c3 242 c2 242 c1 242 - university of edinburghhomepages.inf.ed.ac.uk/rbf/books/dance/dance2.pdf ·...

27
c1_242 c2_242 c3_242

Upload: others

Post on 20-Jun-2020

4 views

Category:

Documents


0 download

TRANSCRIPT

Page 1: c3 242 c2 242 c1 242 - University of Edinburghhomepages.inf.ed.ac.uk/rbf/BOOKS/DANCE/dance2.pdf · 2004-12-22 · b g Q ! &+'Q(c1_316 c2_316 c4_316 c3_316 c5_316 c6_316 &j*o(-.m

������������ ������������������� �!� "#"%$

&�')(

c1_242

c2_242

c3_242

&+*,(

-%.0/)1!243658709;:!<>=@?�ACB8DFEHGIBKJML,ACNOA�PQASR�=TE�D;UWV!XYNZA\[^]�_)`C_8UbaYAIced>A\NODgf0Bhf0B@EH]ZN4DZ];i;E+fjGIBTV,G\Nkf0l)fmB,A\nofm[pA\l�]CUarq\csd>A\NODbX�G�tCBTPuqSRuD R8DFEH]Z[hV%?>f�E�vwGIN4fj]OB@ErA!E+fjGIB8D�lQf�x\]OByqSRzn0fmBo]ZD{E+v8NZG�t\l)v|iZA\NOD}VoACBTPuE�vo]OfmNnYA!q�]On~DFU� B@EH]ZN4DZ];i;E+fjGIB|q�G�tCBTPQACN�RhfmB)��t8E>[pACB@t)A\nmnWRQV!BoGIN;E+v�f~D�tF�>Ub�%vo]fmB@EH]ON �@N}]IEHA�E+fjGIB�X�GInmnjG)?�DF�

�C� .m��36� 'I�^�k�s���,�}��� . � /8<�.~� &+�F' 2;� �;� �\��� � * 3F� & 9��m9 (k(�� 1!2 � . � /�24.m/�� ��� 2 �)��� 3F� � �k� � 1!�m��� ' �)3&j* 1 � � ' � �T� �O( /�.m��3 �h��'I�s�k� .~� &+�F' 2;� � 9 �\��� � * 3F� & 9��m9 (k(�� 2 ��� 3 ' � � < * 3F� & :!7 � :8� :87 5�� (

Page 2: c3 242 c2 242 c1 242 - University of Edinburghhomepages.inf.ed.ac.uk/rbf/BOOKS/DANCE/dance2.pdf · 2004-12-22 · b g Q ! &+'Q(c1_316 c2_316 c4_316 c3_316 c5_316 c6_316 &j*o(-.m

"�"�� ���b�������� ��� � ���g� � � � �Q��� �!�

&+'Q(

c1_316

c2_316c3_316c4_316

c5_316

c6_316

&j*o(

- .m/�182k3 5!7m9�9)<�=@?>A\B,DSE GIB�JMLoA\NZA�PQASRh=@ErDFU V�XYNOAC[^]�� ��)Ua~A\ced>A\NOD#fmBhfmB@EH]ZN4DZ];i;E+fjGIBTV8GIN4f lQf0BoA\nof0[�AIl!]\UarqIc�d>A\NOD�X�G�t�BTP qSRzD�R8DSE ]O[�V�?>f�E�vwGIN4fY]ZB@ErA�E�fYG\B8D�lQf�x\]OB qSRznmfmBo]ZDeE+v!N}G�t\lQv|iOACN4DSV@ACBTP E+vo]Zf0N�n~A8q�]ZnmD;U� BoE ]ONODO]IiFE�fYG\Bwq�G�tCB PQA\N RhfmB)��t!E>[�A\B@t)ACn0n R)V!B@GIN;E+v�fmD�t;�>Ub�%vo]�fmBoE ]ON �@N}]IErA!E+fjGIBhX�GInmnYG)?�D;�

��� �0�m3S/ ' �r< �S' 2�.~� &��S' 2;� ��� � 9��!� * 3F� & 9��m9 (k(�� 2 ��� 3 ' � � .~�b� � . � / ' 2k.m/�� ��� 1!2 �K�)�^� �!3 � 2 �)� /p� .~��3��� .~� &Y��� ��� �09)� * 3S� ( < * 3S� & :87 � � � :!7W��� (

Page 3: c3 242 c2 242 c1 242 - University of Edinburghhomepages.inf.ed.ac.uk/rbf/BOOKS/DANCE/dance2.pdf · 2004-12-22 · b g Q ! &+'Q(c1_316 c2_316 c4_316 c3_316 c5_316 c6_316 &j*o(-.m

� � ��� ���� ��

� �� ����� ���� ��

���������� "!$#&%'#&�����)(+*+,.-/*0�1-2-��)3'34�5,.%46��1%'71(' $89�16/ $-;:=<&>@?��� "%+71#&-271�1�A3B#DCE�2#GFH71#&-JI%K7) $#&L2%K-��)%K%M $%�,+��('#A62L�7)3M#.CN,0-��O3PFQ#.(KRS#.C9 "-T3K�1(K,.7)3K $-�U4,.U.�1-V3W%)XV-�#&-���#.CYFZ�� "7[�� $%\3W�2�] 7)�1-V3W�)(K^_#&( ] %'�`,D3K^_#DCN7)#&-�%'71 $#.L�%K-��)%K%)acbP-d3K�� $%�89#A#.R_FE�Z�5,`e&�Z6��1fg#&-�%h3W(K,D3W�)6i,+%hjA%kI3W�)flCm#.(Q $-V3K�1(K�2(K�)3K $-�UB $fi,.U&�)%cFZ�� "7[�nX�!" $R.�OFZ $%'�.XJ�5,.%o-�#p71�1-V3K(W,.!n7)#&-V3W('#&!$!"�1(1arqs,@3W���)( "3c "%E,4-��O3PFQ#&('R�#.Cn "-T3K�1(K,.7)3K $-�Uutv�9�1�)([wM,.U&�1-V3K%1XTFZ�� $7[�nXJ-��Oe&�1(h3W���)!$�)%K%1X2��(K#J6�L�7)�1%c%'3W#@I(K "�1%i,.89#&L23g $fi,.U&�)%1ax���2 $%g $%g,yCv,D(g7)('j.X�#.C07)#&L�(K%'�.XoCm('#&fz71#.-�%K7) $#&L�%'-��1%'%1XZ8�L23i "36�#J�1%s6��1fg#&-�%h3W(W,@3W�p�2#GF{ "-V3W�1('�1%h3W $-2U|�� $U.�AIP!"�)e&�)!}71#&-�7)�1�23K%07`,D-~8N�BU&�1-2�1(W,@3W�16�Cm(K#&f!$#�FoI�!$�)e.�1!965,D3W,B3W��('#&L�U&�u-��)3PFE#&(KRT%�#.C�,DU&�1-V3W%)a�bP-|3W�� "%Q89#A#.R9XT3W�2�0,.U&�)-V3W%4tm71#&-�7)�1�23hICm(W,Dfi�)%1X�#&(i $-����)FZ "3'3`�=%|!�,D-�U&L5,.U.�.XZ,.7O3W#&('%[wg89�1��,�e.�y,.%����)FZ "3'3|��('�1%'71(K "8N�)6:=�.�D?�a������(K�1!$,D3W "#&-�%'�� $��FZ "3K���� "-�%KRVj9��%iCm(W,.fg�1%�:��V�@?�XQ $%i,.!$%'#�71!"#&%K�DXo8�L23u�� $%g%K!"#.3W%�tv#.(3W�)(Kfg $-5,D!$%[wc,.(K�+-2#.3��O�A��!" $7) "3W!�jg $fg��!$�)fi�)-T3K�16� "-����4��IP��bk�BX23K���1 "(o(K#&!"�0 $%E3[,.RD�1-�8Tj��('#&�N�)('3Pjd!" $%h3W%\,@3K3[,D7[���16�3W#+�1,.7[�i7)#&-�7)�1�23hIP $-2%'3[,D-�71�Da���#&U.�)3W�2�1(\FZ "3K�S3W���Z�� "U&�AI�!$�)e.�1!!$#.U& $7���('#&U&(K,.fifg $-2U�!�,.-�U.L5,.U&�M $-_FZ�� $7[�d���4��IP��bk�; "%� "fi�2!$�1fg�1-V3K�16nX@��(K#.�N�)('3Pj_!$ "%'3W%��('#GeJ "6��p,��5�O�A "8� $!" "3Pj|FE�1!"!�%'L� "3K�16�Cm#&(s82L� $!"6� $-�Ug,�FZ $6��4eD,.(K "�)3Pj�#.C�7)#&-�7)�1�23hI�Cm(W,Dfi�)%-��)71�1%'%W,.(hj� $-�,~(' $7[��6�#&fi,. $-�a/�o3g,D- �1-�U& "-��1�)(K "-�U¡!$�Oe&�1!¢X�3W�������4�sIk��bk�£%hjA%h3W�)f�5,.%p6��1fg#&-�%h3W(W,@3W�16¤3K�5,D3S,.-��08J¥'�17O3'Ik�+(' $�)-T3K�16;¦Q#&-271L�('(K�1-V3g§¨#&U& "7|��(K#.U&(W,.fgfg $-�U,.���2(K#V,.7[�� "%o,BeJ $,.8�!$�sfi�1,.-�%E#.C���(K#J6�L�7) $-�UBL�%K�OCmL�!n $fi,.U&�� $-V3K�1(K�2(K�)3W,D3W "#&-u%hjJ%'3W�)fi%)a��-2#.3W���)(i71,.�5,.82 $!$ �3Pj�%'��#�FZ-x3W#/89��Cm�1,.%K "8�!$��8Vj©���4�sIk��bk�ª $%d3W�2��L�%'��#DC+,¡Cm#&(Kf#.Co*0�1fg��%'3K�1(hIk�A�5,DCm�)(4L�-�71�)('3W,. $-V3Pjy7`,D!$71L2!$L�%)X}FZ�2 $7[��FQ,.%_%K��#�FZ-�3K#�71#&-Ve&�Oj�L2%K�)CmL2!L�-�7)�1(h3[,. "-T3Pj eD,.!"L��1%d3K��(K#&L2U&� 3W����-��)3PFE#&('R�,.-�6;��(K#J6�L�7)�� "-T3KL� "3K "e.�1!"j�(K�1,.%K#.-5,.8�!"�L�-�7)�1(h3[,. "-T3Pj�eD,.!"L��1%Z,@3�3W���+«5-5,D!¨ $-V3W�)(K��('�)3[,@3W $#.-�%h3[,.U.�.a

¬&¬�­

Page 4: c3 242 c2 242 c1 242 - University of Edinburghhomepages.inf.ed.ac.uk/rbf/BOOKS/DANCE/dance2.pdf · 2004-12-22 · b g Q ! &+'Q(c1_316 c2_316 c4_316 c3_316 c5_316 c6_316 &j*o(-.m

"���� ���b��������M"���� �w� ���T�k�� �� �

�o3�3K���S!"�)e&�)!r#.C�3K���p3K(W,��g7S%'71�1-�,.(K "#�XN3K���S%'jJ%h3W�1f U&�1-2�1(W,@3W�16y('�`,.%'#&-5,.8�!"�p�� "U&�!"�)e.�1!� $-V3W�)(K��('�)3[,@3W $#.-�%�FZ�� $7[��FQ#&L2!$6�89�4%KL� �3[,.82!$�+Cm#&(Z $-��2L23� "-V3W#i,g-TL�fS89�1(�#.Cr%'jJ%hI3K�1fg%1X¨Cm#&(+ "-�%'3W,.-�71�DX�JL2 "3W��%'#&���� "%'3W "7`,D3K�16¡3W(K,��g7� $-V3W�)(K%K�)7)3K $#&-y%'3W,D3W "%'3K $71%+7)#&L�!"6/89�,D7171L2fSL�!�,@3W�16�X�FZ�� $7[��FQ#.L�!$6�89�_#DC�L2%K�43W#��� $U.�TFQ,`j��1-2U& $-��)�1('%1aMb�3ZFQ#&L2!$6�-�#.3�3W,.R.�3K#A#ifSL�7[�¡� �A3K�1-�%' $#&-�3W#|7)#&-�-��)7)30%'L�7[�/,g3K(W,��g7p "-V3W�1('��(K�O3[,D3K $#&-�%'jJ%'3K�1f 3W#|,D7)3WL�,.!3K(W,��g7+!" $U&�V3o7)#&-V3W('#&!¨,.-�6�,.6G¥'L�%'3�3K���+!$ "U&�V3W%o,D%Z,pCmL�-�7)3K $#&-�#DC�3K���03PjJ�N�)%Z#.C�6�(K �eA "-�U89�1��,�eJ "#&(K%�6��O3W�17O3W�)6na©bP-�Cv,.7O3`Xc $-�71#&-G¥'L�-�7)3K $#&-�FZ "3K�;,y%h3W('�1�)3hIP!"�)e&�)!Z7`,.fg�1(K,2Xc3K���%hjJ%'3W�)f 71#&L2!$6 6��O3W�17O3g,.-�6�(K�)�N#.('3dfg#&(K�i71#&fg��!"�O�� $!$!"�1UV,D!cfg#�e&�)fi�)-T3K%d#.C�7`,.('%�,.%��,.('3�#.Cr,S3W(W,�i74!$,�F $-ACm(K $-2U&�1fg�1-V3�%hjA%h3W�)f�a

¦Q!$�1,.(K!�j&X53W�2�S��(K�)%K�)-T3�3W(W,�i7B $fg��!$�)fi�)-V3[,D3K $#&-��5,.%sfu,D-Tj�!" $fg "3[,@3W $#.-�%1a��Y#.(s "-AI%h3[,.-271�.XD3W���c85,.7[RTU&('#&L�-�6B%KL�823K(W,.7O3W "#&-B3K�17[��-� �TL��ECm#&(}!"#GFoI�!$�Oe&�1!V�2(K#J71�1%'%K "-�U� "%�7)(KL�62�.X,D-�6�(K�1%'L�!"3K%Z $-���('#&8�!$�)fi%EFZ "3W��%'�5,.6�#�FZ%s,.-�6�#&8�%'71L�(K,D3W "#&-�8Vj�#�e&�)(K�5,.-2U& $-�U�%h3W(KL27OI3KL�(K�)%1XQ,.-�6;!$ $fg "3K%B3K����#&8�!$ �TL��1-��)%K%�#.C�3W����eJ $�OF�3K#/3K����-��`,.(de.�1('3K $71,.!4tv%'�1���r $U@IL2(K�1% ­ a > ­ a�� ­ a ¬&¬ wOa������¡%'jJ%h3W�1f FE#&L�!"6 8N�~fg#&('�~(K#&82L�%'3�FZ "3K� ,.- $-V3W�)!$!" $U&�)-T3#.8J¥'�17O3i('�17)#&U&-� �3W $#.-¤%'jJ%'3K�1f�XE%'L�7[�©,.%d#&-���85,D%K�16;#&-��)eJ "6��1-�7)�OI�85,.%K�)6;3K�17[��-2 ��TL��1%: ¬ �D?�:��D?�a��0L23W�2L23�Cm(K#&f %'L�7[��!"#�FoIP!$�Oe&�)!+��(K#J71�)%K%K#.(K%�%K��#&L2!$6 $-�7)!$L�6��¡L2-�71�)('3[,D $-V3PjeD,.!"L��1%sFZ�� $7[�~7)#&L�!"6~8N�p $-�7)#&(K�9#&(W,@3W�16�FZ "3K��3W���pL�-�71�)('3W,. $-V3Pj�fi�1,.%KL�('�1%07)L�(K('�1-V3W!�j�2(K#&�5,DUV,D3W�)6�3K��(K#.L�U&�����4�sIk��bk�Ba

bPfg��(K#�e&�)fi�)-V3W%u3K#�3W����3W(W,�i7� $fg��!$�)fi�)-T3W,D3W "#&-�71#&L2!$6�,.!"%K#¤89��fi,.6��� $-x3K���(K,.-�U&�E#.C57)#&-�71�)�23'I�Cm(W,.fg�1%)a��5#&(� $-�%h3[,.-271�.XD3W���E%'jJ%'3K�1f{Fo,.%r-�#.3�6��)e.�1!$#.�N�)6S3W#�62�)3W�)7)3FZ�2�)3W�2�1(4,u71,.(sFQ,.%������������������_3W#i3WL�('-~!$�OC 3�#&(s(K "U&�V3�FZ�� "!$�_%'3W "!$!} $-�3W���p(K#V,.6�-��O�J33K#¡,.-¤ "-V3W�1('%K�)7)3W "#&-na~�s!$%'#�Xr3W�2� �"!$#&%�'�(*)�),+.-¤7)#&-�71�)�23'I�Cm(W,.fg�u7)#&L�!"6¤8N�i�O�J3W�)-�6��)63K#¡(K�1,.%K#&-¤3K�5,D3p7`,.('%S%'3K#&� 8N�)7`,.L2%K�|3W�2�|7`,.(p $-�Cm('#&-V3d $%B8�!$#J7[RT $-�U�3W���uFQ,`j&ay�����%hjJ%'3W�)f 7)#&L�!"6�,.!"%K#�89�i� �A3K�1-�62�16�3K#�6��1,.!�FZ "3K��#.3K���1(_!$�)UV,.!"!"j�%K $U.-� "«571,.-V3_�1-V3W �3W $�)%!" $RD�+�N�)6��1%h3W(K $,.-�%)X�3W(W,Dfi%Z,.-26��)fi�)(KU&�)-�7)j�e.�1�� "71!$�)%1a

