Trierniones

[Alejandro24 575]

http://www.udg.mx/noticias/investigador-universitario-descubre-nuevo-sistema-matem-tico-los-n-meros-trierniones

http://www.oem.com.mx/ELOCcIDENTAL/notas/n2314270.htm

Well this is fresh, It has been released recently in the newspapers today. A literal translation:

Juan Alfredo Morales del Río, a professor of CUCiénega (Centro Universitario de la Ciénega, a campus located in Ocotlán, Jalisco), discovered a new numbers series called Trierniones (I don't know how would be the translation to english), that are made of one real part R and two imaginari parts i. This numbers are located in a hipercomplex space, conformed by 3 perpendicular regions. It have a real R axis and two imaginary i axes, in the cross called origin O. The system will be called Argan-Moralea del Río, Argan by the French mathematician that described the imaginary and complex numbers with analytic geometry. This discovery will help to many areas of sciences like electromagnetism, complex variable and artificial inteligence.

Despiste this discover isn't new at all, this numbers called Tricomplex Numbers have been described by Silviu Olariu in the year 2002. From what I hear from some teachers in math department today is the single comment of reinventing the wheel. Maybe the discover is the real-life application, because its different the theory to the application, its the point to see the works of the professor Morales del Río. There are not still too many details.

This is something hard to understand at the first time. I suppose I'll study it more later, maybe in a independent class from complex variable. But this is interesting, I really like this kind of things.

  Edited November 19, 2011 by Alejandro24  

[Ocram's Razr 963]

Interesante. ¿Por qué no hay imagines ni ejemplos?

Interesting. Why are there no images, examples, or graphs?

[Alejandro24 575]

Is the same question of the mathematics department. We must to see all the investigation. Of course, this is recently.

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I've found a scaned document about this: http://www.cuci.udg.mx/sites/default/files/Numero%20Trierniones.pdf

  Edited November 19, 2011 by Alejandro24  

[A Nonny Moose 8,261]

Is the same question of the mathematics department. We must to see all the investigation. Of course, this is recently.

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I've found a scaned document about this: http://www.cuci.udg....Trierniones.pdf

A long, learned document in Español. Far to complex for things like Google to translate. I think the English would be tricomplex or triple complex numbers, but I haven't seen anything on it.

However, this is just the tip of the iceberg. String theory proposes 11 dimensional spaces. How can anyone think of any way to represent the numerical values once you get beyond the Cartesian plane except as additional imaginary dimensions in some kind of undecahederal space. Vector algebra hasn't had trouble with this since the invention of the tensor.

"Tenser said the tensor

"Tenser said the tensor

"Trouble, apprehension and dissension have begun."

Alfred Bester in The Demolished Man.

[Alejandro24 575]

A long, learned document in Español. Far to complex for things like Google to translate. I think the English would be tricomplex or triple complex numbers, but I haven't seen anything on it.

However, this is just the tip of the iceberg. String theory proposes 11 dimensional spaces. How can anyone think of any way to represent the numerical values once you get beyond the Cartesian plane except as additional imaginary dimensions in some kind of undecahederal space. Vector algebra hasn't had trouble with this since the invention of the tensor.

"Tenser said the tensor

"Tenser said the tensor

"Trouble, apprehension and dissension have begun."

Alfred Bester in The Demolished Man.

Tricomplex numbers, número tricomplejo, its a great name. But you're right, this is the tip of the iceberg. The thesis of my professor of electromagnetism is about the dimensional spaces... I've read some pages and it is too complex and hard to understand. I don't need to fly... step by step is better.

[A Nonny Moose 8,261]

[Explain: e^(π*i)+1=0

Euler's theorem? It has all the basic numbers in the system in one equation. Neat huh?

[Alejandro24 575]

[Explain: e^(π*i)+1=0

Euler's theorem? It has all the basic numbers in the system in one equation. Neat huh?

Euler's Identity. Nothing to complex to understand, but needs time to get it. I really like that identity, inclugind there is the university there is a sculpture dedicated to this.

