ľѓÒľ ҽbahahs ҽ ľы нѝsdcѽ нѝsdvѽà нѝarѽà нѝaRѽà нѝadѽà нѝarLѽà нѝaLѽ нѝdcѽà нѝƾѽ нѝѽ нѝѽ нѝнѽ нѝÝѽ нѝվѽ нѝ¾ѽ нѝÝѽà нѝzѽà нѝXAMѽà վҽ Ͻ Ì ѽѠվ$P dc\L$վϠϽϠѽվ ƾϢվܠѠϽϠҠ ϠàѠܠàϢ ѠѠϽվ$P dc\L$ѽѠϽ Ҡ۾ܠѠϽѠ ҠԠѽˠ վ: ѠľվվϠѽѠվ ѠվϠѽѠվѠϢ Ѡվ$qel\$ϠվƾҠ $qeg\$ѠվҠ$qeg\$Ϡվ ƾҠ$qel\$Ϣ ҽѠàѠվѠ ϽϠàѽàվѽľվƾѽϢ ѽľվϽϠàѽàվƾѽ Ϣ վƾϢ ƾվѠѽ: }*ngila{nigeb\ 2_x3+1_x2=z:&xaM\:lamirP \\ }lrr{}yarra{nigeb\{\tfel\t dc\s& 6qel\&2_x!\!\&+1_x;\;\ \\ 8qel\&2_x2!\!\&+1_x;\;\ \\ 3qel\&2_x& \\ 0qeg\&2_x&,1_x .thgir\}yarra{dne\ }*ngila{dne\ ѠϽѠѠàѠϽ: }*ngila{nigeb\ 3_y3+2_y8+1_y6=w&:niM\:lauD \\ }lrrr{}yarra{nigeb\{\tfel\t dc\s& 2qeg\&&2_y;\;\+&1_y \\ 3qeg\&3_y+&2_y2+&1_y \\ 0qeg\&3_y,&2_y,&1_y .thgir\}yarra{dne\ }*ngila{dne\ ƾ¾ϠҠѠâ ѠϠϠѠϠϠϢҠ ۾ϠϢѠ ѠҠѠ$i$$j$ѠѠѽâ¾ Ͻ۾ϠϢվѽ ѽϢ }c|ccc|c{}yarra{nigeb\$$ ы &3_s&2_s&1_s& \\ enilh\ 003&3&4&2&1_w \\ 006&4&3&5&2_w \\ enilh\ ۾ &004&003&002& $$}yarra{dne\ : $$ ҠѠ$i$$j$ $$}ji{_x: ľ: +}31{_x3+}21{_x4+}11{_x2=0_x:nim\$$ $$}32{_x4+}22{_x2+}12{_x5 : }rrrrrrr{}yarra{nigeb\{\tfel\$$ 003qel\&&&&}31{_x+&}21{_x+&}11{_x \\ 006qel\&}32{_x+&}22{_x+&}12{_x&&& \\ 002qeg\&&&&&}12{_x+&}11{_x \\ 003qeg\&&}22{_x+&&&}21{_x& \\ 004qeg\&}32{_x+&&&+}31{_x&& \\ }3,2,1=j;2,1=i;0qeg\x{}l{}7{nmulocitlum\ $$.thgir\}yarra{dne\ }c{}yarra{nigeb\worrathgiR\$$ 1_y \\ 2_y \\ 3_y \\ 4_y \\ 5_y }llcr{}yarra{nigeb\{\tfel\}yarra{dne\ 003-qeg\&}31{_x-&}21{_x-&}11{_x- \\ 006-qeg\&}32{_x-&}22{_x-&}12{_x- \\ 002qeg\&&}12{_x+&}11{_x \\ 003qeg\&&}22{_x+&}21{_x \\ 004qeg\&&}32{_x+&}31{_x $$.thgir\}yarra{dne\ 2_y006-1_y003-=0_y:xam\:lauD aR\$$ $$5_y004+4_y003+3_y002+ }sesac{nigeb\t dc\s$$ 2qel\3_y+1_y- \\ 4qel\4_y+1_y- \\ 3qel\5_y+1_y- \\ 5qel\3_y+2_y- \\ 3qel\4_y+2_y- \\ 4qel\5_y+2_y- \\ 5,stodc\,2,1=i;0qeg\i_y $$}sesac{dne\ ѠϽվѽà: վ蠽: }*ngila{nigeb\ j semit\j_C}1=j{_n^mus\=0_x&:xam\lamirP \\ }sesac{nigeb\t dc\s& m,stodc\,2,1=i;i_b qel\j semit\}ji{_a}1=j{_n^mus\ n,stodc\,2,1=j; \\ 0qeg\j_x }sesac{dne\ }*ngila{dne\ վ: }*ngila{nigeb\ i_yi_b}1=i{_m^mus\=0_y&:nim\lauD \\ }sesac{nigeb\t dc\s& n,stodc\,2,1=j;j_c qeg\i_y}ji{_a}1=i{_m^mus\ \\ 0qeg\i_y }sesac{dne\ }*ngila{dne\ վľϽ: }*ngila{nigeb\ j_xj_c}1=j{_n^mus\=0_x=0_x&:xam\lamirP \\ }sesac{nigeb\t dc\s& i_b=j semit\}ji{_a}1=j{_n^mus\ \\ m,stodc\,2,1=i;0qeg\i_b,j_x }sesac{dne\ }*ngila{dne\ ѠϽàվѽվ: }sesac{nigeb\t dc\s$$ i_b qel\j semit\}ji{_a}1=j{_n^mus\ \\ i_b qeg\j semit\}ji{_a}1=j{_n^mus\ \\ 0qeg\i_b;0qeg\j_x }sesac{nigeb\aR\}sesac{dne\ i_b qel\j semit\}ji{_a}1=j{_n^mus\;\;\;\ \\ i_b-qeg\j