�����¡L�-271�1(h3[,. "-V3Pj fg�`,.%'L�(K�~�2(K#&�5,DUV,D3W�)6 3W��('#&L�U&��3K���~%'jJ%h3W�1f 71#&L�!"6�8N�� $fdI�2(K#�e&�)6©8Vj¤fi,.RT $-2U�3W�2��%'jJ%'3K�1fzfg#&(K�i(K�1,.7)3K "e&�|3K#¡ "31XrCm#&(S "-�%'3W,.-�71�DX��1!" $fg $-5,D3K $-�U�VjJ�9#.3W���)%K�)%o3W�5,D3c�5,`e.�+,_89�1!" $�OCn89�1!$#�F ,471�)('3W,. $-g3W��('�1%K�2#&!$6nar�����0/,+&132&)&-gfi�)%K%K,.U&� "%u,�L�%K�OCmL�!sfg�`,D-�%u#.C06��`,.!" $-�UyFZ "3K�x-��)UV,D3K "e&�� $-2Cm#.(Kfi,D3W "#&- tv "�.XQ3K����6��)!$�O3W $#.-x#.C7)#&-�7)�1�23hIP $-2%'3[,D-�71�)%[wd,.-�6 #.CZL2�N65,@3W $-2U~8N�)!$ "�)C�eD,.!$L2�1%S,D(K#&L�-26¤3W����-��O3PFQ#.(KRYa����2 $%7)#&L�!"6;��,�e.��8N�)�1-� $fg��!$�)fi�)-V3W�16¤Cm#.(p3W���|3K(W,��g7�%K7)�1-5,D(K $#2Xc� �A71�1�A3g3K�5,D31Xc "- %K#&fg�FQ,`jJ%1X23K����3K(W,��g7s%K71�)-5,.(' $#BFQ,.%4�JL2 "3W��%K "fi�2!$�.XJ,.-26i3W�2�1(K��Fo,D%Q-�#B%K "3KL5,D3K $#&-�%�FZ���)(K�

Page 5: c3 242 c2 242 c1 242 - University of Edinburghhomepages.inf.ed.ac.uk/rbf/BOOKS/DANCE/dance2.pdf · 2004-12-22 · b g Q ! &+'Q(c1_316 c2_316 c4_316 c3_316 c5_316 c6_316 &j*o(-.m

"&��"

�VjJ�N#.3K���1%'�1%B-��1�)6/3K#�89��6��1!"�)3K�16na���-2#.3W���)(4 $fg��(K#�e&�)fi�)-V3+FQ#&L2!$6y8N�d3K#�fi,.�¡3W�2�L�-�7)�1(h3[,. "-T3PjieD,.!$L��)%�#&-V3W#���-�U&!" $%'������(W,D%K�1%_tm���162U&�1%WwoCm#.(o#&L23K��L23`X�,.-�6� "3EFQ#.L�!$6�89�,.-� $-V3W�)(K�)%'3W "-�U���(K#.8�!$�)f�3W#�6��O3W�1('fi "-��+3W���4fg#&%'3�('�`,.%'#&-5,.8�!"����-�U&!$ "%K������(K,.%K�)%�Cm#.(3W�2�4eD,.(' $#&L2%�71#&fS82 $-5,D3K $#&-2%o#.C�%KL����9#&(h3�,D-�6��2!�,.L�%' $8� "!$ �3Pj�#&L23W�2L23�8Tju3W���4%'jJ%h3W�1f�a�5L23WL�('��FE#&('RSCm#&(�3W�������4�sIk��bk� %hjJ%'3W�)fl,.!$%'#B "-�71!"L�6��1%M� �A3K�1-�62 $-�U_3W����-��)3PFE#&('R

#.C�Cm(K,.fi�)%p "-T3K#~!$#�FoI�!$�)e.�1!c��(K#J71�)%K%' $-�U�X�7)(K�1,D3W "-�U�7)#&-�71�)�23'I�Cm(W,.fg�1%p71#&-�7)�1('-��16 FZ "3K�%K�)U&fg�1-V3W%)X2 $fi,.U&��,D3'3W(' $8�L23K�1%)XJ!$,.89�1!$�)6u('�1U& "#&-�%c,.-�6|#.8J¥'�17O3W%1a�� �3W�i%KL�7[��,_%'jJ%'3K�1f�X "3iFQ#.L�!$6�89�~�9#&%K%' $8�!"��3W#�(K�OI�%K�)U&fi�)-V3��N#&(h3W "#&-�%u#DC+3W���~ "fu,DU&��FZ�2�1(K�y�� "U&�AI�!$�)e.�1!71#.-�71�)�23'I�Cm(W,.fg�1%}�O�A�9�17O3�3K#�«5-26B#&8T¥'�17)3K%otm $�DXD71,.(K%WwnFZ�2 $!$�\eD,.(hjJ $-�U�3W�2�E%'�1U&fg�1-V3[,@3W $#.-�5,.(K,.fg�)3W�)(K%)a;���2 $%dFQ#.L�!$6;8N��%' $fg $!�,D(_3K#y3K����3W�17[�2-� ��TL��)%iL�%'�16© $-©�A7[���)fu,©:�<.�@?�X�A "U&fu,�: �T>�?�,.-�6�3W�5,D3Z#DC��Q�)!$!¨,D-�6���,.L�:��@?¢a

bP- 3W���|3K(W,��g7|%'71�1-�,.(K "#�XE���4��IP��bk��Fo,.%SFE#&('RJ "-�U¡#&- %'�5,.(K%'�� $fi,.U&�1%B6��1(' "e.�16Cm(K#.f eJ $6��)#� $fi,.U&��%'� �TL��)-�71�)%1a ��-;#&8VeA "#&L�%g�O�J3W�)-�%K "#&-xFE#&L�!"6©89��3K#�62�`,.!�FZ "3K�3W�2�+%K� �TL��)-�71�B $-� �3W%o�)-T3K $('�)3Pj&aM���� "%oFQ#.L�!$6�(K� �TL� $('�4,dCmL2-�65,.fg�1-V3[,D!n(K�O3W�� "-�Ru#.C�3W�2�,.('7[�� "3K�17)3KL�(K��#.C�3W�2��%hjJ%'3W�)f�XE $-Ve&#.!"eJ $-�Uy7)#&-�71�)�23W%g#.Cs%K��#.('3'I�3W�)(Kfz,D-�6©!"#&-�UDI�3W�)(Kffg�1fg#&('j.XM3K $fg�OI�e.,D('jJ $-�U�e&�)(K%KL2%i%h3[,D3K $7�#&8J¥'�)7)3K%1Xo,D-�6;,y62 ��N�1(K�)-V3dCm#&(Kf #.C�#.L23W��LA3tmFZ�2�1(K�1,.%�71L�('(K�)-T3K!"j¤3K����%'jJ%'3K�1f #&LA3W��L23K%d $-V3W�)(K��('�)3W,D3W "#&-�%SFZ���)-© �3d�5,.%S«5-2 $%K�2�16(KL2-�-� $-2U�X�3K���1('�uFQ#.L�!$6¤-2�1�16¤3K#~%K#.fi��Fo,`j�#.C�6��O3W�1('fi "-� $-2U�FZ���)-¤Fo,D%p3W���u(K $U.�T33W "fi�s3W#�U&�1-2�1(W,@3W�_#&L23W�2L23Z "C� "3oFQ,.%�(KL�-2-� $-�U�#�e&�)(�,d!"#&-�Ud%K� �TL��1-�7)��w a�r $-�,.!$!�j&XYCm#&(�3W�2�d��(K#&U.(W,.fgfi�)(1X�,|L�%K�OCmL�!\ $fg��('#Ge.�1fg�1-V3+FE#&L�!$6¡89��,|U&(K,.���� "7`,.!

L�%'�1(Z $-V3W�)('Cv,.7)�it��sbhwECm#&(�8�L2 $!$62 $-�Up3K���4%'jJ%'3K�1f�X5%K "fi "!�,.(M3W#d3W�2�_%hjJ%'3W�)f �1fg��!$#�j&�)68Vj��4,.(he&�)j�:�� ¬ ?9Cm#&(c�� $%E8N�)!$ $�OCn-��O3PFQ#.(KRYaM�����071L2(K(K�)-V3�%'jJ%'3K�1flFo,.%Q8�L� $!�3cL�%K "-�Up3W�2��� "U&�AIP!"�)e.�1!�!$#.U& $7|�2(K#&U&(K,.fgfi "-�U~!�,D-�U&L5,.U.���r,.('!$#&U ���SX�FZ�� $7[�©U&(K�1,D3W!�j¤Cv,.7) $!$ �3[,D3K�163W�2�p��('#A7)�1%K%)Xn8�L230 "3�FQ#&L2!$6~89�pU&#J#J6�3W#|,�e.#& $6�3W���B-��1�)6~Cm#&(sCmL23KL�(K�B��(K#.U&(W,.fgfg�1(K%3W#4!"�`,.('-�3K�� $%M!$,.-�U&L5,DU&�.a�b�C�3K���1('�ZFQ,.%E,_%'L� "3W,.8�!"�����br "-�FZ�2 $7[��3W���Z!$#.U& $71,.!2-5,@3WL�('�,.-�6u(K�1!$,D3W "#&-�%'�� $��%c#.C¨�1,.7[��71#.-�71�)�23'I�Cm(W,.fg��7)#&L�!$6u8N�s6��)«5-2�16nX23K���1-|3K���0��,.(K!"#&U ���71#J6��~7)#&L�!"6�8N�~7)#&fg�� $!"�16©Cm('#&f "3`a��#&(K�~%'�N�)71L�!$,D3W �e&�)!"j&X�,.-26� $-�R.�)�1�� "-�U¤FZ "3K�¦Q#&U&-2 "3W �e&�0�A71 "�1-�7)�.X� �3EFE#&L�!"6|8N�0,p%K "U&-� "«�7`,.-V3o62�)e&�)!$#&�2fi�)-T3o "C���,.7[�2 $-�� Ik§¨�`,.('-� $-2U71#.L�!$6S89�o "-Te.#&!"e.�16d "-p3W���Q71#&-�%h3W('L�7)3K $#&-�tm#&(\�)e.#&!$LA3W $#.-Yw}#DC93K���o-��O3PFQ#.(KRp#DCY71#&-�7)�1�23hICm(W,Dfi�)%1a

Page 6: c3 242 c2 242 c1 242 - University of Edinburghhomepages.inf.ed.ac.uk/rbf/BOOKS/DANCE/dance2.pdf · 2004-12-22 · b g Q ! &+'Q(c1_316 c2_316 c4_316 c3_316 c5_316 c6_316 &j*o(-.m

� � � �H� � ��� �

� ���;�� ���� � � �¤ � �� � �¤�H�

bP-d3K�� $%�,D���N�)-�6� �pFE��!$ "%'3\%'�1!"�17)3K�16�71#J6��� "-p3W���Z��,.(K!"#&U ��� !�,.-2U&L5,.U&�EL�%K�)6� $-g���4�sI��bk�_a

� � ����������������� �"! �#�%$&�'�)( *+��!,(���2�s«5('%'3o%'#&L�('71��7)#A62�s� ��,Dfi��!"�Z $%M3W����%'FZ �3W7[�T8N#&,.(K6uFZ�2 $7[�u7)#&-V3W('#&!$%cfi�)%K%K,.U&�s��#GF,D(K#&L�-26�3K���4-��)3PFE#&(KRYX9,.-�6�%K��,�FZ-2%s-��OF 71#.-�71�)�23'I�Cm(W,.fg�1%�,.%�-��)�16��)6na

- .0/2143 576�82949;:=<?>A@CBED?F2GIH4J�K LM:NB4FIJ�BOJID4DQPQR BE<TSEPI<2<QJ�U PI<%HQVWB4FIP&@CV2R2X2B,<YB2K7P2JCSJQV L�K HQX B7PI<�B�FIP?S,B7H#B4FIPOJQR2R K7HZR K[@ZJ�B P�DQHQVEDQPQR BI\Q]4K7J?S[PM^�_Y]�V7H�BO] HQX2V7La`@?Bb<?RIJZ>2V[<�B4FIP�J4L4L4K7PI<2<ZP4LWDQHQVEDQPQR BI\Q]4K7J?S[PM^c.�-<C>A@?BED?Fd^ _CVIe�B2K&@�<YB2K7P2JCS�`gf K[@ZeQB2KOHI<YB2K P2J?S@hV i[@4< @hGkj4Pl/2K HIDZ5E@4<?Bm<YB7J�B PWnQoqpsra`t6YGIu�v2w4R7PW<YB7J�B7P�nQob<?>[@?BED?Fx`y <YU z HZX2V Bm<YB J�B7POn�oW{DQj4JQX[<QP7<

_CVIe�B2Kx|2|}S~<YUa���7J?S[PQv Ha` y <YUE�to7�]E@CV7L �ZVIJ?S[P���/2K7HIDY5k@4<YBa`�� JCS[PQv7H�`�/4K HID2_CV�R2X Ba`�/25k<CF7H�K�B[��|�2L PQG4X U�`t@CV ��VIPQ�2BmjI@CVIP/2K7HID2_CV2R2X B�oqp y <YU���/2K HID _CV2R4X B��hr��f K[@ZeQB2Kd|2|}S�<YUM���7JCSEP�v7H�` y <?U[�C� -7.ZL2PQG2X UE.Q-��> K[@CB7P y wM��6ZX B2�[@Zj�Pa`�SA<YUa���7JCS[PZv7H�` y <?U[���?�z HQX2V2B&@4< y <YU z HQX4V B#9��A`¬ <&<

Page 7: c3 242 c2 242 c1 242 - University of Edinburghhomepages.inf.ed.ac.uk/rbf/BOOKS/DANCE/dance2.pdf · 2004-12-22 · b g Q ! &+'Q(c1_316 c2_316 c4_316 c3_316 c5_316 c6_316 &j*o(-.m

� � ">� ��� ��3� ����������� � �#���@� �w���� "&���

> K[@?B7P�z HQX2V Ba� z HQX2V2B[�C�y <YU z HZX2V B�GIPIDZH?S[PI<�z2HQX2V B2�/2K7HIDZ5k@4<YB�GIPIDZH?S[PI< p�R K7HID~���7J?S[P�v Ha`�/2K7H7D2_CV�R2X BA�Q�a��/ 57<?F7HQK2B2r�_CV7e�B2Kd|2| S~<YUM��� J?S[PQv Ha` y <CU[�to7�D?FIPID�4/2K7HID~���7J?S[P�v Hk��|/2K7HIDlox^2^Wp �7JCS[P�v7Ha`7p y <YU��}�7PZ> /4K HID4_CV2R4X2B2rM`s�7PQ>2/4K HID�6?X B�R4X B2rM`DQJ j2j���/2K7HID ��` -7.?RIJQK7J j2j4P2j�` <?R[@CVWH4]2]#VIPQ>�R K7H7DQPI<2<2.Q-f K[@Ze�B4Kd|2|}S~<?UM���7J?SEP�v Ha` y <YUk�~` -7.ZL PQG4X UE.�-��> K[@?B P y wM� 6YX B2�[@Qj�Pa`�S~<?Ua���2J?SEP�v H�` y <YU[�4�C�

S[P�K2U7P����7PQ> /4K7HID�6ZX2B4R4X BM`=_CV e�B4K�` � PQ>E_CVIeQB4KE�~`/2K7HIDZ5k@4<YB�GIPIDZH?S[PI< p�R K7HID~���7J?S[P�v Ha`��7PQ>2/4K7H D _CV4R4X2B[�M� /2K H7DZ5k@4<CB ra`z HQX2V Bb@4< y <YU2z HQX2V B�9��A`> K[@?B7P�z HQX2V Ba� z HQX2V2B[�C�y <YU z HZX2V B�GIPIDZH?S[PI<�z2HQX2V B2�_CVIe�B2K#GIP7DQH?S[PI<�� PQ>A_CVIeQB2K��

_CV7e�B2Kd|2| S~<YUM��� J?S[PQv Ha` y <CU[�to7�z HQX2V Bb@4< y <YU2z HQX2V B�9��A`> K[@?B7P�z HQX2V Ba� z HQX2V2B[�C�y <YU z HZX2V B�GIPIDZH?S[PI<�z2HQX2V B2�f K[@Ze�B4Kd|2| p�X4V 4VIHQ>4Vk�YR K H7D�`s�7JCS[PQv Ha` y <YU2r��4���_CV7e�B2Kd|2| P�K2KM���4K2K y <?U[�to7�z HQX2V Bb@4< y <YU2z HQX2V B�9��A`> K[@?B7P�z HQX2V Ba� z HQX2V2B[�C�y <YU z HZX2V B�GIPIDZH?S[PI<�z2HQX2V B2�f K[@Ze�B4Kd|2| p PQK2K7H�KI�ZKED?i La`��2K�K y <YU2r��2���_CV7e�B2Kd|2|�@CV7] H�� _CV7]2H y <?U[�to7�z HQX2V Bb@4< y <YU2z HQX2V B�9��A`> K[@?B7P�z HQX2V Ba� z HQX2V2B[�C�y <YU z HZX2V B�GIPIDZH?S[PI<�z2HQX2V B2�f K[@Ze�B4Kd|2| p�@hV7] H �QKkDYi2LM`=_hV7]4H y <YU2r��2���_CV7e�B2Kd|2|sL4K7JQ>�o7�L4K7JQ> � P�BM��/2K HIDZ5E@4<?B�` �7PZ>2/2K2HIDY5E@�<?B[�h�f K[@Ze�B4Kd|2| L4K JQ> �z HQX2V Bb@4< y <YU2z HQX2V B�9��A`> K[@?B7P�z HQX2V Ba� z HQX2V2B[�C�y <YU z HZX2V B�GIPIDZH?S[PI<�z2HQX2V B2�/2K7HIDZ5k@4<YB�GIPIDZH?S[PI< � PQ> /2K7H7DZ5E@4<YB4�2���

_CV7e�B2Kd|2|s��XA@?B0o7�f K[@Ze�B4Kd|2|�<YB HQR2RA@CV2UI�YR K H7D2<C�f K[@Ze�B4Kd|2|}S~<?U z HQX2V2BM� y <?U2z HYX2V2B[�C�

Page 8: c3 242 c2 242 c1 242 - University of Edinburghhomepages.inf.ed.ac.uk/rbf/BOOKS/DANCE/dance2.pdf · 2004-12-22 · b g Q ! &+'Q(c1_316 c2_316 c4_316 c3_316 c5_316 c6_316 &j*o(-.m

