A formula used to determine the upper cut off Rc of the fractal structure of the Universe is given by analysis of different apparent magnitude limited catalogues.

本文给出了用几种达到不同极限星等的星系表确定宇宙分形结构上限截止尺度的公式。

The magnitude scale now runs to more than six and less than one, even descending into negative Numbers -the brightest star in the night sky is Sirius, with an apparent magnitude of -1.46.

现在星等的取值范围已经多过六等，低于一等，甚至下降到负值——夜空中最亮的星是天狼星，它的可视星等为- 1.46。

The magnitude scale now runs to more than six and less than one, even descending into negative Numbers - the brightest star in the night sky is Sirius, with an apparent magnitude of -1.46.

现在星等的取值范围已经多过六等，低于一等，甚至下降到负值——夜空中最亮的星是天狼星，它的可视星等为- 1.46。

Deferring to historical custom, astronomers, measure the apparent brightness of stars through the magnitude scale, a very confusing way.

按照历史习惯，天文学家用星等标这种容易使人混淆的方法来度量恒星的视亮度。

However, the apparent frequency factor of curing increases with the increase of the catalyst, being one order of magnitude higher with 0.6 % catalyst than without.

表观频率因子随催化剂用量增加而增加，催化剂用量为0.6%时约增加一个数量级。

Simulation computation indicates that enhancement by micro-convection has identical magnitude as that by apparent conductivity of fluid in the pipe wall.

模拟计算表明，由微对流导致的对流换热强化与流体在管壁面上的表观导热系数强化具有相同的数量。

The relation between apparent stress and magnitude is discussed in the paper.

文中还探讨了视应力与震级之间的关系。

The results show that the curves of all time apparent vertical conductance can identify the layers clearly, and can also indicate the magnitude of conductance of layers.

试算结果表明，全区视纵向电导曲线能较好地划分电性层，并能指示电性变化关系。