平方根

This model can estimate the size of the affected area in the event of a full-bore rupture by the diameter, the operating pressure and the length of pipeline Hazard area is directly proportional to the operating pressure raised to a half power, and to the pipeline diameter raised to five-fourths power, but inversely proportional to the pipeline length raised to a quarter power.

应用该模型可以通过管道直径、工作压力和管道长度计算出全口径断裂事故的影响范围。危险影响区域与工作压力的平方根成正比，与管道直径的5/4次幂成正比，与管道长度的1/4次幂成反比。

First, when the Pythagoreans discovered the irrationality of the square root of two … Second, when the philosophical Bishop, Berkeley the Bear, pointed out the contradiction of dividing by zero … But Cantor the Goat, by his General Set Theory, has shown us how to resolve these problems, and to dispel crisis from the Foundations of Mathematics!

每一次危机是毕达哥拉斯学派发现了2的平方根是一个无理数……第二次危机是作为哲学家的毕晓普这只贝克莱大熊指出了用0做除数所具有的矛盾性……而康托尔山羊在它的《普通集合论》里向我们证明了它是如何解决这个问题的，并且消除了数学基础的危机！

In Chapter 4, the pricing of Asian geometric average option under stochastic interest rates is studied, assuming CIR model for the interest rates. Asian option is strongly dependent with path, usually have a long duration, the movement of interest rates becomes more important in pricing such long-dated options. The CIR interest rate model not only considered the interest rate behavior has mean-reverting but also take into account that the fluctuation rate is direct proportion with the square root of its interest rate. Finally, the method of finite difference for the Asian geometric average option under CIR interest rate model is given.

第四章在利率满足CIR利率模型的假设下，研究了几何亚式期权的定价公式，亚式期权是强路经依赖性期权，通常有效期较长，在进行较长时期的投资时，利率的变化是非常重要的，CIR利率模型不仅考虑了利率行为具有均数回归的现象，而且还考虑其波动性的大小与利率大小的平方根成正比，最后给出了CIR利率模型下的几何亚式期权定价的有限差分法。

Plane strain, mode I quasi-static steady state crack growth is investigated utilizing the finite element method. It is once again established that TNT plasticity can significantly increase the stress level near the crack tip. The crack tip stress singularity is higher than or equal to the square-root singularity of elastic K field and is also independent of the plastic hardening exponent.

采用有限元方法研究了平面应变Ⅰ型准静态的稳态裂纹扩展，再次证实TNT非局部理论能够显著提高裂纹尖端附近的应力水平；裂尖应力场的奇异性超过或等于弹性K场平方根奇异性，而且与塑性硬化指数无关。

In particular,we discuss the decomposition problem of idempotent booleanmatrice, and give all its square roots.

特别地，就幂等布尔矩阵的情况进行讨论，并用一种较简单的方法给出了它的所有平方根。

Having found all square roots of an identity matrix .

找出了单位矩阵的所有平方根。

Having found quite by chance that some solution matrices of Dirac are square roots of 4 × 4 identity matrix.

偶然发现了一些与Dirac方程的解有关的矩阵是4×4单位矩阵的一种特殊形式的平方根。

Imaginary number is any number of the form a + bi where a and b are real numbers, i is the square root of -1, and b is not zero.

虚数是形式为a+bi的任何数，其中a和b是实数，i是-1的平方根，且b不为0。

The importance of a news item is inversely proportional to the square of the distance.

一条新闻的重要程度与新闻来源的距离的平方根成反比。

The square root of two is an irrational number.

二的平方根是一个无理数。

The labia have now been sutured together almost completely.The drains and the Foley catheter come out at the top.

此刻阴唇已经几乎完全的缝在一起了，排除多余淤血体液的管子和Foley导管从顶端冒出来。

To get the business done, I suggest we split the difference in price.

为了做成这笔生意，我建议我们在价格上大家各让一半。