"���� � ����� � ���� � ���K���8� �������u�8� �@� ��b�8���

<YB7HQRI�ZR K7HID���/2K7HIDY5k@4<YBk�?�4� �_CVIe�B2Kx|2|�j4JI<?B�o7�f K[@ZeQB2Kd|2|�j�JI<YB2�2���_CVIe�B2Kx|2| �IJ4L y <YUlo7�f K[@ZeQB2Kd|2| p�GIJ4L7�CSEP7<2<QJZU7P�`��IJ�L y <YU2r�^DZH4L P

SEH4L P#]E@CV7L �ZVIJ?S[P�����`���`���`�����^-7.Z]E@CV L0R K7HIDQP7<2< VIJ?S[P�LM` HQX B4R4X B2B[@CV2Um@?BE<W@CV2R4X B,<YB2K7P4J?S&JQV7LWJR K HID�jI@4<YB#>A@?B�FIHQX B#B4F7J�B#R K7HIDQP7<2<�^ _Y]#VIH�BO] HZX2V7L#B4FIPQVO]2Jk@Qj7.�-]k@CV7L7�ZV7J?S[P��kp�R K7HID~��� J?SkPa`�/4K H7D _CV�R2X2BE�a��/ 57<?F7HQK2B2rM`s�7JCSEPa` /2K2HID _ V2R4X BM` / 57<?F7H�K4BE� n2\B2K4XIP �]k@CV7L7�ZV7J?S[P��kp�/2K7HID��}/25432PI<YB2ra` �7J?SkPa` /4K HID _ V2R4X2B�` / 57<?F7HQK2BE� n2\/ 5k<?FIHQK2B�oqp�/2K7HID��}/ 5k<?FIHQK2B7P�K r �]E@CV7L7�YVIJ?S[P���/ 5437PI<?BM`��7JhS[P�` /4K7HID4_CV4R4X BM`�/45k<CF7H�K4B7PZK[��^

SEH4L P#L4K7JQ>2�7P�BM����`��4��^L�K7JQ> �7PQBM��/2K7H7DZ5E@4<YBM` �7PY> /2K H7DY5E@4<CB[� n2\HQRIPQV�� VIP�B4>IHQK �` > KE@CB7Pa`s�7PQB4�E@Qj4P7�?�L4K7JQ> /4K7HID~��/4K7HIDZ5E@�<?B�`��2P�B4�E@Zj4Pa`s�7PZ>2/2K HID?5E@�<?B[�C�D�j4HI<QP����7P�B2�E@Qj4Pk�?�LE@4<?Rkj�J�wI�ZVIPQB4>IH�K x^SEH4L P#L4K7JQ>2/2K7HID~����`���`�����^L�K7JQ> /2K HID~�kpsra`���`Ipsrk��^L�K7JQ> /2K HID~�kp�R2K7HID~��� JCS[P�`�/2K H7D2_CV2R�X BE�a�}37PI<CB ra` �7PQB2�k@Qj�P�`p�R2K7HID~��� J?S[Pa`�/4K7HID _CV�R2X2BA���a��32PI<YB[�Crk� n2\/2K7HID _hV2R2X B#o psL�XZSIR��h_CVE<YB 5E@4<?B�`�6YG7u452P�i2P j7�a��/4K7H D _CV�R2X2B��hr��> K[@?B7PQ�7P�BM��� P�B2�[@Qj�P�` _CVk<YB25k@�<YB�`�6ZG7u�5 PQi7P4jI�C�L4K7JQ> /4K7HID~��3 PI<YB�`�� PQB2�[@Yj4P�` 3 PI<YB[����^SEH4L Pm<YB7HQRI�ZR K7HID����I��^<?B7HQRk�ZR2K7HID~�kp rE��^<?B7HQRk�ZR2K7HID~�kp�R K7HID~��� J?SkPa`�/4K H7D _CV�R2X2BE�a��37P <YB2rk� n4\/2K7HID _hV2R2X B#o psr4�<YB7HQRk�YR K7HID~��37PI<YB[��^SEH4L P0> K[@?B P y <YUM����`��I��^�Q> K[@?B7P�L2PI<YB[@CV7J�B[@ZHQV#JQV7L�B2w4RIP�H4]%S[P7<2<QJ�U7P

Page 9: c3 242 c2 242 c1 242 - University of Edinburghhomepages.inf.ed.ac.uk/rbf/BOOKS/DANCE/dance2.pdf · 2004-12-22 · b g Q ! &+'Q(c1_316 c2_316 c4_316 c3_316 c5_316 c6_316 &j*o(-.m

� � ">����� �*� ����������� � �g�b��@� � � �b� "&���

> K[@CB7P y <YUa� 6ZX B2�E@Qj4P�`�S~<?UM� �7JCSEP�v Ha` y <YUk�2� n2\]�X4V[DYB7H�Ka� y <YU�` y <YU4v4w4R7Pa`s12K[@hB2wE�?�> KE@?B7P y wa� 6ZX B2�E@Qj4P�`7p � J?SkP�v7H�` y <YU4v4w4R P4rk��^S[H4L2P�>2K[@?B7P4z2HQX2V BM���I��^��> KE@?B7PWDQHQX4V Bb@Y]&@?BE<�JlSIXIjQB[@CRkj�P�H4]��> K[@CB7P4z HQX4V BM� z HZX2V BE� n2\37PCS @�<�z HZX2V B%S[H4L����37PCSbo�| oO{�|> KE@?B7P�� :4:2:=.�:2:4: �?�]7jYX[<?Fk�4HZX B4R2X Ba��X[<ZPQKI��HQX4B4R2X4B[� �> K[@CB7P4z HQX4V BM� z HZX2V BE��^PQV7L�^

Page 10: c3 242 c2 242 c1 242 - University of Edinburghhomepages.inf.ed.ac.uk/rbf/BOOKS/DANCE/dance2.pdf · 2004-12-22 · b g Q ! &+'Q(c1_316 c2_316 c4_316 c3_316 c5_316 c6_316 &j*o(-.m

"���� � ����� � ���� � ���K���8� �������u�8� �@� ��b�8���

��� � ���%(�� ��� �#�%$&�"�)( * ��!,(bP-~3K���d-�� �A30�O�2,.fg��!$�DX¨, ���� ��������p71#.-�71�)�23'I�Cm(W,.fg�p "%0%K��#�FZ-nXn3K�5,D3sFZ�� $7[�y6��O3W�17O3W%3K���c�O�A $%h3W�1-271�c#.C5,�U& �e&�OI�Fo,`j4%' "3WL�,D3W "#&-+8N�O3PFQ�)�1-d, ZI�3WL�('-� $-2U�71,.(�,.-�6B,.-_#&-�71#.fi "-�U71,.(1a

UE@?i7PQfIJQw��7Bd^ ��U[@?i7Pl>IJQwWB7H�HQVEDQH?S�@CV2U#B2K7J4]2]k@4D >2FIPZV��k\QB4X K4V[@CV U�HQVWK7H2J�L6ZX BWHI<YB2K P2J?S@hV i[@4< @hGkj4PW_CVE<YB 5E@4<?Bm<YB7J�B PWnQoqpsra`t6YGIu�v2w4R7PW<YB7J�B7P�nQoOU[@Ci7PQfIJ�w��7B�`6ZG7u45 P�i7P2jO<YB7J�B7P�nQo��a`t6ZX B4�[@Qj4PO<?B7J�B7P@hVA@?B[@ZJ2j�HQRIPQV���6ZGIu�v2w�RIPa` > KE@CB7Pa`�6ZX2B4�E@Qj4P7�?�> K[@?B7P y wM� 6ZX2B2�[@Qj4P�`�S2S2S�S2S4S4S4S2S2S�S2S4S4S2S4S2S�S2S4S4S2S4S2S��?��2B7P�KZSd� 6ZGIu�v4w4RIPk�?�4�;^DQj4JQX[<QP7< j4JI<YBOo7� > K[@?B P y wM� 6YX B2�[@Qj�Pa`7p <CB7HZR4RA@hV Ua` _CVk<YB25E@�<?B rI�?�D�j4HI<ZP�� 6ZX B4�[@Qj4Pk�C�6ZX Bd|4|�j4JI<YBx^ - .ZL�XQSIRb@hV[<YBE<%�b<YB7HQR[.Q-L�XQSIR���6ZX B[_CVE<YB 5E@4<?BM`�6ZX4BI6YG7u�5 P�i2P j7� o �6ZX B[_hV[<YB 5E@�<YB�ob_CV[<YB25E@4<YB2�6ZX BI6YGIu45 P�i P j%om6ZGIu452P�i7P j%�4� �

DYK7P2J�B P��h_YLM` 37P jZV[<2� o �U7P�B[_hV[<YBM�h_?LM` _CV[<?B25E@4<CB�`=@hV[<?BM� v7JQK4U[_?LM`s/2K7HYR[<~`��YXE<YBQVA��` �4�kD _ V[<YB25k@�<YBk��|> K[@?B P45E@4<YBa� 6ZX B2�E@Zj4Pa` p D?K P2JQB7P�` X4V4VIP7DQP <2<QJZK2wM` J7<~` _CLM`�] HZX4V7L�rE�?�X2VA@ZHZV���37P jYV[<�`�/2K HZR[<�`s�7PZ>2/2K HQRk< �C�_CV[<YB25E@4<YB0G7PIDQH?S[P7<;p�@CV[<YBa��v7J�K2UE_YLM`��7PY> /2K2HQRE<�`��YX[<CB4V[�M� �4�ED4_CV[<?B25k@4<CB rP j7<QP -7.2@CV[<YB�VIHQBW]2HQX2V7L,.�-> K[@?B P45E@4<YBa� 6ZX B2�E@Zj4Pa` p D?K P2JQB7PQLM`=_?L2rk�?�D?FIPID 21E<2<?VE<~�h_YLE�C��- .2<QPQV7L : D?FIPID�M: B7Hmj7@ 7P jQwJI<2<QHID2@ZJ�B7PI<T>A@?B4FOB4F[@4<O@CV[<YBb_YLk.Q-_CV[<YB25E@4<YB0G7PIDQH?S[P7<p�@hV[<YBM�h_?LM`�37P jYV[<�`IpsrI�M��_hV[<?B 5I@4<YB4r��4� �-7.ZL HZV B�R K7HIDZPI<2<%JQV2w�S[HQK7P�S~<YUE<�X2V BE@QjW_CV[<YB25E@4<YB,@�<lX2R L J�B7P4L�� .�-

D?FIPID�a��K7P jZVM� DQH?SIR7H7<QP4L26�]a`�e4PQV7LI_YLa`��IP2jI�A` � HZVIPI�to7��4�7H�B P!�7HQVIP#]7j4JQUOB HOL P2j4J�w,<QPQV L P�K�X2V BE@Qj0B4FA@4<0HQGIu4PIDYB�X2R7L2J�B7P4L�7HQVIP#o�w7PI<Y�> K[@?B P45E@4<YBa� 6ZX B2�E@Zj4Pa` p DCF7PID �`sK7P2j�J�BE@ZHYVx`=DYH?S7RIH7<ZP4L26�]a`�]�K H?Sd` e2PZV Lk_YL�rE�?�U7P�B2v4w4RIP���e4PQV7LE_YLa`�e2PQV2L4v4w�RIPI�?��4U7P�B�B4F7P#K H2J4L#B4FIP :�K[@CU4F B�:T@4<W@CV6ZX Bd|4|}S~<YUM� e2PQV7L4v4w�RIPa`sU7PQB#"7J2j���e2PZV LE_?LM`K7P2jZV�� DQHCSIRIHI<QP�L76�]M` @CLa��K H2J�LM`�JQV wa` G7P j7��` G P j7�~` 3 H2JQL4/2K HZRE< ���?�6ZX Bd|4|}S~<YUM� e2PQV7L4v4w�RIPa`sU7PQB#"7J2j���e2PZV LE_?LM`

Page 11: c3 242 c2 242 c1 242 - University of Edinburghhomepages.inf.ed.ac.uk/rbf/BOOKS/DANCE/dance2.pdf · 2004-12-22 · b g Q ! &+'Q(c1_316 c2_316 c4_316 c3_316 c5_316 c6_316 &j*o(-.m

� � ����� ��#����� �T� ���#�b��@� � � �b� "&�g$

L PI<2D�� ]4K7H?Sd��JQV w[��` G7P j7��`�3�B2�2K HCS~�2�h�<QPQV7L43 H2J4La� 6YX B2�[@Qj�Pa`=_CVE<?B 5I@4<?B�` 3 H2JQL4/2K HZRE<�`s32B2�4K HCS�` e�PQV Lk_YLa`�7PQ>A_hV[<YB 5E@�<YB[�?�-7.Z] HQX4V7L,@Y]��7HQX2V7Lk_YLk< VIHQBmPCSIR B2wE.Q-_CV[<YB 5k@4<YB�GIPIDZH?S[PI< � PQ>A_CV[<?B 5E@4<YB4�2���

VIPQU z�FIPID M�h_YLE�To7��E_YLb@4<%K7P?S[H�i P4L#]4K7H?S,B4F7P#/4K7HQRIP�K4B2wWjI@4<YBk<lH4]mJ2j2jm_CV[<YBE<> K[@?B7P�5E@4<YBM��6ZX B2�[@Zj4P�`Ip _?LM`sK7PCS[HQi P4L�`�]4K HCS ` J4j2j�` K P2j4J�Bk@ZHZVE<Zrk�?�L P jQ37P�]a�h_CV[<?B 5E@4<YBM` _?LM` � PQ>E_CVE<YB25k@4<CB[�?�_CV[<YB 5k@4<YB�GIPIDZH?S[PI< � PQ>A_CV[<?B 5E@4<YB4�2���

JQV2w[_CV[<YBa���7HQX2V L25E@�<?B�` /2K2HQRA�to7�> K[@?B7P�5E@4<YBM��6ZX B2�[@Zj4P�`IpsPZV7�ZXA@CK2wM` K7PZU7J�K2Lk@hV Ua`�/2K HZR rE�?�-7.Y�7H�B P�|)B4FA@4<0HQVIjQw&D?FIPID�k< R K7HQRIPQK2B[@ZPI<0@CVWB4FIP#/2K7HQR75k@4<YBE.�-<QP2P M� _CV[<YB 5k@4<YB�`�/4K7HZRx` � HQX�V7L45E@�<?B[�h�2���U7PQB "7J j�� fIJQV B[_?LM`�/4K HQR�`��2HQX2V2L4/4K7HZR 5E@Q<YBE�To7���R K7HQR7J�U7J�B7P%B7HWHQB4FIP�K#B2K J4]2]E@4DlHZGIuU7P�B[_CVE<YBM��fIJZV B[_YLM`=_CVE<YB25k@4<CB�`=@CVE<?BM�=_CV[<?BE_?LM`s/2K7HZRE<~`��ZXk<YB�V[�~`��2�ID _hVE<YB25E@Q<YB[�~|-7.Z] JI@QjW@Y]#VIH�BO] HQX2V Lk.�-> K[@?B7P�5E@4<YBM��6ZX B2�[@Zj4P�`IpsPZV7�ZXA@CK2wM` B7H�` fIJZV2BE_YL�`�K7P�` /4K7HQR2rE�C�<QP2JQKED?F /2K HQR[<~��/4K7HZR[<~` /2K2HQR�`�� HZX2V2L4/2K HZR 5E@Q<YB[�C�4� �U7PQB "7J j�� fIJQV B[_?LM`�/4K HQR�`��2HQX2V2L4/4K7HZR 5E@Q<YBE�To7�> K[@?B7P�5E@4<YBM��6ZX B2�[@Zj4P�`IpsPZV7�ZXA@CK2wM` B7H�` fIJZV2BE_YL�`�K7P�` /4K7HQRM`�]2JI@Qj�P4L�rE�C��7HQX2V7L�/2K7HQR75k@4<YB�o psr4�4� � -7. _Y]&_YL#> K7HQV2U�` K7P�B4X2K4V psrk.�-X2R L#"7J j�� _YLM`�37P2jZV[<2�To7�U7P�B[_CVE<YBM�h_YLa` _CV[<YB25E@�<YBM`=@CVk<YBa��v JQK2Uk_YLM` /4K HQRk<�`��YXE<?B4VA�A` �4�kD _hV[<CB 5k@�<YBE��|> K[@?B7P�5E@4<YBM��6ZX B2�[@Zj4P�`Ip�X4R7L4J�B Pa`=_?LM` >A@?B�F�` 37P4jZV[<Yrk�C�X2VA@ZHQVM��37P jZVE<�`�/2K7HZR[<~`�� PZ> /�K7HZR[<2�C�_CV[<YB 5k@4<YB�GIPIDZH?S[PI< p @CV[<YBM��v7J�K2U[_?LM`��7PQ>2/4K7HYR[<�`��YXE<YB4VE�M� �4�ED2_CVk<YB25k@4<?B r

P j7<QP -7. @CVE<YB�VIH�BW] HQX2V LM`t<QHmDYK7P2JQB7Pm@?B�G2X BWL HQV B&D?FIP7D�21E<2<CV[<2.�-> K[@?B7P�5E@4<YBM��6ZX B2�[@Zj4P�`Ip�X4R7L4J�B Pa`�H�]M` _YLM`s>[@CB4FM`�37P2jYVE<�`�]4Jk@Zj�P4La` V H�BM`�] HZX2V2L2rE�h�_CV[<YB 5k@4<YB�GIPIDZH?S[PI<p�@CV[<?BM�h_YLM` 37P jZV[<~`Ip rE�a��_CVk<YB 5k@�<?B r �2� �

@CV �Oo � > K[@?B7P y wM� 6ZX2B2�[@Qj4P�`Ip @CV �a` _ V[<?B 5k@�<YB4rE�?�4���f K HQV U y <?U#o7� > K[@?B P y wM� 6YX B2�[@Qj�Pa`7p�G7J�L7� S~<YUM`sf2K7HYV U y <?U2rE��^

DQH4L2P

Page 12: c3 242 c2 242 c1 242 - University of Edinburghhomepages.inf.ed.ac.uk/rbf/BOOKS/DANCE/dance2.pdf · 2004-12-22 · b g Q ! &+'Q(c1_316 c2_316 c4_316 c3_316 c5_316 c6_316 &j*o(-.m

