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Home > Software > Education > Maths > Multiply & Diophantine Equation with Quaternions

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Multiply & Diophantine Equation with Quaternions

Author Martin Carradus Licence Freeware Rating 4/5 (1 vote)4/5 (1 vote)4/5 (1 vote)4/5 (1 vote)4/5 (1 vote)1 vote
Version 1.00, 1st February 2013 URLs Homepage, Download (74 KB)

Introduction

Multiplies Quaternions, and uses them to Solve Sum of Squares Diophantine Equations

Latest Changes

Change file extension from .zipped to .zip, and Acorn File Type to 'Archive',to decompress downloaded file.

Details

Quaternions are four-dimensional numbers, that can both be added and multiplied. Besides a 'real' part, there are parts in i, j, and k, where i^2=-1, j^2=-1 and k^2=-1. Because their 'modulus' (square root of sum of squares of the 'real' part, and parts in i, j and k), is multiplied, when two quaternions are multiplied, this can be used to solve 'sum of squares' Diophantine Equations. (To be solved in whole numbers.)

RISC OS Compatibility

RISC OS 2unknown RISC OS 3.1xunknown RISC OS 3.5unknown
RISC OS 3.6unknown RISC OS 3.7xyes RISC OS 4.0xyes
Select 1i9 (4.29)unknown Select 2i3 (4.33)unknown Select 3i3 (4.37)unknown
Select 3i4/Adjust 1i2 (4.39)unknown RISC OS 4.40unknown Raspberry Pi (5)unknown
RISC OS 5.0xunknown RISC OS 5.1xunknown Beagleboard (5.xx)unknown
Select 4i2 (6.0x)unknown      
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