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S , 6Hx `P  y X*  , 6Lx `  y Z* H , 0޽h ? ̙3380___PPT10. 0 me(  g  6$}yP#,$  0 sCualquier ingeniero aprende la notacin matemtica segn la cual la suma de dos nmeros reales, como por ejemplo, *tq   t R  s *= !=  >AL Y ??E3 8 $D 0  6Ѓy ,$  0 dpuede ser escrita de manera muy simple. Sin embargo, podemos decir que le falta totalmente estilo. Te) 9 & "   e   0hy dElegancia Profesional...0  H  0޽h ? ̙33  ___PPT10 +Ը Dg ' y= @B D" ' = @BA?%,( < +O%,( < +DY ' =%(%(D#' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =+4 8?\CB#ppt_xBCB#ppt_xB*Y3>B ppt_x<*D' =+4 8?dCB0-#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<*D' =%(D3' =4@BBB B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-o6Bbox(out)*<3<*D#' =%( D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =+4 8?\CB#ppt_xBCB#ppt_xB*Y3>B ppt_x<*D' =+4 8?dCB1+#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<*+p+0+0 ++0+0 +] 0 0 |(   ?  6+x,$D  0 5Desde las primeras clases de Matemtica sabemos que, @5 3 "   6 ,R  s *1 !1   8AL Y ?? 8 $D 0  62xm,$D 0 Vy tambin que,   ,R  s *(  (   s ,AL Y ??p 8 $D 0  68x } ,$D 0 }Adems, todos saben que, "  R  s *     s ,AL Y ??` ` 8 $D  0H  0޽h ? ̙33___PPT10+(D-' Bx= @B D' = @BA?%,( < +O%,( < +D' =%(%(D#' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<* %(D' =+4 8?\CB#ppt_xBCB#ppt_xB*Y3>B ppt_x<* D' =+4 8?dCB0-#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<* D' =%(D3' =4@BBB B%(D' =1:Bvisible*o3>+B#style.visibility<* %(D' =-o6Bbox(out)*<3<* D' =%(D@' =A@BBB B0B%(D' =1:Bvisible*o3>+B#style.visibility<* %(D' =-o6Bbox(out)*<3<* D' =%(D3' =4@BBB B%(D' =1:Bvisible*o3>+B#style.visibility<* %(D' =-o6Bbox(out)*<3<* D' =%(pD@' =A@BBB B0B%(D' =1:Bvisible*o3>+B#style.visibility<* %(D' =-o6Bbox(out)*<3<* D' =%(4!D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<* %(D' =+4 8?\CB#ppt_xBCB#ppt_xB*Y3>B ppt_x<* D' =+4 8?dCB1+#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<* ++0+ 0 ++0+ 0 ++0+ 0 + 0 #@(    6 x-,$D  0 hPor lo tanto la expresin, R  s *= !=  s ,AL Y ??0p)8 $D 05  6Px0,$D 0 3puede ser reescrita de una forma ms elegante as, 242 "  2R  s *  s ,AL Y ?? 8 $D 0H  6hVx  ,$D  0 Rla cual, como fcilmente pueden observar, es mucho ms comprensible y cientfica. &SQ"  QH  0޽h ? ̙33~___PPT10^+D' ax= @B DU' = @BA?%,( < +O%,( < +D' =%(%(D#' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =+4 8?\CB#ppt_xBCB#ppt_xB*Y3>B ppt_x<*D' =+4 8?dCB0-#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<*D' =%(D3' =4@BBB B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-o6Bbox(out)*<3<*D' =%(D@' =A@BBB B0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-o6Bbox(out)*<3<*D' =%( D3' =4@BBB B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-o6Bbox(out)*<3<*D#' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =+4 8?\CB#ppt_xBCB#ppt_xB*Y3>B ppt_x<*D' =+4 8?dCB1+#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<*++0+0 ++0+0 ++0+0 + 0 {P(    6ix},$D  0 VEs sabido que:   R  s *0   s ,AL Y ??8 $D 0  6nx m ,$D 0 Oy que,    R  s *   s ,AL Y ??"| U8 $D  0H  0޽h ? ̙33___PPT10+D' ux= @B D' = @BA?%,( < +O%,( < +D ' =%(%(D#' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =+4 8?\CB#ppt_xBCB#ppt_xB*Y3>B ppt_x<*D' =+4 8?dCB0-#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<*D' =%(D3' =4@BBB B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-o6Bbox(out)*<3<*D' =%(D@' =A@BBB B0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-o6Bbox(out)*<3<*D' =%( D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =+4 8?\CB#ppt_xBCB#ppt_xB*Y3>B ppt_x<*D' =+4 8?dCB1+#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<*+p+0+0 ++0+0 + 0 `K(    68}x-,$D  0 Yde donde resulta,   ,R  s *  s ,AL Y ??008 $D 0,  6Ђx ,$D 0 Bque puede ser escrita de la siguiente forma clara y transparente, CC A ,R  s *?  s ,AL Y  ?? `d 8  $D  0H  0޽h ? ̙33___PPT10+D' x= @B D' = @BA?%,( < +O%,( < +D ' =%(%(D#' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =+4 8?