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On the basis of the conversion relation of inverse matrix and adjoint matrix, by using 1/ω instead of |B'(xBx(subscript k|, a new Landweber iteration formula x(superscript δ subscript k+1)=x(superscript δ subscript k)-ωB'(x(superscript δ subscript k)Bx(superscript δ subscript kB'x(superscript δ kf(x(superscript δ subscript k)-y(superscript δ)is constructed for solving rank deficiency nonlinear least squares problem, with which the phenomenon that leads to ill-posed problem because the iteration matrix is rank-deficient and very ill-conditioned in numerical iterative process is avoided.

基于逆矩阵和矩阵伴随算子的换算关系，并用1/ω代替|B′(xBx(下标k|，构造出一个新的求解秩亏非线性最小二乘问题的Landweber迭代格式，x(上标δ下标 k+1)=x-ωB'(xBx(上标δ下标 k*B'x(上标δ下标 kf(x-y，从而避免了在迭代过程中由于迭代矩阵的秩亏和病态而产生的不适定现象。

Let X be a real Banach space with strictly convex dual space X(superscript *) and G a bounded, open subset of X. T: DX→2 is a m-accretive operator, C: D→X is bounded operator.

设X是一个实Banach空间，X为其对偶空间，G是X的开、有界子集。T：DX→2是m-增生算子，C：D→X是有界算子。

Letbe a compact metric space, f: X→X a continuous map, and K(X,H a compact metric space consisting of all nonempty compact subsets of X.

设为紧致度量空间， f： X→X连续， K(X，H是 X所有非空紧致子集构成的紧致度量空间。

Thus, should we own 10% of Corporation X with earnings of $10 million in 1980, we would report in our earnings (ignoring relatively minor taxes on intercorporate dividends) either $1 million if X declared the full $10 million in dividends;$500,000 if X paid out 50%, or $5 million, in dividends; or zero if X reinvested all earnings.

最后若是持股比例低于20%，则依照会计原则，投资公司仅能认列被投资公司实际发放的股利部份，至于保留而不发放的部份盈余则不予理会，也因此假若我们持有一家X 公司10%的股份，又假设X公司在1980 年共计赚了1，000万美金，若X公司将盈余全部发放，则我们可认列100万的利益，反之若X公司决定保留全部盈余不予发放，则我们连一毛钱都不能认列。

Results There was a linear trend between logarithmic X and Y, the equation of logarithmic curve was able to be fitted, There was a linear trend between logarithmic Y and X, the equation of exponential curve was able to be fitted, There was a linear trend between logarithmic X and logarithmic Y, the equation of power curve can be fitted. There is a parabola pattern between X and Y, the equation of parabola was able to be fitted.

结果 X取自然对数与Y作散点图有直线趋势，拟合对数曲线方程；Y取自然对数与X作散点图有直线趋势，拟合指数曲线方程；X取自然对数与Y取自然对数作散点图有直线趋势，拟合幂函数曲线方程；原始数据X和Y成抛物线关系，拟合抛物线方程。

Thirdly,we define a equivalence relation Rin the topology space X by the fibrewise function f ,and then we get the fibrewise quotient space X / R,we call it the fibrewise decomposition space of X .And last we discuss the relation between f and the natural mapping.

其三是，通过一个纤维映射f ： X→Y，在B上的纤维拓扑空间X中定义了一个等价关系R，得到X的纤维商空间X / R，称其为X的分解空间，最后也讨论了f与自然投射的关系。

Thence in a southeasterly direction to Corner Point No. CP14 (X = 484 330, Y = 683 415); thence in a. northeasterly direction to Corner Point No. CP15 (X = 484 390, Y = 683 490); thence in a southeasterly direction to Corner Point No. CP16 (X = 484 415, Y = 683 470); thence in a southwesterly direction to Corner Point No. CP17 (X = 484 355, Y = 683 395); thence in a southeasterly direction to Corner Point No. CP18 (X = 484 430, Y = 683 335); thence in a southeasterly direction to Corner Point No. CP1, the point of beginning.

从该点起向东南延伸至隅角点CP14（X = 484 330，Y = 683 415）；从该点起向东北延伸至隅角点CP15（X = 484 390，Y = 683 490）；从该点起向东南延伸至隅角点CP16（X = 484 415，Y = 683 470）；从该点起向西南延伸至隅角点CP17（X = 484 355，Y = 683 395）；从该点起向东南延伸至隅角点CP18（X = 484 430，Y = 683 335）；从该点起向东南延伸至隅角点CP1。

The derivative of a function can be interpreted either as a function whose value at x is equal to the gradient of the tangent line to the graph of y=f at x, or, alternatively, as a function that describes the instantaneous rate of change of y with respect to x at the point x.

一个函数的导数可以理解为一个函数的值无论是在x是等于切线的梯度的y图二F在x，或者，或者，作为一个函数描述瞬时速度y的变化的关于x的点x在f关于x的也可以表示为导数

In addition, the unique optimal approximation solution $\\\\\\\\\\\\\\\\hat X$ to given matrix $X_0 $ in Frobenius norm can be derived by finding the least-norm generalized bisymmetric solution $\\\\\\\\\\\\\\\\widetilde X^\\\\\\\\\\\\\\\\ast$ of the new matrix equation $A\\\\\\\\\\\\\\\\widetilde X B=\\\\\\\\\\\\\\\\widetilde C$, here,$\\\\\\\\\\\\\\\\widetilde X=X-X_0$, and $\\\\\\\\\\\\\\\\widetilde C=C-AX_0B$.

另外，对于给定矩阵X_0的最佳逼近解$\\\\\\\\\\\\\\\\hat X$，可以通过求解新的矩阵方程$A\\\\\\\\\\\\\\\\widetilde X B=\\\\\\\\\\\\\\\\widetilde C$得到，其中$\\\\\\\\\\\\\\\\widetilde X=X-X_0$，$\\\\\\\\\\\\\\\\widetilde C=C-AX_0B$。

A self-converse Mendelsohn packing design of order v, denoted by (v, k,1)-SCMP, is defined to be a triple, where B is a collection of k-circuit of X such that every ordered pair of distinct points of X appears in at most one block of B, and / is a permutation on X such that Here, and whenB=(x0 ,x1,xk-1). The number of blocks in a (v, k, 1 )-SCMP is upperbounded by where 1 if v=l ande =0 , otherwise.

一个阶为v，区组大小为k的自反Mendelsohn填充设计，记为—SCMP，定义为一个有序三元组，其中X为v元点集，B为X的一族循环有序k元组，f为X上的一个置换，它满足如下性质：(1)对任意x，y∈X，x≠y，有序对至多包含在一个区组中；这里区组当且仅当和一个—SCMP所含的区组个数不超过，其中当V(v-1)≡1时，ε=1；否则ε=0。

This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

Cell morphology of bacterial ghost of Pasteurella multocida was observed by scanning electron microscopy and inactivation ratio was estimated by CFU analysi.

扫描电镜观察多杀性巴氏杆菌细菌幽灵和菌落形成单位评价遗传灭活率。