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+%This macro provides the typesetting of the math of the second horizontal area
+%of the column 1of page 8.
+%
+%The macro has one parameter
+% 1) The width usable for typeseting the math.
+\newcommand\TEightFactTwo[1]{
+ \parbox[t]{#1}{%
+ \def\LineOfArrayA##1##2##3{##1&=&##2&=##3\\}%
+ \def\LineOfArrayB##1##2##3##4{##1&=&##2&##3=##4\\}%
+ %This macro should add a negative spave in the last column
+ %of a line of the array. For a strange reason when a line is alone the
+ %value is much too far at right. This a pure visual layout, like one
+ %is accustomized to do in Word.
+ \def\LastColPosition{\hspace{-32.6ex}}
+ \TEightSeriesFactAFontSize
+ \noindent
+ $\begin{array}{lllll}
+ %x^1
+ \LineOfArrayA{x^1}{x^{\underline 1}}{x^{\overline 1}}
+ %x^2
+ \LineOfArrayA{x^2}{x^{\underline 2} + x^{\underline 1}}{x^{\overline 2} - x^{\overline 1}}
+ %x^3
+ \LineOfArrayA{x^3}{x^{\underline 3} + 3 x^{\underline 2} + x^{\underline 1}}
+ {x^{\overline 3}- 3 x^{\overline 2} + x^{\overline 1}}
+ %x^4
+ \LineOfArrayA{x^4}{x^{\underline 4} + 6 x^{\underline 3}+ 7 x^{\underline 2} + x^{\underline 1}}
+ {x^{\overline 4} - 6 x^{\overline 3}+ 7 x^{\overline 2} - x^{\overline 1}}
+ %x^5
+ \LineOfArrayA{x^5}{x^{\underline 5} + 15x^{\underline 4} + 25 x^{\underline 3}+ 10 x^{\underline 2} + x^{\underline 1}}
+ {x^{\underline 5} - 15 x^{\overline 4} + 25 x^{\overline 3}- 10 x^{\overline 2} + x^{\overline 1}}
+ \end{array}$
+
+ \par\vspace{1ex plus .2ex minus .5ex}
+ \centerline{\rule{5cm}{.5pt}}
+ \par\vspace{1ex plus .2ex minus .5ex}
+
+ \noindent
+ $\begin{array}{llllll}
+ %Line 1
+ \LineOfArrayB{x^{\overline 1}}{x^1}{x^{\underline 1}}{x^1}
+ %Line 2
+ \LineOfArrayB{x^{\overline 2}}{x^2 + x^1}{x^{\underline 2}}{x^2 - x^1}
+ %Line 3
+ \LineOfArrayB{x^{\overline 3}}{x^3 + 3x^2 + 2x^1}{x^{\underline 3}}{x^3 - 3x^2 + 2x^1}
+ %Line 4
+ \LineOfArrayB{x^{\overline 4}}{x^4 + 6x^3 + 11x^2 + 6x^1}
+ {x^{\underline 4}}{x^4 - 6x^3 + 11x^2 - 6x^1}
+ %Line 5
+ \LineOfArrayB{x^{\overline 5}}{x^5 + 10 x^4 + 35 x^3 + 50 x^2 + 24 x^1}
+ {x^{\underline 5}}{x^5 - 10 x^4 + 35 x^3 - 50 x^2 +}
+ & & & & & \LastColPosition 24 x^1\\
+ \end{array}$
+ }
+}