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This definition of nullity (for matrices) makes the rank-nullity theorem true by definition. Isn't there a definition for matrices that avoids this?
Yes there is. I'm going to copy the definition of nullity out of my Linear Algebra textbook and see what I can do to expand on it/explain it. Since it's a definition, hopefully this won't be construed as a copywrite violation. Fieari 15:51, 16 May 2005 (UTC)
What about Dr. James Anderson's new nullity number? I just read about it on the BBC website: http://www.bbc.co.uk/berkshire/content/articles/2006/12/06/divide_zero_feature.shtml -- breun 11:33, 7 December 2006 (UTC)
It doesn't seem obviously wrong to put Dr. Anderson's research here. BBC News is a secondary source and Dr. Anderson's paper is a primary source, so it's not like this would open the floodgates to original research/neologisms. If there are credible sources that cast doubt on the research, they should go in the article, the better to inform the world. This is especially true today while the story is on the wires and people are going to be looking for the article all day and trying to create it if it isn't here. It's hardly the end of the world if it sits around being imperfect for a few days -- and definitely less of a waste of time than continuing to knock it down over and over.
At the least, we should make the redirect go to division by zero. No articles currently link to the linear algebraic definition, and that article will just confuse people who are looking for more information about Dr. Anderson's research (and we certainly don't want them to put it in that article). I suspect a great many of these are looking for a less credulous take on it than the BBC presented... that's how I got here anyway. Eliot 14:07, 7 December 2006 (UTC)
There is now a proper redirect page pointing towards both concepts. If you wish to write about Anderson's nullity, please do so over at Divide by zero. -- Tjohns ✎ 15:10, 7 December 2006 (UTC)
Sorry to jump into a hot fire here. I saw the article on the BBC website. I think lots of people will be coming here from there, and I think the article as it stands now accurately describes the situation. It seems pretty clear to me (as a brand new editor to this article) that Nullity is an established term in mathematics regarding Null space, and professor Anderson has just coined the term to mean something else. This page, as it stands now, provides correct information about this to users, and appropriate redirects. I just thought that if someone created the disambig page tastefully, that it would stick and encourage constructive contributions. Vir4030 15:14, 7 December 2006 (UTC)
Now that it's a disambiguation page, can we delete the line pointing to division by zero, as it's pointed to in the next line ( nullity (Transreal)). — Arthur Rubin | (talk) 15:24, 7 December 2006 (UTC)
Although I don't think it matters much, I'm not sure 'non-established' is an accurate description of transreal numbers -- doesn't the axiomatization and associated proofs more or less establish the system? I definitely agree that there should be some disclaimer on the link, but 'unadopted' or 'barely formalized' don't sound good. Is there a formally distinction between established and non-established math concepts that I'm not aware of? I'm mostly just curious and don't plan to change it. Eliot 17:45, 7 December 2006 (UTC)
Right now, the BBC's article page for that invention says that there will be more debate on the subject. Many of the viewers' comments (in fact, most of the ones not signed by Chuck Norris et al) seemed to have disproved Dr. Anderson's theory as axiomatically invalid. And many indicate that this is just a rename of NaN (not a number). Should we also link there? Louis 13:53, 8 December 2006 (UTC)
Maybe we should have this wikinews link box appearing somewhere here --
Nojer2
18:00, 21 December 2006 (UTC)
Seeing that links to Anderson's page have been repeatedly added and deleted since 2006, I'd like to add the Wikinews box as Nojer2 suggested... any objections?
The merits of his "nullity" "invention" notwithstanding, it's a safe bet that there are at least some people coming to Wikipedia looking for "nullity" in relation to Anderson after having seen a reference to it elsewhere. (Google "solve division by zero" or similar and the BBC article comes up near the top.) We ought to help these users find what they're looking for, and the Wikinews article does a decent job of explaining the significance of his "solution." 28bytes ( talk) 06:31, 7 July 2010 (UTC)
I'm uncomfortable with having Richard Anderson's "nullity" under the heading "in mathematics". Presented as a mathematical concept, his transreal numbers are unsupported original research. There are no reliable sources for the math, but there are reliable sources for the media reaction to James Anderson, so I think the disambiguation should point to his article.
The typical misinformed math student who shows up here might not be able to look at "null space" and "transreal numbers" and figure out which one involves dividing 0 by 0, so I think clarification is necessary.
I don't hold a neutral POV here, so I won't go right ahead and make the change, but how about this for the disambiguation?