semit\}ji{_a}1=j{_n^mus\- \\ 0qeg\i_b;0qeg\j_x;\;\;\ $$}sesac{dne\ ̾ҽàѠ$i_+^y$ҽàѠ $i_-^y$ѽн }*ngila{nigeb\ :lauD mus\-i_+^yi_b}1=i{_m^mus\=0_y&:nim\ i_-^yi_b}1=i{_m^ \\ }sesac{nigeb\t dc\s& i_-^y}ji{_a}1=i{_m^mus\-i_+^y}ji{_a}1=i{_m^mus\ j_c qeg\ \\ m,stodc\,2,1=i;n,stodc\,1=j;0qeg\i_-^y,i_+^y }sesac{dne\ }*ngila{dne\ ̾ѽѠ:$i_-^y-i_+^y=i_y$ѽ: }*ngila{nigeb\ :lauD i_yi_b}1=i{_m^mus\=0_y&:nim\ \\ }sesac{nigeb\t dc\s& i_y}ji{_a}1=i{_m^mus\ j_c qeg\ \\ :i_y ҽϠѠË m,stodc\,2,1=i;n,stodc\2,,1=j: }sesac{dne\ }*ngila{dne\ ѠվҽϠѠà }*ngila{nigeb\ j_xj_c}1=j{_n^mus\=0_x&:xam\:lamirP \\ }sesac{nigeb\t dc\s& i_b qel\j_x}ji{_a}1=j{_n^mus\ \\ :j_x ҽϠѠË m,stodc\,2,1=i: }sesac{dne\ }*ngila{dne\ ׾̾àҽϠѠàѽ ѠàϽ: }*ngila{nigeb\ :lauD i_yi_b}1=i{_m^mus\=0_y&:nim\ \\ }sesac{nigeb\t dc\s& j_c=i_y}ji{_a}1=i{_m^mus\ \\ n,stodc\,1=j;0qeg\i_y }sesac{dne\ }*ngila{dne\ Ѡվľ蠽Ҡվ àվվվϢ }*ngila{nigeb\ j_xj_c}1=j{_n^mus\=0_x&:xam\:lamirP \\ }sesac{nigeb\t dc\s& 'm,stodc\,2,1=i;i_b qel\j_x}ji{_a}1=j{_n^mus\ \\ "m,stodc\,1+'m=i:i_b qeg\j_x}ji{_a}1=j{_n^mus\ \\ m,stodc\,1+"m=i;i_b=j_x}ji{_a}1=j{_n^mus\ \\ 0qeg\j_x n,stodc\,2,1=j; }sesac{dne\ }*ngila{dne\ ϽѽѠ }llll{}yarra{nigeb\$$ 'm,stodc\,2,1=i;&i_b=&}i+n{_x+&j_x}ji{_a}1=j{_n^mus\ \\ "m,stodc\,1+'m=i;&i_b=&}i+n{_x-&j_x}ji{_a}1=j{_n^mus\ \\ m,stodc\,1+"m=i;&i_b=&&j_x}ji{_a}1=j{_n^mus\ \\ 0qeg\j_x $$}yarra{dne\ ̾ϽϠ$i_y,i_'y,i_"y$ѽ վϠ: }*ngila{nigeb\ +i_yi_b}1=i{_}'m{^mus\=0_y&:nim\lauD i_"yi_b}1+"m=i{_m^mus\+i_'yi_b}1+'m=i{_}"m{^mus\ \\ }sesac{nigeb\t dc\s& +i_y}ji{_a}1=i{_}'m{^mus\ i_"y}ji{_a}1+"m=i{_m^mus\+i_'y}ji{_a}1+'m=i{_}"m{^mus\ j_c qeg\ \\ 0qeg\i_y \\ 0qel\i_'y \\ :i_"y ҽϠѠË }sesac{dne\ }*ngila{dne\ վѽѠ̾à̾ľ ҠվҠѠҠҠç ҽϠѠàϠ̾Ϣ ƾվѠѽ: }*ngila{nigeb\ 4_x4-3_x3+2_x2+1_x=z&:xam\ \\ }rrrrr{}yarra{nigeb\t dc\s& 1qeg\&&3_x3+&2_x3-&1_x4 \\ 2qel\&4_x3+&3_x2+&2_x-& \\ 3=&4_x3-&&2_x4+&1_x \\ &&&0qel\&1_x \\ 0qeg\&3_x,&2_x \\ :&4_x ҽϠѠË &&& }yarra{dne\ }*ngila{dne\ $0qeg\4_"x,4_'x;4_"x-4_'x=4_x;0qeg\1_x-=1_'x$ѽѠ: }*ngila{nigeb\ )4_"x-4_'x(4-3_x3+2_x2-1_'x-=z&:xam\ \\ }rrrrrr{}yarra{nigeb\t dc\s& 1-qel\&&&3_x2-&2_x3+&1_'x4+ \\ 2qel\&4_"x3-&4_'x3+&3_x2+&2_x-& \\ 3qel\&4_"x3+&4_'x3-&&2_x4+&1_'x- \\ 3-qel\&4_"x3-&4_'x3+&&2_x4-&1_'x \\ 0qeg\&4_"x,&4_'x,&3_x,&2_x,&1_'x }yarra{dne\ }*ngila{dne\ ̾ҽѠàѠվѠýϠ Ҡ$1_'y,2_y,3_+^y,3_-^y$ }*ngila{nigeb\ 3_-^y3-3_+^y3+2_y2+1_"y-=w&:nim\:lauD \\ }rrrrr{}yarra{nigeb\t dc\s& 1-qeg\&3_-^y+&3_+^y-&&1_'y4 \\ 2-qeg\&3_-^y4-&3_+^y4+&2_y-&1_'y3 \\ 3qeg\&&&2_y2+&1_'y2- \\ 