个人。

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