[Home]History of Mathematics

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Revision 5 . . (edit) April 6, 2007 7:09 pm by Simons Mith [wikified formulae]
Revision 3 . . (edit) March 1, 2007 11:53 pm by Simons Mith [typo]
Revision 1 . . September 29, 2004 7:08 pm by Rab
  

Difference (from prior major revision) (minor diff, author diff)

Changed: 3c3
Take, for instance, that most fundamental tenet of all mathematics; Pythagoras' theorem concerning right-angled triangles. Pythagoras, working at this time to a very rudimentary early ruleset, discovered that it was possible to invoke a move which not only crossed a zone boundary but also changed lines, using less LV than the two separate moves would entail. He discovered that the ratios of the LVs x to change zone, y to change line, and z to do both, could be expressed as follows:
Take, for instance, that most fundamental tenet of all mathematics; Pythagoras' theorem concerning right-angled triangles. Pythagoras, working at this time to a very rudimentary early ruleset, discovered that it was possible to invoke a move which not only crossed a zone boundary but also changed lines, using less LV than the two separate moves would entail. He discovered that the ratios of the LVs x to change zone, y to change line, and z to do both, could be expressed as follows:

Changed: 5c5
x² + y² = z² .
: x² + y² = z² .

Changed: 7c7
In making this discovery, Pythagoras had discovered the earliest and most primitive version of the strile. However this formula is central to any strile, all the way up to the theoretical quintic strile. Later developments also had something to do with triangles, with special cases for straddling from the Circle to the District around Aldgate and Tower Hill. Sadly, most of the original ruleset was lost in the fall of Alexandria, and only the first 37 books of the Greek's bare-bones ruleset were saved from the sacking. Mathematics, and more importantly MC, entered a dark age.
In making this discovery, Pythagoras had discovered the earliest and most primitive version of the strile. However this formula is central to any strile, all the way up to the theoretical quintic strile. Later developments also had something to do with triangles, with special cases for straddling from the Circle to the District around Aldgate and Tower Hill. Sadly, most of the original ruleset was lost in the fall of Alexandria, and only the first 37 books of the Greek's bare-bones ruleset were saved from the sacking. Mathematics, and more importantly MC, entered a dark age.

Changed: 11c11
Ft = mv - mu
: Ft = mv - mu .

Changed: 13c13
where t represents Token Expenditure, m the mass of the train, podume or other object to be shifted, u its velocity before the inertial change and v its velocity afterwards. F of course, represents the force of the shifting body. Proving from first principles, Newton was able to rationalise the shunt and used it to escape his nephew's trap. F was later simplified with token revisions to be 1, with F now referred to as Standard Shunting Force. However, the game ended with Newton in spoon, south of the river and bankrupt as his nephew claimed MC.
where t represents Token Expenditure, m the mass of the train, podume or other object to be shifted, u its velocity before the inertial change and v its velocity afterwards. F of course, represents the force of the shifting body. Proving from first principles, Newton was able to rationalise the shunt and used it to escape his nephew's trap. F was later simplified with token revisions to be one, with F now referred to as the Standard Shunting Force. However, the game ended with Newton in spoon, south of the river and bankrupt as his nephew claimed MC.

Changed: 17c17
x<sup>n</sup> + y<sup>n</sup> = z<sup>n</sup>, n > 2 .
: x^n + y^n = z^n, n > 2 .

Changed: 19c19
Fermat then stated that there were no integer solutions for any values of n greater than 2. Fermat disputed his opponent's method of calculating LV due to gradient, arguing that his position on the ziggurat gave bearing to his speed. Fermat argued that for this to be true, the ziggaurat must have an exact physical relationship with the topography of the gameboard. Were this to be true, he postulated (in French), x<sup>3</sup> + y<sup>3</sup> = z<sup>3</sup> where x, y and z are all whole numbers. Fermat claimed to have a proof that no such solution existed, and, as was his wont, challenged his opponent to find it. His opponent was never able to, and the game was considered suspended until Fermat's death in 1665, when it was officially abandoned.
Fermat then stated that there were no integer solutions for any values of n greater than 2. Fermat disputed his opponent's method of calculating LV due to gradient, arguing that his position on the ziggurat gave bearing to his speed. Fermat argued that for this to be true, the ziggaurat must have an exact physical relationship with the topography of the gameboard. Were this to be true, he postulated (in French), x³ + y³ = z³ where x, y and z are all whole numbers. Fermat claimed to have a proof that no such solution existed, and, as was his wont, challenged his opponent to find it. His opponent was never able to, and the game was considered suspended until Fermat's death in 1665, when it was officially abandoned.

Changed: 21c21
Fermat's Last Theorem was eventually proved true for all values of n in 1995, and the acceptance of this proof is fundamental to modern MC. As the formula x³ + y³ = z³ relates to the ziggurat, x<sup>4</sup> + y<sup>4</sup> = z<sup>4</sup> ties tokens in to prove the random nature of token rain, and x<sup>pi</sup> + y<sup>pi</sup> = z<sup>pi</sup> adds spin, allowing the fundamentals of Beck's formula to be proven as shown in MC Player, November 1995, "Implications of Fermat for modern theory";. Whilst some of the more outré experimental numerology behind what should be more correctly termed Beck's Conjectural Formula has yet to be confirmed, the proof of Fermat's Last Theorem shores up an important cornerstone behind this near-fundmental aspect of Mornington Crescent.
Fermat's Last Theorem was eventually proved true for all values of n in 1995, and the acceptance of this proof is fundamental to modern MC. As the formula x³ + y³ = z³ relates to the ziggurat?, x^4 + y^4 = z^4 ties tokens in to prove the random nature of token rain, and x^(π) + y^(π) = z^(π) adds spin, allowing the fundamentals of Beck's formula to be proven as shown in MC Player, November 1995, "Implications of Fermat for modern theory". Whilst some of the more outré experimental numerology behind what should be more correctly termed Beck's Conjectural Formula has yet to be confirmed, the proof of Fermat's Last Theorem shores up an important cornerstone behind this near-fundamental aspect of Mornington Crescent.

Changed: 23c23
Sorry it's so long, I got a bit carried away... [TUA]
(Sorry it's so long, I got a bit carried away …)

Changed: 25c25,29
[Oh, sorry, was I meant to edit that? Ed.]
[TUA]

(Oh, sorry, was I meant to edit that? Ed.)


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