WikiProject Mathematics     (Rated Start-Class)
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Mathematics rating:	Start Class	High Priority	Field: Algebra
Please update this rating as the article progresses, or if the rating is inaccurate. Click to show/hide comments. Please add to or update the comments to suggest improvements to the article. More references would help. Geometry guy 22:41, 17 June 2007 (UTC)

Contents 1 Initial comments 2 Linearis? 3 multimedia linearity and non-linearity 4 Maths rating and dab

[edit] Initial comments

The linearity of the function f(x)=mx+c over the reals is controversial.

Let's get a closer look: all entities in Reals; just c may be 0...

Superposition is not always satisfied:

f(y+z)=m(y+z)+c is equal to f(y)+f(z)=my+c+mz+c=m(y+z)+2c iff c=0.

Homogeneity is not always satisfied:

af(x)=a(mx+c)=amx+ac is equal to f(ax)=amx+c iff c=0.

jimmer_lactic

I've added that that's a different usage of the term linear. I hope that helps! -- Oliver P. 22:02 5 Jun 2003 (UTC)

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Not true for all finite fields that superposition imples linearity: just for the prime fields.

Charles Matthews 06:37, 10 Oct 2003 (UTC)

[edit] Linearis?

I thought linear came from "linea" (line). 62.189.34.9 20:53, 30 December 2005 (UTC)

[edit] multimedia linearity and non-linearity

Can you assist me in what is linearity and non-linearity when talking about multimedia contents, please?

Thank you for your support.

--- Linearity in multimedia or "narrative linearity", means that there's only one path from the beginning of the story to the end. We imagine it progresses in a "straight line". In a computer game on the other hand, the path may branch out. You may get into the castle by knocking down the guard, climbing in a window or bribe your way in. There may also be more than one ending. Based on your choices, perhaps the evil king is overthrown, perhaps he convinces you to support him, perhaps you die.

This "non-linearity" is not purely a multimedia feature. A sci-fi book series was published in the 70's or 80's where you jumped to different pages depending on your choice of actions.

I leave it to the main contributors to incorporate this into the main text.

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Would be nice to see a page describing terminal based linearity, independent linearity, and zero based linearity.

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[edit] Maths rating and dab

I've added a rating for the maths content of this page. The other content should probably be moved out and linked via Linear (disambiguation). Geometry guy 15:54, 18 May 2007 (UTC)