用公式表示

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。

We know that the solutions of quadratic, cubic and quartic can be expressed by radicals. As to the solution of the quintic which has became an issue for past two or three hundred years, it was not solved until 1832 a great young Mathematician of French named Galois who recommended group theory that proved a polynomial of degree 5 and over 5 can't be solvable by radicals.

中文摘要我们知道二次、三次及四次的方程式都可以用根式表示，至於五次方程式的解迟迟无法解决，这个问题持续了两三百年，直到1832年，一位法国青年Galois在其决斗前夕，在他的遗书中，这位伟大的青年数学家引进了群的理论，证明了：五次及五次以上的方程式，不可能有公式解。

A boundary integral formulation describing constant-αforce-free field with finite energycontent in the semi-infinite space above the sun was proposed(Yan,1995), this formulationcontains boundary field and its normal gradient under integral sign.

颜毅华1995年在太阳物理杂志上发表一文，就太阳磁场提出了一个具有有限能量的线性无力场模型，并对磁场给出了一个边界积分表示公式，该公式用边界上的已知磁场值和未知的磁场法向导数值来确定空间任意点的磁场值。

Zeno's logical paradox of Achilles and the tortoise,articulated ab out 425 B.C.,could not be expressed in a mathe－matical formula for twenty-one centuries.

芝诺在公元前425年提出的关于阿基里斯和乌龟的悖论，在以后的21个世纪里一直未能用一个数学公式表示出来。

The gamma function calculation of Pearson type III distribution is investigated,a new approximation method by using cone curve is put forward,and neither numerical integral nor series expansion may be used.

对皮尔逊Ⅲ型分布公式中伽玛函数的计算问题进行了研究，提出了一种新的数值逼近方法，在一定范围内对伽玛函数用圆锥曲线表示，利用递推公式扩大参数范围，免去了数值积分和用级数展开计算的麻烦。

The formula for area of ellipsoidal triangle on earth ellipsoid by means of geodesic coordinate is derived in this paper. It is showed that the primary term is identical with the formula for area of plane triangle by planimetric rectangular coordinate in three angular point, while the expression of remainder terms has also regularity of its form. The presented formula can be applicable also to convex polygon on earth ellipsoid.

本文推导出用三顶点的测地坐标计算地球椭球面上三角形面积的公式，公式表明，其主项的表示式与按平面坐标求面积的计算式完全一致，而附加项的表示式亦有规律可循，因此该公式的适用范围可由椭球面三角形推广至椭球面上任意凸多边形。

Finally, the given symbolic logic formula can prove the rationality of component model and validity of framework extension.

在分析了框架元模型组成元素的基础上，应用面向领域的特征模型的方法，对构件模型组织结构进行统一的抽象和描述，并用命题逻辑公式来表示构件之间的逻辑关系和语义约束；用UniCon语言给出了扩展点及其依赖关系的表示方式；最后通过给定的命题逻辑规则公式来验证构件模型的合理性、框架扩展的正确性。

At first, the optimization formulas of the structuring element are derived in the case of erosion and dilation. Then, adaptation formulas for an arbitrary composition of erosions and dilations are obtained.

通过将腐蚀与膨胀运算用隐函数表示，推导出腐蚀与膨胀运算中结构元的优化公式，由此进一步可得到任意组合形态滤波器的自适应优化公式。

Suppose , Zeno hadsaid , that Achilles can run ten times as fast as a tortoise and thetortoise has a ten － yard head start .

芝诺在公元前425年提出的关于阿基里斯和乌龟的悖论，在以后的21个世纪里一直未能用一个数学公式表示出来。

By the relevant regulations, in addition to payment transactions 1,629 buyers, but also due to land leasing, transfer fees, stamp duty, taxes, intermediary services fees, expressed as a simple formula

按有关规定，买主除了支付成交房款外，还应交土地出让金、过户手续费、印花税、契税、中介服务费等，用公式简单表示为

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。