论文标题
关于在计算机科学学士学位课程中研究$ n $二维的布尔立方体
About the Study of the $n$-dimensional Boolean Cube in the Bachelor's Programs in Computer Science
论文作者
论文摘要
在这里,我们提出了对布尔立方体更深入研究的论点,这是最重要的离散结构之一。该文章包含一个案例研究,该案例研究了如何在80多种不同的来源中包括布尔立方体并解释了布尔立方体。但是,缺乏布尔立方体上有组织的材料。我们研究并展示了为什么布尔立方体的主题应该在离散结构的课程中进行研究,这是计算机科学课程的基本部分。指出了掌握这种知识和编程技能的好处。开发和讨论了有关$ n $维布尔立方体(包括选定的练习,他们的答案,提示或解决方案)的示例讲座。它引入,概括并关联了离散数学和外部不同主题的许多概念。因此,讲师在教授这些学科时可以使用样本讲座。这样,所有这些概念都变得更容易理解,适用和对学生有用。可以以演讲的形式教授讲座,也可以授予学生“在线自学”,为了编写家庭作业或开发与主题相关的课程项目等。所有支持资源的课程项目都可以免费使用,请在\ cite {vb_lect}中免费使用。
Here we present our arguments for a more in-depth study of the Boolean cube, which is one of the most important discrete structures. The article contains a case study that analyses how the Boolean cube has been included and explained in more than 80 different sources. However, organized material on the Boolean cube is lacking. We examine and show why the topic of the Boolean cube deserves to be studied in the course on Discrete Structures -- a basic part of the Computer Science curriculum. The benefits of mastering such knowledge and programming skills are pointed out. A sample lecture on the $n$-dimensional Boolean cube (including selected exercises, their answers, hints or solutions) is developed and discussed. It introduces, generalizes and relates many concepts from different subjects in the area of Discrete Mathematics and outside it. So the lecturers can use the sample lecture when teaching those subjects. In this way, all these concepts become more understandable, applicable and useful to the students. The lecture can be taught in a form of presentation or given to the students for "Online self-learning", in order to write homework, or develop a course project related to the topic, etc. All supporting resources to the lecture are available for free use at \cite{VB_Lect}.