ó
    \è”hN  ã                   óp   • S SK Jr  S SK Jr  S SKJrJrJrJrJrJ	r	  S SK
Jr  S SKJrJr  S SKJr  S rS rg	)
é    )Úfinite_diff)Úfinite_diff_kauers)ÚxÚyÚzÚmÚnÚw)Úpi)ÚcosÚsin)ÚSumc                  óò  • [        [        S-  S[        -  -   S-   [        5      S[        -  S-   :X  d   e[        [        S-  S[        S-  -  -   S[        -  -   S-   [        5      S[        S-  -  S[        -  -   S-   :X  d   e[        [        S-  S[        -  -
  S-   [        5      S[        -  S-
  :X  d   e[        [        S-  S[        -  -   S-
  [        5      S[        -  S-   :X  d   e[        [        [        5      [        [        S-  5      [        [        5      * [        [        [        S-  -   5      -   :X  d   e[        [        [        5      [        [        S-  5      [        [        5      * [        [        [        S-  -   5      -   :X  d   e[        [        S-  S[        -  -
  S-   [        S5      S[        -  :X  d   e[        [        S-  S[        -  -
  S-   [        S5      S[        -  S-   :X  d   eg )Né   é   é   é   é   é   é   )	r   r   r   r   r
   r   r   r   r	   © ó    ÚV/var/www/auris/envauris/lib/python3.13/site-packages/sympy/series/tests/test_kauers.pyÚtest_finite_diffr   	   s—  € Ü”q˜!‘t˜a¤™c‘z A‘~¤qÓ)¨Q¬q©S°1©WÓ4Ð4Ð4Ü”q˜!‘t˜a¤ 1¡™f‘} q¬¡sÑ*¨QÑ.´Ó2°a¼¸1¹±f¸qÄ¹s±lÀQÑ6FÓFÐFÐFÜ”q˜!‘t˜a¤™c‘z A‘~¤qÓ)¨Q¬q©S°1©WÓ4Ð4Ð4Ü”q˜!‘t˜a¤™c‘z A‘~¤qÓ)¨Q¬q©S°1©WÓ4Ð4Ð4Ü”sœ1“vœq¤" Q¡$Ó'¬C´«F¨7´S¼¼RÀ¹T¹³]Ñ+BÓBÐBÐBÜ”sœ1“vœq¤" Q¡$Ó'¬C´«F¨7´S¼¼RÀ¹T¹³]Ñ+BÓBÐBÐBÜ”q˜!‘t˜a¤™c‘z A‘~¤q¨!Ó,°´!±Ó3Ð3Ð3Ü”q˜!‘t˜a¤™c‘z A‘~¤q¨!Ó,°´!±°a±Ó7Ð7Ñ7r   c            	      ó  • [        [        [        S-  [        S[        45      5      [        S-   S-  :X  d   e[        [        [        [        S[
        45      5      [
        S-   :X  d   e[        [        [        [        -  [        S[
        4[        S[        45      5      [
        S-   [        S-   -  :X  d   e[        [        [        [        S-  -  [        S[
        4[        S[        45      5      [        S-   S-  [
        S-   -  :X  d   eg )Nr   r   )r   r   r   r	   r   r   r   r   r   Útest_finite_diff_kauersr      sÏ   € Üœc¤! Q¡$¬¨A¬q¨	Ó2Ó3¼¸A¹À±zÓAÐAÐAÜœc¤!¤a¨¬A YÓ/Ó0´Q¸±UÓ;Ð;Ð;Üœc¤1¤Q¡3¬!¨Q´¨´Q¸¼1°IÓ>Ó?ÄAÈÁEÌAÐPQÉEÁ?ÓRÐRÐRÜœc¤1¤Q¨¡T¡6¬Q°´1¨I¼¸1¼a°yÓAÓBÄqÈ1ÁuÈqÁjÔRSÐVWÑRWÑFXÓXÐXÑXr   N)Úsympy.series.kauersr   r   Ú	sympy.abcr   r   r   r   r	   r
   Úsympy.core.numbersr   Ú(sympy.functions.elementary.trigonometricr   r   Úsympy.concrete.summationsr   r   r   r   r   r   Ú<module>r"      s%   ðÝ +Ý 2ß &× &Ý !ß ?Ý )ò8óYr   