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| 11. | "An infinite series that results in a finite sum is said to converge. One that does not, diverges. Mathematical analysis is largely taken up with studying the conditions under which a given function will result in a convergent infinite series. " |
| 一个无穷级数可求得和便称为收敛级数,若否,则称为发散级数。数学的分析常被当作研究形成收敛无穷级数的和的给定函数的条件。 |
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| 12. | uniformly convergent series |
| 一致收敛级数 |
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| 13. | uniform convergence of a series |
| 级数的一致收敛 |
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| 14. | iterated series |
| 累级数;迭级数 |
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| 15. | nonabsolutely convergent series |
| 非绝对收敛级数 |
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| 16. | Cauchy condition for convergence of a series |
| 柯西级数收敛条件。 |
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| 17. | uniformly absolutely convergent series |
| 一致绝对收敛级数 |
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| 18. | This very slowly converging series was known to Leibniz in 1674. |
| 这个收敛很慢的级数是莱布尼茨在1674年得到的。 |
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| 19. | C'esaro convergent series |
| 塞萨罗收敛级数 |
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| 20. | multiplication of series |
| 级数相乘|级数乘法 |
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