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Old 07-29-2010, 01:03 AM
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Argand

Quote:
Originally Posted by PoseidonsNet View Post
;-j
we also have to realise that the qualitative is distinct from the quantitative.
...
Its most probable that subatomic particles are passing through this 3-d universe and existed before we saw them appear, and after they have gone ~ in space that is many more dimensions greater than 3.

The problem is only qualitative since Mike Dubbeld makes a claim that number is purely conceptual. We have no idea what one is which is why I use a/bxb/a=1 to prove all numbers hold to the principle of reciprocity.

There exists a reciprocal for every number.
The negative numbers also hold to this law.
Square roots of them require a z axis so raw.
Electricity seems to require that kind of number.

Funny it is that one orange looks like a zero.


Life
Jean-Robert Argand was born in Geneva, Switzerland to Jacques Argand, his father, and Eve Carnac, his mother. His background and education are mostly unknown. Since his knowledge of mathematics was self-taught and he did not belong to any mathematical organizations, he likely pursued mathematics as a hobby rather than a profession.
Argand moved to Paris in 1806 with his family and, when managing a bookshop there, privately published his Essai sur une manière de représenter les quantités imaginaires dans les constructions géométriques (Essay on a method of representing imaginary quantities). In 1813, it was republished in the French journal Annales de Mathématiques. The Essay discussed a method of graphing complex numbers via analytical geometry. It proposed the interpretation of the value i as a rotation of 90 degrees in the Argand plane. In this essay he was also the first to propose the idea of modulus to indicate the magnitude of vectors and complex numbers, as well as the notation for vectors . The topic of complex numbers was also being studied by other mathematicians, notably Carl Friedrich Gauss and Caspar Wessel. Wessel's 1799 paper on a similar graphing technique did not attract attention.
Argand is also renowned for delivering a proof of the fundamental theorem of algebra in his 1814 work Réflexions sur la nouvelle théorie d'analyse (Reflections on the new theory of analysis). It was the first complete and rigorous proof of the theorem, and was also the first proof to generalize the fundamental theorem of algebra to include polynomials with complex coefficients. In 1978 it was called by The Mathematical Intelligencer “both ingenious and profound,” and was later referenced in Cauchy's Cours d’Analyse and Chrystal's influential textbook Algebra.
Jean-Robert Argand died of an unknown cause on August 13, 1822 in Paris.


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