\CB#ppt_xBCB#ppt_xB*Y3>B ppt_x<*D' =+4 8?dCB0-#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<*D' =%(D3' =4@BBB B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-o6Bbox(out)*<3<*D' =%(D@' =A@BBB B0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-o6Bbox(out)*<3<*D' =%( D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =+4 8?\CB#ppt_xBCB#ppt_xB*Y3>B ppt_x<*D' =+4 8?dCB1+#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<*+p+0+0 ++0+0 + 0 p *(    6x,$  0 ^Teniendo en cuenta que   ,R  s *P W!8  s ,A L Y !??p 8 !$D 0  6x ,$ 0 ly que a matriz invertida de la matriz transpuesta es igual a la matriz transpuesta de la matriz invertida (con la hiptesis de un espacio unidimensional), conseguimos la siguiente simplificacin (debida al uso de notacin vectorial), @  "    , R  s * =   s ,A L Y #??0  8 #$D  0H  0޽h ? ̙33___PPT10+ID' x= @B D' = @BA?%,( < +O%,( < +D ' =%(%(D#' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =+4 8?\CB#ppt_xBCB#ppt_xB*Y3>B ppt_x<*D' =+4 8?dCB0-#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<*D' =%(D3' =4@BBB B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-o6Bbox(out)*<3<*D' =%(D@' =A@BBB B0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-o6Bbox(out)*<3<*D' =%( D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =+4 8?\CB#ppt_xBCB#ppt_xB*Y3>B ppt_x<*D' =+4 8?dCB1+#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<*+p+0+0 ++0+0 + 0 4, (     6|x ,$D  0 z,Si unificamos las expresiones simplificadas,-- ,   s ,A L Y $?? \8 $$D 0  6(x,$D 0 Oy  R  s * =    s ,A L Y %??`0H8 %$D 0  6عx`  ,$D 0 ]ser obvio obtener,    ,R  s *     s ,A L Y &?? p8 &$D  0H  0޽h ? ̙33___PPT10+5rD-' x= @B D' = @BA?%,( < +O%,( < +D' =%(%(D#' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<* %(D' =+4 8?\CB#ppt_xBCB#ppt_xB*Y3>B ppt_x<* D' =+4 8?dCB0-#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<* D' =%(D3' =4@BBB B%(D' =1:Bvisible*o3>+B#style.visibility<* %(D' =-o6Bbox(out)*<3<* D' =%(D@' =A@BBB B0B%(D' =1:Bvisible*o3>+B#style.visibility<* %(D' =-o6Bbox(out)*<3<* D' =%( D3' =4@BBB B%(D' =1:Bvisible*o3>+B#style.visibility<* %(D' =-o6Bbox(out)*<3<* D' =%(D@' =A@BBB B0B%(D' =1:Bvisible*o3>+B#style.visibility<* %(D' =-o6Bbox(out)*<3<* D' =%(dD' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<* %(D' =+4 8?\CB#ppt_xBCB#ppt_xB*Y3>B ppt_x<* D' =+4 8?dCB1+#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<* ++0+ 0 ++0+ 0 ++0+ 0 +! 0  $3(  $6 $ 6CI,$  0 TAplicando las simplificaciones descritas anteriormente, resulta que, de la ecuacin:UU  U ,` $ 6C ,$ 0 lobtenemos finalmente, de forma totalmente elegante, legible, sucinta y comprensible para todos, la ecuacin:mm ` , R $ s *? $ 6)C ,$ 0 ](que, convengamos, es mucho ms profesional que la vulgarsima y plebeya ecuacin original ) ^^ ^ ,R  $ s *= !=  $ s ,AL Y )?? D8 )$D  0Tl `    $  ,$D 0p $ s ,AL Y ??` |  `  $ 0`  bz `    $ ,$D 0p $ s ,AL Y ??` r  ` $ 0`  H $ 0޽h ? ̙33___PPT10+&D' 3C= @B D' = @BA?%,( < +O%,( < +D' =%(%(D#' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*$%(D' =+4 8?\CB#ppt_xBCB#ppt_xB*Y3>B ppt_x<*$D' =+4 8?dCB0-#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<*$D' =%(D' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<* $%(D' =+4 8?dCB0-#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<* $D' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<* $D' =%(D@' =A@BBB B0B%(D' =1:Bvisible*o3>+B#style.visibility<*$%(D' =-o6Bbox(out)*<3<*$D, ' =%(D' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<* $%(D' =+4 8?dCB0-#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<* $D' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<* $D' =%(D@' =A@BBB B0B%(D' =1:Bvisible*o3>+B#style.visibility<*$%(D' =-o6Bbox(out)*<3<*$D' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<* $%(D' =+4 8?\CB#ppt_xBCB#ppt_xB*Y3>B ppt_x<* $D' =+4 8?dCB1+#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<* $++0+$0 ++0+$0 ++0+$0 +  0  ((  (R ( s *= != ( 6oyq ,$ 0 ~Esta presentacin fue confeccionada para los amigos abogados, para que sepan que tambin los ingenieros podemos complicar las cosas al santo pedo. 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