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If both the volume and the surface area of a sphere are numerically equal to kp, find the value

若某球体的表面积及体积之数值均为kp,求k的值。

This paper describes the content of the theorem, and theorems are given two proofs, cite the Lagrange mean value theorem in the mathematics major applications, including that inequality, identity, Limit, determine monotonicity, root The existence of such.

本文简要叙述了定理的内容,并且给出了定理的两种证明方法,例举了拉格朗日中值定理在数学中的主要应用,包括证明不等式,恒等式,求极限,判断单调性,根的存在性等。

In order to get the more accurate data of atmospheric capacity about this type of area, such as Yueyang, this paper analyzed the characteristics of Yueyang meteorology, gathered the features of atmospheric pollution sources, worked out the main problems in environmental protection. In addition, we analyzed the rule of atmospheric transport and diffusion, and took the Frequency of lake and breeze to modify the data of atmospheric capacity of Yueyang, which was achieved by A-P index, and compares the modified data of atmospheric capacity with the data of atmospheric capacity achieved by multi-source. The results indicated that according to the fact of lake and breeze, taking the frequency of lake and breeze to modify the data of atmospheric capacity of the field with stable lake and breeze, which is achieved by A-P index, made the atmospheric capacity more accurate. Accordingly, the result could be more reliable if the modified data is taken to calculate the atmospheric capacity when we assess the impact on the environment of the field with stable lake and land breeze.

为准确地求得这一类型地区的大气环境容量,本文研究了岳阳市城区大气环境的主要特点,收集大气污染源数据并进行分析,查明岳阳市城区主要环境问题,分析岳阳市城区主要大气污染物的迁移转化规律,对A-P指数法求得的岳阳市大气环境容量值用湖陆风频率进行修正,并将修正后的大气环境容量与多源模型(区域大气环境容量计算模型)求得的大气环境容量进行对比,得出结论:根据湖陆风环流情况下的大气扩散方式,对有稳定的湖陆风环流的地区,采用湖陆风频率修正A-P指数法求大气环境容量,进一步提高了计算的准确性。

In the fifth part, we obtained a solution of the boundary function for the Laplace equation by knowing some of its interior points values of five-point difference approximation.

给出从Laplace方程的解的内点值求边界函数的方法。

The former hypothesis is mainly based on mathematical linear extrapolation from effects observed by high doses. This notion advocates the linear assumption of radiation risk and that there is no lower limit to the amount of radiation that causes short- or long-term damage. The latter is the countervailing hypothesis-radiation hormesis.

前者主要依据高辐射剂量效应的观察,用数学线性补插法来求低剂量之效应,主张:辐射剂量会造成短或长期的伤害,且无低限值的;后者的证明来自於广泛的流行病学观察和实验研究的科学资料,这些证明指出辐射对人的伤害有确定的阀值剂量。

Solving linear programming problems in a linear equation group inequalities or the condition of a linear function for the most value problem.

求解线性规划问题,即在一组线性不等式或等式组的约束条件下求某个线性函数的最值问题。

First, the reason behind the negative data is analyzed and a nonnegative constraint is imposed on the classic PCA. Then a set of nonnegative linear independence weight vectors of principal components is obtained, by which a low dimensional space is constructed. Finally, a nonlinear optimization technique is used to determine the projection vectors of the high-dimensional multi-spectral data in the constructed space.

首先分析主成分分析法产生非光谱数据的原因,据此对经典主成分分析模型增加非负约束;然后求出一组线性无关的非负主成分权向量,用该组向量构造低维空间;最后用非线性优化技术确定高维数据在该低维空间中的投影值,实现了高维空间与低维空间的相互转换。

Programming calculated two-dimensional array of elements in the largest and smallest values and its loc...

编程求出二维数组中的最大和最小元素的值及其位置。

This method ensures the integral request along the main diagonal of Aumann-Shapley value formula, and realizes the reasonable sharing of the security cost between consumers and power suppliers and between the bilateral transactions of using the congested line.

该方法保证了Aumann-Shapley值求取公式中沿主对角线积分的要求,使安全成本可合理地分摊给各个用户和发电商,以及使用阻塞线路的双边交易。

From nine-value set operations,especially the operation of convert mapping between sets,various cubetab les have been derived directly.

通过九值集合运算,特别是集合的逆映射,直接导出各种立方表,然后同D 算法一样,对故障的测试立方进行D 驱赶和一致性相交运算,求出故障的测试。

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Chapter Three: Type classification of DE structure in Sino-Tibetan languages.

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