向量布尔函数相关函数的性质分析

文章研究向量布尔函数互相关函数的性质以及利用向量Bent函数构造Bent函数。首先,利用WalshHadamard变换以及互相关函数的性质研究向量布尔函数的互相关函数与Walsh谱之间的关系,且进一步推导出任意4个向量布尔函数的互相关函数之间的关系。其次,给出向量布尔函数的平方和指标和绝对值指标的定义,并进一步推导出平方和指标的上界以及利用分类讨论法得到其达到上界的条件。最后,利用向量布尔函数绝对值指标的性质以及Walsh-Hadamard变换,给出由向量Bent函数构造Bent函数的方法。     

函数教学应踩准三个着力点

函数是高中数学教学的一条主线,因其高度的抽象性,一直是高中教学的难点,为了真正把握函数的教学,必须在三个方面下功夫:必须使学生深刻理解并把握函数概念的本质;必须使学生正确理解和刻画函数的图象;必须使学生深刻理解函数的性质。     

分段函数教学探究

分段函数是一种特殊的函数，是指同一个函数在不同的定义域区间内表达式不同的函数。对于分段函数的一系列性质本质上按常规函数处理就可以了。     

对函数方程的吹毛求疵

函数方程相关的函数问题,一直是函数知识中较难的学习内容,尤其更以函数方程确定的抽象函数为甚． 定义：含有未知函数的等式称为函数方程．解函数方程的问题,就是求能使函数方程成立的一个函数或一类函数的集合．     

特殊函数图形的MATLAB绘制

介绍了用MATLAB的系统操作函数绘制Γ函数、勒让德函数、贝塞尔函数、球贝塞尔函数图形的方法.     

抽象函数问题的思维模式

函数是每年高考的热点,而抽象函数性质的应用又是函数的难点之一。函数是指没有给出具体的函数解析式或函数图像,但给出了函数满足的一部分性质或运算法则。此类函数试题即能全面考查学生对函数概念的理解及性质的代数推理和论证能力,又能综合考查学生对数学符号语言的理解和接受能力以及对一般和特殊的认识。所以备受命题者的青睐,相信在以后的高考试题中也会不断出现。我们有必要在这一方面做些初步的研究。     

值得关注的四类函数解题策略

函数是高考命题的热点。抽象函数、自定义函数、绝对值函数和“嵌套”函数是高考中的“常客”,其综合性强,难度较大,具有一定的区分度。文章结合四个例题,归纳总结这四类函数的解题策略,以帮助学生掌握这四类函数的解题策略,使学生在高考中能够从容应对。     

关于初等函数的几点注记

讨论了基本初等函数的判定以及初等函数的构成和初等函数的判断,对现行教材中初等函数的定义提出了商讨意见。     

关于单调函数生成的复合函数的单调性

本文根据复合函数满足结合律，得到了由有限个单调函数生成的复合函数的单调性，若中间函数有奇数个单调减少函数，则复合所得的函数是单调减少函数，若中间函数有偶数人单调减少函数，则复合所得的函数是单调增加函数。     

关于初等函数的几点注记

讨论了基本初等函数的判定以及初等函数的构成和初等函数的判断,对现行教材中初等函数的定义提出了商讨意见。     

“短语”与“分句”

在现代英语语法中,语法学家从逻辑意义的角度将“分句”分为“限定分句”和“非限定分句”,这样“分句”的下住概念“非限定分句”的所指外延包括传统语法的“词和词组”等结构;从句法功能上讲。“短语”可由一个“词素”或几个单词构成的“词组”或“分句”来充当。因此,“短语”的所指外廷涵盖了从句法角度定义的“分句”的外延,“短语”是小于“句子”但大于或等于“分句”的语法单位,即“句子”〉“短语”≥“分句”。     

陈毅元帅战争诗词简论

陈毅元帅的战争诗词是20世纪生动形象的革命战争史，又是壮美深沉的民族精英心灵史：在审美上既重风骨，又富意境；在形式上古近体并重，且创作颇丰。陈毅其人品性高洁，风骨凛然，其诗亦然，是20世纪传统诗词当之无愧的大家。     

试述后现代精神观照下师生关系的重新审视

后现代主要并非指的是一种时态,而是一种思想态度和意识,以及一种崭新的思考问题的方法。师生关系是一种特殊的社会关系,是教育的全部蕴念所在。根据后现代基本精神,本文力图重新审视教育过程中目前已被广泛认可的师生关系,从一种全面的、多元化、多层次的视角反思传统的师生关系,从而对师生关系问题形成新的有益的认识,即师生关系应从二元对立的主客关系转变为相互作用的共生关系,由单向的知识传授关系转变为双向的平等对话关系,从理性保障的师生关系转变为情感保障的师生关系。     