"�� � � ����� � ���� � ���K���8� �������u�8� �@� ��b�8���

SEH4L PmD?FIPID 21E<2<?VE<~����`��A`��I��^- .WD?F7PID�#VIH�KZSEJ j�JI<2<QH7D @ZJ�B[@YHQV[< H4]OB�FA@4<0HQGIu2P7DYB#B2w4RIP�B7H,<QP2P,@Y]�B4FIPQwmPQ�[@4<YB&@CVWB4FIPP���RIPIDYB7P�L0K7P j4JQB[@ZHQV[<CFA@CR ^ �7H�B P#B�FIP�K7PI<?XkjZBOH4]OB�FA@4<�D?FIPID [@CV U,@�<0K7PQB4X K4VIP�Lm@CVS~<?U :sX2R7L#"7J2j�: .�-DCFIPID�21k<2<?V[<~� _CV[<YB 5k@�<YBa` _CVE<?B25E@4<CB�`=_hVE<YB[_CLE��^- .2.2.2.2.4.2.2.2.2.4.2.2.2.2.4.4.2.�.2.2.4.4.4.2.2.�.2.4.4.4.2.2.�.2.4.4.2.4.2.�.2.4.4.2.4.2.�.2.2.�.2.4.2.4.4.2.�.2.4.2.4.4.2.�.2.2.4.4.4.2.�.2.2.4.Q-SEH4L Pm<QPQV7L�/2K7HQR[<�����`��I��^- .W<QPZV7LWjI@4<YBWH4]#R K7HQR7P�K2B[@ZP7< B7HOJQVIH�B�FIP�KOHQGIu4PIDYB&@CV[<?B7JQV[DQP�.�-<ZPQV7L4/2K HQR[<~� ��`IpsrE� � �E@?]�VIH0R K HQR[<�` L HQV2B,<QPQV7LOJQV w4B4FA@CV U<ZPQV7L4/2K HQR[<~�h@?La��v7H�v4w�RIP�`�v7HQ��XZS�`�� P j7��` /2K7HYR[<2� n2\6ZX Bd|2| S~<YUM��v H�v2w4RIP�`sX2R7L�"7J2j�� @YLa� v7HQv4w4R7Pa`sv7HQ��XQS `�� P jI�A`�/4K7HZRE< ����^- .2.2.2.2.4.2.2.2.2.4.2.2.2.2.4.4.2.�.2.2.4.4.4.2.2.�.2.4.4.4.2.2.�.2.4.4.2.4.2.�.2.4.4.2.4.2.�.2.2.�.2.4.2.4.4.2.�.2.4.2.4.4.2.�.2.2.4.4.4.2.�.2.2.4.Q-SEH4L Pm<QPQV7L�37H2J4La����`���`���`���` ��`��4��^ �76YX B2�[@Qj�Pa` _CV[<?B 5E@4<CB�` 37H4J�L4/�K7HZR[<~`�434B2�2K7H?S ` e2PQV7Lk_YLM`��2PQ>[_Y5�I<QPQV7L#B7H,<YB2K7JI@?U4F B�B H�U7PQBbDZJ�KE<l]4K7H?SbH�B�FIP�K�LE@?K�V<ZPQV7L437H4J4La� 6ZX2B2�[@Qj4P�`=_CVk<YB 5k@�<?B�`Ip�K7P2jYVM� DQHhSIR7H7<QP�L76Z]M`=@?La��K7H�J4LM`s37H4J4L�� Ha` �IP2jI_4��`�� P jI�a�}3 PI<CB rM`psL PI<4D~� ]4K7HCS � �[@?KE��`��IP4j��E�a��3 PI<CB���ra` e4PQV2LE_YL�`�� PQ>[_?5E� n2\j4PQV U2B�F���37PI<?B�`�5 PQV[�C�> K[@?B7P�5E@4<YB z2HQV7La��XE<ZP�KI�QHQX2B�R4X B�` 5 PZV�`Ipse2PYV7Lk_?LM` DQHhSIRIH <QP�LM`�H�]M`S[H�K7P�`�B4FIJQV�` HQVIPa`=@hV��4VM`�3 P7<YB2rE�h�j4PQV U2B�F���37PI<?B��a`�5 PZV��k�?�> K[@?B7P�5E@4<YB z2HQV7La��XE<ZP�KI�QHQX2B�R4X B�` 5 PZV��a`7p e�PQV Lk_YLa`�]QK7H?Sd`�SEH�K P�`B4FIJQV�` HQVIPa`�LE@?K4Vx` 3 PI<YB��4rk�C�6ZX Bd|2| S~<YUM� <?B2K7Jk@?U�F2B�` JYV wE_hVE<YBM� �7HZX4V7L2e�B�K�` K P jYV�� DQH?S RIH7<QP�L 6�]�`@YLa��K H2J4LM`�3 H2J4L4�7H�`��IP j _2��`��IP2jI���2�C�U7P�B[_YL454�2K7H?S~_CV[<YB 5����7HQX�V7L2eQB4K�`��2HQX4V LE_?Lk<4�?�%�2�2�2LI<D?FIPID�4v7J�K2U7PQBM� 6ZX B4�E@Qj4P�` _hVE<?B 5E@Q<YBM` B7JQK2U2P�B76Q]M` �7HYX2V7LI_YLI<�`e2PZV7LE_YLM` �7PQ>A_Y5k� �<ZPQV7L437H4J4La� 6ZX2B2�[@Qj4P�`=_CVk<YB 5k@�<?B�`Ip�rM` ��` ��` _ V[<?B25E@�<YBk� � � P?SIR2B2w,DQH?SIR7HI<?X K7P<ZPQV7L437H4J4La� 6ZX2B2�[@Qj4P�`=_CVk<YB 5k@�<?B�`���`Ip ra` ��` _ V[<?B25E@�<YBk� � � P?SIR2B2w�]4K7H?S jI@�<YB�2P�K2K7H�K<ZPQV7L437H4J4La� 6ZX2B2�[@Qj4P�`=_CVk<YB 5k@�<?B�` f4K7HZV2UA�A` f4K7HZV2U���` f4K7HZV2U ��` _ V[<YB45E@�<YBE� n4\> K[@?B7P�5E@4<YBM��6ZX B2�[@Zj�Pa`Ip}GIJ�La` DQJ j�j�` B Ha` <QPYV7L�3 H2J�LM` @CVx`sU[@Ci7PZf7J�w��7BM` @YP�` f4K7HQV2UA�[`f K7HQV2U��a` f K HQV U �4rk��^- .2.2.2.2.4.2.2.2.2.4.2.2.2.2.4.4.2.�.2.2.4.4.4.2.2.�.2.4.4.4.2.2.�.2.4.4.2.4.2.�.2.4.4.2.4.2.�.2.2.�.2.4.2.4.4.2.�.2.4.2.4.4.2.�.2.2.4.4.4.2.�.2.2.4.Q-SEH4L PmD?FIPID 2v7J�K2U P�BM����` ��`���` ��`���` �4��^ �76YX B2�[@Qj�Pa` _CV[<?B 5E@4<YBa`�v7JZK2U437P2jYVx` z HCS2SEeQB2Ka` e2PZV Lk_YL�`��7PZ>[_?5�QGIP4] H�K PWDYK7P2J�BE@CV U�B4F7Pb_CVE<YB�`tD?FIP7D�&DQJ�Kb@4<%RIHk@CV BE@CV U�B7HZ>IJ�K Lm<?X4GIu2PIDYBDCFIPID�2v J�K2U7P�Ba� 6ZX B2�E@Zj4P�` _CVE<?B25E@4<CB�` v JQK2U232P jYV�`Ip _YLd��3 P7<YB2rM`�e2PQV2LE_?LM` � PQ>E_Y5k� n2\6ZX Bd|2| S~<YUM��X2v4X K4Vx` U P�B "2J j�� e4PQV7LI_YLa` K7P2jZVa� DZHCSIR7HI<YP4L76Z]M`@YLa� DZJ�K�` JQV2w�` GIP j7��` GIP4jI��`�e2PZV7L�z JQK4/2K HQR25E@4<CB[�4�?�U7P�B2v2w�RIP��h_YLa` _YL4v2w�R7Pk�?�

Page 13: c3 242 c2 242 c1 242 - University of Edinburghhomepages.inf.ed.ac.uk/rbf/BOOKS/DANCE/dance2.pdf · 2004-12-22 · b g Q ! &+'Q(c1_316 c2_316 c4_316 c3_316 c5_316 c6_316 &j*o(-.m

� � ����� ��#����� �T� ���#�b��@� � � �b� "&���

6ZX2Bd|2|}S~<?UM�h_YL4v4w4RIP�` U7PQB "2J j��=_YLa`�K P2jZVa� DZH?S7R7HI<YP4L76Q]a`=@YL�� DQJQKM`�JQV wa` G7P2jI��` G P j7��`z J�K2/4K7HQR75E@�<YB[�2�?�D?F7PID�2v7JQK2U7P�B���� 6ZX2B4�[@Zj4P�` _CVk<YB25E@�<?B�`sv7JQK2U43 P j?Vx` _?La`�z JZK2/2K HZR 5E@4<CB�`e2PQV7LE_?LM` e2PQV L2z J�K2/4K7HZR75k@�<YBa`�� PQ>[_?5A�Z�?�D?F7PID�2v7JQK2U7P�BM��6ZX B4�E@Qj�Pa`s�7PQ>E_Y5[�A` v J�K�U23 P jYV�`�32PI<YBM`�e4PQV2LE_YLa` � PQ>A_C5E� �D?FIP7D�2v7J�K4U7P�BM� ��` _CVE<?B 5k@4<CB�` ��`Ip rM`���` _ V[<?B 5k@�<YBk��^-7.2.4.2.2.2.2.4.2.2.2.2.4.2.2.4.4.2.4.2.�.2.4.4.2.4.2.�.2.2.�.2.4.2.4.4.2.�.2.4.2.4.4.2.�.2.2.4.4.4.2.�.2.2.4.4.4.2.2.�.2.4.4.2.4.2.�.2.4.4.2.4.2.�.2.�-S[H4L2P,DCFIPID�2v J�K2U7P�B�������`���`���` ��` ��` ��`���`�����^�4U7PQBOB�FIPm< @CV UIj�PWDQJ�KW]4K7H?S,B4FIPOjI@�<YBE<lz J�K2/4K7HQR75E@�<YB0�O3[@?U4F2B z J�K2/4K7HQR75E@�<YBM` <QPQV L�4B7HO6QKk<0B7H#]E@hV7L&@Y]bDZJ�K&DQH?S�@CV2UOB J�K2U7P�Bk<lj4P4]4BM` @?]b<QHmDQJ2j2jWDYK7P2J�B P�^�2]E@CKE<YB,D?FIP7D�&DQJI<QP0>2FIPQK7PW<QPQV7L2P�K&@4<lB7J�K2U7PQBOH4]bDZJ�K�B7H�UE@?i7P0>IJ�w�B7HD?FIP7D�2v7J�K4U7P�B�����6ZX B4�E@Qj�Pa` _CVE<?B 5k@4<CB�`�B2J�K4U7PQB76�]�` _?LM`7p�K7P4jZV��=DZHCSIR HI<QP�L 6Q]M`�z4J�KE_?LM`��IP4jI�a�}37P7<YB4rM`e2PZV7LE_YLM`7p K7P jZVM� DQH?S RIH7<QP�L 6�]�`�z2J�K e4PQV2LE_YLa`��7P j �k�M�}3 P7<YB�� rM` � PQ>[_Y5I� n2\6ZX2Bd|2|}S~<?UM� DQJ�KM`�U7PQB#"7J2j���z J�Kk_YLa`�L2P7<2DA��K P�i PQKE<YP4LM`sG7P2jI�A`�37PQB�X2K4VA���?�K7PQi7P�KE<QPQ37P jZV���B7J�K4U P�B76�]�`�37PZB4X2K4V�` 3232P jYVA�C�D?F7PID�I6QKk<~��3237P2jZVx`�z2J�K e2PYV7LE_CLM`�z JQKE_YL�`�� HQX4V L4/�K7HQRE<2�C�DQHZV7L2z4K7P4J�B7Pk_CVE<YBM��6YX B4�[@Yj4Pa` _CVE<YB25k@4<CB�`=_YLa`�z JZK[_YLa`�e4PQV2LE_YLa`�z2J�K7e�PQV Lk_YLa`�7HQX2V7L�/2K7HQR[<~`��7PQ>A_?5E� ���VIPQ�2B&D?FIPID�,DZJI<QP0>2FIP�K PW<QPQV7L PQK @�<lB J�K2U7P�B4B[@CV UmDZJ�K�B7H�UE@?i7P0>IJ�wD?FIP7D�2v7J�K4U7P�B�����6ZX B4�E@Qj�Pa` _CVE<?B 5k@4<CB�`�B2J�K4U7PQB4B[@ V UM` _?La`Ip�K7P jYVM�=DQHhSIRIH7<ZP�L76�]�`�z2JQK[_?LM` �IP2j7�M�}37P <YB r�`e2PZV7LE_YLM`7p K7P jZVM� DQH?S RIH7<QP�L 6�]�`�z2J�K e4PQV2LE_YLa`��7P j �k�M�}3 P7<YB�� rM` � PQ>[_Y5I� n2\6ZX2Bd|2|}S~<?UM� DQJ�KM`�U7PQB#"7J2j���z J�K2e2PZV7Lk_?LM` L P7<2D���K7PZi7P�Kk<ZP�LM` GIP j7��` 37P�BQX K�V[�2�C�K7PQi7P�KE<QPQ37P jZV���B7J�K4U P�B4B[@ V U�`s37PQB4X2K�Vx`s323 P jYV[�?�D?F7PID�I6QKk<~��3237P2jZVx`�z2J�K e2PYV7LE_CLM`�z JQKE_YL�`�� HQX4V L4/�K7HQRE<2�C�DQHZV7L2z4K7P4J�B7Pk_CVE<YBM��6YX B4�[@Yj4Pa` _CVE<YB25k@4<CB�`�e2PZV LE_CLM`�z2JQK e2PYV7LE_?La`_YLM`�z JQK[_YLM`�� HQX2V7L4/4K7HZR[<~` �7PY>A_?5E� �D?FIP7D�2v7J�K4U7P�B�����6ZX B4�E@Qj�Pa` _CVE<?B 5k@4<CB�`���` _?LM`7p rM`�e2PZV7Lk_?LM`���` _hVE<?B 5I@4<YBE� n2\> KE@?B7P45E@�<YBM� 6ZX2B2�[@Zj�Pa`7pQ: �2K2K2H�K�@CV�DCFIPID�2v J�K2U7P�B��a`NU H�B#VIH&DZJ�KE<�DQH?SIR7HI< @CV UM:2`_YL2rE� �D?FIP7D�2v7J�K4U7P�B�����6ZX B4�E@Qj�Pa` _CVE<?B 5k@4<CB�`�\�` _?LM` ��` e�PQV LE_?La`Ip�rM` _hVE<?B 5I@4<YBE� n2\> KE@?B7P45E@�<YBM� 6ZX2B2�[@Zj�Pa`7pQ: �2K2K2H�K�@CV�DCFIPID�2v J�K2U7P�B��a`NU H�B#VIH&DZJ�KE<�DQH?SIR7HI< @CV UM:2`e2PQV7LE_?L2rE��^-7.2.4.2.2.2.2.4.2.2.2.2.4.2.2.4.4.2.4.2.�.2.4.4.2.4.2.�.2.2.�.2.4.2.4.4.2.�.2.4.2.4.4.2.�.2.2.4.4.4.2.�.2.2.4.4.4.2.2.�.2.4.4.2.4.2.�.2.4.4.2.4.2.�.2.�-S[H4L2P#K P�i7P�KE<ZP�37P jZVM����`���` �4��^�E@Y]#37PQB4X K4VO]4K H?S�DQJ�KbDQHQV B7JI@CV[<�L P7<2D~��K7PQi7P�KE<QP�LM` GIP4jI�~` @ZP,@4<%VIHQVk\4PCSIR B2w�`�4B�FIPQV#R2X B :��x: HQVWB4FIP�PQV LWH�] @CV4R2X B�K7P jZVmJQV L#R7JI<2<�GIJID�K7P�i P�KE<QP�3 P jZV���3 P jZV�`7psL2PI<�D~��K P�i P�KI<QP4L�`��7P j��E�Yr�`�� PQ>23 P j?VA� n2\DQHZV[DQJ�B7eQB2KM�kp 3 P jZV�`4:2:4:��M:2:2: rM` �7PZ>237P4jZV[� �K7P�i P�KE<QP�3 P jZV���3 P jZV�` ��` 37P4jZV[��^-7.2.4.2.2.2.2.4.2.2.2.2.4.2.2.4.4.2.4.2.�.2.4.4.2.4.2.�.2.2.�.2.4.2.4.4.2.�.2.4.2.4.4.2.�.2.2.4.4.4.2.�.2.2.4.4.4.2.2.�.2.4.4.2.4.2.�.2.4.4.2.4.2.�.2.�-S[H4L2P,DZHQV7L2z4K P2J�B7Pk_hV[<YBM����`���` ��` ��` ��`���`���`�����^ �76ZX B4�[@Qj4Pa`=_CV[<YB 5k@4<YBM`�eI@?U4V#�7P7<4D�`� eQB2K7Jk@?U�F B[_YLM`�e�B2K2z2J�KE_YL�` e�B��[@CK�`�e4PQV2LE_?LM`�z2J�K2e2PQV Lk_?LM`�e2P��E@CKM`��7HYX2V L�/2K HQRk<�` � PQ>[_Y5

Page 14: c3 242 c2 242 c1 242 - University of Edinburghhomepages.inf.ed.ac.uk/rbf/BOOKS/DANCE/dance2.pdf · 2004-12-22 · b g Q ! &+'Q(c1_316 c2_316 c4_316 c3_316 c5_316 c6_316 &j*o(-.m

