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One of the many consequences of the exponential power-versus-time curve in computing, and the corresponding pace of software development, is that 50% of what one knows becomes obsolete over every 18 months.

在计算领域成级数方式增长的能量vs时间曲线，以及相应的软件开发的进步，带来的影响之一就是一个人的知识每18个月就被淘汰掉50％。

One of the many consequences of the exponential power-versus-time curve in computing, and thecorresponding pace of software development, is that 50% of what one knows becomes obsolete over every 18 months.

在计算领域成级数方式增长的能量vs时间曲线，以及相应的软件开发的进步，带来的影响之一就是一个人的知识每18个月就被淘汰掉50％。

One of the many consequences of the exponential power-versus-time curve in computing, and the corresponding pace of software development, is that 50% of what one knows becomes obsolete over every 18 months. unix does not abolish this phenomenon, but does do a good job of containing it.

在众多的幂指数曲线的计算结果中，相应的软件开发步骤中，每18个月就有50%被淘汰。unix在这个现象中没有被淘汰，相反却是一个好的成果被保留下来。

One of the many consequences of the exponential power-versus-time curve in computing, and thecorresponding pace of software development, is that 50% of what one knows becomes obsolete over every 18 months. unix does not abolish this phenomenon, but does do a good job of containing it.

在计算领域成级数方式增长的能量vs时间曲线，以及相应的软件开发的进步，带来的影响之一就是一个人的知识每18个月就被淘汰掉50％。unix也无法回避这种现象，而是做了很好的工作来容纳它。

The results show that in comparison with the exponential curve model and the GM (1, 1) model, the DE-GM (1, 1) model fits the measured data better and make s prediction more accurately. Furthermore, the DE algorithm is a highly effective algorithm with good properties such as high efficiency, high precision, fast computing speed and universality, etc.

结果表明，与指数曲线模型和GM(1， 1)模型相比，DE-GM(1， 1)模型能够更好地拟合实测数据，预测精度进一步提高；微分进化算法在GM(1， 1)模型参数优化过程中表现出求解速度快、计算精度和自动化程度高等特点。

In particular since the 20th century computer technology hardware and software is an irresistible computer hardware from the original Pocket PC into a monster all kinds of equipment to deal with the computing speed and capacity are shown the growth of the exponential law trends; software computer applications quickly spread from the original dedicated to the expansion of can be seen everywhere today today's computers covered almost all areas of life production.

特别是20世纪90年代以后，计算机软硬件的技术更是不可阻挡，计算机硬件方面，从原来的庞然大物演变成了掌上电脑，各种设备的运算速度和处理容量更是呈现出了指数规律增长的趋势；软件方面，计算机的应用领域迅速扩散，从原来的专用扩展到了今天的处处可见，今天的计算机几乎覆盖的所有的生活生产领域。

In order to solve the problem,We proposed a simple formula for computing paraxial travel time of single-way wave operator. The formula is based on the forward and inverse transform between time-space domain to frequency-wavenumber domain and from vector field to exponential manifold. The travel time are expressed as polynomials of the horizontal offset between the two points, and the single-square-root operator in frequency-wavenumber domain are expressed as polynomials of wavenumber. Coefficients of travel time polynomials and that of single-square-root operator are related each other and calculated by Lie algebraic integrand, exponential map and the saddle-point method.

针对此，基于时间空间域到频率波数域和向量场到指数流形上的正反变换，提出了计算单程波算子旁轴走时的简便公式，将走时表示成空间变量(地面点到地下相点的水平距离)的多项式，将频率波数域单平方根算子表示成波数的多项式，运用Lie代数积分、指数映射和鞍点法将走时多项式的系数与单平方根算子的系数联系起来，运用单平方根算子的系数计算走时多项式的系数。

In order to solve the problem, We proposed a simple formula for computing paraxial travel time of single-way wave operator. The formula is based on the forward and inverse transform between time-space domain to frequency-wavenumber domain and from vector field to exponential as polynomials of wavenumber. Coefficients of travel time polynomials and that of single-square-root operator are related each other and calculated by Lie algebraic integrand, exponential map and the saddlepoint method.

针对此，基于时间空间域到频率波数域和向量场到指数流形上的正反变换，提出了计算单程波算子旁轴走时的简便公式，将走时表示成空间变量（地面点到地下相点的水平距离）的多项式，将频率波数域单平方根算子表示成波数的多项式，运用Lie代数积分、指数映射和鞍点法将走时多项式的系数与单平方根算子的系数联系起来，运用单平方根算子的系数计算走时多项式的系数。

Modular exponentiation of large operands is the kernel operation in many public-key cryptosystems.It is also the bottleneck of the computing efficiency.

大数模幂乘运算是许多公钥密码体制的核心运算，也是运算效率提高的瓶颈。

A compilation was made with the support of a small calculator brackets including four forms of computing expression, including error detection.

一个用汇编写的一个小型计算器支持包括有括号形式的四则运算表达式，含错误检测。

Many will continue to choose to live in duality and in conflict.

许多人将继续选择活在二元对立性和冲突中。

I find that students of the University of Physical Education all wear sportswear at first sight.

我发现：体育大学的学生乍一看，都是穿运动衣，大家都一样