“Nested Radical”的概念、定义、习题解题方法及翻译-数学辞典

单词

Nested Radical

释义

Nested Radical

A Radical of the form

(1)

For this to equal a given Real Number

, it must be true that

(2)

(3)

and

(4)

Nested radicals appear in the computation of Pi,

(5)

and in Trigonometrical values of Cosine and Sine for argumentsof the form

, e.g.,

See also Continued Square Root, Square Root

References

Berndt, B. C. Ramanujan's Notebooks, Part IV. New York: Springer-Verlag, pp. 14-20, 1994.

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