"���� � ����� � ���� � ���K���8� �������u�8� �@� ��b�8���

�4L HQV B&DYK7P4J�B7Pm@Y]��7HQX2V L4/2K7HQRE<�@4< psrDZHQV7L2z4K P2J�B7Pk_hV[<YBM� ��`=_CVk<YB 5k@�<?B�`���`���` ��`���` psra`=_CVE<YB45E@�<?B[� ���B7PI<YBb@Y]#VIPQ>bDQH?S7RIHQVIPQV2BE<�J�K Pb@CVmP��E@4<YB[@CV2U&_CV[<YB�`tD?K7P2J�B7Pm@?]�VIHQBDZHQV7L2z4K P2J�B7Pk_hV[<YBM� 6YX2B2�k@Qj4P�`=_hV[<YB45E@�<?BM` _YL�`�z2JQK[_?LM`�e2PZV LE_?LM` z J�K2e2PZV7Lk_?LM`s�7HZX2V L�/2K2HQR[<~` � PQ>E_Y5E� n2\L�X2RIPk_hV[<YBM�h_hV[<YB 5E@�<?B�`Ip�K7P2jYVM� DQHhSIR7H7<QP�L76Z]M`=_?LM`sGIP4jI�~`K7P jZV��=DQH?SIRIH7<QP4L76�]a`�e2PQV2LE_?La`sGIP j �Yra` �4X4RA_CLk<2�C��#�4X2RA_?Lk<�@4<�jI@4<YBWH4]b_YLk<0H4]b_CV[<?BE<�>A@?B4FbDQH?S7RIHQVIPQV2BE<�4X2RA_YLI<%o � o psrx|DYK7P2J�B Pk_CV[<YBa� 6ZX B2�E@Zj4Pa` _CVE<?B25E@4<CB�`=_?LM`�z JZK[_?La` e4PQV2LE_YL�`z J�K7e4PQV7LE_YLa`Ip K7P jYV���� LZXQS `=_YLa` e�PQV Lk_YLa` G P jI�CrM` �7PZ>[_Y5I� � �2�2Lk<�2H�KmL2H�V7H�B4FA@CV2UDZHQV7L2z4K P2J�B7Pk_hV[<YBM� ��`=_CVk<YB 5k@�<?B�`���`���` ��`���`���`=_hV[<?B 5I@4<?BE��^

- .2.2.2.2.4.2.2.2.2.4.2.2.2.2.4.4.2.�.2.2.4.4.4.2.2.�.2.4.4.4.2.2.�.2.4.4.2.4.2.�.2.4.4.2.4.2.�.2.2.�.2.4.2.4.4.2.�.2.4.2.4.4.2.�.2.2.4.4.4.2.�.2.2.4.Q-SEH4L PmDYK7P2JQB7Pk_CV[<?BM����`���`���` ��` ��`���`���`�����^ �76ZX B2�E@Qj4Pa` _hV[<YB 5E@�<YBM` eI@CU4V#�7P7<2D~`�e�B�K7Jk@CU�F2B[_CLM`� e�B2K z2J�K[_YLM`�e�B �[@?KM` e4PQV Lk_YL�`�z2J�K e4PQV2LE_YLa`� e2P��[@CK�`��ZX[<?B4Vx`��7PZ>A_?5�IDYK7P2J�B PlVIPQ> @CV[<YBk<0]2H�KlS[P?SIGIPQKE<lH4]Oz H?S2S[eQB2KD?K7P2J�B7PI_CV[<YBM��6ZX B2�[@Zj�Pa` _CV[<?B25k@4<YBa` _?La`�z J�Kk_YLa`�e2PZV7LI_YLa`z JQK7e2PQV7Lk_YLM`��ZXE<YB4Vx`��2PQ>[_?5E� n2\U7P�B2�7PZ>k6QKE<Y12L2L4KM��� PZ> �7H7�?�GIP jQv4>7H 6�]4�M���ZX[<YB4V�` �7PQ> �IP2j7�C�X2VA@ZHQVM�kp�@CV[<?BM�h@YLa��UE@?i7PYfIJQw�� B�`��2PQ>2� Ha` �7PY> �7P2jI��`Ip�K7P j?V��=DQHCS7RIH <QP�L76Q]a` _CLM` G7P2j7�~`K7P jZVM� DQH?SIR7HI<QP4L76Q]a`�z JZK[_?La` G7P j �~` K P jYV�� DQH?S RIH7<QP�L 6�]�` e4PQV Lk_YL�` GIP2j7��`K7P jZVM� DQH?SIR7HI<QP4L76Q]a`�z JZK7e4PZV7Lk_YL�` G7P2jI��`L PI<2D�� <?X2GIu4PIDYBM� z2JQK[_YLI�~`sG7P j7�Yr�`��YXE<YB�VA�CrM` _ V[<?B 5k@�<YBa`�� PQ>[_?5E�h�U7P�B "7P2j�� z J�K e2PQV7LE_?La` "7P4jI�C�i7P jQ/4F2K7JI<QP�� "7P j�`�/�F2K7JI<YPk�C�VIJ?S[P���� 5M`Ip=�C{a`C� �4rk�C�6ZX Bd|2| S~<YUM��K PI<?XkjQBM` K7PI<hXkjZBa�IpQ:2:�:�8k@Ci7P fIJ�w�B7HW6ZV[DQH?S~@CV Ud|l:4:2:2`�z JQK7e2PQV7Lk_YLM`��45M`:2:2: �E\QB�X K4VA@CV2U�:2:2:2` /4F K J7<QP�`�B2Ha`�z2J�KE_YL�`�U7H7@CV2U�`<YB2K7JI@?U4F B�`4:2:2:7| :2:2:2` � 5M`��7PZ> �IP j�rk�2�C�> K[@?B7P�5E@4<YBM��6ZX B2�[@Zj�Pa`Ip J4L4Lk@hV U�` @CVE<?B�` �7PY> � H�`=DZH?S RIHI<YP4La` H�]a` _CLM`�e2PZV LE_CLM`�z2JQKE_YL�`z J�K7e4PQV7LE_YL4rE�?�U7P�B2�7PZ>k6QKE<Y12L2L4KM��� PZ> �7Hk���C�6ZX Bd|2| S~<YUM��UE@?i7PQfIJQwM`=DYK2P2JQB P��h@YL���UE@Ci7PZfIJZw�` � PQ>2�7Hk�A`��2PQ> �IP2j7�~`p K7P jYV���U[@?i PI<?fIJ�wM`�z J�Kk_YLa`sGIP2jI�A`�K P2jZVM��Kk@?U4F4BI6Q]�f7JQw�` z JQK7e4PZV7LI_YLM`sG7P2jI�CrE�2�C�<QPQV7L4/4K7HQR[<~� _YLM`Ip K P2jZV��sRIJQK4B76�]M` @YL���U[@Ci7PYfIJQw��7BM`��2PQ> �2Ha` �7PZ> �IP4jI��` G7P2jI�CrE�?�<QPQV7L4/4K7HQR[<~� e2PQV7LE_?La`Ip K2P jYVM� RIJ�K�BI6Q]a` @?La� U[@Ci PQf7J�w��7B�`s�7PZ> � H�`��2PQ> �IP2j7�~` GIP j7�?rk��^- .2.2.2.2.4.2.2.2.2.4.2.2.2.2.4.4.2.�.2.2.4.4.4.2.2.�.2.4.4.4.2.2.�.2.4.4.2.4.2.�.2.4.4.2.4.2.�.2.2.�.2.4.2.4.4.2.�.2.4.2.4.4.2.�.2.2.4.4.4.2.�.2.2.4.Q-SEH4L P�i7P jQ/�F K7JI<QP�����`��4��^ �76Q]2] PQV7Lk_YLM`�i7P2j4HID2@CB2w R2F K7JI<ZP�I<QPQV7L%S~<YU�B7H#K7PI<CXkjQB,DQHQV LE@?B[@ZHZVIJ j X4RIHQVb<?RIP2P�L�H4],6Q]2] PQV7Lk_YLi P jQ/4F K JI<QP��kp rM`2:2:2:�U[@Ci7PI<�>IJ�w :2:2:=� � �4i7P j4H7D @?B2w0X4V 4VIHQ>4Vi P jQ/4F K JI<QP��kp "7P j�rM`4:4:2: FIJI<tU[@?i7PZV#>IJ�w�:2:4: �ln2\<YB7HQR2R7P4La� "7P2j�`=<YB7HZR4RIP4LI��|B2K4XIP �

Page 15: c3 242 c2 242 c1 242 - University of Edinburghhomepages.inf.ed.ac.uk/rbf/BOOKS/DANCE/dance2.pdf · 2004-12-22 · b g Q ! &+'Q(c1_316 c2_316 c4_316 c3_316 c5_316 c6_316 &j*o(-.m

� � ��� � �#��� � �T� � �#���@� � � �b� " ��"

i7P jZ/4F K7JI<ZP��kp "7P2j�rM`4:4:2: <?F HQXIjQL F7J�i7P;��G2X B#FIJ7<?V���B[� UE@?i7PQV#>IJQw�:2:2: � �i7P jZ/4F K7JI<ZP�� "7P j�`��I� n2\> KE@?B7P y wa�kp P�K2K H�K�`=@hVx` i7P4jQ/4F4K7J7<QP�`sRIJZK7JCS[PQB P�Ka` @4<~` " P jZrE�?�] JI@QjM^-7.2.4.2.2.2.2.4.2.2.2.2.4.2.2.4.4.2.4.2.�.2.4.4.2.4.2.�.2.2.�.2.4.2.4.4.2.�.2.4.2.4.4.2.�.2.2.4.4.4.2.�.2.2.4.4.4.2.2.�.2.4.4.2.4.2.�.2.4.4.2.4.2.�.2.�-S[H4L2P#U P�B "7P j�����`��4��^N�E@YL�� z J�K�`�z J�K2�7H�`��7P j7��`Ip�L P7<2D���i7P4j�� " P2j ��`�"7P j��E��`��IP4j�"E�?r�4U7PQBOB�FIP�i7P j4HID2@?B2w�L PI<4D%]4K7H?S�DQJ�KM` @?]�VIHQBOB�FIP�K7P�K7P�B�X K4V psr �2��i7P jU7P�B#"7P j��h@?La� z J�KM`�z JQK4�7H�`�� P j��I�~` "7P4j�5E@Q<YBE� n2\6ZX2Bd|2|}S~<?UM� z J�KM`�U7PQB#"7J2j��=@YLa��z JQK�`�z2J�K��7H�`��7P2j#�7�~`�L2P7<4D~� i7P j�� JZV w�`�JQV2wE�~`sGIP4jI��`

" P j�5E@4<?B[�2��^

PQV7L�^

Page 16: c3 242 c2 242 c1 242 - University of Edinburghhomepages.inf.ed.ac.uk/rbf/BOOKS/DANCE/dance2.pdf · 2004-12-22 · b g Q ! &+'Q(c1_316 c2_316 c4_316 c3_316 c5_316 c6_316 &j*o(-.m

� ���Z��¤�H� � �H�

: ¬ ?��������� � ������+�0�23K $7`,D!}��#GF FZ �3W��,.-� "-V3W�1-2%K "3PjVI�FQ�) $U&�V3W�)6~%Kfg#J#.3W�� "-�U�a����������� �����#����� �! ���" �$# ��� ���%� �'& � �)( �*���+� �����-, ����.���� �/�������%(�( � ������� �"010.X}>¡t¢��,`j¬�­ � ­ wOa

:�<@?���2323�54��6���87 ���:9;� �)(=< �����)9�3���?>�����%�@���������������.a �Q�)-@¥K,.fg $-BA.¦QL�fifg $-2U&%1X���)-�!$#g��,.(KRYX ¬�­ �V�Ja

:=�D?���4DCE�BFG��B4��IHJ�LKM�:�"N�23�B��B4��OKM��PQ�:�R�S�B4D��54��OT/�LUQ�:�OVW4DCX�S�54D��B4��T/� � �+bk�XY�,y%K�2�1!$!�Cm#&(d82L� $!"6� $-�U �Q,�j.�1%' �,.- 89�1!" $�OCsL2-� "e.�1(K%'�1%uCm#.(d�O�A�N�)('3%hjA%h3W�)fi%)aEbP-6�[Z]\D&^�%_a`3b¤tv*0�)3W('#& "31X���L2U&L�%'3 ¬�­ � ­ wOXA���na ¬*c � c Y ¬*c �V>Aa

:��.?���4DCEFG�D�edR�f��g"�BFGh1iJj��kPQ�f�"VW4WCmlI���* ���no� �0- 3W�2�¡%K $fpL�!"3W,.-��1#.L�%u "-AI3K�1(K�2(K�)3W,D3W "#&-�#.C0('�`,.!oFE#&('!$6; $fi,.U&��%K� �TL��1-�7)�1%�,D-�6©3K���1 "(d-5,D3WL2(W,.!�!$,.-�U&L5,DU&�6��)%K7)(K $�A3W $#.-�%qpo3K���p%hjA%h3W�)f����4¦�¦ �Mq4a�bP-$�r\D&^�R`1`3sJ#t�@ *� � � �������u�" av �w.��R`.�w.�%9��@ �x�� ���y�� �zv �%� ����� �� � �)� � � {���� �)( ����� �%(�( � ������� ��t }|dX ¬�­ �&�&wOX5~Sa�|+#J6�(W,D3K# ��X��6na�X5���na5�&� ­ Y2>D��a

:�>@?��/VW�����q���=lk�:�L�SiJ��D���=���f�rK-F�iW G�DiG�t�=d��f�rVW4DC��E�LVWFG����it�r���/§¨�0�s*sI��¦Q����pZ,�-5,D3KL�(W,.!�!�,.-�U.L5,.U&�y,.-26 7)#&fg��L23W�)(�eA "%K "#&- %'jJ%'3K�1f Cm#&(�,.-�,.!"jJ%K "-�U,.�)(K $,.!� "fu,.U.�1%1a�bP-Q�[Z]\D&}�/`3�1��#t�@ *� � � �������u�� av ��.��=7 �����w.o� ���f(�Z� �����^\t �zv� �&r� � � {���� �)(J� ��� �%(�( � ������� ��t ¬�­ �V>.wOXrbP-V3I�.#& $-V3S7)#&-2Cm�)(K�1-271�1%p#&-¤��(h3W �«571 $,.!�bP-V3W�1!"!$ IU&�)-�71�4bP-�7DXN��#&(KU&,.-�|_,DL2Cmfu,D-�-na

: �D?��/VW2�C��-��4��r���i�AL����9#&('34!"#&U& "7p��('#&U&(W,Dfifg $-�U2a+bP-y��9����#�o�3�����"_���.��� u��� �����&�x1x5( �!� ��� �! ������#t�@ *� � � �������u�- av�7�&�����&0�� ����� � ��� �f9$���o������� ���f9�� �OX��paW�.#.-��1%�O3�,D!�a�X ��6�%1a9qZ�1 "6��1!¨��L�8�a�¦Q#2a"XY��#&('FE�1!"!�X5���pX ¬�­ ���2a

¬ �V<

Page 17: c3 242 c2 242 c1 242 - University of Edinburghhomepages.inf.ed.ac.uk/rbf/BOOKS/DANCE/dance2.pdf · 2004-12-22 · b g Q ! &+'Q(c1_316 c2_316 c4_316 c3_316 c5_316 c6_316 &j*o(-.m

������������� ��� � " ���

:=�@?����B232B�����f�]VE4DC�� V����r�]TO�¨¦Q#.-T3K�O�J3MRT-�#�FZ!$�)6�U&�Z,.-�6�%'�`,.('7[�g7)#&-V3W('#&!� $%'%KL��)% $-y#&8J¥'�)7)3hIP#&(' $�1-V3K�16/��(K#&!"#&UDI�85,.%K�)6y $fi,.U&�dL�-�62�1(K%h3[,.-26� $-�U2a # ��� � �%� �� ���� ������_� �! ��<���� ���%���R0��&X���tm����(' $! ¬�­.­ <&wOX5<&� ­ Y2< ­�c a

:��D?���������Di������ ��T/�f��VW4DC��=VW�52323����no��§¨�1,.(K-� "-�U�%'3K(KL�7O3WL�(K,.!�62�1%K7)(K "�23W "#&-�%Z#.C�5,D3'3W�1('-�%qp\,B-��OF�3W�17[�2-� ��TL���Cm#.(c7)#&-�6� �3W "#&-5,.!57)!$L�%h3W�1(' $-�Up,.-�6i(KL�!"�sU&�)-��1(K,D3W "#&-na# ��� ���%� �� 0���� ������� �! �����`XY>�t ¬�­&­ �Tw X��&� ­ Y&� ­ �Aa

: ­ ?���iE������t�S����T/�f��VW4DC6�OiJ2323�B����lk���"�T�����M(K�1�2(K�1%'�1-V3[,@3W $#.-B%'�5,.71�M�5,D(W,.6� "U&f#.CJ71#&-271L�('(K�1-V3��)e.#&!"eJ "-�U�#&8J¥'�)7)3�6��1%'71(' $�23K $#&-�%)a1�@����� �S� �����#����� �! ���� ��# ��� � �%� �& � �)( ����+� �����", ����.���� �^�������%(�( � ������� �O0��5X9<�t �5�18 ¬�­&­ <&wOX ¬ �"�Y ¬ >��2a

: ¬*c ?���iECE��4DjJ �iJ4��elk�:�-H�D2323�+��VW4�� PQ�:�"VE4DC �/VW�J�BF���KM� �r�2�9�1(' $fg�1-V3W%u#&-3W����L�%'�i#DCQ3W�2�i�����~�¡3W#�!�,.89�1!�Cm�`,D3KL�(K�)%_Cm#&(4#&8T¥'�17)3B(K�)71#&U.-� "3K $#&-nadbP- \t �I_x59&���%�"!�+���! �o_J�=\�\#!Wb%$�tv�s-V3W $89�1%)X �5(W,.-�7)�.XT���2(K $! ¬�­&­�c wOXT�Sa"�Y,.L�U.�1(W,D%1X ��6na�Xe&#&!¢a2�T<.�d#DC�<�����:9;� �L7O � ��� ��� \t �rx59&���%�=����� ����� �OX�bk��qZbP�pX5�A��(K "-�U&�)(�&M�1(K!$,.U�X���na9>D�V<*Y2>&> ¬ a

