以下为句子列表：
英文: Abstract: Direct limit and inverse limit are the methods producing new algebra in universal algebra.In order to further study the production of the new algebra, authors define the family of duplicate set and duplicate limit,discuss the algebraic duplicate
中文: 文摘:直极限和逆极限是泛代数中生成新代数的方法，为了进一步研究新代数的生成，笔者给出了重集族和重极限的定义，讨论了代数的重极限；其次研究了二重直集族和二重直极限及相应性质，讨论了二重直代数族和二重直代数族的极限.
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英文: After taking college calculus for a few weeks，all her high school algebra started coming back to her.
中文: 上了几周的大学微积分学之后，她的高中代数便全都回到她的记忆当中。
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英文: Algebra and geometry are the two subjects at which the boy was completely incompetent at school.
中文: 代数和几何是那个男孩读书时学得最差的两门课.
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英文: Algebra is beyond the comprehension of fourth-grade pupils.
中文: 代数是小学四年级学生所不能理解的。
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英文: Algebra is but written geometry and geometry is but figured algebra.
中文: 代数不过是书写的几何，而几何不过是图形的代数。
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