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Felicia_b
user (0)
Pe: 2012-10-06T16:56:34+03:00 In: In:

permutari..

1. Fie permutarea 

*** QuickLaTeX cannot compile formula:
\[\sigma  = \left( \begin{array}{l}
	 \begin{array}
	   {\begin{array}
	   1 & 2 & 3 & 4  \\
	\end{array}} & 5 & 6 & 7  \\
	\end{array} \\
	 \begin{array}
	   {\begin{array}
	   5 & 7 & 3 & 6  \\
	\end{array}} & 1 & 2 & 4  \\
	\end{array} \\
	 \end{array} \right)
	\]

*** Error message:
Cannot connect to QuickLaTeX server: cURL error 28: Operation timed out after 40001 milliseconds with 0 bytes received
Please make sure your server/PHP settings allow HTTP requests to external resources ("allow_url_fopen", etc.)
These links might help in finding solution:
http://wordpress.org/extend/plugins/core-control/
http://wordpress.org/support/topic/an-unexpected-http-error-occurred-during-the-api-request-on-wordpress-3?replies=37

. Sa se determine sigma^(-1) si sa se rezolve ecuatia

    \[\sigma x=(5 7)\]

.

2. Sa se scrie permutarea

    \[\sigma\]

de la ex 1). ca produs (compunere) de transpozitii.

3.Daca

    \[\sigma\]

si

    \[\tau \]

sunt permutari de gradul 5,sa se arate ca

    \[\sigma\]

=

    \[\tau \]

in fiecare din cazurile:

a).

    \[\sigma\]

=(13)(12)(45),

    \[\tau \]

=(13)(41)(42)(41)(45).
b).

    \[\sigma\]

=(12)(23)(34)(23),

    \[\tau \]

=(12)(34)(23)(34).

Similare

4 raspunsuri

  1. xor_NTG
    maestru (V)

        \[ \begin{array}{l} \sigma = \left( {\begin{array} 1 & 2 & 3 & 4 & 5 & 6 & 7 \\ 5 & 7 & 3 & 6 & 1 & 2 & 4 \\ \end{array}} \right) \\ \\ \sigma ^{ - 1} = \left( {\begin{array} 1 & 2 & 3 & 4 & 5 & 6 & 7 \\ 5 & 6 & 3 & 7 & 1 & 4 & 2 \\ \end{array}} \right) \\ \sigma x = \left( {5,7} \right) \Leftrightarrow \sigma ^{ - 1} \sigma x = \sigma ^{ - 1} \left( {5,7} \right) \Leftrightarrow x = \left( {\begin{array} 1 & 2 & 3 & 4 & 5 & 6 & 7 \\ 5 & 6 & 3 & 7 & 1 & 4 & 2 \\ \end{array}} \right)\left( {\begin{array} 1 & 2 & 3 & 4 & 5 & 6 & 7 \\ 1 & 2 & 3 & 4 & 7 & 6 & 5 \\ \end{array}} \right) \\ \end{array} \]

    • 0
  2. xor_NTG
    maestru (V) 
    *** QuickLaTeX cannot compile formula:
\[
	\begin{array}{l}
	 \sigma  = \left( {\begin{array}
	   1 & 2 & 3 & 4 & 5 & 6 & 7  \\
	   5 & 7 & 3 & 6 & 1 & 2 & 4  \\
	\end{array}} \right) \\
	 \sigma  = \left( {5,1} \right)\left( {7,2} \right)\left( {6,4} \right)\left( {6,7} \right) \\
	  \\
	 Verificare]
	
	
	
	

*** Error message:
Illegal character in array arg.
leading text: 	   1
Extra alignment tab has been changed to \cr.
leading text: 	   1 &
Extra alignment tab has been changed to \cr.
leading text: 	   1 & 2 &
Extra alignment tab has been changed to \cr.
leading text: 	   1 & 2 & 3 &
Extra alignment tab has been changed to \cr.
leading text: 	   1 & 2 & 3 & 4 &
Extra alignment tab has been changed to \cr.
leading text: 	   1 & 2 & 3 & 4 & 5 &
Extra alignment tab has been changed to \cr.
leading text: 	   1 & 2 & 3 & 4 & 5 & 6 &
Extra alignment tab has been changed to \cr.
leading text: 	   5 &
Extra alignment tab has been changed to \cr.
leading text: 	   5 & 7 &
Extra alignment tab has been changed to \cr.
leading text: 	   5 & 7 & 3 &
Extra alignment tab has been changed to \cr.
    • 0
  4. Felicia_b
    user (0)

    Multumesc mult 🙂! .Iar la ex 3). calculez direct acele transpozitii si efectuez produsul sigma si tau in parte?

    • 0
  5. xor_NTG
    maestru (V)

    Pai da…calculezi sigma, apoi tau si ar trebui sa rezulte ca sunt egale.

    Cu placere.

    • 0
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