4-qeg\&3_-^y3+&3_+^y3-&2_y3& \\ 4qeg\&3_-^y3-&3_+^y3+&2_y3-& \\ 0qeg\&3_-^y,&3_+^y,&2_y,&1_'y }yarra{dne\ }*ngila{dne\ ̾ѠѽѠ:$1_'y=1_y-,3_-^y-3_+^y=3_y$ }*ngila{nigeb\ 3_y3+2_y2+1_y=w&:nim\ \\ }rrrr{}yarra{nigeb\t dc\s& 1-qeg\&3_y-&&1_y4- \\ 2-qeg\&3_y4+&2_y-&1_y3- \\ 3qeg\&&2_y2+&1y2 \\ 4-qeg\&3_y3-&2_y3& \\ 4qeg\&3_y3+&2_y3-& \\ &&0qeg\2_y;&0qel\1_y \\ :&3_y ҽϠѠË && }yarra{dne\ }*ngila{dne\ ѽվѽà: }*ngila{nigeb\ 3_y3+2_y2+1_y=w&:nim\:lauD \\ }rrrr{}yarra{nigeb\t dc\s& 1qel\&3_y+&&1_y4 \\ 2qel\&3_y4-&2_y+&1_y3 \\ 3-qel\&&2_y2-&1_y2- \\ 4=&3_+^y3+&2_y3-& \\ &&0qel\&1_y \\ &&0qeg\&2_y \\ :&3_y ҽϠѠË }yarra{dne\ }*ngila{dne\ ̾ѠϽܠ̾վƾϽ ֋ վϠվâ àڠվѠ: }*ngila{nigeb\ j_xj_c}1=j{_n^mus\=0_x&:xam\:P \\ }sesac{nigeb\t dc\s& i_b qel\j_x}ji{_a}1=j{_n^mus\ \\ m,stodc\,2,1=i;n,stodc\,2,1=j;0qeg\j_x }sesac{dne\ }*ngila{dne\ վ: }*ngila{nigeb\ i_yi_b}1=i{_m^mus\=0_y&:nim\:D \\ }sesac{nigeb\t dc\s& j_c qeg\i_y}ji{_a}1=i{_m^mus\ \\ 0qeg\i_y }sesac{dne\ }*ngila{dne\ ̾: }*ngila{nigeb\ i_yi_b}1=i{_m^mus\-=0_y-&:nim\:D \\ }sesac{nigeb\t dc\s& j_c-qeg\i_y}ji{_a}1=i{_m^mus\- \\ 0qeg\i_y }sesac{dne\ }*ngila{dne\ ̾ϽҠվ:ѽѠҠѠ$j_x$ ѠàϽ }*ngila{nigeb\ j_xj_c}1=j{_n^mus\-=)0_x-(&:xam\:D \\ }sesac{nigeb\t dc\s& i_b-qeg\j_x}ji{_a}1=j{_n^mus\- \\ 0qeg\j_x }sesac{dne\ }*ngila{dne\ ҠѿľѠ: }*ngila{nigeb\ j_xj_c}1=j{_n^mus\=0_x&:xam\ \\ }sesac{nigeb\t dc\s& i_b qel\j_x}ji{_a}1=j{_n^mus\ \\ m,stodc\,2,1=i;n,stodc\,1=j;0qeg\j_x }sesac{dne\ }*ngila{dne\ àվϠվ â ܠѠľվƾ: ܠѽà: Ѡ$x$$y$վϠ ϽѠľվվϽѠľվƾϠ Ϣ$w qel\z$ڠ }*ngila{nigeb\ nim\:D dauqq\dauqq\j_xj_c}1=j{_n^mus\=z&:xam\:P i_yi_b}1=i{_m^mus\=w: \\ }sesac{nigeb\t dc\s& i_b qel\j_x}ji{_a}1=j{_n^mus\ \\ m,stodc\,1=i dauq\0qeg\j_x }sesac{nigeb\t dc\s dauq\dauq\;\;\}sesac{dne\ j_cqeg\i_y}ji{_a}1=i{_m^mus\ \\ n,stodc\,1=j dauq\0qeg\i_y }sesac{dne\ }*ngila{dne\ àվѽѠ$1_y$վѽѠ$j_x$ ѿϽ: ;\;;\i_bi_y qel\j_x}ji{_a}1=j{_n^mus\i_y$$ $$j_xj_c qeg\i_y}ji{_a}1=i{_m^mus\j_x Ѡѽ$i$Ѡѽ$j$Ͻ: }llll{}yarra{nigeb\$$ &j_x}ji{_a}1=j{_n^mus\i_y}1=i{_m^mus\ ;\;;\&i_yi_b}1=i{_m^mus\qel\ qeg\&i_y}ji{_a}1=i{_m^mus\j_x}1=j{_n^mus\ j_xj_c}1=j{_n^mus\ \\ w qel\&j_x}ji{_a}1=j{_n^mus\i_y}1=i{_m^mus\ i_y}ji{_a}1=i{_m^mus\j_x}1=j{_n^mus\;\;;\& z qeg\& $$}yarra{dne\ ϠàܠϢн: $$w qel\z$$ ѠϽվѽƾ׾ ϠϽѠľվѠվϽѠľվ â }*ngila{nigeb\ 2_x5+1_x3=z&:xam\:lamirP \\ }lrr{}yarra{nigeb\t dc\s& 4qel\&&1_x \\ 6qel\&2_x& \\ 21qel\&2_x3+&1_x2 \\ 0qeg\&2_x,&1_x }yarra{dne\ }*ngila{dne\ }*ngila{nigeb\ 3_y21+2_y6+1_y4=w&:nim\:lauD \\ }lrr{}yarra{nigeb\t