Nullity may refer to:
rspeer / ɹəədsɹ 18:20, 13 December 2006 (UTC)
Disambiguation | ||||
|
This definition of nullity (for matrices) makes the rank-nullity theorem true by definition. Isn't there a definition for matrices that avoids this?
Yes there is. I'm going to copy the definition of nullity out of my Linear Algebra textbook and see what I can do to expand on it/explain it. Since it's a definition, hopefully this won't be construed as a copywrite violation. Fieari 15:51, 16 May 2005 (UTC)
What about Dr. James Anderson's new nullity number? I just read about it on the BBC website: http://www.bbc.co.uk/berkshire/content/articles/2006/12/06/divide_zero_feature.shtml -- breun 11:33, 7 December 2006 (UTC)
It doesn't seem obviously wrong to put Dr. Anderson's research here. BBC News is a secondary source and Dr. Anderson's paper is a primary source, so it's not like this would open the floodgates to original research/neologisms. If there are credible sources that cast doubt on the research, they should go in the article, the better to inform the world. This is especially true today while the story is on the wires and people are going to be looking for the article all day and trying to create it if it isn't here. It's hardly the end of the world if it sits around being imperfect for a few days -- and definitely less of a waste of time than continuing to knock it down over and over.
At the least, we should make the redirect go to division by zero. No articles currently link to the linear algebraic definition, and that article will just confuse people who are looking for more information about Dr. Anderson's research (and we certainly don't want them to put it in that article). I suspect a great many of these are looking for a less credulous take on it than the BBC presented... that's how I got here anyway. Eliot 14:07, 7 December 2006 (UTC)
There is now a proper redirect page pointing towards both concepts. If you wish to write about Anderson's nullity, please do so over at Divide by zero. -- Tjohns ✎ 15:10, 7 December 2006 (UTC)
Sorry to jump into a hot fire here. I saw the article on the BBC website. I think lots of people will be coming here from there, and I think the article as it stands now accurately describes the situation. It seems pretty clear to me (as a brand new editor to this article) that Nullity is an established term in mathematics regarding Null space, and professor Anderson has just coined the term to mean something else. This page, as it stands now, provides correct information about this to users, and appropriate redirects. I just thought that if someone created the disambig page tastefully, that it would stick and encourage constructive contributions. Vir4030 15:14, 7 December 2006 (UTC)
Now that it's a disambiguation page, can we delete the line pointing to division by zero, as it's pointed to in the next line ( nullity (Transreal)). — Arthur Rubin | (talk) 15:24, 7 December 2006 (UTC)
Although I don't think it matters much, I'm not sure 'non-established' is an accurate description of transreal numbers -- doesn't the axiomatization and associated proofs more or less establish the system? I definitely agree that there should be some disclaimer on the link, but 'unadopted' or 'barely formalized' don't sound good. Is there a formally distinction between established and non-established math concepts that I'm not aware of? I'm mostly just curious and don't plan to change it. Eliot 17:45, 7 December 2006 (UTC)
Right now, the BBC's article page for that invention says that there will be more debate on the subject. Many of the viewers' comments (in fact, most of the ones not signed by Chuck Norris et al) seemed to have disproved Dr. Anderson's theory as axiomatically invalid. And many indicate that this is just a rename of NaN (not a number). Should we also link there? Louis 13:53, 8 December 2006 (UTC)
Maybe we should have this wikinews link box appearing somewhere here --
Nojer2
18:00, 21 December 2006 (UTC)
Seeing that links to Anderson's page have been repeatedly added and deleted since 2006, I'd like to add the Wikinews box as Nojer2 suggested... any objections?
The merits of his "nullity" "invention" notwithstanding, it's a safe bet that there are at least some people coming to Wikipedia looking for "nullity" in relation to Anderson after having seen a reference to it elsewhere. (Google "solve division by zero" or similar and the BBC article comes up near the top.) We ought to help these users find what they're looking for, and the Wikinews article does a decent job of explaining the significance of his "solution." 28bytes ( talk) 06:31, 7 July 2010 (UTC)
I'm uncomfortable with having Richard Anderson's "nullity" under the heading "in mathematics". Presented as a mathematical concept, his transreal numbers are unsupported original research. There are no reliable sources for the math, but there are reliable sources for the media reaction to James Anderson, so I think the disambiguation should point to his article.
The typical misinformed math student who shows up here might not be able to look at "null space" and "transreal numbers" and figure out which one involves dividing 0 by 0, so I think clarification is necessary.
I don't hold a neutral POV here, so I won't go right ahead and make the change, but how about this for the disambiguation?
Nullity may refer to:
rspeer / ɹəədsɹ 18:20, 13 December 2006 (UTC)