The Thesis,the Pendulum and the Battlefield

The debate over the design thesis is often entangled in the dialectics of the practical and the theoretical. Whether the argument is waged and weighted in favour of a practical emphasis or a theoretical emphasis, or more insidious, a judicious balance between the two, what is inevitably assumed in the debate is the possibility of drawing and/or locating a dividing line between the practical and the theoretical. This article explores the inherent contradictions of this dichotomy, that make the traditional definition of thesis – a theorem or a hypothesis regarding the nature of the phenomenon under investigation – a problematic definition for architecture. Inasmuch as architecture is, in each iteration, a cultural construct, it is always and already the formal expression or embodiment of a theory. To avoid the tautology of positing a theorem about a theorem or a hypothesis regarding a hypothesis, the design thesis may be defined, not as a theorem or a hypothesis, but as an analytical posture assumed or a critical stance taken on the theorem that is or should be the phenomenon under investigation. In this case, the question to ask at the outset of a design thesis is not what patent ‘theory’ should the proposed building speak of, but what arcane theory does its type historically hide under the rubrics of ‘function’ or ‘practical’ requirements? It must begin, in other words, by de‐familiarising the familiar.     

暨华中学办学理念的提炼与实践研究报告

所谓办学理念,是指人们对办学的基本信念,指人们对自己学校的定性、定位及职能的认识.办学理念对办好一所学校至关重要,"开发潜能,发展个性"乃是暨华中学的办学理念.对校外,它是一面彰显办学特色的旗帜;对校内,它是一个统一思想、引领行动的纲领.文章拟就办学理念作初步的探讨,并在此基础上,结合暨华中学办学实践,针对办学实践中的问题,交流一点办学理念的探索体会.     

连环画的画面特点浅析

连环画的画面特点包括四方面的内容:画面具有连续性的特点,画面与画面之间是连续的、不可分割的;画面具有故事性的特点,画面内容以表达故事为目的;画面内容充实、构图完整,具有完整性的特点;连环画画面采用写实性的表现手法,在内容与形式上无论是纯幻想的空间还是现实生活场景都呈现出写实性的特点。     

科学定位，凸显特色，创建品牌——关于办好地方本科院校学报的思考

地方本科院校学报具有学术窗口、学院名片、学人摇篮、服务平台等功能。对地方本科院校学报进行科学的定位,首先要结合学校定位,其次要着眼地域定位,寻求错位发展,尤其要处理好学术性与应用性的关系、内向性与开放性的关系、科学性与人文性的关系。为提高学报的办刊水平与质量,办出特色,地方本科院校学报要坚持走特色化与品牌化道路,在办刊质量、学术品位、特色栏目创设、编辑素质、装帧设计上下功夫。     

单参数平均、对数平均和指数平均之间的一个精确的双向不等式(英文)

利用初等微分学比较了单参数平均与对数和指数平均的几何组合,发现了使得双向不等式Jp（a,b）1/2-3)/2]和所有a,b>0且a≠b成立的p的最大值和q的最小值,其中Jp（a,b）,L（a,b）和I（a,b）分别表示a与b的p-次单参数平均、对数平均和指数平均.     

Overcoming problems in doctoral writing through the use of visualisations: telling our stories

Doctoral students experience many challenges on the long journey towards completion. Common problems include: synthesising data, working at a conceptual level, clarifying the relationship of the parts of the thesis to the whole, finding a voice and completing a viva successfully. Few authors have addressed the use of visualisations to meet these challenges. This paper focuses on the use of visualisations in doctoral writing. It presents narratives about seven ways that visualisations can help students to make breakthroughs in their writing, namely, as an organiser of the relationships of the parts of the thesis to the whole, a trigger for peer discourse, a vehicle for conceptual work, a metaphor to express key concepts, a trigger for professional development, a visual aid for the viva and as a prompt for freedrawing and freewriting.     

BEING A LEARNER: A VIRTUE FOR THE 21ST CENTURY

ABSTRACT:  Lifelong learning is something which one does for oneself that no one else can do for one: it is a public and personal human activity, rather than private or individualistic. One of the features of the education system is the paucity of a language for learning as process and participative experience. Personalised learning requires a sense of the worthwhileness of 'being a learner'– a virtue in the 21st century. A sense of one's own worth as a person is essential to understanding one's identity as a learner. Research suggests the human capacity to learn can be understood as a form of consciousness which is characterised by particular values, attitudes and dispositions, with a lateral and a temporal connectivity. This 'consciousness' has several dimensions which are all related to becoming a person, with a learning identity. They also enable the learner to become aware of and appropriate what is of worth and map onto the sorts of core values that learning communities espouse. Awareness of self and of one's own worth as a person is a necessary condition for 'becoming a learner' and for identifying and engaging with 'what is of worth'. Furthermore, a sense of self as a learner is formed in relationship, and understood as one learns to tell one's own story, as a participant in the conversation of the learning community. Character is the way in which we refer to that quality of personhood in which there is rooted the capacity to change and learn over time.