dc\s& 3qeg\3_y2+&1_y \\ 5qeg\3_y3+&2_y \\ 0qeg\3_y,&2_y,&1_y }yarra{dne\ }*ngila{dne\ ̾ѽվѠ: Ѡ۾ }xirtamp{nigeb\=y$ 2 \\ 3 \\ 1 }xirtamp{nigeb\=x,}xirtamp{dne\ 1 \\ 1 $}xirtamp{dne\ ѠϠϽ: $$83=)1(21+)3(6+)2(4=w;\;;\8=)1(5+)1(3=z$$ ѠϠ$z qeg\w$ ܠվƾ: Ѡ̾àվƾܠѠѽϢ }ccc{}yarra{nigeb\$$ վ && վƾ \\ Ͻѽϋ &arL\& Ͻѽϋ \\ Ͻѽϋ &aR\& \\ &arL\& ϋ $$}yarra{dne\ ̾ѠϽѽѠ젽Ҡ̾àƾѽˠ ̾àƾѠѽѠѠ: }*ngila{nigeb\ 2_x5+1_x7=z&:xam\:lamirP \\ }lrr{}yarra{nigeb\t dc\s& 012qel\&2_x3+&1_x4 \\ 09qel\&2_x+&1_x2 \\ 0qeg\2_x,&1_x }yarra{dne\ }*ngila{dne\ ѽь3-1 ˌ }*ngila{nigeb\ 0=)0(5+)0(7=&)0(z \\ 053=)07(5+)0(7=&)A(z \\ 063=)03(5+)03(7=&)B(z \\ 513=)0(5+)54(7=&)C(z \\ ;063=)B(z=&}tsa\{^z aR\ }*ngila{dne\ ̾վѽ: }*ngila{nigeb\ 2_y09+1_y012=w&:nim\:lauD \\ }lrr{}yarra{nigeb\t dc\s& 7qeg\2_y2+&1_y4 \\ 5qeg\2_y+&1_y3 \\ 0qeg\&2_y,&1_y }yarra{dne\ }*ngila{dne\ ѽь3-2 ˌ }*ngila{nigeb\ 012=)B(w;\;;\054=)5(09+)0(012=&)A(w 063=)thgir\21carf\(tfel\09+)thgir\23carf\(tfel\ \\ 5.763=)0(09+)thgir\47carf\(tfel\012=&)C(w \\ 063=)B(w=&}tsa\{^w aR\ }*ngila{dne\ ϠվƾϽѽϠϢ ̾àƾѠѽѠѠ: }*ngila{nigeb\ 2_x2+1_x3=z&:xam\:lamirP \\ }lrr{}yarra{nigeb\t dc\s& 1qel\&2_x-&1_x \\ 3qeg\&2_x+&1_x \\ 0qeg\2_x,&1_x }yarra{dne\ }*ngila{dne\ ѽь3-3 ˌ ѠϠվϽѽϠâ̾ վѽ }*ngila{nigeb\ 2_y3-1_y=w&:nim\:lauD \\ }lrr{}yarra{nigeb\t dc\s& 3qeg\2_y-&1_y \\ 2qeg\2_y-&1_y- \\ 0qeg\&2_y,&1_y }yarra{dne\ }*ngila{dne\ ѽь3-4 ˌ Ϡվâ ̾àվϽѽѠѠ: }*ngila{nigeb\ 2_x2+1_x3=z&:xam\:lamirP \\ }lrr{}yarra{nigeb\t dc\s& 1qel\&2_x-&1_x \\ 4qeg\&2_x3+&1_x2 \\ 0qeg\2_x,&1_x }yarra{dne\ }*ngila{dne\ ѽь3-5 ˌ ѠϠվѠվ Ϡà }*ngila{nigeb\ 2_y4-1_y=w&:nim\:lauD \\ }lrr{}yarra{nigeb\t dc\s& 3qeg\2_y2-&1_y \\ 2qeg\2_y3-&1_y \\ 0qeg\&2_y,&1_y }yarra{dne\ }*ngila{dne\ ѽь3-6 ˌ ϠվҠϽѽϠàѽҽ ܠѠľѽվâ ̾àվϽѽѠѠ: }*ngila{nigeb\ 2_x+1_x=z&:xam\:lamirP \\ }lrr{}yarra{nigeb\t dc\s& 1-qel\&2_x-&1_x \\ 1-qel\&2_x+&1_x- \\ 0qeg\2_x,&1_x }yarra{dne\ }*ngila{dne\ ѽь3-7 ˌ ѠϠվѠվ Ϡâվ }*ngila{nigeb\ 2_y-1_y-=w&:nim\:lauD \\ }lrr{}yarra{nigeb\t dc\s& 1qeg\2_y-&1_y \\ 1qeg\2_y+&1_y- \\ 0qeg\&2_y,&1_y }yarra{dne\ }*ngila{dne\ ѽь3-8 ˌ ϠվƾҠϠâ ܠվƾ: ܠѽàˠ ֋ ¾ ѠվϠϧ$0_x,0_y$ ѽϠϠ$b0_Y^y=0_xT^c$ àվѠѽѠѠ: }*ngila{nigeb\ dauqq\dauq\xT^c=z&:xam\ bT^y=w:nim\ \\ b qel\xA}sesac{nigeb\& \\ 0qeg\}x{}mis\{tesrednu\ }sesac{nigeb\dauqq\dauq\}sesac{dne\ T^c qeg\AT^y \\ 0qeg\}y{}mis\{tesrednu\ }sesac{dne\ }*ngila{dne\ ѽ$A$̾àѠѠ ̾à:ڠϠ$A$ϢԠѽѽվ վàнàà ѽľѠҠܠâڠϠѽ $0_x$̾$0_T^y=}1-{^BB_T^c$ѽѠѽѠѠ $B$Ԡ¾$0_x$Ϣ }*ngila{nigeb\ )N_T^c,B_T^c(-)N,B(}1-{^BB_T^c=&T^c-A0_T^y \\ N}1-{^BB_T^c;\,;\B_T^c-}1-{^BB_T^c(=& )N_T^c- \\ )0qeg\,0(=& }*ngila{dne\ ܠ$dauq\0qeg\N_T^c-N}1-{^BB_T^c$ aR\0qeg\T^c-0_T^y aR\$$ $$T^c qeg\A0_T^y ϽѠľѽѠà: }*ngila{nigeb\ B_T^c=b}1-{^BB_T^c=b0_T^y=&0_x =N_xN_T^c+B}x{}mis\{tesrednu\ }xirtamp{nigeb\)N_c,B_c( B_x \\ N_x }xirtamp{dne\ \\ 0_z=&}x{}mis\{tesrednu\T^c }*ngila{dne\ Ԡ$0_x,0_y$Ϣ ̾à:$A$ϠѠàҠàϽàվ ڠϠ$A$ѽѠà }xirtamp{nigeb\$ 1_A \\ 2_A $}xirtamp{dne\ $1_A$Ϡ$2_A$à $1_A$ϢԠѽ: }*ngila{nigeb\ }xirtamp{nigeb\& 1_A \\ 2_A }xirtamp{nigeb\qeg\x}xirtamp{dne\ 1_b \\ 2_b }xirtamp{nigeb\aR\}xirtamp{dne\ x1_A \\ x2_A }xirtamp{nigeb\qel\}xirtamp{dne\ 1_b \\ 2_b }xirtamp{dne\ \\ }sesac{nigeb\aR\& 1_b qel\x1_A \\ 0qeg\x }sesac{dne\ }*ngila{dne\ ̾վàѠ֠: }*ngila{nigeb\ x_T^c=z&:xam\ \\ }sesac{nigeb\& 1_b qel\x1_A \\ 0qeg\}x{}mis\{tesrednu\ }sesac{dne\ }*ngila{dne\ Ϡ̾àվϽѽàվϠ$1_A$ ҠϠнϠ$0_x$¾$1_B$ѽ վϽϢѽѠ: =0_y;\,;\1_}1-{^B}1_B{_T^c=}10{_T^y$$ }xirtamp{nigeb\ }10{_y \\ }20{_y }xirtamp{nigeb\=}20{_y;\,;\}xirtamp{dne\ 0 \\ 0 \\ stodv\ \\ 0 $$}xirtamp{dne\ Ͻ: }*ngila{nigeb\ }xirtamp{nigeb\)}20{_T^y,}10{_T^y(=&T^c-A0_T^y 1_A \\ 2_A T^c-}xirtamp{dne\ \\ =T^c-)2_A}20{_T^y+1_A}10{_T^y(=& -)1_N,1_B(1_}1-{^BB_T^c }T^c{}})N_T^c,B_T^c({}ad\{tesrevo\{tesrednu\ \\ 1_}1-{^B}1_B{_T^c,1_B1_}1-{^B}1_B{_T^c(=& )}1_N{_T^c-1_N \\ T^c qeg\A0_T^yaR\0qeg\T^c-A0_T^yaR\& }*ngila{dne\ ѽ$0_T^y$$0_y$ѽվϢ }*ngila{nigeb\ }xirtamp{nigeb\)}20{_T^y,}10{_T^y(=b0_T^y=&0_w 1_b \\ 2_b 2_b}20{_T^y+1_b}10{_T^y=}xirtamp{dne\ \\ =1_b}1-{^BB_T^c=1_b}10{_T^y=& +}1_B{_x}1_B{_T^c=}1_B{_}x{}mis\{tesrednu\}1_B{_T^c }1_N{_x}1_N{_T^c \\ }xirtamb{nigeb\]}1_N{_T^c,}1_B{_T^c[=& }1_B{_x \\ }1_N{_x 0_z=}0_x{_T^c=}xirtamb{dne\ }*ngila{dne\ ԠѠ$0_x,0_y$ Ϣ Ì۾ѿԋ ѽ¾ѽѠѠѠ̾۾ѿԠϢ ¾ϠϢ ÌվϠ$secirp wodahs$ ۾ѿԠѽѠľ̾վϢ վ̾վϢ$m_y,stodc\,2_y,1_y$ }*ngila{nigeb\ by=&w \\ }xirtamb{nigeb\]m_y,stodc\,i_y,stodc\,2_y,1_y[=& 1_b \\ 2_b \\ stodv\ \\ i_b \\ stodv\ \\ n_b }lr{}yarra{nigeb\}xirtamb{dne\ i+i_b& \\ i_b atleD\+i_b&ar\ }yarra{dne\ \\ i_b atleD\i_y+by=&w \\ i_y+0_w=& }*ngila{dne\ $tsa\:$ϠҽϠҽ֠Ѡ$i$Ͻ$i_y$ ѻϠϠ̾۾ϠϠҠ$i_y$ѽàվ$i$ Ϡѽ$i_y$֠ѠϠҠ$i$ѽؠϠҽ Ϡҽ֠ѠѠ֠ѠľϽâ վ֠پàѠϠ۾Ҡ ѠҠ֠ѠľϠϠϧѠ ѽ۾ վҠľվà Ѡà: ¾ѠϐѠѠѠ ϠϠѠѠ¾ϧ ҼѠѠϠϠѽ Ҡ$m$ϠѠվҠ վϠѠվѽàϠϽϢ ÌϝϠ$.mhT ssenkcals yratnemelpmoc$ Ѡ$0_x,0_y$վ: }*ngila{nigeb\ dauq\dauqq\;\xc=z&:xam\:lanimirP by=w:nim\:lauD \\ }sesac{nigeb\& b qel\A \\ 0qeg\x }sesac{nigeb\dauq\dauqq\}sesac{dne\ c qeg\Ay \\ 0qeg\y }sesac{dne\ }*ngila{dne\ Ϡ$0_x,0_y$ϠѠܠ: $0=)xA-b(0_y+0_x)c-A0_y($ à 0_y+0_x$$ ϋ $$0=)xA-b(0_y+0_x)c-A0_y(arL\ Ѡ$0_x,0_y$ϠϽ: }*ngila{nigeb\ dauqq\dauqq\0_xc=z&:xam\:P b0_y=w:nim\:lauD \\ }sesac{nigeb\& b qel\0_xA \\ 0qeg\0_x }sesac{nigeb\dauq\dauqq\;\;\;\}sesac{dne\ c qeg\A0_y \\ 0qeg\0_y }sesac{dne\ }*ngila{dne\ ̾ѽľϽϠ: }*ngila{nigeb\ }c{}yarra{nigeb\ 0_y \\ ;\ }yarra{dne\ }sesac{nigeb\& b=0_U+0_xA \\ 0qeg\0_x }c{}yarra{nigeb\dauq\}sesac{dne\ 0_x \\ ;\ }yarra{dne\ }sesac{nigeb\ c=0_V-A0_y \\ 0qeg\0_y }sesac{dne\ \\ }sesac{nigeb\&aR\ )1(dauqq\b0_y=0_U0_y+0_xA0_y \\ )2(dauqq\0_xc=0_x0_V-0_xA0_y }sesac{dne\ \\ -b0_y=0_x0_V+0_xA0_y-0_U0_y+0_xA0_y aR\&)2(-)1( )tsa\(0_xc \\ 0_xc-b0_y=0_x0_V+0_U0_y aR\& }*ngila{dne\ Ѡ$0_x,0_y$ϠѠàϽ:$0_xc=b0_y$ѠϽ: $dauq\)tsa\tsa\(dauq\0=0_x0_V+0_U0_y$ }*ngila{nigeb\ 0_U0_y=0_xA0_y-b0_y+0_xc-0_xA0_y aR\&)tsa\( 0_x0_V+ \\ =)0_xA-b(0_y+0_x)c-A0_y(aR\& {tesrevo\0_x0_V+0_U0_y $)tsa\tsa\($ 0}={} \\ 0=)0_xA-b(0_y+0_x)c-A0_y(aR\& }*ngila{dne\ à:ѠѽѠѽѠϠҠѽѠ 0_U0_y=)0_xA-b(0_y+0_x)c-A0_y($$ $$0_x0_V+ Ͻ:$0_x0_V+0_U0_y$ ѽѠҠѽ$0_xc-b0_y=0_x0_V+0_U0_y$̾Ϣ $$0_xc=b0_y aR\0=0_xc-b0_y$$ ׾Ϡ$0_x,0_y$վϢ ÌѽܠϠ$:snoitidnoc ssenkcalsyratnemelpmoc$ }*ngila{nigeb\ }sesac{nigeb\&aR\0=0_U0_y+0_x0_V 0=0_x0_V \\ 0=0_U0_y }sesac{dne\ \\ }sesac{nigeb\aR\& 0=j_xj_V}1=j{_n^mus\ \\ 0=i_Ui_y}0=i{_m^mus\ }sesac{nigeb\aR\dauq\}sesac{dne\ n,stodc\,2,1=j llarof\;\;;\0=j_xj_V \\ m,stodc\,2,1=i llarof\;\;;\0=i_Ui_y }sesac{dne\ \\ }sesac{nigeb\& 0=j_V aR\0>j_x \\ 0=j_x aR\0>j_V }sesac{dne\ à$j$àվâ \\ }sesac{nigeb\& 0=i_U aR\0>i_y \\ 0=i_y aR\0>i_U }sesac{dne\ à$i$àվâ }*ngila{dne\ ѠѠ$0>j_x$ѠѠѠàϠϠ $0=j_V$ ѠϠվ뾬àϠ$)0>i_U($Ѡ Ѡà$i_y$ԠѠѽѠѠϢ Ѡ$0>i_y$àѠѠվàϢ $)o=i_U($ Ѡ$0=j_x$$j_V$Ѡ Ϣ ƾ }*ngila{nigeb\ 4_x4+3_x3+2_x2+1_x=z&:xam\ \\ }c{}yarra{nigeb\t dc\s& 1_y \\ 2_y \\ }yarra{dne\ }rrrrr{}yarra{nigeb\{\tfel\ 02qel\&4_x3+&3_x2+&2_x2+&1_x \\ 02qel\&4_x2+&3_x3+&2_x+&1_x2 \\ 4,3,2,1&=j&;&0qel\&j_x .thgir\}yarra{dne\ \\ 2_y02+1_y02=w&:nim\ \\ }rrr{}yarra{nigeb\t dc\s& 1qeg\&2_y2+&1_y \\ 2qeg\&2_y+&1_y2 \\ 3qeg\&2_y3+&1_y2 \\ 4qeg\&2_y2+&1_y3 \\ 0qeg\&2_y,&1_y }yarra{dne\ }*ngila{dne\ ڠ$2.1=1_y,20=2_y$Ϣ̾ѽ à: }*ngila{nigeb\ }r{}yarra{nigeb\{\tfel\& 02=1_u+4_x3+3_x2+2_x2+1_x \\ 02=2_u+4_x2+3_x3+2_x+1_x2 .thgir\}yarra{dne\ \\ }r{}yarra{nigeb\{\tfel\& 1=1_v+2_y2+1_y \\ 2=2_v-2_y+1_y2 \\ 3=3_v-3_y3+1_y2 \\ 4=4_v-2_y2+1_y3 worrathgiR\.thgir\}yarra{dne\ }l{}yarra{nigeb\ 60=1_v \\ 60=2_v \\ 0=3_v \\ 0=4_v }yarra{dne\ \\ 0=2_y2_u;\,;\0=&1_y1_u }}worrathgiR\{}0>1_y{tesrevo\{}0>2_y{tesrednu\ 0=2_u;\,;\0=1_u \\ ;\,;l\0=2_x2_v;\,;\0=&1_x1_v 