calculus of finite differences

calculus of finite differences的基本解释

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差分演算

与calculus of finite differences相关的网络例句 [注：此内容来源于网络，仅供参考]

The main contributions of the second part of this dissertation are focused on the cryptographic properties of logical functions over finite field, with the help of the properties of trace functions, and that of p-polynomials, as well as the permutation theory over finite field: The new definition of Chrestenson linear spectrum is given and the relation between the new Chrestenson linear spectrum and the Chrestenson cyclic spectrum is presented, followed by the inverse formula of logical function over finite field; The distribution for linear structures of the logical functions over finite field is discussed and the complete construction of logical functions taking on all vectors as linear structures is suggested, which leads to the conception of the extended affine functions over finite field, whose cryptographic properties is similar to that of the affine functions over field GF (2) and prime field F〓; The relationship between the degeneration of logical functions and the linear structures, the degeneration of logical functions and the support of Chrestenson spectrum, as well as the relation between the nonlinearity and the linear structures are discussed; Using the relation of the logical functions over finite field and the vector logical functions over its prime field, we reveal the relationship between the perfect nonlinear functions over finite field and the vector generalized Bent functions over its prime field; The existence or not of the perfect nonlinear functions with any variables over any finite fields is offered, and some methods are proposed to construct the perfect nonlinear functions by using the balanced p-polynomials over finite field.

重新定义了有限域上逻辑函数的Chrestenson线性谱，考察了新定义的Chrestenson线性谱和原来的Chrestenson循环谱的关系，并利用一组对偶基给出了有限域上逻辑函数的反演公式；给出了有限域上随机变量联合分布的分解式，并利用随机变量联合分布的分解式对有限域上逻辑函数的密码性质进行了研究；给出了有限域上逻辑函数与相应素域上向量逻辑函数的关系，探讨了它们之间密码性质的联系，如平衡性，相关免疫性，扩散性，线性结构以及非线性度等；讨论了有限域上逻辑函数各类线性结构之间的关系，并给出了任意点都是线性结构的逻辑函数的全部构造，由此引出了有限域上的"泛仿射函数"的概念；考察了有限域上逻辑函数的退化性与线性结构的关系、退化性与Chrestenson谱支集的关系；给出了有限域逻辑函数非线性度的定义，利用有限域上逻辑函数的非线性度与相应素域上向量逻辑函数非线性度的关系，考察了有限域上逻辑函数的非线性度与线性结构的关系；利用有限域上逻辑函数与相应素域上向量逻辑函数的关系，揭示了有限域上的广义Bent函数与相应素域上的广义Bent函数的关系，以及有限域上的完全非线性函数与相应素域上向量广义Bent函数之间的关系；给出了任意有限域上任意n元完全非线性函数存在性与否的完整证明，并利用有限域上平衡的p-多项式的性质给出了有限域上完全非线性函数的一些基本构造方法。

They can find more values on their professions for a long period of time.（2）University counselors' professional identity is increasing by age, and the differences are significant.（3）The degree of masters' professional identity is a little higher than that of students of five-years term college and undergraduates, and also the differences are significant.（4）The differences of university counselors' professional identity on work age are significant. Who work for 5 to 10 years involves into Job burnout easily.（5）The differences of university counselors' professional identity on monthly profit are significant. The counselor who owns more monthly profit may increases the degree of professional identity.（6）University counselors' professional identity is increasing by administrative level, and the differences are significant.（7）University counselors' professional identity is increasing by professional title, too. The differences are significant.（8）The differences of university counselors' professional identity on school types are significant. The professional consciousness of counselors from Key University is the highest, and General College, voluntary school, junior college follows. There are subjective and objective factors which have impacts on the identity.

与男性辅导员相比，女性辅导员更喜爱辅导员职业，认为从事该职业体现自我价值，愿意长期从事辅导员工作；高校辅导员职业认同度随着年龄的增加而提高；30岁以下的女性比男性辅导员职业认同程度低，而31--45岁的女性则比男性高，45岁以上男女无差异；不同学历水平的高校辅导员在职业认同度上不存在显著差异，相对于大专、本科学历的高校辅导员而言，具有硕士研究生学历的高校辅导员职业认同度略高；不同工龄的辅导员在职业认同上存在差异，工作了5-10年的辅导员易产生职业倦怠，职业认同程度低；不同月收入水平的高校辅导员在职业认同度上存在显著差异，月收入越多，职业认同程度越高；不同行政级别高校辅导员的职业认同存在显著差异，随着行政级别的提高，高校辅导员的职业认同度逐步提高；不同职称的高校辅导员在职业认同上存在显著差异，辅导员职称越高，其职业认同程度提升；不同学校类型的辅导员对职业的认同程度存在显著差异，省重点高校的辅导员职业认同度最高，其他依次为省普通高校、省民办高校、省大专院校。

Using differential calculus knowledge to testify inequality, Calculus of higher mathematics is the core and calculus method of higher mathematics is typical of the whole mathematical method, the method is introduced for calculus ideas to solve the problem of finding an inequation, to make way for obtaining inequalities can be simple, the application of differential mid-value theorem and Taylor formula illustrate some of the inequality proof method.

运用微分学知识证明不等式；微积分是高等数学的核心，微积分思想方法是高等数学乃至整个数学的典型方法，微积分思想方法的引入为解决不等式证明的难题找到了突破，用来解不等式可使解题思路变得简单，文章应用微分中值定理及泰勒公式举例说明了部分不等式的证明方法。

与calculus of finite differences相关的网络解释 [注：此内容来源于网络，仅供参考]

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