并由此得出幂和问题的一些新的性质。
Consequently we obtain some new proposition for the power sum problem.
历史悠久的幂和问题，是迄今仍然颇受关注的一个问题。
Historical long problem of powers sum is a problem that still quite gets solicitude so far.
最后，介绍上述结果在求解自然数幂和公式方面的应用。
Finally, a little applications of above results for solving powers sum formulas of natural Numbers are introduced.
当然，幂和尾数都是用二进制数系统来编码，而不是十进制数系统。
Of course, both exponent and mantissa are encoded using a binary system rather than a decimal system.
当然，幂和尾数都是用二进制数系统来编码，而不是十进制数系统。
Of course, both exponent and mantissa are encoded using a binary system rather than decimal system.
借助牛顿公式和韦达定理，采用迭代的方法求解类似于自然数等幂和的问题。
With the help of Newton formula and Vieta theorem, iterative method was used to solve problems of power sum.
得到了既约剩余系中同阶元的等幂和的一系列性质及其计算公式，并给出了证明。
This article has obtained a series properties and a calculate formula of the sum of the equal powers of the elements of the same order in the reduced residue system.
得到了既约剩余系中同阶元的等幂和的一系列性质及其计算公式，并给出了证明。
This article gives a property and a corollary which is like Chowla s theorem, for reduced residue system.
得到了既约剩余系中同阶元的等幂和的一系列性质及其计算公式，并给出了证明。
This paper considers some properties of the sum of equal powers and the product of the elements of the same order in the reduced residue system.
运用“幂和理论”，提出一种两电平SHEPWM非线性超越方程组求解算法，可显著降低运算量。
By use of power sums theory, an algorithm to solve two-level SHEPWM nonlinear transcendental equations is put forward which can reduce computational burden greatly.
研究了一类整系数二阶线性微分方程解的幂和导函数的不动点和超级等问题，得到了一些精确的估计。
By using the factorization of meromorphic functions and the growth estimation of the modual, we obtain precise estimation of the order of growth and hyper-order of solutions of the equations.
稳定蠕变应变率本构方程是作用在盐岩上的应力偏量的幂次函数和能量与温度的指数函数。
The steady-state creep strain rate is a power function of deviatoric stress and exponential function of temperature and energy.
基于进入系统的时间，写操作具有幂等性(不管操作多少次结果都不变的性质，比如取绝对值的函数就具有幂等性)和交换性(操作顺序不影响结果，比如加法就具有交换性)。
Write operations are idempotent and commutative, based on the time they enter the system.
刷新缓存时会损失一些服务器加载数据和一些带宽；这并不违背基本的等幂性。
All you lose in flushing the cache is a little server load and some bandwidth; it does not violate underlying idempotency.
所以，在一切看视复杂现象的背后，幂次现象，就是发现了时间和随机的简单概念。
So behind the seemingly complicated phenomenon, power law, one finds simple concepts of time and randomness.
根据现有的出生率和死亡率，我们能预见下地狱人数会成幂数型增长。
With the birth and death rates what they are, we can expect the number of souls in Hell to increase exponentially.
小组发现锁相和不稳定重新同步周期的持续时间都遵守幂次定律分布。
The team found that the duration both of phase-locking and unstable resynchronisation periods followed a power-law distribution.
何时以及如何使用幂、对数和其它转换来对数据进行线性化，以便用简单线性回归来对该数据建模
When and how to use power, logorithmic, and other transformations to linearize the data so that simple linear regression can be used to model the data
对于小的整数幂，比如2和3(或以2为基数，这比较特殊)，通常会选择完全错误的算法。
It usually chooses completely the wrong algorithm for small integral powers like two and three, or for special cases like a base of two.
这项研究还发现，世界上的图书馆、电脑、DDVD和报纸所存贮的数据已高达了两百九十五万亿兆字节，也就是说295X10的18次幂兆字节之多。
The study also found that the world's libraries, computers, DVD collections and newspapers store a staggering 295trillion megabytes of information - or 295 followed by 18 zeroes。
例如，GET、POST和DELETE方法是等幂的，即多次执行它们与执行一次的结果相同。
For example, the GET, PUT, and DELETE methods are idempotent, meaning that the result of executing them multiple times is the same as that of executing them once.
笔者认为采用赫—巴模式进行水力参数的设计比宾汉模式、幂律模式更加简便和准确。
We think design the hydraulic parameter by adopt Herschell-Bulkley mode is more simple and accurate than Bingham mode and Power law mode.
实际网络中节点分布的一个广泛特征是度的无标度幂率分布，BA模型认为形成这种特征的两个主要因素是网络增长和节点间的偏好连接。
A common property of many large networks is that the vertex degrees follow a scale-free power-law distribution, the BA model features two generic mechanisms: the networks expanding and the pref.
回首刘恺威杨幂，吴奇隆刘诗诗，再看冯绍峰和林允，18岁的年龄差并不是问题，毕竟，爱可以超越一切。
Lookingback Liu Kaiwei Yang Mi, Wu Qilong Liu Shishi, look at Feng ShaoFeng and Lin Yun, the 18-year-old age difference is nothing, afterall, love can transcend everything.
再结晶晶粒尺寸和Z参数呈幂律关系。
The dynamic recrystallization grain size has power law relation with Z parameter.
如果它是有限和非空的，则它必须包含至少一个幂等元。
If it is finite and nonempty, then it must contain at least one idempotent.
介绍了幂律方程、埃利斯方程和米特方程，分析了这些方程的基本特点。提出了一个新的假塑性流体的本构方程。
The Power law equation, the Bills equation and Meter equation are introduced, and basic features are discussed. A new constitutive equation of pseudoplastic fluids are presented.
介绍了幂律方程、埃利斯方程和米特方程，分析了这些方程的基本特点。提出了一个新的假塑性流体的本构方程。
The Power law equation, the Bills equation and Meter equation are introduced, and basic features are discussed. A new constitutive equation of pseudoplastic fluids are presented.
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