From a8d4286da7ff770fadb82e76aed59d5601e20314 Mon Sep 17 00:00:00 2001 From: rsiddharth Date: Tue, 6 Dec 2016 03:41:10 +0000 Subject: add src/one/two/seven/hn.scm useless functions for observing harmonic fucking numbers. --- src/one/two/seven/hn.scm | 24 ++++++++++++++++++++++++ 1 file changed, 24 insertions(+) create mode 100644 src/one/two/seven/hn.scm (limited to 'src') diff --git a/src/one/two/seven/hn.scm b/src/one/two/seven/hn.scm new file mode 100644 index 0000000..d012414 --- /dev/null +++ b/src/one/two/seven/hn.scm @@ -0,0 +1,24 @@ +;;;; copyright 2016 rsiddharth +;;;; under gnu general public license version 3 or higher. + +(define-module (taocp one two seven hn) + #:export (compute-hn + compute-h2^m + h2^m-relation)) + +;;; compute H_n +(define (compute-hn n) + (cond ((= 1 n) 1.0) + (else (+ (/ 1.0 n) (compute-hn (1- n)))))) + +;;; compute H_2^m +(define (compute-h2^m m) + (let* ((n (expt 2 m))) + (compute-hn n))) + +;;; H_2^m >= 1 + m/2 relation +(define (h2^m-relation m) + (let ((2^m (expt 2 m)) + (h2^m (compute-h2^m m)) + (rhs (+ 1.0 (/ m 2.0)))) + (list 2^m h2^m rhs))) -- cgit v1.2.3