哪位英语高手来帮我翻译几个数学名词

Question

利用等价无穷小量代换求极限的推广及应用
摘 要 对“等价无穷小定理”进行推广，使其应用更加灵活方便。
关键字 等价无穷小；函数极限；等价替换

范德蒙行列式的推广
摘要 给出了范德蒙行列式的几个推广，并给出了这些推广形式的计算方法和具体计算过程以及相应的结论。
关键词 行列式;范德蒙行列式；推广式

上面两段话请分别给翻译成英文，回答的好有加分

Answer 1

Theorem of equivalent infinitesimal

Function limit

Equivalent Replacement

Vandermonde determinant of promotion

Determinant

Vandermonde determinant

Popularization

等价无穷小定理
函数极限
等价替换

范德蒙行列式的推广
行列式
范德蒙行列式
推广式

参考资料：出自Google

Answer 2

Using the equivalent substitution infinite small limit of popularization and application
Pick to "equivalent infinitesimal theorem", make its application more convenient.
Keyword equivalent infinitesimal, Function limit, Equivalent replacement
Vandermonde determinant of promotion
Given the determinants of several promotion, vandermonde is presented, and the extended form of calculation method and the calculating process and the corresponding conclusion
Key determinant, Vandermonde determinant, Promotion type
Above two please give translated into English and a good answer

Answer 3

Using Equivalent Infinitesimal Substitution Limit and Application
Summary of the "infinitesimal equivalence theorem" to promote, and make applications more flexible and convenient.
Keyword is equivalent to infinitesimal; function limit; equivalent replacement

Vandermonde determinant of promotion
Abstract The Vandermonde determinant of the few to promote, and give them the promotion of specific forms of calculation methods and calculation process and the corresponding conclusions.
Keywords determinant; Vandermonde determinant; popularization本回答被提问者采纳