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-   -   Las Matemáticas — Mathematics (http://forums.tomisimo.org/showthread.php?t=4869)

pjt33 April 08, 2010 03:52 PM

Quote:

Originally Posted by laepelba (Post 78912)
What's "undécimo" form?

I think that most people would just say that there are cardinal and ordinal numbers. I've read somewhere about "nominal" numbers (numbers that name something like a number on a sports jersey or something like that), but I don't know how conventional that is. In a mathematics class, we talk about real numbers, rational and irrational numbers, integers, whole numbers and natural or counting numbers. Those are probably not practical or "every-day" numbers that anyone but a math teacher would use..... :p

Algebraic, transcendental, imaginary, complex, surreal, ... But this is a different distinction from cardinal vs ordinal (in either sense - 3 vs 3rd or set-theoretic).

And I don't think many people talk about "quaternion numbers" (just "quaternions"), but computer games programmers use them a lot.

laepelba April 08, 2010 03:58 PM

Quote:

Originally Posted by pjt33 (Post 78915)
Algebraic, transcendental, imaginary, complex, surreal, ... But this is a different distinction from cardinal vs ordinal (in either sense - 3 vs 3rd or set-theoretic).

And I don't think many people talk about "quaternion numbers" (just "quaternions"), but computer games programmers use them a lot.

Yes - I think that so many of those "groups" or "designations" of numbers are only used in mathematics...

But ... I have never heard of "quaternions". What exactly are they??

chileno April 08, 2010 05:32 PM

Ok I got it.

Go to http://spanish.about.com/od/spanishv.../a/ordinal.htm

for a complete list of ordinals.

and this one: http://www.learn-spanish-online.de/g..._fractions.htm

for a list of fractional numbers. :-)

laepelba April 08, 2010 07:32 PM

Quote:

Originally Posted by laepelba (Post 78916)
Yes - I think that so many of those "groups" or "designations" of numbers are only used in mathematics...

But ... I have never heard of "quaternions". What exactly are they??

Quote:

Originally Posted by chileno (Post 78938)
Ok I got it.

Go to http://spanish.about.com/od/spanishv.../a/ordinal.htm

for a complete list of ordinals.

and this one: http://www.learn-spanish-online.de/g..._fractions.htm

for a list of fractional numbers. :-)

Thanks for the links! They are fantastic! :)

By the way - you didn't answer my question about the "quaternions". What are they? :)

pjt33 April 09, 2010 12:31 AM

Quote:

Originally Posted by laepelba (Post 78916)
But ... I have never heard of "quaternions". What exactly are they??

Chileno didn't mention them: I did. They're one of the division ring* extensions of the reals (along with complex numbers and octonions). Short version: they're what complex numbers would be if they had three orthogonal imaginary parts. They turn out to give a useful representation for rotations in 3D.

* This is a correction from earlier.

chileno April 09, 2010 12:35 AM

Quote:

Originally Posted by pjt33 (Post 78961)
Chileno didn't mention them: I did. They're one of the field extensions of the reals (along with complex numbers and octonions). Short version: they're what complex numbers would be if they had three orthogonal imaginary parts. They turn out to give a useful representation for rotations in 3D.

Trigonometry and Calculus, right?

pjt33 April 09, 2010 11:46 AM

Quote:

Originally Posted by chileno (Post 78963)
Trigonometry and Calculus, right?

Algebra.

laepelba April 09, 2010 01:15 PM

Quote:

Originally Posted by pjt33 (Post 79011)
Algebra.

Not basic Algebra, though. Complex numbers aren't even introduced until a post-Geometry Algebra II course....

pjt33 April 09, 2010 01:23 PM

Quote:

Originally Posted by laepelba (Post 79026)
Not basic Algebra, though. Complex numbers aren't even introduced until a post-Geometry Algebra II course....

I know more about the future subjunctive in Spanish than I do about US mathematics syllabi. Buscares por donde buscares dudo que encontrares nada sobre ello en ningún libro moderno de gramática porque ya no existe, pero de todas formas me es más útil.

laepelba April 09, 2010 09:47 PM

Basic Algebra really only gets into very simple equation solving and line graphing. There are some other brief introductory topics like statistical graphing and a VERY brief intro to parabolas and quadratic equations, etc. Everything is VERY basic! Complex numbers would be out of the question!


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