类比关于数式的二项式定理，导出关于矩阵的二项式定理，并用数学归纳法予以证明，最后举例说明关于矩阵的二项式定理的应用。
Compared to digital binomial function, matrix binomial function is derived and proved with induction method and the application of it is illustrated with examples.
他们发现了数条深色痕迹，并在7月28日的《地球物理学研究快报》(Geophysical Research Letters)上发表了一篇“深入聚焦”式的分析报告。
They found several of the dark tracks and published an "up close and personal" analysis in the July 28 Geophysical Research Letters.
Computationsin CommutativeAlgebra (CoCoA)是另一个免费计算机代数系统，用于处理超大型整数、有理数和多项式。
Computations in Commutative algebra (CoCoA) is another free computer algebra system for working with very large integers, rational Numbers, and polynomials.
虽然嵌入式数据库的应用不计其数，但是许多人都不知道用Derby可以实现的一些客户端功能。
There are countless USES of an embedded database, but many people are not aware of some of the client-side functionality that is possible with Derby.
代理服务器甚至还有可能有它们自己的显式的代理服务器，这又增加了WebSocket传输需要的中继数。
It is even possible for proxy servers to have their own explicit proxy servers, increasing the number of hops the WebSocket traffic has to make.
采用埃尔米特插值多项式代替泰勒展开式逼近目标函数，极大地降低了高阶交叉灵敏度的阶数。
Adopting the Hermite polynomial instead of the Taylor polynomial can greatly decrease the order of high-order cross sensitivity.
介绍了准数关联式中常数的两种求法：图解法、最小二乘法。
The paper introduces two methods of calculating constant and coefficient of Numbers related formula; graphical method, least square method.
对于直流互击式喷注器，鲁泊数和孔径比是影响喷注器性能的两个关键参数，而且两者之间有一定关联。
The Rupe number and the ratio of injection orifice diameter are two key parameters affecting unlike impinging injector performance, and they are closely interrelated.
论述了带反馈分布式信息融合系统中传感器观测维数不同时的状态估计方法。
The method of state estimation is discussed, when radars have different observation dimension in one distributed data fusion system with feedback.
可穿戴式活动监测设备能计算你的步数，并追踪你的运动，但它们对减肥似乎没有帮助。实际上，不用它们的话，你的减肥效果可能更好。
Wearable activity monitors can count your steps and track your movements, but they don't, apparently, help you lose weight. In fact, you might lose more weight without them.
校正曲线数：仪器可存储9条标定曲线，5条为一元一次直线，4条为二项式抛物线。
The number of calibration curve: apparatus can store 9 calibration curve, 5 for one line, 4 for binomial parabola.
喷气式飞机如今数钟头就可飞越大西洋。
为手持式数显铁路轨道测量尺设计并实现了一种以超级电容为供电电源和以微型手摇发电机为充电电源的设备供电方案。
A scheme of power supply using the super capacitor and the mini manual electrical generator for the hand-held digital display railway track scale has been designed and realized.
得到了不同封头结构的物流分配不均匀特性与雷诺数之间的关系式。
The correlations of the flow maldistribution characteristic with Reynolds number are obtained under different header configurations.
导出一个简明的粒子数密度差与温度的关系式。
A concise relation between the population density difference and the temperature is derived.
研究了水斗数对冲击式水轮机性能的影响。
The experimental study on the influence of bucket Numbers on the Pelton turbine's performance was presented.
在低速和高速情况下，分别得到了有效电荷数和电子阻止本领的解析表示式。
In the case of low and high velocities, the analytical expressions of the electronic stopping power and the effective charge are obtained, respectively.
引用矩阵的有关理论，给出了平方和分解式中二次型秩数的计算方法。
By introducing theories of matrix, this paper presents a calculation method for the rank of the quadratic form in quadratic sum resolution.
结果表明，利用二项式光场的特性，可以揭示从相干态到数态之间的所有态光场与三能级原子相互作用时的量子纠缠性质。
The results show that quantum entanglement of all states from the coherent state to number state interacting with a cascade three level atom can be displayed by using the binomial field property.
在测得大量数据的基础上，得出了此时气液两相斯托拉赫数的通用关系式。
On the basis of a huge quantity of measured data obtained is a universal relation of the gas liquid Strouhal number for the above cited case.
在实验结果的基础上提出了普朗特摩擦系数关系式的新系数，与常用的摩擦系数关系式相比，扩大了普朗特摩擦系数关系式的雷诺数应用范围。
A new coefficient of Prandtl's relation was obtained from the experimental data. Compared with three conventional relations of friction factor, the range of Reynolds number was extended.
实际探测尾流时，只要测量到了透射比，就可以由这个关系式得到实际的气泡数密度。
So in actual detection of wake bubbles, one can easily obtain the bubbles number density utilizing the function, after the energy transmission ratio is measured.
分析了蓄热式热交换器传热和流动过程的不可逆性，提出了熵产数的概念。
The irreversibility of heat transfer and fluid flow in regenerative he at exchanger was analyzed, and the number of entropy generation units was introduced.
主要研究层绞式带状光缆和边粘型大芯数光纤带。
In this article, we mainly research stranding fiber ribbon cable and side cladding multifiber ribbon.
监测系统：贮槽液位显示用压差式液位计或微机控制的数显液位计。
Monitoring System: Pressure difference level or computer controlled digital level is adopted to indicate tank level.
同时该方法通过引入粒子数密度的概念和半隐式算法，有效地保持了流体的不可压缩性。
And at the same time introduce the concept of particle number density and the semi-implicit algorithm, effectively maintain the incompressible of the fluids.
随着数字式弹载计算机的使用，自动驾驶仪能够很方便地实现系统变参数设计，在不同的马赫数及不同的飞行状态下，通过弹载计算机的解算来实时装订系统参数。
But now the parameters of digital autopilot system can be easily designed, changed and loaded at real-time, at different flying states and at different Mach Numbers by missile-borne computer.
氧化数法结合系数代数法可以求出复杂体系氧化还原反应配平式，但正确答案往往不是唯一的。
The reaction equation in a complex oxid - reduction, according to the authors, can be balanced by combining oxidization algorithm with coefficient algebra, which gives more than one correct answer.
英国卫报报道称，此次开幕式华丽、喧闹并花费巨大，其规模已超越此前数届奥运会开幕式。
British newspaper The Guardian said the show "outdid all of its predecessors in numbers, colour, noise and expense."
英国卫报报道称，此次开幕式华丽、喧闹并花费巨大，其规模已超越此前数届奥运会开幕式。
British newspaper The Guardian said the show "outdid all of its predecessors in numbers, colour, noise and expense."
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