[A Nonny Moose 8,261]

[Explain: e^(π*i)+1=0

Euler's theorem? It has all the basic numbers in the system in one equation. Neat huh?

Euler's Identity. Nothing to complex to understand, but needs time to get it. I really like that identity, inclugind there is the university there is a sculpture dedicated to this.

This is one of the reasons why there are no uninteresting numbers. Euler's constant (e) has made him immortal. Think about all the math you've suffered through (or enjoyed), and all of it is summed up in this one equation.

e is the base of the natural logarithms

pi is the ratio of the circumference of a circle to its diameter.

i is the ineffable number that satisfies the relation i² = -1

1 is the multiplicative identity

0 is the additive identity

Sums up all of arithmetic in one neat bundle. Anything beyond arithmetic is commentary.

[Alejandro24 575]

This is one of the reasons why there are no uninteresting numbers. Euler's constant (e) has made him immortal. Think about all the math you've suffered through (or enjoyed), and all of it is summed up in this one equation.

Exactly. There are no uniteresting numbers because... there are not, just simply.

I really like math, but it makes me suffer a lot, because I understand it at the latest, after many time. I don't know why, maybe because my way of thinking is another not compatible with this system. Even so I'm in physics, a lot of math everywhere!!!! Hope so I'll do right my career, despite my eternal fails in math (example: when I was doing a double definite integral in Calculus and at the end I asked "¿6x8?", the teacher looked at me like saying "tell me that is a joke").

[A Nonny Moose 8,261]

This is one of the reasons why there are no uninteresting numbers. Euler's constant (e) has made him immortal. Think about all the math you've suffered through (or enjoyed), and all of it is summed up in this one equation.

Exactly. There are no uniteresting numbers because... there are not, just simply.

I really like math, but it makes me suffer a lot, because I understand it at the latest, after many time. I don't know why, maybe because my way of thinking is another not compatible with this system. Even so I'm in physics, a lot of math everywhere!!!! Hope so I'll do right my career, despite my eternal fails in math (example: when I was doing a double definite integral in Calculus and at the end I asked "¿6x8?", the teacher looked at me like saying "tell me that is a joke").

Physics is about insight and understanding of the universe. The math is just a descriptive language that makes a nice short-hand to help explain what you are thinking. Don't worry about the math, that's what assistants (calculators) are for.

[Ocram's Razr 963]

I remember most of my multiplication tables except for 7. If something is multiplied by 7, I multiply it by 6 or 8 then add or subtract. I am taking Calculus 1 now (and barely passing) and will need to take it again next quarter in order to take Calculus 2.

[A Nonny Moose 8,261]

I remember most of my multiplication tables except for 7. If something is multiplied by 7, I multiply it by 6 or 8 then add or subtract. I am taking Calculus 1 now (and barely passing) and will need to take it again next quarter in order to take Calculus 2.

If you have a good grasp of L'Hôpital's rule and the theory of limits, I don't see why Calculus should be a problem. It is mostly memory work. Integration takes a little imagination sometimes, to visualize where that expression came from. The "little stones" have been a stumbling block to many, and perhaps you just need to go the the library to get a different text book. If you can find it, the one by Sylvanus P. Thompson is pretty good and has been in print for nearly one hundred years. I learned differential calculus from it when I was 12.

[Alejandro24 575]

If you have a good grasp of L'Hôpital's rule and the theory of limits, I don't see why Calculus should be a problem. It is mostly memory work. Integration takes a little imagination sometimes, to visualize where that expression came from. The "little stones" have been a stumbling block to many, and perhaps you just need to go the the library to get a different text book. If you can find it, the one by Sylvanus P. Thompson is pretty good and has been in print for nearly one hundred years. I learned differential calculus from it when I was 12.

That's I've understood about calculus, It is not hard, only is work. I learned Calculus with Calculus of Thomas, also I've readed Calculus by Ron Larson and N. Piskunov. I really like the book of N. Piskunov, and the book of Larson is good too. Russians are popular in the university.