关键词： 计算机   编程优化   数学算法作用  

摘要： 在计算机编程中,合理地运用数学算法所拥有的优势不但可以完好地针对所拥有的问题进行总结分类归纳,还可以将其归纳作为基础从而进行针对性的统一计算,并且能够将非常复杂的问题进行整体的简化并且将其中所拥有的规律体现出来,计算机编程正是因为这项技术进行针对性的将与编程相关的语言整理编辑。所以对计算机编辑工作人员来讲有效地促进数学算法,可以说是有效地提高了计算机编程工作的进程与质量。在此针对我国目前计算机研究的现状进行针对编程方面全面的研究与分析。

关键词： 小学   数学教学   算法多样化  

摘要： 算法多样化是一种载体,是一种态度,是一个过程,它不是教学的最终目的,不能片面追求形式化,所以在算法多样化的基础上应进一步比较、归纳,达到高效的目的,算法不单单是多样,必须要有用。《全日制义务教育课程标准(实验稿)》在教学建议中提出了“提倡计算方法多样化和鼓励解决问题的策略多样化。”在教学的实践中我们积极探索有不少收获,但也有不少困惑。在教学中实施算法多样也出现一些问题,特别是以下几点,值得大家注意并在实践中进一步研究和探索。

关键词： 数学运算   核心素养   高考   算法优化  

摘要： 数学运算能力并非一种孤立的数学能力,而是运算技能与逻辑思维等的有机整合.文章选取2018年浙江省数学高考卷的3个典型考题,浅谈在解决问题的过程中,如何分析运算条件、探究运算方向、选择运算方法、设计运算程序,从而使运算符合算理且合理简洁,即以优化算法为目标,提升学生数学运算核心素养.

关键词： 电力系统   谐波与间谐波检测   数学形态学   改进Prony算法   谐波参数估计  

摘要： 由于传统Prony算法对谐波与间谐波的检测易受噪声影响,为了提高参数估计精度,准确提取谐波和间谐波的频率、幅值和相位,提出了一种基于数学形态学和改进Prony算法的谐波与间谐波参数估计方法。该方法主要思路是先用数学形态学构建形态滤波器去除噪声,可以克服传统Prony算法对噪声敏感的不足;然后再将去噪拟合后的谐波信号进行改进Prony分析。该方法针对原始Prony方法优化了实际阶数和线性参数的求解过程,对比小波消噪求解谐波各参数的方法优化了去噪效果。通过MATLAB对谐波信号进行编程分析,发现该方法在噪声情况下仍能得到较高精度的谐波与间谐波幅值、频率和相位参数估计,验证了该方法的可行性和有效性。

关键词： SYMMETRY (Mathematics)   FRACTIONS   ALGEBRA   ALGORITHMS   MATRICES  

摘要： The paper establishes the invariance of the simplex-module algorithm for expanding real numbers α = (α₁, …, α_d) in multidimensional continued fractions under linear-fractional transformations α′=(α1′…αd1)=U〈α〉 with matrices U from the unimodular group GL_d+1(ℤ). It is shown that the convergents of the transformed collections of numbers α^′ satisfy the same recurrence relation and have the same approximation order. © 2018, Springer Science+Business Media, LLC, part of Springer Nature.

关键词： Data fusion  

摘要： Porcini are a source of popular food products with many beneficial functions and the internal quality of these mushrooms is largely determined by many factors. An additional data fusion strategy based on low-level data fusion for two portions (cap and stipe) and mid-level data fusion for two spectroscopic techniques (UV and FTIR) was developed to discriminate porcini mushrooms from different species and origins. Based on a finally obtained data array, four mathematical algorithms including PLS-DA, k-NN, SVM and RF were comparatively applied to build classification models. Each calibrated model was developed after selecting the best debug parameters and then a test set was used to validate the established model. The results showed that the SVM algorithm based on a GA procedure searching for parameters had the best performance for discriminating different porcini samples with the highest cross-validation, specificity, sensitivity and accuracy of 100.00%. Our study proved the feasibility of two spectroscopic techniques for the discrimination of porcini mushrooms originated from different species and origins. This proposed method can be used as an alternative strategy for the quality detection of porcini mushrooms.

关键词： 数学算法   计算机编程优化   分析  

摘要： 随着计算机信息技术的不断更迭,计算机编程方式始终处于动态的变化之中,如何优化计算机编程方式已经成为了当下计算机行业的一大要务。作为高中数学课程中的重要内容,我们在简化数学算法的过程中能找到一定的简化规律,从而将其应用至计算机编程优化当中。本文以高中生的立场对数学算法对计算机编程优化进行了分析。

关键词： algorithms   uniformization   implicit function   coordinate axes   polyhedrons   plane curve   Algebra   Change of coordinates   Newton  

摘要： For finding global approximate solutions to an algebraic equation in n unknowns, the Hadamard open polygon for the case n = 1 and Hadamard polyhedron for the case n = 2 are used. The solutions thus found are transformed to the coordinate space by a translation (for n = 1) and by a change of coordinates that uses the curve uniformization (for n = 2). Next, algorithms for the local solution of the algebraic equation in the vicinity of its singular (critical) point for obtaining asymptotic expansions of one-dimensional and two-dimensional branches are presented for n = 2 and n = 3. Using the Newton polygon (for n = 2), the Newton polyhedron (for n = 3), and power transformations, this problem is reduced to situations similar to those occurring in the implicit function theorem. In particular, the local analysis of solutions to the equation in three unknowns leads to the uniformization problem of a plane curve and its transformation to the coordinate axis. Then, an asymptotic expansion of a part of the surface under examination can be obtained in the vicinity of this axis. Examples of such calculations are presented.

关键词： Two-sided assembly line balancing   Mixed-models   Underground workstations   Ant colony optimization   Response surface methodology   MILP  

摘要： Mixed-model assembly lines allow the production of different product variants in mass quantities on the same assembly line. In studies addressing mixed-model assembly with two-sided lines, assembly line (work)stations are classified as left-side or right-side stations depending on the operation side to which they are allocated. However, underground stations are also utilized in industry to perform tasks that need to be done underneath the product being assembled on the line. This paper introduces and mathematically formulates a mixed-model, two-sided assembly line balancing problem considering underground stations. The precedence relationships between tasks being performed in the three types of stations are defined and considered in the model. A numerical example is solved in GAMS (with CPLEX solver) and the detailed balancing solution is provided. A new ant colony optimization algorithm, in which the parameters are optimized using response surface methodology, is also developed to solve real-world problems. A total of 78 test problems are derived from the literature and their lower bounds are calculated to test the performance of the ACO algorithm. ACO finds optimum solutions for the majority of small and medium-sized test problems. In comparing the ACO results to the lower bounds for the large-sized problems, ACO finds near-optimum solutions in majority of the test cases.

关键词： 离散数学   算法设计  

ISBN: (数字)9787564365073 ISBN: (纸本)9787564365073

摘要： 本书主要讲述了数理逻辑，集合与关系、图论、代数系统等内容，分为数理逻辑、图、关系、函数与集合、树、代数系统、递推方程的求解等七个章节。“离散数学”课程本身的理论性较强，通过实验实践内容的训练，可以突出逻辑性思维训练的特征，目的是提高学生学习的兴趣及实际动手的能力。