: ¬&¬ ?���iEj 23�BF����R�'�}�;�J�5,DCm�1(kIk*0�)fi��%h3W�)(S(K�1,.%K#&-2 $-�U�FZ �3W��,.�2��!$ "7`,D3K $#&-�%43W#¡fpL�!�I3W "%K�1-2%K#&(p3W,.(KU.�)3d "6��1-V3W �«57`,@3W $#.-¤%'jJ%'3K�1fg%1ay�@����� �S� �����#����� �! ���Q �y��������(�����, ��� �����M\ ��)��%� � ��� �!���L�S, \ _ 0*�`X,��tv�s#�e&�)fS89�1( ¬�­ �V�&w X ­ �.�Y ­ �&�Ja

: ¬ <@?���D4D�J�D�Dg �\��jJ8�(' $6ufg�)3K��#J6�%E "-i��,D3K3K�1(K-u(K�17)#&U&-� �3W "#&-na�bP-�# ��� ���%���+ ���� ������_� �! �$��.��� u��� �����=&�x1x5( �!� ��� �! ���OXV��a&�BaV*0�)eJ ¥'�1(�,.-26o�2a�|4 �3K3K!$�1()X ��6�%)a"XVe&#.!�a"�\� c#.C�7�&���� &=�;�Oa9�J��(K "-�U&�1(kI,&M�)(K!�,DU�X ¬`­ �V�Aa

: ¬ �D?-�LVW�B232����Eno�:�EVW4DC/.eFG�5���BF��G���Q�A#.fi�s-��)F 3W�)7[��-� �JL2�1%�Cm#&(Q�OeJ $6��)-�71� IP85,.%'�16#&8J¥'�)7)3c(K�)71#&U&-2 "3W "#&-�p � �cIh�+qs� ¬ a9bP--� &=#0 }_ b1��#t�@ *� � � �������u�Bt¢�s,.U&L��DX2�J�1�23K�1fdI8N�)( ¬�­&­ <.wOX�����a5�T> c YJ�V>&>Aa

: ¬ �.?-�/�GVWFG4D� VE�t�Ed��f�DVW4WC32 ��.e�BF4=iE � �5.Q� �����:�@ �)9B��� �! � �a L&r� � � {���� �)(��������%( _( � ������� �Oa\��626� $%'#&-AI ���1%'!$�Oj&XYqZ�`,.6� "-�U�XY��,.%K%K,.7[�TL�%K�O3K3W%)X ¬�­ �V>Aa

: ¬ >@?-�/�76BiJ2321V���lk�f� VW4DC98rV�4}V�4riE Git�:2 �Z�J3K�1('�1#&%'71#&�� "7_3K(W,.7[RT "-�Ui#DCr89#A62 $�1%Z "-fi#D3W $#.-na��;� �3��� �����<! �+���! � \t �rx59&� �����o`&X ¬ tmCm�)8�(KL�,.('j ¬`­&­�c w X5�V>*Y ­)c a

Page 18: c3 242 c2 242 c1 242 - University of Edinburghhomepages.inf.ed.ac.uk/rbf/BOOKS/DANCE/dance2.pdf · 2004-12-22 · b g Q ! &+'Q(c1_316 c2_316 c4_316 c3_316 c5_316 c6_316 &j*o(-.m

"���� ������������� ��� �

: ¬ �D?-�L23VW4D�������:� �������A "3KL5,D3K�16¡71#.U&-� "3K $#&-�ps��#�FH('�1��('�1%K�)-V3[,D3K $#&-�%4,D(K�S7)(K�`,@3W�16,.-26�,D-�6�U. "e&�)-�fg�`,D-� $-�U2a\bP-M&r�0 �& 01b1b10���� �rx� *����9 � t�¦Q�� "7`,.U&#2X ¬�­&­2¬ wOa

: ¬ �@?-�LiJ4D23iJ4��tne�=#t�@ �)� �1� � ����� ���6#]&' ^<�� � aE��6�6� "%K#&-JI ���1%K!"�)j.X����1-�!"#u��,.(KRYX¦o,2a�X ¬�­ � ­ a

: ¬ �D? .RVW4D���D��HJ�:�tVW4DC �=VW�52323����ne�p�0-�3W�2�p%'jJfS89#&!" $7_ $-V3W�)(K��('�)3[,@3W $#.-�#.C�3K(W,��g7%'71�1-2�1%1aubP- &R\�\#!Wb��Q#t�� *� � � �������u�e av �w.���&r��� ��� \t �zv �%� ����� �o � \t �rx59�� �%�! �+���! ��t��0%K,.R@,o�&,.��,.-nX�-�#�e.�1fS89�1( ¬�­&­ �&wOX�����a9� ­ �YA� c2¬ a

: ¬�­ ? .RVW4D���D�IHJ�:��VW4DC �LVW�B2�23���Rne�x� %'jJfS89#&!$ "7�#&8J¥'�17O3'I�#&(K "�1-V3W�)6©�� "7)3KL�(K�� "-AI3K�1(K�2(K�)3W,D3W "#&-x-2�)3PFE#&(KRBp����4��IP��bk�Ba bP- & �� ����� ��� ��� � �:�[9B���:9;� �)(������$������_������� �!� # ��� � �%� � ���� ������� �! ����#��@ *� � � �������u�' av ��.��k� ��� �%� � ��� �! � �)( �M u���*��.� �xt �Q�1('-nXo�TFZ "3��)�1('!�,.-�6�X ¬`­&­ �Vw XE�_a �QL�-2R.�.X ��6na"X ��#&(K!"6;�A71 "�1-V3W �«57��ML28�!$ "%K�� "-�U¦Q#�a�X5���na9>D� c Y2>D� ¬ a

:=< c ? .RVW4D���D��HJ�:� �LVW�B2323����no�:��VW4WC ���7��^���������B� -2�)3PFE#&(KR&IP#DC�I�Cm(W,Dfi�)%0fi#J6��)!Cm#&(�%'jJfS89#&!" $7_%K71�)-��d $-V3K�1(K�2(K�)3W,D3W "#&-nas�AL�82fi �3K3W�)6�Cm#&(���L�8�!" $71,D3W "#&-�3K#|��,D3K3K�1(K-qZ�17)#&U&-� �3W $#.-��.#&L�(K-�,.!�XA��L�U&L2%'3 ¬�­&­ ��a

:=< ¬ ? .RV3�E���uiE4������ �Y('#&f��r,.('!$#&U03K#4��#&!"RD,s $-S3PFE#_�1,.%'jp%'3K�1��%)aNbP--#�<���<D# b10R� ��� �� ��� sG��� �rx�s� ��#��@ �)� �1� � �����I< �����)9��3���^�;�rx5(��(� ��������� �! � �����I<W# t¢��,.%K%K,.LnX�+�1('fu,.-Vj.X¨��L�U&L2%'3 ¬�­&­2¬ wOX¨-�#�a¨>&<.�� $-/�A�2(K $-2U&�1(4§}�0¦��9X��A��(K "-�U&�)(1X¨���na ¬ � ¬ Y¬ �&<Aa

:=<&<@?�CW�yK-23�5�BF������_��-~,.%K%'L�fi�A3W $#.-~85,.%'�16¡���~�NaL&r��� � {���� �)(��������%(�( � ������� � �3`&Xn<t¢��,.(K7[� ¬�­ ���VwOa

:=<.�D? .e�52323��6B� VE4D�D�5HJ�:��H��BF6B����i���HJ�S���f��VW4DC6Ue�5FG4GVWh1h�V���PQ�2�&*�#&(KUV,D-B('�171#.UDI-� �3W "#&-48Tj+3K#&fg#&U&(W,D���� $7� "fu,DU&��,.-5,D!"jJ%K "%1aVbP-�# ��� � �%� � ���� ������� �! �'��.��� u��� �����&�x1x5( �!� ��� �! ���OX���aY�paY*0�OeA ¥'�1(Z,.-26'�2aB|+ "3'3W!$�)(1X �M62%1a�X9e.#&!�a��r� c #DC�7�&���� &L�;� a�A�2(K $-2U&�1(kI,&M�1('!�,.U2X ¬�­ �&�Aa

:=<D�.? .e� 4'65�* G�BF������ �R��� U&�)-��1(K,.!$ ��`,D3K $#&-y#.C �o,`j&�)%K �,D-� $-ACm�1(K�)-�71�DaQZ� u9���� �)(� av��.��� � � �)(�� ����� �+��� �!� �)(��� *��� ��� � � $¤t ¬�­ �&�Vw X5< c >*Y2<D�T�Ja

Page 19: c3 242 c2 242 c1 242 - University of Edinburghhomepages.inf.ed.ac.uk/rbf/BOOKS/DANCE/dance2.pdf · 2004-12-22 · b g Q ! &+'Q(c1_316 c2_316 c4_316 c3_316 c5_316 c6_316 &j*o(-.m

������������� ��� � " ���

:=<&>@? .o�B4D4D�B � �� .6�L\t ���*���! u93��� ����� ����x5( ����� � �.a}§¨ "3'3W!"�.X �Q(K#�FZ-�,.-26�¦Q#�a"X �Q#&%h3W#&-nX¬�­&­2¬ a

:=<��D? .o��2323iJ4�� �"� bPfu,DU&�¡�5,D3'3W�1('-�('�171#.U&-� "3K $#&-�%hjJ%'3W�)f tmbk�Mq���w|L�%'�1(�fu,D-JL�,.!�a���)7[�naVqZ�1�na ­ �1A ¬ ��XV¦Q#.fi��LA3W�1(��A71 "�1-�7)�.X s-2 "e&�)(K%' "3PjB#.CN���1!"8N#.L�(K-��DXV�r,D(KRVeJ $!$!"�.X&0 "7)3W#.(K �,AXA�sL�%'3K(W,.!" �,2X ¬�­&­ �2a

:=<&�@? .oF�V56B�BF��E���E���:�0�/iE232���4D�3��lk�Jne�f�E��F]iJ23��i����G�:� gIVW4D�uiE4��J��� lk�f�WVW4WClI���� 4}VE4��tdR� 2 �_�����g�A7[���)fu,��JjJ%'3K�1f�a��������%��� ��� �! � �)(GZ� u9;� � �)(� av-\t �I_x59&���%� !�+���! ���xt ¬�­ � ­ wOXY< c.­ Y2<&> c a

:=<.�D? . D�iE���3� .6�:�tVW4DC �rF�VECW�D��g �p�H6� "%K7)L�%K%' $#&-¡#.CcL�-271�1(h3[,. "-V3Pj��5,D-�6�!$ "-�U| "-%KL��2�N#&(h3Q!"#&U& "7o��(K#.U&(W,.fgfg $-�U�a]� ��� �%� � ��� �! � �)(BZ� u9�� � �)(G av�� ��� �%(�( � �������D��������(����.X ¬ t���,D(K7[� ¬`­&­�c w X ¬ >*YT�T<Aa

:=< ­ ?�T��52323�BF�� � �G& �"� ���f�@ �)9���� �! � �a =#t�@ 1) � ) ��( ��� � ��.��� u��� ����� ������&�x1x5( �!� ��� �! ���OX�.(K6��)6na"X�e.#&!�a ¬ a � $!$�Oj|,D-�6~�J#&-�%1XY���)F ~c#.(KRYX ¬�­ �&�Aa

:�� c ?�T��5FG���Olk�:��T�iEFG�B� ����IPQ�:� 2 DFG��4Di��/UQ�f��lI�5jEVEh1h1iE4D���-�"�:��VW4DC Ue�5F �4GVEh1h�V��=PQ���J�5,D3W $,.!\('�`,.%'#&-� $-2U�8Vj/RT-�#�FZ!$�162U&�OI�85,.%K�)6� "-T3K�1U&(K,D3W "#&-y#.CQeJ "%KL5,.!,.-�6/bkqHCmL � �Ojy71L��)%1a|bP-y� � ��� �)(E#t�@ *� ����������� !WsR��.��� u� � ��� �����k&�x1x5( �!� ��� �! ���qs#t�� *� � � �������u�� av���>G�;��#r\���_ b%$*��� � v ��.6�t9��� �x�� ���$� � ��� �)(W#t�@ *� �����������$\t �zv �%�[_����� �xt ¬�­.­�c wOX�§�a���#&('(K�1%)X��Zas��,D%KU&(K,.LnX+,.-26 ��a�§},.U&L�-�,.%1X���6�%)a"X���!$%'�)eJ $�)(��fg%'3K�1(K6�,.f�X��s�)3K���1('!�,.-26�%1X5����a ¬ � ¬�­ YA<&<Be&#&!¢a �Aa

:�� ¬ ?"P�VWF1�E������ne� .6���\eA "6��1-V3K �,.!�(K�`,D%K#&-� "-�UuCm#&(sU&�1#.U&(W,.�2�� $7_�)eD,.!"L5,D3W "#&-�Cm#.(���� I!$ "71#&�23K�1(�(K#&LA3W�p�2!�,.-�-2 $-�U�a=�������m�S� �����#����� �! ���" � � �� *�*��� ����� � ����� 0�(�o ���� ����������� � �t_ ���.XY��t���,`j ¬`­ �V�&w XY< ­ �uYJ� c �2a

:��V<@?"PeiJ4Dh�VW23�5h��Wlk���"�:�DVE4DC � ��4G Gh�������� � �������)(��(� �3����#t�@ *� �����������.an��626� $%'#&-���)%K!"�)j&XYqZ�`,D6� $-�U2XY��,.%'%W,.7[�TL�%'�)3K3K%1X ¬�­ �V�Aa

:��&�D?"Pei��J��4DC�VWF�VW� ��]UQ�:���tV54R�EHJ��� �f���"� �JiJjJ���.6�:�DH��D�5F�� .6�5�e�:�WH�FG���GVEFG���lk�f��H�FG���DVWFG����HJ��� �:�EVW4DC/� VW4Dj���.Q�Q�s�OFZ%K�5,.�9�1(Z "fu,.U.��L�-�62�1(K%h3[,.-26� $-�U2abP-�� �� �(�� �3��� ) �u�3� ���� �rx59&���%����������(���OXA�NaTq�,.fu,D-� �X.q_aJ¦Q�5,D-�6�(W,D%K�1R@,.()X2,D-�6|da¨�Na¨q4an�s-@¥K,.-��OjV,.!"LnX ��6�%1a}�s,.(K#&%K,��ML28�!$ "%K�� "-�U��s#&L2%K�.X}���)F *0�1!$�2 �X�bP-26� �,2X¬�­&­�c X2���naY�&�&>*YA�.�2a

Page 20: c3 242 c2 242 c1 242 - University of Edinburghhomepages.inf.ed.ac.uk/rbf/BOOKS/DANCE/dance2.pdf · 2004-12-22 · b g Q ! &+'Q(c1_316 c2_316 c4_316 c3_316 c5_316 c6_316 &j*o(-.m

"���� ������������� ��� �

:��.�.?"PeFG�B�B4��'�R�}dR�y� ��p�,�Cm(W,.fg�)FE#&('RyCm#.(B('�`,.! I�3W "fi��6� "%'3K(K $82L23W�)6¤71#J#&�9�1(W,@3W "e.���('#&8�!"�1f %K#&!�eJ $-�U�a}bP- � �+���:� � )q9&��� ��&r� � � {���� �)(�� ��� �%(�( � ������� �OXA��a2�Ba���L���-�%)X ��6na�� "3Kfu,D-nX�§¨#&-�62#&-nX ¬�­ �&�AX27[�na��2X2���na ¬ >.�*Y ¬ ���2a

:��V>@?�gIV;�J�B�3�'�R�r���¡���2�u-5,. �e&�i���VjA%' $7)%Sfu,D-� "Cm�)%'3W#2a|bP- � ��x��%� �}���*��� �(��� ��� �w.��, �!�%�@ u_!��(������:�@ ���!��& ���OX5*Sa2�� $7[�2 $�.X ��6na ��6� "-J82L�(KU&� �-� "e.�1(K%' "3Pju��(K�1%'%1X ��6� "-AI8�L2(KU&�nX9�J71#.3K!�,.-�6�X ¬�­ � ­ a

:��.�D?�g"�BFG��Wi��E� G�3�S���5< �����)9�3��� �����r��x���� � �)(5\t ������� �! �5aT¦o,.fS82(K $62U&� s-� �e&�)(K%K �3Pj��(K�)%K%)X ¬`­ �.�2a

:��V�@?�g"�S�k� � ���"�r��#GFx3W#_L�%K�ZFZ�5,D3cj&#&LiRT-�#�F4a¨bP--��Z�\D&^�%_;��ytm��8� $!" $%K ¢X �+�1#&('U& �,2X�A�)�23W�)fS89�1( ¬�­ �&>.wOX�����a ¬ � ­ Y ¬`­ �2a

:��&�D?�g"�S�k� � ���"��&0 $�OFZ $-�U+7)#&-V3W('#&!5%'3K(KL�7O3WL�('�1%E,.%M�5,D3K3K�1('-�%M#.C���,.%K%' $-�U4fg�1%K%K,.U&�)%1a&r� � � {���� �)(B�������%(�( � ������� �/`;t ¬`­ �&�&w X5�V<.�YJ�.�&�2a

:�� ­ ?�g"�S�k� � ���I�DdR�r��!�,.-2-��1(�p\� !$,.-�U&L�,.U&��Cm#&(c��(K#�eJ $-�U_3W���)#&(K�)fi%c $-g(K#.8N#.3K%1a¨bP-��Z�\D&^� � b t �¤,D%K�� "-�U.3W#.-nX5*Sa ¦�a"X ¬�­ � ­ wOa

: � c ?�g"iE �V�� � �:��lRV54=������ �I���r�:�-�/�GVW4Dj�� �r�'� �:��VW4DC ��iEiJ�J�BF����r�L����o,.qr� fu,.-TL5,D!Ne&�)(K%' $#&-��2a c ar���17[��aYq��)�na��V�&�D�2X��s,�eD,.!�q��)%K�1,.(K7[��§},.8N#.(W,D3K#&('j.X����s,�eTj.X �¤,.%'�� $-2U.3W#&-�*4¦�X �5�18 ¬�­.­2¬ a

