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MyWikiBiz, Author Your Legacy — Sunday October 20, 2024
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In the case of a 2-adic relation ''L''&nbsp;&sube;&nbsp;''X''<sub>1</sub>&nbsp;&times;&nbsp;''X''<sub>2</sub> = ''X''&nbsp;&times;&nbsp;''Y'', we can reap the benefits of a radical simplification in the definitions of the local flags.  Also in this case, we tend to denote ''L''<sub>''u''.1</sub> by "''L''<sub>''u''.''X''</sub>" and ''L''<sub>''v''.2</sub> by "''L''<sub>''v''.''Y''</sub>".
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In the case of a 2-adic relation <math>L \subseteq X_1 \times X_2 ~=~ X \times Y,</math> we can reap the benefits of a radical simplification in the definitions of the local flags.  Also in this case, we tend to refer to <math>L_{u \star 1}</math> as <math>L_{u \star X}</math> and <math>L_{v \star 2}</math> as <math>L_{v \star Y}.</math>
    
In the light of these considerations, the local flags of a 2-adic relation ''L''&nbsp;&sube;&nbsp;''X''&nbsp;&times;&nbsp;''Y'' may be formulated as follows:
 
In the light of these considerations, the local flags of a 2-adic relation ''L''&nbsp;&sube;&nbsp;''X''&nbsp;&times;&nbsp;''Y'' may be formulated as follows:
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