Don't Understand Notation

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Don't Understand Notation

Postby daj95376 » Thu Nov 30, 2006 7:03 pm

Okay, it's time to rake muck!

Code: Select all
Why do we use notation like: [r5c1]=1=[r5c89]-1-[r6c9]
when this makes more sense : [r5c1]-1=[r5c89]=1-[r6c9]

By looking on either side of a cell, you know its relationship to a particular candidate in that cell.
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Re: Don't Understand Notation

Postby ronk » Thu Nov 30, 2006 8:13 pm

daj95376 wrote:Okay, it's time to rake muck!

Code: Select all
Why do we use notation like: [r5c1]=1=[r5c89]-1-[r6c9]
when this makes more sense : [r5c1]-1=[r5c89]=1-[r6c9]

By looking on either side of a cell, you know its relationship to a particular candidate in that cell.

Because there are two possibilities, either r5c89=1 or r5c89<>1. The first applies when the expression is read left-to-right r5c89=1, the second right-to-left.
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Postby daj95376 » Fri Dec 01, 2006 1:47 am

And why would I want to read it from right-to-left?
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Postby ronk » Fri Dec 01, 2006 5:56 am

daj95376 wrote:And why would I want to read it from right-to-left?

Because that notation is nice loop notation ... which is bi-directional, by definition. But you don't need to read it right-to-left, I suppose.

Why do we use notation like: [r5c1]=1=[r5c89]-1-[r6c9]

You can look at [r5c1]=1=[r5c89] as

exactly one of r5c1=1 and r5c89=1 must be true (strong link)

and [r5c89]-1-[r6c9] as

at most one of r5c89=1 and r6c9=1 can be true (weak link)
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