: � ¬ ?�g-GVW4Wj���ne�f�OK"iJ2323�5F���.6�:�#2 VW2����t�I���:�IN�jEVE�*V3�LVWF�V��"PQ�:��lRVGit�����:�l D�u��B232B�GHJ�:�5VW4DC � �B]�5F������9�sL23W#&fi,D3K $7M%'jJfS89#&!$ "7�3W(W,�i7E%K7)�1-��Z,.-�,.!"jJ%K "%L�%' $-�U�89�1!" $�)C�-��O3PFQ#.(KRT%1aEbP- #t�@ *�R av}&^&}&^�%_ b�� t��J�`,D3'3W!$�DX���L2U&L�%'3 ¬�­&­ �TwOa

: �T<@?�K-�B2323�BF�� ���:� g"iJ]�iJ4�� PQ�:� � iJiW � GiE4�� ���f� �"V5�qVWFG���B��� ���:� VW4DC�:W�� G�E��4=��� �BF���K6��5L ���)jd7)#&-2«562�1-�7)�sfg�`,.%'L�(K�)%� $-�fg $6�!"�)e&�)!AeJ $%' $#&-�a5���������� �����#����� �! ���" � ���*�����(������, ��� ����� \ ��)��%� � ��� �!�����S, \ _ 0*�`X��¡t ¥'L�!�j ¬`­ �V�&w X�V���Y&�&�&�Aa

: �V�D? ��VE�Di�� ���DPQ���6 � ������� ��� � ����� � �������%�@ u91����.������u�Oa s-� �e&�)(K%K �3Pjp#DCN¦Q�� $71,.U&#��(K�)%K%)X ¬`­ �V�Aa

Page 21: c3 242 c2 242 c1 242 - University of Edinburghhomepages.inf.ed.ac.uk/rbf/BOOKS/DANCE/dance2.pdf · 2004-12-22 · b g Q ! &+'Q(c1_316 c2_316 c4_316 c3_316 c5_316 c6_316 &j*o(-.m

������������� ��� � " �g$

: �&�.? ��i��kF�VW4D���D�J�G�5.6�:�JH] GF�VS ��Wno�52 �:� � �B�23�S��� �r� �R�:� P�VEF��E�����Ene��.Q�f�l�D� 6B��4D����dR��g �:�DVW4DC�� ��23�J��4D�3� .6��d��}�����Z3W�2�1#&(hj&XT $fg��!$�)fi�)-V3[,D3K $#&-d,D-�6��(W,D7)3W "71��#.C��)eJ $62�1-V3W $,.!�(K�1,.%K#&-2 $-�U�a©�2qZbS��('#@¥'�17O3|>.� c2¬ XQ�2qZbpbP-V3W�)(K-5,D3K $#&-�,.!�X���1-2!$#g�r,.('RYX9¦Q� ­ � c <&>AX��.L�-�� ¬�­&­2¬ a �r $-5,D!�(K�)�N#.('3`a

: �T>@? 2 VS G� ��BV54rV���no�:��VW4DC gR�LVW4Dj��"UQ��HJ� �;� � ,k& & � �� �(�� �3����) �u�3� ����%� � �)( �7� �3���/9������%�����������������"���*��� �(�daM��!"�1-TL�fª��(K�)%K%)XN���)F ~c#.(KRYX ¬�­&­�c a

: �"�D? 2 ��.e�5F4riE � ���.Q��UQ�:�]VW4DC�.ei�� 23�D���G�N�s#&-AI�fi#.-�#.3W#.-� $7�!"#&U& $7Mb[aS&r��� � {���� �)(�������%(�( � ������� �O0��&X ¬ X <�t ¬`­ � c w X�� ¬ Y2�.<Aa

: �T�@? 2 ��4D��D����2 �2� Cm(W,.fg�)FE#&(KRsCm#&(}(K�1�2(K�1%'�1-V3W "-�U0RT-�#�FZ!$�)6�U&�DaJbP- ��.��Dx����3��.� u(+ ��� av��� �rx59�� �%� 3�+���! �5X���aY�Ba � "-�%'3K#&-nX ��6na9��7 �4(K,�FoIP�s "!$!�XA�s�OF?~c#&('RYX ¬�­ �&>Aa

: �V�D? 2 iJ�D4D�GV 6� ���2 �:�-VW4WC �"�� 4rVW4W4�� ��� �0- 3W���/L�%'��#.CBfg#.3W "#&-�71#&-JI71�)�23W%�Cm#&(�3W#&��6�#�FZ-~71#&-V3K(K#&!} $-�3W(K,��g7B%'71�1-2�1%1a�bP- \t �rx59����%��! �+���! �M�=\�\#!

b%$)s/� ���@��� �%9��@ �x�� ��� �� �zv �%� ����� � � �� �rx59�� �%� 3�+���! � x5�@ *� � � �������u� t ¬�­&­)c wOX�Sa��Y,.L�U&�)(W,.%)X ��6na"XY����a9> ­ �Y&� c�c a

: � ­ ? 2 D23CE�BF��t���t���f� 2 VG���W�eiJF� G���t���tK6�f��VW4WC gIV��E�B4D�3�0� ��HJ�O|+-�#�FZ!�I�16�U.��%h3W('L�7)3KL�(K "-�U/,.-�6;71#&-�%h3W(K,. $-V3�%W,@3W $%hCv,.7)3K $#&-�p����������0�c� � � ,.���2(K#V,.7[��a���)7[�na�q��)�na��V�GIh< ¬ Xr*0�)�23`a}#.CQ71#&fg��L23K�1(_%K7) $�1-271�.X�s-� M#.C��E(K "3K $%'�¤¦Q#&!"L�fS8� $,2X&c,.-�7)#&L2e&�)(1X ��¦�XN¦o,.-�,.65, & �.� ¬ � >AX5�.L�-2� ¬`­ �V�Aa

:=> c ? �"� 4rVW4D4��Q��� ��,D3KL�(W,D!_!$,.-�U&L�,.U&�y6��1%'71(' $�23K $#&- #DCS3W "fi� I�eD,.('jJ "-�U�%K71�)-��1%)abP- � �(� ����� �!��� �f�[9����f9�� ���q� �"�� ����� ������� � ���:9�� �)(�( �����)9��3���rx5�@ *� �����������.X¨*San§Ma�¤,D!"3��DX ��6na9§},`FZ(K�1-271� �M('!$85,DL�f�X2�s "!$!$%'65,.!"�.XA�Ba �2X ¬�­ � ­ X2���na ¬ �V�zY2< c �Aa

:=> ¬ ? �"��� 4}VE4D4���g �f��� D4D�J�D��g��:��g"i � 4rVW4W4����*�f�tH]VGjJ�5FG�BF���PQ�:� � iJ2 ����T/�f�VW4WC T��B���* G�B2B�Gg��}� RJ-2#GFZ!"�16�U.�s85,D%K�16u%'jJ%'3K�1f Cm#&(c,.-5,.!�jJ%K $%�#DCnUV,D3K�16i8�!$#J#A6�N#J#&!�%'3KL�6� $�)%1a��������m�S� �����#����� �! ���e � # ��� ���%� � & � �)( ����+� �����k, ����.���� �O� ��_� �%(�( � ������� � �`XY��tvfi,�j ¬�­ �V>.wOXY<D�.�Y2<&> ­ a

:=>&<@? �=��VWFG25����� #t�@ 1) � ) ��( �+��� �!�-� � �u�* ������� ��� �������%(�( � �������r��������(���q�Q7 ��� � u���*�6 avx5( �)93��� )q(�� ���zv �%� ����� �Oa���#&(KU&,.-�|_,DL2Cmfu,D-nXY�2,.-���,@3W�1#2X9¦Q�pX ¬�­ �.�2a

Page 22: c3 242 c2 242 c1 242 - University of Edinburghhomepages.inf.ed.ac.uk/rbf/BOOKS/DANCE/dance2.pdf · 2004-12-22 · b g Q ! &+'Q(c1_316 c2_316 c4_316 c3_316 c5_316 c6_316 &j*o(-.m

"�� � ������������� ��� �

:=>.�D? �=lk�0�"�:�JVW4WC lk�JKM�EbP-2Cm#&('fu,@3W $#.-�(K�)3K(K "�)eD,.!�8Vj�7)#&-�%'3K(W,. "-��16�%'��(K�1,.6� $-2Uu,.7 I3K "eD,D3W "#&-u "-|%K�)fu,D-T3K $7+-��O3PFQ#.(KRT%1a�� �zvz u�(� ��� �! �k#��@ *� ����������� �����I, ��� �3���(� ������ �&X���t ¬�­ �V�&w XY<&>&>zY2<��&�2a

:=>D�.? �=F]i���VW4��/PQ� 2 ����-�,.-5,.!�jA%' $%4#.CQRJ-2#GFZ!"�16�U.�u(K�)��(K�)%K�)-T3W,D3W "#&-�%'7[���1fg�1%BCm#&(�� "U&�d!$�Oe&�)!2eJ $%K "#&-naYbP- \t �rx59&���%� ! �+���! �k_E�r\�\#!Eb%$�tm��-V3W "8N�)%1X��5(W,.-�7)�.XV�s��(K "!¬�­.­�c wOX��Sa��Y,.L�U&�)(W,.%)X ��6na"X�e.#&!�aA�T<&�p#.C�<�����f9�� �L7� ����� ��� \t �rx59����%�=����� ����� �OXbk�sq�bP�BX9�A��(K "-�U&�)(�&M�1(K!$,.U�X��2�na9>.�V�*YA>D� ¬ a

:=>&>@?�lI�B� G�BF�� lk�:�JVW4DC 2 VG���W�eiEF; G���������{!"#&U& $71,.!NCm(K,.fg�)FE#&(KR|Cm#&(�62�1�� "7)3W "#&-,.-26� "fu,DU&�0 $-V3K�1(K�2(K�)3W,D3W "#&-na�&r� � � {���� �)(B�������%(�( � ������� � �50�t ¬`­&­�c w X ¬ <&>*Y ¬ >&>Aa

:=>��D?�lI�� Gh ��H����54r��CW ���PQ�E*0�) $7)3K $7�,.-�6� $-V3K(K $-2%K $7sL�%K�4#.C}%'�5,D3K �,.!N��(K�)�N#&%' "3K $#&-�%)arbP-��x���� � �)(* 0� �u�* ������� ������,69;( � ��_ � �����* u����91���! �/t ¬�­ �V�&wOXT�Ba;|4,.R�,D-�6��NaA¦Q���)-nX��6�%)a"XN��#&('UV,.-�|4,.L2Cmfi,.-nXA���naY�V� ¬ YA�&� c a

:=>&�@?�lI��������dR�:�^VW4DC K-4D��j �G ��^KM� &r� � � {���� �)(D� ��� �%(�( � ������� �OX�<@-�6��)6nau��7 �+(W,`FoI�� $!$!¢X2���)F ~c#&(KRYX ¬�­&­A¬ a

:=>.�D?�lI��4DjE�eiJiECt�}PQ�����������d62 $-� "-�U|!$#.U& $7) �,.-�%)a_��,.%h3W�1()��%+3K���1%' $%1Xn*0�1�5,.(h3Wfg�1-V3#.C\¦Q#&fg��L23K $-�U�XAbPfi�9�1(' �,.!¨¦Q#&!$!"�1U&�DX�§¨#&-�6�#.-nX ¬�­ �.�2a

:=> ­ ?�lOiJ]��4W�iE4��t�����fu,.7[�2 $-�� IP#&(' $�1-V3K�16�!$#&U& "7+85,.%'�16~#&-�3W���_(K�)%K#&!"L23W "#&-���(K "-�71 I��!"�.a�Z� u9���� �)(J av �w.��r&r���* *��� ��� �! ��vz u�e\t �rx59�� �����", ����.���� �%���o01�VX ¬ t ¬�­ �V>&wOa

: � c ?"H����GVW4D���Glk�:��VW4WC ����B23�uiE4���lk�J���%��� x������G#t( ������� � #�)( �������6>�����%�@���������)_�����.a ��(K!"85,.L�f�X��� $!"!$%K6�,.!$�DX2�_a �2X ¬�­ �&�Aa

: � ¬ ?"H����D��FGF�V��D����lk���G�:�G�OiJ������WPQ�:�DH D4Wj����"��K6�f��VW4DC � �74 4=�BF4rVW4D4��EPQ��5(K#.f� "fu,.U.�E%'� �TL��1-271�1%c3W#+-5,@3WL�(K,.!2!$,.-�U&L5,DU&�)p�,�«5(K%h3M%'3K�1�d3W#�FQ,.(K6g,.L23K#&fi,D3W "7�9�1('71�1�A3W $#.-¡,.-�6~62�1%K7)(K "�23W "#&-~#.C�fg#.3K $#&-�%)a=&�x1x5( � � �"&r� � � {���� �)(��������%(�( � ������� ��0.X��t¢�&�&wOXY<D�V�*YA� c >Aa

: �V<@?"H��GV565��F]i���dR�:�"VW4DC n�VW�E� D���D�����Q�H�+8T¥'�17)3�#.(K $�)-V3W�16x��(K#&U.(W,.fgfi "-�U/ $-7)#&-�71L2(K(K�)-V3S��('#&!$#&U2aubP- \t ���%9��[� ������#t�@ u(+ �.X ��a��A�5,D�� $('#�X ��6na�X�e.#&!�a�<Aa���bP���(K�)%K%)X ¬`­ �V�AX�7[��a9< ­ X�����a9<&> ¬ Y2<.�.�2a

Page 23: c3 242 c2 242 c1 242 - University of Edinburghhomepages.inf.ed.ac.uk/rbf/BOOKS/DANCE/dance2.pdf · 2004-12-22 · b g Q ! &+'Q(c1_316 c2_316 c4_316 c3_316 c5_316 c6_316 &j*o(-.m

������������� ��� � " ���

: �&�D?"H�2��Bh�VW��� �R���A "3KL5,D3K�16�71#&U.-� "3K $#&-�p��Mfg�� "(K $71,.!9 $%K%'L��.X5��,.(W,.62 $U&f %K�� �C 3Z#&(�71#&-JI71�)�23WL5,D!571#&-2CmL2%K $#.-naYbP- #t�@ *� � � �������u�r av ��.���� � �.� � ������.Q\t �zv �%� ����� �r av ��.���\t �)_����� �� ��R������� ����� �I�� *��� ��� � tv�o3W!$,.-V3[,2X}�sL�U&L�%h3 ¬`­&­ �Tw X��Ba}qs,Df ,.-�6 |�a �� "%K�1!�3`X��6�%1a�XY§},�FZ('�1-�7)� ��('!$85,.L2f�X5�� $!"!$%K6�,.!$�DX2���)F��.�)(K%'�)j&X9���naY� c �YA� ¬.¬ a

: �.�.?�n�F]i 6�����VE4DC � VW2q G�BFG�&a��s-~���Z��Cm#&(��&*H(K�)71#&U.-� "3K $#&-�#.C�%K#.!$ $62%� $-�%K "-�U&!$� $fi,.U&�)%1a+bP- #t�� *� � � �������u�� av ��.��"`.��.Q����� (EZ� �����/\t �zv�s� �'&r� � � {���� �)(��������%(�( ��_������� �it ¬`­ �&�Vw a

: �V>@?�n��iE ��uiE�3�L���rKM�~�����u71#&fg��!$� �A "3Pjy#.C��9�1('71�)�23WL5,D!Q%K�1,.(K7[�¤3W,.%KRT%)a�bP- #t�@ *�qs�������%� � ��� �! � �)()Z� �����E\t �zv �%� ����� �� �O&r� � � {���� �)(u� ��� �%(�( � ������� �Zt¢*0�)3K(K#& �3`X`�sL�U&L�%h3¬�­ � ­ wOX��_a9�Na9�A(' $6��5,D(W,.-nX �M6�a"X9��#.(KUV,.-�|4,.L2Cmfi,.-nX2���na ¬ >&� ¬ Y ¬ >.�&�Aa

: �.�D?OUe�5FGFG���5���f��VW4DC��riJj j ��it�Gno�N�sUV,. "-�%'3 �TL5,D-T3K "3W,D3W �e&�o#&�A3W $71,.!T�5#�F4a9bP-o� ��������������%� � ��� �! � �)(��� �zv �%� ����� �� ��\t �rx59&���%� !�+���! ��t ¬`­ �V�&w X@b � � ��XD�2�na ¬ � ¬ Y ¬ � c a

: �V�@? � �B�u23�������r���R� �\eJ $62�1-V3W $,.!TRJ-2#GFZ!"�16�U.�OIP8�,.%K�)6p71#.fi��LA3W�1(}eJ $%' $#&-naV���17[��a.qZ�1�na�V�D��X��Ba�b[aM¦Q�1-V3K(K�.Xo�2qZbBbP-V3W�)(K-5,@3W $#.-5,.!�Xc���1-�!"#���,.(KRYXQ¦Q� ­ � c <&>JX��&,.-TL5,.('j¬�­ �.�Aa

: �&�D? � ��4D� �iJ4����R��&r� � � {���� �)(5� ��� �%(�( � ������� �OXA%K�)71#&-�6��16naM�s6�6� $%'#&-AI���)%K!$�Oj&XYqZ�`,.6JI $-�U2X5��,.%'%W,.7[�TL�%'�)3'3W%1X ¬�­ �.�2a

: � ­ ? � �J2����6�SF��5�"�D� ���f�@ �)9���� �! � �a L#t�@ �� ����� �� �� � �� � ���f���@a9��7 �+(W,`FoIk�� $!"!�X ¬`­ � c a:=� c ?#8oiJ4D�Bh�V��LV������f��VW4DC g"���-� � ��'�"����#A6��)!$!" $-�U|62 $%'3K(K "8�L23W�)6¡%'jJ%'3K�1fg%1agbP-

�[Z]\D&^�%_;� �¡t¢��,.%K%K,.7[�TL�%K�O3K3K%1X��sL�U&L�%h3 ¬`­ �&�&w XS|4,.L2Cmfi,.-nX��2�naY�V� c YJ�V���2a

Page 24: c3 242 c2 242 c1 242 - University of Edinburghhomepages.inf.ed.ac.uk/rbf/BOOKS/DANCE/dance2.pdf · 2004-12-22 · b g Q ! &+'Q(c1_316 c2_316 c4_316 c3_316 c5_316 c6_316 &j*o(-.m

