In recent years, a growing number of math contents are available on the Web. When conventional search engines deal with mathematical expressions, the two-dimen- sion-al structure of mathematical expressions is lost, w...In recent years, a growing number of math contents are available on the Web. When conventional search engines deal with mathematical expressions, the two-dimen- sion-al structure of mathematical expressions is lost, which results in a low performance of math retrieval. While the retrieval technology specifically designed for mathematical expressions is not mature currently. Aiming at these problems, an improved mathematical expression indexing and matching method was proposed through employing full text index method to deal with the two-dimensional structure of mathematical expressions. Firstly, through the fully consideration of LaTeX formulae’ characteristics, a feature representation method of mathematical expressions and a clustering method of feature keywords were put forward. Then, an improved inter-relevant successive trees index model was applied to the construction of the mathematical expression index, in which the cluster algorithm of mathematical expression features was employed to solve the problem of the quantity growth of the trees in processing large amount of formulae. Finally, the matching algorithms of mathematical expressions were given which provide four query modes called exact matching, compatible matching, sub-expression matching and fuzzy matching. In browser/server mode, 110027 formulae were used as experimental samples. The index file size was 29.02 Mb. The average time of retrieval was 1.092 seconds. The experimental result shows the effectiveness of the method.展开更多
Not long after the establishment of the People's Republic of China in 1949 and the founding of the CAS, when the whole country was still suffering from the wounds of the three-year civil war, a preparatory off... Not long after the establishment of the People's Republic of China in 1949 and the founding of the CAS, when the whole country was still suffering from the wounds of the three-year civil war, a preparatory office for founding the new Institute of Mathematics opened in June 1950. Theoffice was located at No.3 Wenjin Street, in downtown Beiiing.……展开更多
Programming teaching plays an important role in improving students’computational thinking and practice.However,due to the fact that programming has not been included in the entrance examination,the rate of having pro...Programming teaching plays an important role in improving students’computational thinking and practice.However,due to the fact that programming has not been included in the entrance examination,the rate of having programming lessons in primary and secondary schools is low.At present,there is still a lack of empirical research on how programming affects the performance of other subjects.This paper studies the influence of programming on students’mathematics achievement for the students of an experimental middle school.The results show that programming has a significant impact on students’math scores,and the students who had not learned code were more likely to show a significant decline in math scores.In addition,learning programming makes it easier for middle-grade students to improve their math scores.展开更多
“What is a successful math teacher?”is only a question but the answer to this relatively simple question is the main purpose of this paper.Namely,I will mention teachers’roles and try to give the answer of question...“What is a successful math teacher?”is only a question but the answer to this relatively simple question is the main purpose of this paper.Namely,I will mention teachers’roles and try to give the answer of question“What kind of a teacher do students like?”Cleary,it is much simpler to mention which characteristics a successful mathematics teacher must not have or use.In the end,I would like to address every“successful teacher”with some motivation words.展开更多
Highlights This study examines the China-England Mathematics Teacher Exchange program to identify and evaluate the differences in Chinese approach to mathematics education.There are numerous differences in terms of na...Highlights This study examines the China-England Mathematics Teacher Exchange program to identify and evaluate the differences in Chinese approach to mathematics education.There are numerous differences in terms of national mathematics curricula,organization of mathematics teaching,and evaluation objectives and methods due to different educational and learningcultures.China has made great achievements in mathematics education and student academic performance but has much to learn from England.展开更多
The process of turning forest area into land is known as deforestation or forest degradation. Reforestation as a fraction of deforestation is extremely low. For improved qualitative and quantitative classification, we...The process of turning forest area into land is known as deforestation or forest degradation. Reforestation as a fraction of deforestation is extremely low. For improved qualitative and quantitative classification, we used Sentinel-1 dataset of State of Para, Brazil to precisely and closely monitor deforestation between June 2019 and June 2023. This research aimed to find out suitable model for classification called Satellite Imaging analysis by Transpose deep neural transformation network (SIT-net) using mathematical model based on Band math approach to classify deforestation applying transpose deep neural network. The main advantage of proposed model is easy to handle SAR images. The study concludes that SAR satellite gives high-resolution images to improve deforestation monitoring and proposed model takes less computational time compared to other techniques.展开更多
