公式的

The formula derived in this paper are consistent with those in CHEN's paper where they are derived based on geometric graph, while the former are easy to comprehend.

根据相位裕度的概念推导出的参数整定公式与基于几何图形推导出的参数整定公式一致，但更容易理解。

Based on the formula derived from the concept of phase margin, a new optimization tuning method of PID parameters was proposed. It found out the best value of K and T、T by using twice linear search, respectively. The formula derived in this paper are consistent with those in CHEN's paper where they are derived based on geometric graph, while the former are easy to comprehend.

提出了一种PID参数最优整定方法，两次采用线搜索分别整定出K和T、T根据相位裕度的概念推导出的参数整定公式与基於几何图形推导出的参数整定公式一致，但更容易理解。

Then an improved EVERETT interpolation formula in the form of polynomial of the variable is obtained by developing the differential form.

然后，将差分公式展开，得出了直接用自变量的多项式形式表示的改进的EVERETT插值公式。

Direction cosine analysis based on winmeil;2. According to the directioncosine formula in hexahedron tubular hea ter,the direction cosine of energy bind in inclined and symmetry tubular heater is stuided.

分析了用蒙特卡罗法计算加热炉辐射传热时能束的发射方向和行程长度，根据六面体加热炉中能束的方向余弦公式，对斜顶对称加热炉中发射能束的方向余弦进行了研究，得到了其修正公式，对斜顶壁面相交坐标进行了修正。

The launching direction and journey length of energy bind in calcula ting the radiation heat transferring in tubular heater by method of Monte-Carlo are analysed. According to the directioncosine formula in hexahedron tubular hea ter,the direction cosine of energy bind in inclined and symmetry tubular heater is stuided.

分析了用蒙特卡罗法计算加热炉辐射传热时能束的发射方向和行程长度，根据六面体加热炉中能束的方向余弦公式，对斜顶对称加热炉中发射能束的方向余弦进行了研究，得到了其修正公式，对斜顶壁面相交坐标进行了修正。

The introduction of displacement operator, derivation operator, integral operator and the operator, such as differential calculus operator and the definition of the form of computing, will be applied to similar derivation formula gives Newton a Kete Si formula and Bernstein theorem Law said the operator, and form is derived; linear differential equations is the operator solution.

有没有高手可以帮我翻译下这段话啊？？？引入位移算子、求导算子、积分算子和差分算子等微积分算子的定义及其形式运算，将其应用于近似求导公式；给出牛顿一柯特斯公式和伯恩斯坦定理的算子法表示，并进行形式推导；给出线性常微分方程的算子解法。

In Chapter 4, using Newton series, we obtain a divided differences formula of composite functions, and give a matrix equivalent form of these composite functions. Moreover, we derive a divided differences for the reciprocal series.

第四章利用形式Newton级数得到了复合函数的差商公式，并给出复合函数的一个矩阵等价形式，从而得到一个反级数的差商公式。

An alternative formulation of quantum mechanics is Feynman's path integral formulation, in which a quantum-mechanical amplitude is considered as a sum over histories between initial and final states; this is the quantum-mechanical counterpart of action principles in classical mechanics.

一个量子力学的代用公式是费曼路径积分公式，在其中量子力学振幅被认为是超过最初与最后态历史的总和；这就是在经典力学里量子力学作用原理的相似物。

A formula of propositional logic is said to be satisfiable if logical values can be assigned to its variables in a way that makes the formula true.

公式命题逻辑被认为是符合要求，如果逻辑值可分配给它的变量的方式，使真正的公式。

This article also points out that"existence of squares","Out-In Complementary Principle","the principle of limit","Liu-Zu cross -section princeple","the area formula for rectangle and the volume formula for cuboid" determine the nature and lay the foundation of geometry in ancient China.

提出了我国古代论证几何所依据的原始命题，指出"存在正方形"连同"出入相补原理"、"极限原理"、"刘－祖截面原理"以及长方形面积公式和长方体体积公式确定了我国古代几何的性质，奠定了我国古代几何的基础。

She gently rebuff ed him, but agreed that they could be friends

她婉言拒绝了，但同意作为朋友相处。

If in the penal farm, you were sure to be criticized.

要是在劳改农场，你等着挨绳子吧！