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EGYPTIAN FRACTIONS
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FILE INFORMATION
Ranked as 33725 on our all-time top downloads list with 1335 downloads.
Ranked as 9428 on our top downloads list for the past seven days with 2 downloads.
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egyptian.zip
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Filename
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egyptian.zip (Download)
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Title
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EGYPTIAN FRACTIONS
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Description
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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.
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Author
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Anders Tiberg (anders.tiberg@telia.com)
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Category
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TI-83/84 Plus BASIC Math Programs (Arithmetic)
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File Size
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2,313 bytes
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File Date and Time
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Sun Aug 5 18:09:25 2012
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Documentation Included?
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Yes
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SCREEN SHOTS
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ARCHIVE CONTENTS
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Archive Contents
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Name
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Size
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| AEGYPT.8xp | 230 |
| AEGYPT0.8xp | 222 |
| AEGYPT1.8xp | 308 |
| EGYPTIAN TI-83 Plus.8xp | 239 |
| EGYPTIAN.rtf | 1898 |
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