� � � � �

���S%'�`,.('7[�nX��,D7171�)!$�)(W,D3K $#&-nX ­ �,D7171L2(W,.7Oj&X ¬*c �,D7)3W#.(K%1X ¬ �AXY<D�,D7)jJ71!" $7+-��O3PFQ#&('RT%1X �.�,�i-2�43K(W,.-2%'Cm#&('fu,D3K $#&-�X5> ¬�s!$!"�1-nXY<.��s-�6�('�B�O3�,.!�X5�,D%K%K "U&-�fg�1-V3�#.C�FQ�) $U&�V3W%)X �&�,D%K%K#J71 $,D3W �e&�+-��O3PFQ#.(KRYX �,D%K%KL2fi�23K $#&-JIP85,.%'�16 3K(KL23K� fu,D $-V3W� I

-5,.-271�_%'jJ%'3K�1f�X9�AXY�.��������NXN�AX5�.����Z�_X9>AX �,DL�U&fg�1-V3W�)6�3K(W,.-�%' "3K $#&-�-��O3PFQ#.(KRYXN>8�,.7[RTU&(K#&L2-�6�%'L�823W(K,.7)3K $#&-�X�� c�Q,G¥'71%hj��)3s,.!�X�>AX9<���Q,.!$62FZ "-nXY<AX��2X �&�2XY� ¬ XY�&�AX�� c X5� ¬�Q,&qr�+X �V��Q,�j.�1%)X �.�AXY�&<�Q,�j.�1%' �,.-�8N�)!$ $�OC�-��)3PFE#&(KRYX ¬*c89�1!" $�OCkX��2X �.�89�1!" $�OCr,D-�6�eJ "%K $#.-nX5� ¬89�1!" $�OC� "-V3W�1(heD,.!�X�� ­89�1!" $�OC���,. $()X�� ­ XY�D�2X5� ¬ XY�&<AX5�.��X ¬*c �89�1!" $�OC�L2�N65,@3W $-2U�X5�&�

�Q�)!$!¨,D-�6��r,.LnX ¬*c X ¬ �2X ¬ < ¬89�1!"�oFQ#T��Cv�_XY�&�AXY� ­ XY�&�89�1! s�96nX5�.�8�!$,.7[RT8N#&,.(K6�%'jJ%h3W�1fg%1X ¬ ��Q#.8� $7[Ru,.-�6 �Q#&!$!"�1%)X ¬*c�Q#J6�6� "-�U.3K#&-��)3s,.!¢X5�AX ¬*c ��Q#.U&!$�)(1X,�&�89#.3K3K#&fdIPL��nXA��X ¬ �JXY<&�AX��V<AX5�T��QL2-�R.�DX�<D�8�L2(KU&!$,.(K%)X��&�2XY� c71,.(oe&�)!$#J71 "3K $�)%1XY>&<¦Q��qsqs�NX9�71,.L�%W,D!¨%KL����9#&(h3`X �.�7)�1-V3W('#& $6nX2�V�2X ­�c¦Q "�N#&!"!�,B,.-�6k~E,.fu,Dfi#.3K#�XA� ­¦QbP��~0����sq_X9�¦Q#&�2�1-��)3s,.!�X�<&>7)#&!$!" $%K "#&-�%)X ­ �AX ¬*c�c7)#&fS8� "-� $-�Up8N�)!$ $�OCkXY�&�7)#&fS8� "-� $-�Up�)eJ $6��)-�71�DXN� c XY�V<7)#&fS8� "-� $-�U "-�6��1�9�1-26��1-V3 ��('#&�9#&%K I

3W "#&-�%1X5� ¬7)#&fifpL�-� $71,D3W "#&-|7[�5,D-�-��1!¢X9<&<7)#&fi��,.(K "-�USfi,D3W7[��!$ "%'3W%)X ­ <7)#&fi��,D3W "8� $!" "3Pj�fi,.���� "-�U&%1X$�V�7)#&fi�9#&L�-26�#.8J¥'�17O3W%1X9� c X5�V�AX��.�2XY�&�

¬ � c

Page 25: c3 242 c2 242 c1 242 - University of Edinburghhomepages.inf.ed.ac.uk/rbf/BOOKS/DANCE/dance2.pdf · 2004-12-22 · b g Q ! &+'Q(c1_316 c2_316 c4_316 c3_316 c5_316 c6_316 &j*o(-.m

� ���+��� " �"

71#.-�71�)�23'I�Cm(W,.fg�.X5�AX9<D��X5� ¬ X5�&�71#.-�71�)�23'I� $-�%h3[,.-�7)�.XN<D��X��V<71#.-�71�)�23WL5,D!�62�1�9�1-�6��)-�7)j.X ¬ �71#.-�71L�('(K�)-T3s�O�A�)71L23K $#&-nX9<JX5�T<AX��T�71#.-�71L�('(K�)-T3s��('#&!$#&U2X5< c71#.-�6� "3K $#&-�,.!���('#&85,.82 $!$ �3W "�1%1X&�.�71#.-2�5 $7O3W "-�Ud�)eJ $62�1-�7)�.XN� c71#.-@¥'L�-�7O3W $#.-nXY�&<AX9���2XY� ­71#.-�-��17O3W�)6�!�,D8N�)!$�16�('�1U& "#&-�%1X,� c71#.-�%'3K(W,. "-T3Z�2(K#&�5,DUV,D3W "#&-�-��O3PFQ#&('RT%1X �71#.(K(K�)%K�9#&-�6��)-�71�B��(K#.8�!$�)f�X2�2XY� ­71L2('eD,D3WL2(K�.X ­.­71LA3W!$�)('j�%'71�)-5,.(K "#�X5�2XY�&>65,D3W,d7[�5,.-�-��)!�XY� ¬65,D3W,d%'3W('L�7)3KL�(K�DX9� ¬ X5�V<6��1,.6�!$#J7[R|7)#&-�71�)�23'I�Cm(W,.fg�.X5>.�6��)!$�)3K $#&-�#.C� $-2%'3[,D-�71�)%1XY�.�*0�1!"!$�)�� �,.-2�0�)3�,.!¢X��*0�1fg��%h3W�1()X9� c*0�1fg��%h3W�1(kIh�A��,DCm�1()X��.�2X �&�AXY�&�AX5� c*0�1-2-��)3'3`X ¬&¬�­6��)�N�)-�6��1-27)j&X��&<AX��V<AX5�.�6� "%m¥'L�-�7O3W "#&-nXY�D�2XY���2XY� ­6�#&fi,. "-�RJ-2#GFZ!"�16�U.�.X ¬ XY� c X ¬*c �*0(W,D�N�)(��)3s,.!�X ¬ �*0L�89#& $%o,.-�6��M(K,.6��DXY� ¬�)eJ "6��1-V3W $,.!n('�`,.%'#&-� $-2U�X �V��)eJ "6��1-V3W $,.!n%'L����9#&('31X �.��O�A "%'3W�)-�71�_71(' "3K�1(K $,2X�� c X5�&��5�1!"!$�1()X5�&��5�1(' n�)3s,.!¢X ­

«5('%'3�#&(K62�1(Z��(K�)6� $71,D3W�471,.!$7)L�!$L�%)XY< cCm(W,Dfi�©#.C�6� $%'71�1('-�fg�1-V3`X ���Y&�&�2Xu� ¬ X

�.�2XY� ¬Cm(W,Dfi�)%1XY�2X ¬ ��\qZbk§�X��&�CmL ���)j�71#.-2«56��)-�71�_fi�1,.%KL2(K�1%)X9�.��4,.8N#.(o«5!"3K�1(1X�� ­�4,.('e.�)j&X��&�AX ¬ < ¬U&�)#&fi�O3W(' $7+%K7)�1-��_6��)%K71(' $�23K $#&-�X5�U& �e&�OI�Fo,`j�7)#&-�71�)�23'I�Cm(W,.fg�.X5>.��+#GeJ "-�65,.(K,G¥'L��)3s,.!�X,��4q����s�+X9<&>U&(K,.�����5,.(K%' $-�U2X���+(K�1�)-nX9<D���,`j.�1%1XN� c���1,.6� $-2Ui,D-�U&!$�DXY>&<�s�)(K%'R.#�eJ "3W%)Xn<JX ¬ >AXY< ­�s�OFZ "3'3`X9<AX ¬ �AXY< ¬ X9<@��X ¬&¬�­�� "U&�AIP!"�)e.�1!�eJ $%' $#&-�X ¬ XY<�� "U&�VFo,`j�3W(K,��g7+%K7)�1-��)%1X �V��s#.(K-�71!�,DL�%K�DX9�&<AX5� ¬�sL�,.-�Ug�)3s,.!�X ¬*c X��&�� �4bk�_X ¬*c X��&��TL�fi,.-�71,D3W�)U&#&(' �`,@3W $#.-nX ¬ ��VjJ�N#.3K���1%' �)�p,.-26�3K�1%'31X9<AX5��X��AX ¬*c $62�`,.!" �1�)6�71#&U.-� "3K "e&�+fg#J6��1!"%1X ¬ � $62�1-V3W �3Pj&XY�V< $62�1-V3W �3Pj���(K#.8�!$�)f�X2� c $!"!$�)UV,.!$ �3Pj&X ­ ��X ¬*c�c X ¬zc � $fi,.U&��%K� �TL��)-�71�)%1X��&� $-26��1�9�1-�62�1-�7)�.X��&�AX5� c

Page 26: c3 242 c2 242 c1 242 - University of Edinburghhomepages.inf.ed.ac.uk/rbf/BOOKS/DANCE/dance2.pdf · 2004-12-22 · b g Q ! &+'Q(c1_316 c2_316 c4_316 c3_316 c5_316 c6_316 &j*o(-.m

" � � � ���+���

"-V3W�1('%K�)7)3W "#&-nX9> ¬bk�Mqs��!" $8�(K,.('j.X,� c¥'L2%'3W �«57`,@3W $#.-�!" $%h3`X��.�2X5�.�|+�)!$!$�)(o�)3s,.!¢X5�.�§},.RD# ��X9<AX ¬ ��X ¬`­!" $-�U.L� $%h3W $7s���162U&�1%)XN���!"#&U& "70��(K#.U&(W,.fgfg $-�U�X2<AX ¬zc XY< c X�� ¬!"#�FoIP!$�Oe&�)!¨��(K#J71�)%K%K "-�U�XY�2X2�V�2X�� c§¨#�FZ(W,D-�71�_�)3s,.!¢X,�V�AX,� ­ XY� c XY� ¬��,.7[RVFQ#&(h3W�nX��fi,G¥'#&(Z,G�2 "%1X��&�2XY>&<AX ­)c���0�c� � ��Xn���,.(KRD#Ge�3K(K�)�1%1X��.�fi,.%'%�62 $%'3K(K "8�L23W "#&-nX$�V�AX�� ­��,D3W%'L2jV,.fi,g,.-�6���FQ,.-�U�X ­fg�162 �,.-�«5!�3W�1(' $-�U2X,� cfg�1%'%W,.U.�_��,.%K%' $-�U�XY� ¬ X5�.��� $-�%'RTj.XN<AX ¬ �2X5< ¬ X ¬&¬�­��#&��-��5,DL��23�,.-�6��s�)L�fu,D-�-nX9> ¬ X�� ­��L�!$6��)(Z�)3s,.!�X$�fpL�!"3K �I�3K��(K�1,.6��)6�%'jJ%'3K�1fg%1XN>fpL�!"3K $��!"�sCm(W,Dfi�)%1X ¬*c �-2�`,.('-��1%'%���('�16� "7`,D3K�.XY< ­ XY�V>-2�1UV,D3K "e.�_ "-2Cm#&('fu,D3K $#&-�X2� c X��T<-2�1UT¦Q���)7[RYX��.�-2�)3PFE#&(KR&IP#DC�I�Cm(W,Dfi�)%1X9<.�2X2�T����1L�fi,.-�-�XY�2X ¬ ��� $�)fu,.-��O3�,.!�X��-2#&-AIPfg#&-�#D3W#&-� "70(K�1,.%K#.-� $-�U2X5� c

#&8T¥'�17)3�#&(' $�)-T3W,D3W "#&-nX�<AX ­ X9< ¬#&�A3W $71,.!N��#GF4X9�&�#&(' $�)-T3W,D3W "#&-nX ­�c X ­2¬�5,D $(K "-�U�X ­�c X ­A¬�5,D(K!$#.U�X5< c�5,D(K!$#.U ���dXA�2X9<.�AXY<.�2X5� ¬ XY�.�2XY� ¬ X ­ ��5,D(K%K "-�U�XY>���`,.('!�X��.�AX5� c X5� ¬�9�16��)%'3K(K �,D-nX ­ �����,.%K�4%K��,.71�DX�> ¬�M§¨�0�s� �Mq_X9< c��!$,.L�%' $8� "!$ "3Pj.X�� ­ XY���AX5�V<��('�16� "7`,D3K�+7`,.!"71L�!"L�%1X,���('#&85,.82 $!$ �3Pj&X&�.�2XY�.���('#A7)�16�L2(W,.!¨%'L�8�(K#.L23W "-��1%)XY�.���('#&!$#.U�X ¬*c XY< c��(K#�eD,.-nX9���('#`�2 "fi �3Pji3K#�8N#&L2-�65,.(hj&XY�V>('�`,.!n "fu,DU&�1%)X��V�('�16�!$ $U.�T31X ¬*c �qZ�1 �3W�1(Z,D-�6���,.7[RVFQ#.('3W��Xn�('�1%KL2!"3W%)X ¬*c �qZ $-�UDFQ#J#A6�X5<&�('#V,.6nXY> ¬qZ#&8� "-�%K#&-�XY< c('#.3[,D3K $#&-u(W,D3K�1%1X ­ <('L�-V3W $fg�0� �2�9�1(' $fg�1-V3W%)X9�V>%'71�1-2�p,.-�,.!"jJ%K "%1XY<%'71�1-2�Bfg#A62�1!�X�<���A7[��,.-�RYXN<AX ¬ ���¦o� �c���pX ¬ �

Page 27: c3 242 c2 242 c1 242 - University of Edinburghhomepages.inf.ed.ac.uk/rbf/BOOKS/DANCE/dance2.pdf · 2004-12-22 · b g Q ! &+'Q(c1_316 c2_316 c4_316 c3_316 c5_316 c6_316 &j*o(-.m

� ���+��� " �g�

�A7[���)fu,AX ¬ < ¬�A7[�� "(K(K,��O3s,.!�X5�AX5�.�%K7)(K "�23W%)X ¬ �%K�)U&fg�1-V3[,D3K $#&-���('#&8�!"�1f�X ¬*c >%K�)fu,D-T3K $7+-��O3PFQ#.(KRYX �� �+bQ���1('%K#&-5,D!�bP(' $%)X ¬*c ��A�5,D�� $('#i,D-�6��r,.RD�1L�7[�2 �XN<AX9<&<�Ab �_���pX ­ X ¬ ��A "U&fu,AX ¬ < ¬%K "-�U&!"�OI�3K��(K�1,.6��)6�%hjJ%'3W�)fi%)XN<AXY>%K �3WL5,@3W�162-��1%'%1XN< ­�A!"� �`,DR9X9<JX5� c%Kfi,.!"!"3[,D!$RYX�< ¬���4¦�¦ �Mq_X9����4�sIk��bk�BX ¬ XY<D��X5� ¬%K��,.(K%'�B "fu,.U.�0%K� �JL2�1-�7)�1%1XN� ­%K��,D3W $,.!n65,D3W,.85,.%'�.X5�T�JX��V�%K��,D3W $,.!n��('�16� "7`,D3K�1%1X9< ­ X��.�2X��.��X ­ �%K��,D3W $,.!n��('�1�9#&%K �3W $#.-�%1X ¬ >�AL�-��A�5,D(K7��T3[,D3K $#&-�bKb[X ¬zc �%KL2���N#.('3`X � ­ XY�&>AX��V<%'FZ �3W7[�T89#V,.(K6�X9<.�2X��&��QIP "-V3W�1('%K�)7)3W "#&-nX9> ¬ X ¬*c �2X ¬*c >3[,D(KU&�O3W $-2U�X ¬*c �3W�)-�%K�DX9�&�2X ­ �3W#.R.�1-�fu,@3W7[�� "-�U�X5<JX5�&�3W#.�AIP6�#�FZ-nX5�2X ¬ �AXY<.�AX5�T<AX��V�3W(K,��g7.X9<AX��2X5�V�2X5�.�2X ¬*c �3W(K,��g7Q¥K,.f�X�>.�3W(K,G¥o71#&-�7)�1�23hI�Cm(K,.fi�DX ­ �3W(K,G¥'�17O3W#&(hj&X ­�c X ­ <3W(K,.-�%' "3W "#&-�-��O3PFQ#&('RYX�<JX9>

��(K#&�2C\,.-�6 �¤,D!"3W�)(K%)XY>��%K#D3W%K#.%1XN<&�3WL2(K-�,.7)3K "eJ "3Pj.X ­ �3WL2(K-�71#&-�7)�1�23hI�Cm(K,.fi�)%1X9> ¬�oFE�1�)3Pj.X�� cZI�3WL�('-nX ¬*c �L�-�7)�1(h3[,. "-T3Pj.X9�2X��.�2X�� ¬ XY�&�e&�)!$#J71 �3Pj&X9<AX5�AX5�&�2XY� ­ X ­2¬ X ¬zc ��X ¬*c >&M�1-2-�6� $,.U&(W,Df�X2�&�&M�1('(K },.-26���#&U&U& "#�X��&�eJ $6��)#i "fu,DU&�1%)X��2X5�.�eJ $%'L5,.!n3W(K,.7[RT $-�U2X5� ­���1%K!"�)j.X �.�FZ���)�1!$%�%K7)�1-5,D(K $#2X5�2X5�T<FZ�Vj2�J3W#&�2�N�)6p71#.-�71�)�23'I�Cm(W,.fg�.X ­ �AX ¬*c �FE#&(K!"6�fg#A62�1!�X�<��FZ(K#.-�Ui "-V3W�1('��(K�O3[,D3K $#&-2%1X ¬*c �FZ(K#.-�Ui%' $6��4#.C�(K#&,.6nX ­ �� ��b ��XY>D�2XY�.�2X ¬zc �