1) Yang Hui
杨辉
1.
There are plenty of errors in Shi Yan Zhai s MS of Yang Hui s Xiang Jie Jiu Zhang Suan Fa (Detailed Analysis of the Mathematical Rules in the Nine Chapters; only half of thee book remains).
尤其是他对贾宪细草、杨辉详解这两部分内容，有大量漏校、错校。
2) Yanghui triangle
杨辉三角
1.
Some Varieties of "Yanghui triangle";
“杨辉三角”的几种变体
2.
Recurrence formulas of transformation between Chebyshev polynomial and generic polynomial are abtained, and calculation method of Chebyshev polynomial coefficient analogy Yanghui triangle and transformation method between chebyshev polynomial and generic polynomial are also obtained.
给出了Chebyshev多项式与幂函数互化的系数计算递推公式 ,并由此得到了类似杨辉三角的系数计算和Chebyshev多项式与一般多项式的互化算法 ,进一步得到了多项式精简的算法 。
3.
Taking advantage of the combination of the numbers and their shapes,this article introduces the relationship of some special arrays with the pyramid numbers and the Yanghui Triangle.
利用数形结合结合,介绍了金字塔、杨辉三角形与一些特殊数列之间的关系。
3) Yang Hui Triangle
杨辉三角
1.
Interesting Problems on Yang Hui Triangle——A Try of Teaching on Permutations and Combinations and Probability;
杨辉三角有趣问题——“排列组合与概率”教学的一次尝试
2.
Several Properties of the YANG Hui Triangle;
杨辉三角形中的几条组合性质
4) pascal's formula
杨辉公式
5) Yang Hui's Rhymed Formula
杨辉口诀
6) Yang Hui Suan Fa
《杨辉算法》
1.
This paper analyses the note on computation of quadrilateral with sides different from each other in the book 《Yang Hui Suan Fa(杨辉算法)》 from the <Collections of works about science and technology in the ancient China>,and reaches a conclusion that this note was written in the time when the book <Yang Hui Suan Fa> was published in Ming Dynasty.
分析了《中国科学技术典籍通汇》本中《杨辉算法》的一个注记 ,得出结论 :这个注记应写于明代刊刻之时 ,从而得出两个推论 :1。
补充资料：杨辉
| 杨辉 中国南宋时期数学家。字谦光。钱塘（今杭州）人。生卒年不详。13世纪中叶后活动于苏杭一带。著有《详解九章算法》12卷、《日用算法》2卷、《乘除通变本末》3卷、《田亩比类乘除捷法》2卷、《续古摘奇算法》2卷。后3种为他后期的著作，一般称之为杨辉算法。这些著作保存了中国古代数学典籍的许多珍贵资料，也为改进和发展古代计算技术作出贡献。 |
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条