关键词： 算理算法   运算能力   数学素养  

摘要： 数学素养是现代社会每一个公民应该具备的基本素养,运算能力是数学学科的核心素养之一。提高学生的运算能力,关键是要科学地处理好算理和算法的关系,寻求算理与算法的最佳平衡点。重算理轻算法,只会纸上谈兵频出错;轻算理重算法,则使学生计算缺乏支撑,不利于学生思维发展,只有重算理明算法,才能提高学生运算能力,从而提升学生的数学素养。

关键词： 高中数学   算法思想   应用探究  

摘要： 在科学技术迅猛发展的今天,信息技术和互联网技术被广泛应用于高中数学教学的领域中。无论是信息技术还是互联网技术,从本质上来讲核心思想核心内容都是算法,因此教师可从算法的角度来深入剖析高中数学教学。

关键词： 高中   数学   新课程   算法教学   调查分析  

摘要： 教育创新会非常有助于学生取得良好学习效果, 因此很多人都在关注这个问题。在高中,数学课程改革是最为 重要的,因为学习数学,学生可以提高他们的思维和逻辑;学习 算法,可以帮助学生更快地提高他们对数学知识的掌握,改善 并解决许多问题。在本文中,我们对高中新数学课程中教学算 法的现状进行了简要的分析和介绍,提出了策略和建议。

关键词： 小学数学   比较思想   算法教学   应用   研究  

摘要： 小学生处在生长发育期,不可能在一夜之间形成较高的抽象思维能力与逻辑思维能力,在数学学习上存在着一定的难度。因此,教师应当认真研究小学生的思维方式,选择适合学生知识结构、认知特点、心理特征的比较形式,引导学生掌握比较思想,最终提高学生的数学素质。本文将研究如何在小学数学算法教学中应用比较思想。

关键词： Grobner-Shirshov basis   Poisson algebra   Word problem  

摘要： We develop a new theory of Grobner Shirshov bases for Poisson algebras, which requires to introduce several nontrivial new techniques. As applications, we solve the word problem for finitely presented Poisson algebras in the case of a single relation with a leading monomial of Lie type and in the case when enough relations involve the Poisson bracket of generators. (C) 2019 Elsevier Inc. All rights reserved.

关键词： 小学数学   整数乘法   算理   算法  

摘要： 在小学数学教学中,“数的运算”在整个小学阶段的学习内容中占有相当大的比重,数的运算是人们在日常生活中应用最多的数学知识,是小学数学教学的基本内容,培养小学生的计算能力也一直是小学数学教学的主要目标之一。教师在数学教学中深入了解整数乘法算理与算法的作用,学生能明确整数乘法算理与算法,使我们的整数乘法计算教学更加科学有效。

关键词： 数学课堂   算法优化与多样化   个性发展  

摘要： 算法是数学的重要组成部分,也是数学学习的重难点之一,而在数学教学中进行算法教学的改革,虽然过程艰辛,但是益处颇多。算法改革的具体内容包括算法的多样化与优化两个层面,这对于促进学生的个性发展大有裨益,需要得到教师的鼓励和提倡。以下,笔者将结合自身教学的多年经验,就数学课上如何多样化与优化算法简要谈谈自己的看法与观点。

关键词： Ocean color remote sensing  

摘要： Two regional bio-optical algorithms are combined to retrieve the Chlorophyll-a (Chl-a) concentration in the Black Sea. The first is a band-ratio algorithm that computes Chl-a as a function of the slope of Remote Sensing Reflectance (R-RS) values at two wavelengths using a polynomial regression that captures the overall data trend, enhancing extrapolation results. The second algorithm is a Multilayer Perceptron neural net based on Rgs values at three individual wavelengths that features interpolation capabilities helpful to fit data non-linearities. A new merging scheme is then designed to benefit from the complementarity of the two approaches. Remote sensing data employed to demonstrate the merging of regional results for the Black Sea are those acquired by the Ocean and Land Color Instrument on board Sentinel-3A to acknowledge the need for data products of higher accuracy within the long-term Copernicus program.

关键词： OpenMP   task parallelism   linear algebra algorithms   NUMA   energy efficiency  

摘要： In this article, we analyze performance and energy consumption of five OpenMP runtime systems over a non-uniform memory access (NUMA) platform. We also selected three CPU-level optimizations or techniques to evaluate their impact on the runtime systems: processors features Turbo Boost and C-States, and CPU Dynamic Voltage and Frequency Scaling through Linux CPUFreq governors. We present an experimental study to characterize OpenMP runtime systems on the three main kernels in dense linear algebra algorithms (Cholesky, LU, and QR) in terms of performance and energy consumption. Our experimental results suggest that OpenMP runtime systems can be considered as a new energy leverage, and Turbo Boost, as well as C-States, impacted significantly performance and energy. CPUFreq governors had more impact with Turbo Boost disabled, since both optimizations reduced performance due to CPU thermal limits. An LU factorization with concurrent-write extension from libKOMP achieved up to 63% of performance gain and 29% of energy decrease over original PLASMA algorithm using GNU C compiler (GCC) libGOMP runtime.

关键词： Port industrial zone   Spatial layout   Multi-objective programming   Systematic layout planning   Simulated annealing algorithm  

摘要： The spatial layout of the port industrial zone problem is a core issue in port industrial zone planning, and it directly affects the actual effects of the port industrial zone. Firstly, considering that existing port industrial zone planning lacks in methods of quantitative analysis, this paper constructs a Mathematical model based on multi-objective programming, and the optimal scale of various industries of port industrial zone is obtained. Secondly, the paper takes the maximum dependence degree of port as objective function by using systematic layout planning tools, and solves the spatial layout of the port industrial zone. Finally, by taking Binhai Port industrial zone of China as an example, a port industrial zone spatial layout model is constructed and solved through simulated annealing algorithm. The optimal spatial layout program for Binhai Port industrial zone of China was obtained, which verifies the feasibility and accuracy of the model.