1) STAIR.TEX[TEX,ALS] and 2) STAIR.TEX[SAV,MMT]	7-06-81 08:38	pages 1,1

**** File 1) STAIR.TEX[TEX,ALS]/1P/15L
1)	C00040 00013	To further illustrate this method, we give an 11 by 11 example, with randomly
1)	C00043 00014	After the algorithm has been applied, the final system has the form
1)	C00048 00015	\header {Sensitivity Analysis.}
1)	C00052 00016	{\let\spcol=\quad Computing the rank of a sub-block involves computing the singular values
1)	C00055 00017	{\let\spcol=\quad \parhead{Theorem 2.} $(Stair Measure)$   
1)	C00063 00018	{\let\spcol=\quad \parhead{Proposition.}
1)	C00068 00019	{\let\spcol=\quad \donothing{We include here another analysis of the Staircase Algorithm.
1)	C00072 00020	{\let\spcol=\quad For the $4$ by $4$ 
1)	C00073 ENDMK
1)	C⊗;
**** File 2) STAIR.TEX[SAV,MMT]/1P/15L
2)	C00036 00013	To further illustrate this method, we give an 11 by 11 example, with randomly
2)	C00039 00014	After the algorithm has been applied, the final system has the form
2)	C00044 00015	\header {Sensitivity Analysis.}
2)	C00048 00016	{\let\spcol=\quad Computing the rank of a sub-block involves computing the singular values
2)	C00051 00017	{\let\spcol=\quad \parhead{Theorem 2.} $(Stair Measure)$   
2)	C00059 00018	{\let\spcol=\quad \parhead{Proposition.}
2)	C00064 00019	{\let\spcol=\quad \donothing{We include here another analysis of the Staircase Algorithm.
2)	C00068 00020	{\let\spcol=\quad For the $4$ by $4$ 
2)	C00069 ENDMK
2)	C⊗;
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1)	% This is some padding. And more. And more.
1)	This algorithm has appeared in many forms, but the first allusion to it
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2)	This algorithm has appeared in many forms, but the first allusion to it
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1)			 \ 0\  ⊗   0\    ⊗   3.500 ⊗   1.500 \cr\vtskip
1)			 \ 0\  ⊗   0\    ⊗  -2.500 ⊗  -0.500 \cr
1)		    }rmtxiv/
**** File 2) STAIR.TEX[SAV,MMT]/12P/39L
2)			 \ 0\  ⊗   ↑*0\  ⊗   3.500 ⊗   1.500 \cr\vtskip
2)			 \ 0\  ⊗   ↑*0\  ⊗  -2.500 ⊗  -0.500 \cr
2)		    }rmtxiv/
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1)	\newpage % to page 12
1)	\finish
1)	The *ed entries are all zero, so that this is all there is to this reduction.
  1) STAIR.TEX[TEX,ALS] and 2) STAIR.TEX[SAV,MMT]	7-06-81 08:38	pages 12,12

1)	In practice, in noting the zeroes, the method goes through an extra 
**** File 2) STAIR.TEX[SAV,MMT]/12P/47L
2)	The *-ed entries are all zero, so that this is all there is to this reduction.
2)	In practice, in noting the zeroes, the method goes through an extra 
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**** File 1) STAIR.TEX[TEX,ALS]/13P/1L
1)	To further illustrate this method, we give an 11 by 11 example, with randomly
**** File 2) STAIR.TEX[SAV,MMT]/12P/68L
2)	\newpage
2)	To further illustrate this method, we give an 11 by 11 example, with randomly
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1)	}
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2)	\pagebreak
2)	}
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1)	\end
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