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Filename egyptian.zip (Download)
Description EGYPTIAN: This program decomposes fractions into sums of unit fractions. For example 5/8 is decomposed into 1/2+1/8. The ancient Egyptians did not write 5/8, but 1/2+1/8, because they didn't have a system for the compact notation m/n, hence the name. The program uses a modified version of Fibonnaci's method. When finished, the program pauses a list with the unit fractions, and then shows a list with their denominators. AEGYPT: This program is also a modification of Fibonnaci's method: The program seeks to finish earlier by counting up the unit fraction it is about to subtract with 10 units, and if it finds that the inverted remainder would make an even integer prior to those 10 units, it goes ahead with it. Otherwise it continues as usual with Fibonnaci's method. AEGYPT1: This is a slightly more complicated version, but it will produce the same unit fractions as EGYPTIAN. AEGYPT0: This program uses Fibonnaci's method. It is submitted for comparison. There is an url to a page on the subject in the text file.
Author Anders Tiberg (anders.tiberg@telia.com)
Category TI-83/84 Plus BASIC Math Programs (Arithmetic)
File Size 2,313 bytes
File Date and Time Sun Aug 5 18:09:25 2012
Documentation Included? Yes



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Archive Contents
Name Size
AEGYPT.8xp   230
AEGYPT0.8xp   222
AEGYPT1.8xp   308
EGYPTIAN TI-83 Plus.8xp   239
EGYPTIAN.rtf   1898

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