A Research On The Chinese Vocabulary Depth Based On Mathematical Model

As the research object, Chinese vocabulary is studied. The concept of Chinesevocabulary depth and its operational definition are put forward based on the analysisof the characteristics of Chinese vocabulary and the similarities and differencesbetween Chinese vocabulary and the other languages vocabulary. And then, Chinesevocabulary is studied from the aspects of pronunciation, shape, stroke, semantic,collocation ability and frequency. With the aid of the basic theory and methods ofmathematical modeling, we discuss the quantitative description on the Chinesevocabulary depth. A structural mathematical model is built. And an algorithm tosolve this model is put forward. On this basis, the cluster and reclassification of thedepth of415action verbs, from the new HSK vocabulary, are obtained. Features ofthe vocabulary of every level are quite obvious. It can be easily to measure andevaluate. And it has reference significance to both the compilation of teachingmaterials and selection of teaching content. Also, it can provide the reference for thenew HSK vocabulary.This paper is divided into four parts:The first part is the introduction. It explains the cause of the research andintroduces the research background in this part. Moreover, the current researchesboth at home and abroad are summarized. And the value and significance of thisresearch are also stated.In the second part, we analyzed the main factors, which may be influence theChinese vocabulary depth, from four major aspects such as the pronunciation, shapeand strokes, meaning and collocation and frequency. The structural mathematicalmodel of Chinese vocabulary depth is built. In addition, an algorithm to solve themodel is put forward.In the third part, by using the method of the K-means clustering, the cluster andreclassification of the depth of415action verbs, from the new HSK vocabulary, areobtained. And we gave some interpretations and explanations about the resultsobtained above.The last part is conclusion. By using concise language, we summarized thecontent of the paper. And the deficiencies of the paper are pointed out. The futureresearch ideas are put forward also.