指数定理

Difference equations; Green's function; Fixed point theorem; Fixed point index; Positive solutions; Cone

基础科学，数学，数学分析差分方程； Green函数；不动点定理；不动点指数；正解；锥

The notion of sample relative entropy , as a random measure of the deviation of a sequence of nonnegative continuous random sequence from independent random sequence with exponential distribution, is introduced.

利用样本相对熵作为一般非负连续型随机变量序列相对于服从指数分布的独立但不同分布随机变量序列偏差的一种随机性度量，运用鞅理论及分析方法，研究了一类随机变量序列加权和的用不等式表示的极限定理，即强偏差定

In chapter six"The problem of sampling and interpolating signal in noise", According to generalized sampling theorem one, An exponential weighting algorithms is proposed and error performance is analyzed, the results are development and complement of relative literature.

第六章"噪声中信号的内插恢复问题"中，针对广义采样定理一，提出了指数加权恢复算法，并对其性能进行了分析和计算，对有关文献中的结论作了补充和发展。

Tolksdorf [62] to prove the weak solutions of equation (2) are of C1,a if fand u are bounded with the help of some results in [40]. And by Morse iteration,we prove that the solutions are of C1,a even if f is of critical growth.

Tolksdor[62]的方法以及[40]中的一些定理证明了方程(1)弱解的C1，a的正则性；当f满足临界指数增长时，应用Morse迭代，我们首先证明了解的有界性，然后证明方程(1)的解也有C1，a的正则性。

To overcome the disadvantage of ordered reduction which is based on the discernibility matrix as the time complexity is increscent exponential along with the size of decision tables,the judgment theorem with respect to distribution reduction is obtained,and a heuristic algorithm is proposed.

在不一致决策表中，以知识的包含度为基础，将一致和不一致对象分开，定义了一种新的属性重要性；为克服区分矩阵法时间复杂度随系统大小增加而指数增长的缺陷，给出分布约简的数学判定定理，提出了一种求分布约简的启发式方法。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。