剩余谱

Another part of our work begins with definition of multioutput generalized bent functions. We show their spectral characteristics and give equivalence definition using generalized first order Chrestenson cyclic spectrum. Also we calculate rate of accordance between multioutput generalized bent functions and multioutput m-valued affine functions. Then we define multioutput m-valued perfect nonlinear functions and show relationship between them and multioutput generalized bent functions. Finally we give two ways of constructions of multioutput generalized bent functions.

第三章中首先给出了剩余类环上的多输出广义Bent函数的定义，得到了多输出广义Bent函数的广义一阶Chrestenson谱特征，然后计算了多输出广义Bent函数与多输出m值仿射函数的符合率；接着定义了多输出m值完全非线性函数，讨论了多输出m值完全非线性函数与多输出广义Bent函数之间的关系；最后给出了两种构造多输出广义Bent函数的方法。

Infinite dimensional Hamiltonian operator;semigroups of linear operator;spectrum;residual spectrum;continuous spectrum

中文主题词：无穷维Hamilton算子；线性算子半群；谱；剩余谱；连续谱

In this paper,in residue class ring Z_m,the concept of the strict avalanche criterion of order k of m-valued logical functions is presented.

给出了剩余类环Zm上逻辑函数的k阶严格雪崩准则的概念，用概率方法证明了m值逻辑函数满足高阶严格雪崩准则时一定满足低阶严格雪崩准则，并借助Chrestenson谱给出了m值逻辑函数满足k阶严格雪崩准则的一个充分必要条件。

In this paper,the author give the spectra characterizations of nonsigular feedback polynomials and local permutation polynomial s over finite fields and residue class rings,and simplify existing results over prime fields,and provide a new proof method for the spectra characterization of correlation immune functions over finite fields and residue class rings.

本文给出了有限域和剩余类环上非线性反馈移存器的非奇异反馈多项式及局部置换多项式的谱刻划，简化了素域上的现有结果，并对有限域上和剩余类环上相关免疫函数的谱特征给出了一个新的证明方法。

At last, making use of load stress chart of old steel bridge, and looking facture criterion as ultimate state equation to carry through reliability analysis. Adopting Probabilistic fracture mechanics to estimate remaining fatigue life of old steel bridge under given reliability.

最后结合我国老钢桥的载荷应力谱，以断裂判据为极限状态方程进行可靠性分析，并利用概率断裂力学方法对给定可靠度下老钢桥的剩余疲劳寿命进行预测。

The reaction was stirred for the given time (the reaction was followed by TLC) after which the methanol was removed and the residual ionic liquid was extracted with diethyl ether (3 15 mL).

反应搅拌为在给定的时间（反应，其次是薄层色谱法）后，其中甲醇被删除，剩余的离子液体中提取二乙酯基醚。

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。