IsUPB - Revision history

Nathaniel at 18:26, 21 October 2014

2014-10-21T18:26:29Z

Nathaniel: Bug fix for the WIT argument

2014-10-20T02:54:25Z

Bug fix for the WIT argument

Nathaniel: Added WIT output argument

2014-10-19T00:09:43Z

Added WIT output argument

Nathaniel: Created page with "{{Function |name=IsUPB |desc=Determines whether or a set of product vectors form a UPB |rel=MinUPBSize
UPB
UPBSepDistinguishable |cat=List of functions..."

2014-10-18T23:55:58Z

Created page with "{{Function |name=IsUPB |desc=Determines whether or a set of product vectors form a UPB |rel=MinUPBSize<br />UPB<br />UPBSepDistinguishable |cat=List of functions..."

New page

{{Function
|name=IsUPB
|desc=Determines whether or a set of product vectors form a UPB
|rel=[[MinUPBSize]]<br />[[UPB]]<br />[[UPBSepDistinguishable]]
|cat=[[List of functions#Distinguishing_objects|Distinguishing objects]]
|upd=October 18, 2014
|v=0.50}}
<tt>'''IsUPB'''</tt> is a [[List of functions|function]] that determines whether or not a given set of product vectors forms an unextendible product basis (UPB).

==Syntax==
* <tt>IU = IsUPB(U,V,W,...)</tt>

==Argument descriptions==
* <tt>U,V,W,...</tt>: Matrices, each with the same number of columns as each other, whose columns are the local vectors of the supposed UPB.

==Examples==
===The "Tiles" UPB===
The following code verifies that the well-known "Tiles" UPB is indeed a UPB:
<syntaxhighlight>
>> [u,v] = UPB('Tiles') % generate the local vectors of the "Tiles" UPB

u =

1.0000 0.7071 0 0 0.5774
0 -0.7071 0 0.7071 0.5774
0 0 1.0000 -0.7071 0.5774

v =

0.7071 0 0 1.0000 0.5774
-0.7071 0 0.7071 0 0.5774
0 1.0000 -0.7071 0 0.5774

>> IsUPB(u,v)

ans =

1
</syntaxhighlight>

However, if we remove the fifth vector from this set, then it is no longer a UPB:
<syntaxhighlight>
>> IsUPB(u(:,1:4),v(:,1:4))

ans =

0
</syntaxhighlight>

{{SourceCode|name=IsUPB}}

@@ Line 1: / Line 1: @@
 {{Function
 |name=IsUPB
-|desc=Determines whether or a set of product vectors form a UPB
+|desc=Determines whether or not a set of product vectors form a UPB
 |rel=[[MinUPBSize]]<br />[[UPB]]<br />[[UPBSepDistinguishable]]
 |cat=[[List of functions#Distinguishing_objects|Distinguishing objects]]
-|upd=October 19, 2014
+|upd=October 21, 2014
 |v=0.50}}
 <tt>'''IsUPB'''</tt> is a [[List of functions|function]] that determines whether or not a given set of product vectors forms an unextendible product basis (UPB).

@@ Line 12: / Line 12: @@
 ==Argument descriptions==
 * <tt>U,V,W,...</tt>: Matrices, each with the same number of columns as each other, whose columns are the local vectors of the supposed UPB.
 ==Examples==
@@ Line 42: / Line 47: @@
 However, if we remove the fifth vector from this set, then it is no longer a UPB:
 <syntaxhighlight>
->> IsUPB(u(:,1:4),v(:,1:4))
+>> [iu,wit] = IsUPB(u(:,1:4),v(:,1:4));
-ans =
 </syntaxhighlight>
 {{SourceCode|name=IsUPB}}

IsUPB - Revision history

Nathaniel at 18:26, 21 October 2014

Nathaniel: Bug fix for the WIT argument

Nathaniel: Added WIT output argument

Nathaniel: Created page with "{{Function |name=IsUPB |desc=Determines whether or a set of product vectors form a UPB |rel=MinUPBSizeUPBUPBSepDistinguishable |cat=List of functions..."

Nathaniel: Created page with "{{Function |name=IsUPB |desc=Determines whether or a set of product vectors form a UPB |rel=MinUPBSize
UPB
UPBSepDistinguishable |cat=List of functions..."