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The writing of formulas with elements and radicals that have a fixed valence is easy, if a knowledge of electrostatics is applied

运用静电学知识写出具有固定化合价的元素和原子团组成的物质的分子式比较容易。

In Chapter 3, a certain polynomial Hamilton system with 3 degree is given. By elliptic integral formulas, the monotonicity of the periodic orbits of this system is verified.

在众多文章中，讨论次谐轨的分岔都需要一个条件，那就是在同宿轨附近的周期轨是单调的，第三章给出了一个具体的三次平面Hamilton系统，利用椭圆积分公式验证了这个系统的一对同宿轨附近的周期轨的周期是单调的，这包含了三种情况，周期轨在右边同宿轨内部，在左边同宿轨内部以及在整个同宿轨圈外部。

On the basis of a review of their work in this area over the past fifty years the authors have analyzed the merits and demerits of empiric formulas presented by various scholars.

本文通过对近50年来在这一领域内工作的回顾，分析了不同学者所获得的经验公式的利弊。

Based on the experiment data of local temperature and heat transfer coefficient, some empiric formulas for the heat transfer and resistance coefficient are given.

并基于肋化表面的温度和放热系数分布测定值，得出了可供实用的肋化传热以及阻力计算公式。

Cosmicomics is a phantasmagoria on Creation, an enchantingly ingenious idea which translates theories about the evolution of the Universe into stories and makes "characters" out of mathematical formulas and simple cellular structures.

宇宙连环画》是创造力的高度发挥，它独特的，引人入胜的宗旨是将宇宙进化的理论转变成故事，并从数学公式和单细胞生物中创造角色。

V V+ S0 ^. Cosmicomics is a phantasmagoria on Creation, an enchantingly ingenious idea which translates theories about the evolution of the Universe into stories and makes "characters" out of mathematical formulas and simple cellular structures.

宇宙连环画》是创造力的高度发挥，它独特的，引人入胜的宗旨是将宇宙进化的理论转变成故事，并从数学公式和单细胞生物中创造角色。

At other times the circumstances required that special formulas should be drawn up in order to have the teaching of the Church explicitly stated and accepted; such was the profession of faith prescribed For the Greeks by Gregory XIII and that which Urban VIII and Benedict XIV prescribed for the Orientals(cf. Denzinger, Enchiridion).

在其他时候需要的情况下，特别公式应制定，以便使教学中的教会，并明确表示接受；这种是专业的信念明希腊人的格里高利十三和那些城市第八和第十四笃明在东方人（参见Denzinger ，便览）。

First, theoretical analysis methods were used for the static analysis of the suspension bridge. The formulas for endogen force of the asymmetry suspension bridge through elastic theory were deduced and they were contrasted with those of the normal suspension bridge. The basic differential equation of deflection theory was deduced and the method of getting the roots of the equation was offered, and some simplified methods for deflection theory were presented.

推导了非对称式悬索桥弹性理论的内力计算公式，并对比了其与对称式悬索桥弹性理论的内力计算公式的异同；推导了非对称式悬索桥挠度理论的基本微分方程，并且给出了部分均布荷载作用下基本微分方程的试算方法；提出了挠度理论的几种简化计算方法。

Recalculate the formulas in a specific range or in the entire workbook.

重新计算在整个工作薄或指定单元格区域中的公式。

Calculation of teeth profile of disc cutter for arc-gear;2. The formulas for setting angle and entrance angle of disc cutter s are derived by using the contact condition of space curve.

利用空间曲线相切条件导出了用于计算盘形刀具安装角和切入角的条件；该方法具有以下优点：无需知道工件齿形，可同时获得刀具宽度、半径等参数。

In the days of sailing vessels the crew were afraid they would be becalmed on the ocean.

在使用帆船的时代，船员们担心他们会因为无风而无法在海洋上航行。

As long as foreign donors pay the PA's salary bill, few expect a new intifada.

只要外国继续为巴权力机构的薪水买单，希望发动新暴动的人便寥寥无几。