math cunts owned...
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Nightshade
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Freakaloin
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Nightshade
- Posts: 17020
- Joined: Fri Dec 01, 2000 8:00 am
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Freakaloin
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Freakaloin
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you can pick up the first chapter at
http://web.maths.unsw.edu.au/~norman/book.htm
having a look at it now (with the ejit's guide to algebra in another window). the missus is a bit of a mathematical genius, but if i can avoid asking her to explain it to me then i will
http://web.maths.unsw.edu.au/~norman/book.htm
having a look at it now (with the ejit's guide to algebra in another window). the missus is a bit of a mathematical genius, but if i can avoid asking her to explain it to me then i will
http://science.slashdot.org/comments.pl ... d=135844864days wrote:is this info available outside of that book?
http://science.slashdot.org/comments.pl ... d=13584500
good posts on it.
Basically, it's trig but without the sine() etc. functions. Nothing revolutionary, just different.
For people who think he's sitting on the information in order to get you to shell out 78 AUD for his book, here's Chapter 1 (which he provides freely)
http://wildegg.com/papers/Chapter1.pdf
http://wildegg.com/papers/Chapter1.pdf
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phantasmagoria
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Wow, this is a pretty amazing new approach. It seems that the relationships to classical numbers and equations thoroughly back up this guy's research.
If you haven't read any of it you can see the Preface, Intro, ToC, and 1st Chapter here:
http://web.maths.unsw.edu.au/~norman/book.htm
:icon14:
If you haven't read any of it you can see the Preface, Intro, ToC, and 1st Chapter here:
http://web.maths.unsw.edu.au/~norman/book.htm
:icon14:
yeh... but from a mathematicians point of view this is very interresting, as trigonometric geometry is used in a multitude of fields, not only restricted to pure geometry.
concerning between-ness:
i think the problem you are talking about is wether, from a given point of view, something is in line of sight - so we can abstract this probles as:
let S, A, B, Q be 2d-points - is point Q visible between A and B from point S?
in classical geometry, this is simple: you simply test if the absulute angle of line SQ is between the absolute angles of SA and SB.
But you have to sort the angles of SA and SB and, accordingly, do the 'between?' test
in rational goemetry it's a bit different. You check:
s(SA, SB)>s(SA, SQ) ?
and
s(SA, SB)>s(SB, SQ) ?
In this case, the sorting of absulute angles is not needed anymore. On the other hand, you get the problem, that for every point valid point Q1 the point Q1', that is mirrored at S, is also valid.
You either could do sign checks for x_Q-x_S ?= x_A-x_S , etc - but this is a bit of a shitty solution.
Or maybe there is something to be done with s(SA,SB)>s(QA, QB)...
concerning between-ness:
i think the problem you are talking about is wether, from a given point of view, something is in line of sight - so we can abstract this probles as:
let S, A, B, Q be 2d-points - is point Q visible between A and B from point S?
in classical geometry, this is simple: you simply test if the absulute angle of line SQ is between the absolute angles of SA and SB.
But you have to sort the angles of SA and SB and, accordingly, do the 'between?' test
in rational goemetry it's a bit different. You check:
s(SA, SB)>s(SA, SQ) ?
and
s(SA, SB)>s(SB, SQ) ?
In this case, the sorting of absulute angles is not needed anymore. On the other hand, you get the problem, that for every point valid point Q1 the point Q1', that is mirrored at S, is also valid.
You either could do sign checks for x_Q-x_S ?= x_A-x_S , etc - but this is a bit of a shitty solution.
Or maybe there is something to be done with s(SA,SB)>s(QA, QB)...