Sunday, 31 July 2016 21:44

The two-element numbers and the geometry

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By two-element numbers I mean numbers which can be written in

a + bw

form where 'a' and 'b' are real numbers and w is a special number with following properties:

w2 =- 1 or 0 or +1

and when w2 = 1, w is not the real ± 1 number. In the literature these are called as complex numbers, kinds of Study numbers or dual numbers and hyperbolic numbers or perplex numbers.

In the item titled "Comparison of two-element numbers" I have already written about these numbers, their sum is represented as 'vector sum'. I also wrote about here that triangle inequality of these numbers is the same as in the spherical plane or the Euclidean plane or the hyperbolic plane.

 

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Read 481 times Last modified on Saturday, 06 August 2016 15:46
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