目的研究腺病毒携带Math1-EGFP基因经完整圆窗膜途径及鼓阶打孔途径导入耳蜗后对听功能和转导效率的影响,为内耳基因治疗提供实验基础和理论依据。方法健康成年白色红目豚鼠40只,雌雄不限,体重250～300g。随机分成四组,完整圆窗膜组12只...目的研究腺病毒携带Math1-EGFP基因经完整圆窗膜途径及鼓阶打孔途径导入耳蜗后对听功能和转导效率的影响,为内耳基因治疗提供实验基础和理论依据。方法健康成年白色红目豚鼠40只,雌雄不限,体重250～300g。随机分成四组,完整圆窗膜组12只,鼓阶打孔组12只,各组分别设对照8只。实验组(24只)导入重组腺病毒携带的Math1基因及增强型绿色荧光蛋白基因(enhanced green fluorescent protein,EGFP),对照组(16只)导入人工外淋巴液,所有动物均以左耳作为导入耳。术前及术后分别行听性脑干反应(ABR)检查。分别于术后5天、14天取双侧耳蜗标本做基底膜铺片观察基因表达情况。结果完整圆窗膜组导入耳ABR阈值,术后5天各频率与术前比较无显著性差异(P>0.05);鼓阶打孔组导入耳ABR阈值,术后5天在2kHz、4kHz与术前比较无差异(P>0.05),8kHz较术前增高(P<0.05),16kHz、20kHz较术前明显增高(P<0.01),术后14天在16kHz、20kHz较术后5天时明显好转(P<0.01),但较术前仍有增高(P<0.05)。转导成功率鼓阶打孔组为91.6%,优于完整圆窗膜组的50%。两种转导途径对目的基因在耳蜗内的表达部位和表达时间没有显著影响。结论完整圆窗膜途径及鼓阶打孔途径在转导成功率及听功能保护方面各有优劣。完整圆窗膜途径因其对耳蜗的损伤极小,在临床应用方面具有更好的发展前景。展开更多
文摘In recent years, a growing number of math contents are available on the Web. When conventional search engines deal with mathematical expressions, the two-dimen- sion-al structure of mathematical expressions is lost, which results in a low performance of math retrieval. While the retrieval technology specifically designed for mathematical expressions is not mature currently. Aiming at these problems, an improved mathematical expression indexing and matching method was proposed through employing full text index method to deal with the two-dimensional structure of mathematical expressions. Firstly, through the fully consideration of LaTeX formulae’ characteristics, a feature representation method of mathematical expressions and a clustering method of feature keywords were put forward. Then, an improved inter-relevant successive trees index model was applied to the construction of the mathematical expression index, in which the cluster algorithm of mathematical expression features was employed to solve the problem of the quantity growth of the trees in processing large amount of formulae. Finally, the matching algorithms of mathematical expressions were given which provide four query modes called exact matching, compatible matching, sub-expression matching and fuzzy matching. In browser/server mode, 110027 formulae were used as experimental samples. The index file size was 29.02 Mb. The average time of retrieval was 1.092 seconds. The experimental result shows the effectiveness of the method.
文摘 Not long after the establishment of the People's Republic of China in 1949 and the founding of the CAS, when the whole country was still suffering from the wounds of the three-year civil war, a preparatory office for founding the new Institute of Mathematics opened in June 1950. Theoffice was located at No.3 Wenjin Street, in downtown Beiiing.……
基金This work was supported in part by the Sichuan Electronic Information Education Center Education Center under Grant[2019]147.
文摘Programming teaching plays an important role in improving students’computational thinking and practice.However,due to the fact that programming has not been included in the entrance examination,the rate of having programming lessons in primary and secondary schools is low.At present,there is still a lack of empirical research on how programming affects the performance of other subjects.This paper studies the influence of programming on students’mathematics achievement for the students of an experimental middle school.The results show that programming has a significant impact on students’math scores,and the students who had not learned code were more likely to show a significant decline in math scores.In addition,learning programming makes it easier for middle-grade students to improve their math scores.
文摘“What is a successful math teacher?”is only a question but the answer to this relatively simple question is the main purpose of this paper.Namely,I will mention teachers’roles and try to give the answer of question“What kind of a teacher do students like?”Cleary,it is much simpler to mention which characteristics a successful mathematics teacher must not have or use.In the end,I would like to address every“successful teacher”with some motivation words.
文摘Highlights This study examines the China-England Mathematics Teacher Exchange program to identify and evaluate the differences in Chinese approach to mathematics education.There are numerous differences in terms of national mathematics curricula,organization of mathematics teaching,and evaluation objectives and methods due to different educational and learningcultures.China has made great achievements in mathematics education and student academic performance but has much to learn from England.
文摘The process of turning forest area into land is known as deforestation or forest degradation. Reforestation as a fraction of deforestation is extremely low. For improved qualitative and quantitative classification, we used Sentinel-1 dataset of State of Para, Brazil to precisely and closely monitor deforestation between June 2019 and June 2023. This research aimed to find out suitable model for classification called Satellite Imaging analysis by Transpose deep neural transformation network (SIT-net) using mathematical model based on Band math approach to classify deforestation applying transpose deep neural network. The main advantage of proposed model is easy to handle SAR images. The study concludes that SAR satellite gives high-resolution images to improve deforestation monitoring and proposed model takes less computational time compared to other techniques.
文摘目的研究腺病毒携带Math1-EGFP基因经完整圆窗膜途径及鼓阶打孔途径导入耳蜗后对听功能和转导效率的影响,为内耳基因治疗提供实验基础和理论依据。方法健康成年白色红目豚鼠40只,雌雄不限,体重250～300g。随机分成四组,完整圆窗膜组12只,鼓阶打孔组12只,各组分别设对照8只。实验组(24只)导入重组腺病毒携带的Math1基因及增强型绿色荧光蛋白基因(enhanced green fluorescent protein,EGFP),对照组(16只)导入人工外淋巴液,所有动物均以左耳作为导入耳。术前及术后分别行听性脑干反应(ABR)检查。分别于术后5天、14天取双侧耳蜗标本做基底膜铺片观察基因表达情况。结果完整圆窗膜组导入耳ABR阈值,术后5天各频率与术前比较无显著性差异(P>0.05);鼓阶打孔组导入耳ABR阈值,术后5天在2kHz、4kHz与术前比较无差异(P>0.05),8kHz较术前增高(P<0.05),16kHz、20kHz较术前明显增高(P<0.01),术后14天在16kHz、20kHz较术后5天时明显好转(P<0.01),但较术前仍有增高(P<0.05)。转导成功率鼓阶打孔组为91.6%,优于完整圆窗膜组的50%。两种转导途径对目的基因在耳蜗内的表达部位和表达时间没有显著影响。结论完整圆窗膜途径及鼓阶打孔途径在转导成功率及听功能保护方面各有优劣。完整圆窗膜途径因其对耳蜗的损伤极小,在临床应用方面具有更好的发展前景。
