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This paper overviews the various algorithms for least square collocation, discusses the matrix QR decomposition, derives the relationship between QR decomposition and generalized inverse matrix, and obtains least square inverse used for calculating matrix. In addition, the estimation formula for least square collocation by QR decomposition and its accuracy formula are derived. A case study is conducted using gravity anomaly test and calculation to demonstrate that the QR method is correct and valid in least-square collocation calculation.

分析了目前采用的最小二乘配置法解算方法,在讨论了矩阵的QR分解方法的基础上,推导得出了矩阵QR分解与广义逆矩阵的关系,得出了可以直接利用QR分解求解矩阵的最小二乘逆,并推导了应用QR分解求解最小二乘配置的估值计算公式和精度估算公式,最后通过重力异常实例进行了计算,得出矩阵的QR分解用于最小二乘配置解算的正确性和可行性。

This method makes the complicated space structure calculation decompound into a couple of related plane problem. The bottom structure is supported by longitudinal beams in cross calculation, and then the cross forces and elastic supporting forces are obtained.

横向计算中,底部弹性支承在各纵梁上,可求得结构的横向受力与弹性支承反力;然后将弹性反力作为荷载,反向作用于纵梁上,进行纵梁的受力计算。

In this paper, reciprocation, frequently used in indefinite integral calculation, was applied in definite and broad integral calculation.

将不定积分计算中经常使用的例代换,应用于计算多余定积分与广义积分,在某些情况下,使计算大为简化。

In calculation of definite integral,beginners tend to use three methods of calculation:(1)Leibniz formula,(2)integration by substitution of definite integral,(3)integration by parts of definite integral.

在定积分计算中初学者常用的计算方法有三种:(1)利用牛顿-莱布尼兹公式,(2)定积分的换元积分法,(3)定积分的分部积分法。

The calculation of degree-day is usually based on the definiation of basic temperature and average temperature in the day. The basic temperature is often calculated according to energy supply, physiological demand of human body, the level of economic development and the character of temperature changes. There are mainly four methods for the calculation of average day temperature. The most popular way is to get the average of the highest temperature and the lowest one.

度日计算的前提是基础温度和日平均温度的确定,其中基础温度往往是根据能源供应、人体生理需求、经济水平以及温度变化特点而人为规定的,也有一些学者尝试用数学方法求得;日平均温度的计算方法主要有4种,国外学者经常采用的是取日最高气温和最低气温算术平均值的方法。

With the use of absorption chiller performance model, an approximate calculation method was derived for the absorption chiller unit with a quantitative analysis of the effect of operating parameters on the absorption chiller performance. The formula is simple, physically clear and accurate enough. Its correctness was verified by calculation examples and model predictions were compared against performance data from experiments with favorable results.

给出单效吸收式制冷机局部定量分析近似计算方法,解决了工程上吸收式制冷机局部定量分析计算时的简化计算问题,提出的近似计算方法在精度和计算量方面均具有一定的优势,既解决了吸收式制冷机变工况计算问题,又满足实际机组经济性诊断的需要,实例计算证明了理论模型和诊断方法的准确、简捷性。

In this article, with pointing out that the result of the current calculation model is deficient in the similarity, it has deduced the numerical regulation of the variation of the elements including q ,γ andτ in the steam-water distribution matrix equation when the terminal temperature difference exits in the heater via the power balance equation, and combining with the power equation and boiler absorbed heat equation, the precise calculation model for the impact of heater terminal temperature difference on heat economy of unit is then derived.

指出现有计算模型结果具有近似性的不足,本文通过加热器能量平衡方程推导出加热器有端差时汽水分布方程中q 、γ和τ元素数值的变化规律,然后结合功率方程和吸热量方程得到加热器端差对机组热经济性影响的精确计算模型。

By transforming the equation in phase coordinates to the equation in symmetrical components coordinates, dividing circulator nodes and non circulator nodes, and optimizing the diagonal matrices calculation, the method is developed and found to have higher calculation efficiency.

利用统一的变换公式,只需改变变换矩阵,就可以处理各种简单故障和复杂故障。同时给出了对应于常见故障的变换矩阵,并与断线故障处理方法配合,可以完成任意故障的处理。

On moving base, a new initial alignment algorithm for strapdown inertial navigation system is proposed. In the algorithm, two special inertial frames, the initial-time inertial frame (i0 frame) and the initial-time SINS body inertial frame (ib0 frame), are defined and are selected as calculation reference frames, then, the calculation of initial alignment direction cosine matrix is expanded into three parts:(1) the DCM between i0 frame and the navigation frame will be easily obtained via local geographical coordinates and initial alignment time;(2) attitude updating using gyro samples gets the DCM between SINS frame and ib0 frame;(3) by explaining SINS specific force equation in SINS body frame, the relation between velocity log, accelerometer measurement and gravity acceleration is established to achieve the constant DCM from ib0 frame to i0 frame.

在运载体运动情况下,提出了一种适用于捷联惯导系初始对准的新算法,该算法以惯性空间为参考基准,即建立了初始时刻惯性坐标系(i0系)和初始时刻捷联惯组惯性坐标系(ib0系)两个惯性坐标系,将初始对准姿态矩阵的实现分解为三部分:(1)通过地理位置和初始对准时间求解i0系至导航坐标系的变换矩阵;(2)使用姿态更新算法实时计算捷联惯组相对于ib0系的变换矩阵;(3)通过惯导比力方程变形,获得测速仪辅助测量、加速度计输出和重力加速度之间的关系,从中可以求解出从ib0系至i0系的常值变换矩阵。

Fourth precision solution can be derived from two grid sets solution with a second precision central difference scheme by Richardson extrapolation. It reduces the amount of calculation. Uncertainty is determined from the discretization error analysis. A finer grid calculation is made to validate the extrapolation scheme.

对于2阶精度中心差分格式的2套网格数值解,用Richardson外推法可以得到4阶精度的解,其工作量比直接求解4阶离散方程的工作量减少许多;对于计算中的数值不确定度,用该方法分析了离散误差,并用逐次加密网格的方法探讨了外推法的合理性。

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On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面,更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值,分为几个相等的区间作为横轴,并将各区间内所测定值依所出现的次数累积而成的面积,用柱子排起来的图形,也叫做柱状图。

You rap, you know we are not so good at rapping, huh?

你唱吧,你也知道我们并不那么擅长说唱,对吧?