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Nataraj HS, Dec 3, 2010 Advanced
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daj95376



Joined: 23 Aug 2008
Posts: 3854
PostPosted: Sun Dec 05, 2010 6:12 pm    Post subject: Reply with quote
Yes!!!

Keith,

I'd thought about starting a thread in the Technology group on what constitutes a pseudo-cell. I'd planned to discuss the two possible perspectives on how a pseudo-cell could be interpreted -- Kraken cell vs. a member of a Subset in a single house/unit. Now, maybe it's best that I let it slide.

Your examples would have fallen into the Kraken cell (forcing chain) scenario.

BTW: does anyone have a link to a definition of pseudo-cell?

Regards, Danny
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keith



Joined: 19 Sep 2005
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Location: near Detroit, Michigan, USA
PostPosted: Sun Dec 05, 2010 6:36 pm    Post subject: Reply with quote
daj95376 wrote:
BTW: does anyone have a link to a definition of pseudo-cell?


I don't. I suppose the Type 3 UR would be the prototype.

Keith
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keith



Joined: 19 Sep 2005
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PostPosted: Sun Dec 05, 2010 9:07 pm    Post subject: Reply with quote
The first use of the term "pseudo-cell" in these forums is in this thread:

http://www.dailysudoku.com/sudoku/forums/viewtopic.php?t=2736&highlight=pseudo*

So, Ted: Did you get the term somewhere else, or did you make it up here? It is remarkable that no one commented on the term. I liked it, and started using it immediately.

(By the way, I looked through the Sudoku Player's forum, and their first use of "pseudo-cell" was only a couple of weeks ago. This may not be data, for their archive was lost, and I do not know how much has been recovered.)

Keith
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Marty R.



Joined: 12 Feb 2006
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Location: Rochester, NY, USA
PostPosted: Sun Dec 05, 2010 10:14 pm    Post subject: Reply with quote
There's probably much more to it, but my simple, personal definition has been that a pseudo cell is two cells that function as a single cell.
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daj95376



Joined: 23 Aug 2008
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PostPosted: Sun Dec 05, 2010 10:58 pm    Post subject: Reply with quote
Marty R. wrote:
There's probably much more to it, but my simple, personal definition has been that a pseudo cell is two cells that function as a single cell.

And I've been working under the (mis-)conception that it works like:

Sudopedia wrote:
Uniqueness Test 3

This test can be stated as follows:

Suppose both ceiling cells have extra candidates. By treating (the extra candidates in) these two cells as one node, find k - 1 other cells (as nodes) in the same house as these two cells so that the union of the candidates for these k cells has exactly k unique digits. Then the Naked Subset rule can be applied eliminate these k digits from the other cells in the house. A rectangle that meets this test is also called a Type 3 Unique Rectangle.

Now, I suspect that a pseudo-cell is more likely to act as a Kraken Cell (forcing chain) in a UR. Embarassed
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ronk



Joined: 07 May 2006
Posts: 398
PostPosted: Mon Dec 06, 2010 12:28 am    Post subject: Reply with quote
daj95376 wrote:
And I've been working under the (mis-)conception that it works like:

Sudopedia wrote:
Uniqueness Test 3

This test can be stated as follows:

Suppose both ceiling cells have extra candidates. By treating (the extra candidates in) these two cells as one node, find k - 1 other cells (as nodes) in the same house as these two cells so that the union of the candidates for these k cells has exactly k unique digits. Then the Naked Subset rule can be applied eliminate these k digits from the other cells in the house. A rectangle that meets this test is also called a Type 3 Unique Rectangle.

The two cells with extra candidates in a Type 3UR have been for some time been known as a "quantum cell."
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keith



Joined: 19 Sep 2005
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PostPosted: Sat Dec 11, 2010 4:01 am    Post subject: Reply with quote
Quote:
The two cells with extra candidates in a Type 3UR have been for some time been known as a "quantum cell."

Ron,

Has the term "quantum cell" been applied to other than a Type 3UR?

I searched for both sudoku quantum cell and sudoku pseudo-cell and did not find much.

Keith
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ronk



Joined: 07 May 2006
Posts: 398
PostPosted: Sat Dec 11, 2010 9:35 pm    Post subject: Reply with quote
keith wrote:
Quote:
The two cells with extra candidates in a Type 3UR have been for some time been known as a "quantum cell."

Has the term "quantum cell" been applied to other than a Type 3UR?

I searched for both sudoku quantum cell and sudoku pseudo-cell and did not find much.

The term "quantum" was used briefly by Steve Kurzhals as an adjective to more complex patterns, but otherwise usage has been only with Type 3 uniqueness tests AFAIK.

BTW MadOverlord's original term was "quantum square", not "quantum cell."
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