Talk:BasicVectorAlgebra

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User:MarioMarengo Hey Jens,

That's coming along really nicely! user posted image
Would it be OK with you if, once it gets a little further, I went in and corrected some typos?

User:Jens Hey Mario,

This would be most kind of you. I think i did spot a few typos myself user posted image In particular I'll be most happy if you can have a watchful eye on the appropriate math terms. i.e. i'm not sure if mapping or transformation is the proper way to put it or if both words have identical meaning.

For now all this is a big mess here really and I'm afraid it's gonna stay like this for a while longer. I could write everything down directly in TEX and do one single update once 'it's all done', but since I often have some spare time here and there at university I'll try adding content continously here. If noone minds I'll use this as my notepad and from time to time I'll do a bigger clean up (I'm an expert in loosing text files on my hard drives → it's much nicer for me to know it's all here in place)

Jens

grr... looking at it, I'm not happy at all. Definatly 'non-Linear-Algebra' things in the introduction part and even saying vector algebra being only a special case of linear algebra isn't 'math'-point of view right ...

User:MarioMarengo > In particular I'll be most happy if you can have a watchful eye on the appropriate math terms.

I'll try my best, but that's not saying a lot, since my knowledge in the subject is far below yours. However; there are some very qualified people here who can help (Mark Elendt, Edward... is Frank Firsching here?), so I wouldn't worry.
As far as "mapping" vs. "transformation", I'd say they're interchangeable in this context (although I always read it as a "mapping", but that's just me.)

> grr... looking at it, I'm not happy at all. Definatly 'non-Linear-Algebra' things in the
> introduction part and even saying vector algebra being only a special case of linear algebra
> isn't 'math'-point of view right ...

Hehe, This is for animators and TD's, not for a roomfull of mathematicians... I don't think anyone will loose any sleep over the finer subtleties :P

Mario.

User:Edward Now if we were really picky, we would need to mention that Quaternions came first (sorta). user posted image
User:Jens A little history class on Hamilton & his followers user posted image ? I wanted to come back on Quaternions once I'll talk about the different ways to represent rigid body motion (i.e. Homegeneous representation, Canonical exponential coordinates, Quaternions and Euler angles) and coordinate transformations in general.

But most importantly ... i gotta somehow try not to stray too far from those things that we sorta use on a everyday basis in Houdini.

By the way, when ignoring typos and alike.. is the english readable, in the sense of not too colloqial nor too 'text-book' alike ?!

Jens

User:MarioMarengo > is the english readable, in the sense of not too colloqial nor too 'text-book' alike ?!

Yes; it's very readable, and has a nice conversational tone. I like it. Keep it up! user posted image

User:Jens Now, my 'roadmap' on the vector algebra is adding the definitions of vectors (scaler multiplication + addition of vectors), points, norm/inner euclidean product, crossproduct, linear vector space and the two properties of linear transformations.

However as soon as this is done, I'd have to touch the topic of matrices. Has anyone heard of Mcronin ?! I could start with things such as cauchy-schwarzsche inequality and there are other more and more 'abstract' things, but I don't think everyone will need those things really just now. If he(mike) possibly has continued on this matrices page I don't want to forestall him here though, but I'd need to add a few things to the existing page or add those things directly here, before continuing with rigid body motion or alike.

For this week I still have plenty to do, but any suggestions on how to solve this problem would be nice

Jens

hi Jens. so far this is good. my mathematics knowledge is high school level. i know it is hard to explain complex things in basic terms, so far i can follow your writing, so great stuff. the pratical examples of image compression etc. will help.

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