SICP 练习 1.19
这是生成斐波那契数列的过程,参考如下:http://sicp.org。 ua/sicp/Exercise1-19
据说我们可以将程序视为“a <- bq + aq + ap 和 b <- bp + aq”。我的问题是作者(或其他人)如何)想出这个好主意吗?一定是这种形式吗?
It's a procedure to genearate the fibonacci numbers, here is the reference: http://sicp.org.ua/sicp/Exercise1-19
it's said that we can consider the procedure as "a <- bq + aq + ap and b <- bp + aq".My question is how the auther(or someone else) think out this good idea?Has it to be this form?
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它被称为斐波那契 Q 矩阵,这个想法“像野火一样在斐波那契爱好者中流行起来。霍加特和/或他的学生和其他合作者撰写的许多论文发表在《斐波那契季刊》上,其中 Q 矩阵方法成为一种方法。斐波那契特性分析的核心工具”。您可以参考http://www.goldenmuseum.com/1505FibMatrix_engl.html和http://mathworld.wolfram.com/FibonacciQ-Matrix.html。
It's called the Fibonacci Q-Matrix, and the idea was "caught on like wildfire among Fibonacci enthusiasts. Numerous papers have appeared in Fibonacci Quarterly authored by Hoggatt and/or his students and other collaborators where the Q-matrix method became a central tool in the analysis of Fibonacci properties". You may refer to http://www.goldenmuseum.com/1505FibMatrix_engl.html and http://mathworld.wolfram.com/FibonacciQ-Matrix.html.