0=4_x4_v;\,;\0=3_x2_v \\ dauq\0=&}1_x{}worranwoD\{tesrevo\ 0=}2_x{}worranwoD\{tesrevo\ }*ngila{dne\ Ͻ: }*ngila{nigeb\ }l{}yarra{nigeb\{\tfel\& 02=4_x3+3_x2 \\ 02=4_x2+3_x3 worrathgiR\.thgir\}yarra{dne\ 4=3_x;\,;\4=4_x \\ }r{}yarra{nigeb\worrathgiR\& 82=}tsa\{^z \\ 82=}tsa\{^w dauqq\dauqq\}yarra{dne\ }x{}mis\{tesrednu\ }xirtamp{nigeb\= 0 \\ 0 \\ 4 \\ 4 }xirtamp{dne\ }*ngila{dne\ $}tsa\{^w=}tsa\{^z$ԠϢ ƾ }*ngila{nigeb\ worrathgir\2_x+1_x6=z xaM\:&P 2_x+1_x6=6 \\ }l{}yarra{nigeb\& 1_y \\ 2_y }lrr{}yarra{nigeb\{\tfel\}yarra{dne\ 8qel\&2_x3+&1_x2 \\ 2qeg\&2_x2-&1_x4 \\ 0qeg\&2_x,&1_x worrathgir\.thgir\}yarra{dne\ 2-qel\2_x2+1_x4- }*ngila{dne\ ѽь3-9 ˌ }*ngila{nigeb\ ϽѠ }xirtamp{nigeb\& 4=1_x \\ 0=2_x \\ 0=1_s \\ 41=2_x }0_x{}mis\{tesrednu\=}xirtamp{dne\ \\ 42=&B_Z \\ }8{}41{carf\+}8{}66{carf\=&C_Z 01= \\ 2_y2+1_y8=&y niM\:D \\ }rrr{}yarra{nigeb\{\tfel\& 6qeg\&2_y4-&1_y2 \\ 1qeg\&2_y2+&1_y3 \\ 0qeg\&2_y,&1_y worrathgiR\.thgir\}yarra{dne\ }rrrr{}yarra{nigeb\{\tfel\ 6=&1_x-&2_y4-&1_y2 \\ 1=&2_v-&2_y2+&1_y3 .thgir\}yarra{dne\ \\ 4=1_x worrathgiR\0=&1_x1_v 0=1_v worrathgiR\ \\ 41=2_u worrathgiR\0=&2_y2_u 0=2_y worrathgiR\ \\ }l{}yarra{nigeb\{\tfel\worrathgiR\& 3=1_y worrathgiR\6=0-0-1_y2 \\ 8=2_v worrathgiR\1=2_v-0+3_x3 .thgir\}yarra{dne\ \\ }xirtamp{nigeb\=&}y{}mis\{tesrednu\ 0_y=3 \\ 2_y=0 \\ 1_v=0 \\ 2_v=8 }xirtamp{dne\ \\ }xirtamp{nigeb\)2_y;\1_y(=&0_y 1_b \\ 2_b }xirtamp{nigeb\)0;\;\3(=}xirtamp{dne\ 8 \\ 2- }xirtamp{dne\ \\ 42=& }*ngila{dne\ ѽܠֆľю: $dc\}sn{^dnoc dc\T dc\K dc\K$ ܠѽ$0_x$ վ: }*ngila{nigeb\ xc=z;\&xaM\:P \\ }r{}yarra{nigeb\{\tfel\& b qel\xA \\ 0qeg\x .thgir\}yarra{dne\ }*ngila{dne\ àܠѠѽѠ: }*ngila{nigeb\ 0>0_x dauqq\b qel\0_xA;\&)i \\ 0>0_y dauqq\c qeg\A0_y;\&)ii \\ 0=0_x)c-A0_y(;\&\;\0=)0_xA-b(0_y;\&)iii }*ngila{dne\ ѠϽƾѽѠ: ƾàվϽҠѽܠϢ }*ngila{nigeb\ 4_x4+3_x3+2_x2+1_x=&z :xaM\ \\ }l{}yarra{nigeb\{\tfel\&dc\t dc\s 02qel\4_x3+3_x2+2_x2+1_x \\ 02qel\4_x2+3_x3+2_x+1_x2 \\ 4,3,2,1=j;\0qeg\j_x .thgir\}yarra{dne\ }*ngila{dne\ Ͻվѽ: }*ngila{nigeb\ 2_y02+&1_y02=w nim\ \\ 1qeg\2_y2+&1_y \\ 2qeg\2_y;\+&1_y2 \\ 3qeg\2_y3+&1_y2 \\ 4qeg\2_y2+&1_y3 \\ 0qeg\2_y;\;\;\,;\&1_y }*ngila{dne\ ̾Ҡ֠ϠϽ: ѽь3-01 ˌ }*ngila{nigeb\ +)2.1(02=)B(w=&}tsa\{^w worrathgiR\ =0_y;\;;\82=)9.0(02 )2.0,2.1(=)2_y,1_y( \\ 2,1=i;\;;\0=&i_ui_y \\ 0=1_u worrathgiR\0>1_y;\;;\0=&1_u1_y \\ 0=2_u worrathgiR\0>2_y;\;;\0=&2_u2_y \\ 3_x2+2_x2+1_x worrathgiR\0=&1_u 02=4_x3+ \\ 02=4_x2+3_x3+2_x+1_x2 worrathgiR\0=&2_u }*ngila{dne\ ̾: }lcr{}yarra{nigeb\$$ worrathgiR\&)2.0,2.1(=)2_y,1_y(&;\1=1_v-2_y2+1_y 6.0=1_v \\ 6.0=2_v worrathgiR\&&;\2=2_v-2_y+1_y2 \\ 0=3_v worrathgiR\&&;\3=3_v-2_y3+1_y2 \\ 0=4_v worrathgiR\&&;\4=4_v-2_y2+1_y3 $$}yarra{dne\ }*ngila{nigeb\ Ҡ ;0=&j_xj_v \\ 0=1_x worrathgiR\0>1_v;0=&1_x1_v \\ 0=2_x worrathgiR\0>2_v;0=&2_x2_v \\ 0>3_x worrathgiR\0=3_v;0=&3_x3_v \\ 0>4_x worrathgiR\0=4_v;0=&4_x4_v \\ }l{}yarra{nigeb\{\tfel\& 02=4_x3+3_x2 \\ 02=4_x2+3_x3 .thgir\}yarra{dne\ \\ 4=4_x;\;;\4=3_x worrathgiR\& )4,4,0,0(=t^0_x worrathgiR\ }*ngila{dne\ ̾Ҡàѽ: }*ngila{nigeb\ }xirtamp{nigeb\)4,3,2,1(=0_xc=&}tsa\{^z 0 \\ 0 \\ 4 \\ 4 82=}xirtamp{dne\ \\ }xirtamp{nigeb\)02,02(=0_yb=&}tsa\{^w 2.1 \\ 2.0 82=}xirtamp{dne\ }*ngila{dne\ ѠϠ$}tsa\{^w=}tsa\{^z$ ѠàҠ֠ϠվҠѽ ֠Ԑ̾վվվҽϠ ѽҠҠܠѠàϢ ¾Ѡѽ̾վҠ վ: Ѡàվ̾àϠѠ վƾϢнվѽҠ վѠ̾ϢѠ: Ҡվѽѽ̾ վѠѠѠѠվàѠϠ ̾Ϣ ϽѠվѠѠѠվվѠ ϽվѽѠϽϢ ѠվľϽϠϠϽѠվƾ àѠϠ̾Ϣ ѠվѠľϽϠ֠$M$Ϡ$M$ ѽҠѠ̾ѠϠϠ Ѡľ蠽վà$xaM$ϠѠàѠϠ ϽѠվƾϢѠѠàľ $niM$ϐѠàѠϠѽѠ$)1-($ѿ ƾվѠѽѠѠ: }*ngila{nigeb\ 2_x01+1_xV=&z:xaM\:lamirP \\ }lrr{}yarra{nigeb\{\tfel\&t dc\s 63qel\&2_x2+&1_x3 \\ 04qel\&2_x4+&1_x2 \\ 0qeg\&2_x,&1_x .thgir\}yarra{dne\ }*ngila{dne\ Ͻվѽ: }c|cccc|c|r{}yarra{nigeb\$$ &2_u&1_u&2_x&1_x&z&B_x àѽË \\ enilh\ 0&0&0&worrapu\01-&7-&1&z \\ enilh\ 63&0&1&2&3&0&1_u \\ 04&1&0&4&2&0&2_worratfel\ $$}yarra{dne\ }c|cccc|c|r{}yarra{nigeb\$$ &2_u&1_u&2_x&1_x&z&B_x àѽË \\ enilh\ 001&25carf\&0&0&worrapu\2-&1&z \\ enilh\ 61&21carf\-&1&0&2&0&1_u worratfel\ \\ 01&41carf\&0&1&21carf\&0&2_x $$}yarra{dne\ }c|cccc|c|r{}yarra{nigeb\$$ &2_u&1_u&2_x&1_x&z&B_x àѽË \\ enilh\ 611&2&1&0&0&1&z \\ enilh\ 8&41carf\-&21carf\&0&1&0&1_x \\ 6&83carf\&41carf\-&1&0&0&2_x $$}yarra{dne\ Ϡà }*ngila{nigeb\ ;6=2_x;\;0=1_v;\;8=&1_x ;;\0=2_u;\ վ )0,0,6,8( \\ ;\;2=2_y;\;0=1_u;\;1=&1_y ;;\0=2_u վƾ )0,0,2,1( }*ngila{dne\ ̾վƾƾϽ }*ngila{nigeb\ 1_y63=&w:nim\:lauD 2_RM+1_Rm+2_y04+ \\ }l{}yarra{nigeb\{\tfel\&t dc\s 7=1_R+1_v-2_y2+1_y3 \\ 01=2_R+2_v-2_y4+1_y2 \\ 0qeg\2_R,1_R,2_u,1_u,2_y,1_y .thgir\}yarra{dne\ }*ngila{dne\ }c|cccccc|c|r{}yarra{nigeb\$$ &2_R&1_R&2_v&1_v&2_y&1_y&w&B_x àѽË \\ enilh\ 0&M-&M-&0&0&04-&63-&1&w \\ enilh\ 7&0&1&0&1-&2&3&0&1_R \\ 01&1&0&1-&0&4&2&0&2_R $$}yarra{dne\ }c|cccccc|c|r{}yarra{nigeb\$$ &2_R&1_R&2_v&1_v&2_y&1_y&w&B_x \\ enilh\ M71&0&0&M-&M-&worrapu\M6+04-&885+63-&1&w \\ enilh\ 7&0&1&0&1-&2&3&0&1_R \\ 01&1&0&1-&0&4&2&0&2_R worratfel\ $$}yarra{dne\ }c|cccccc|c|r{}yarra{nigeb\$$ &2_R&1_R&2_v&1_v&2_y&1_y&w&B_x \\ enilh\ &M23carf\-01&0&M21carf\-01-&M-&0&worrapu\M2+61-&1&w M2+001 \\ enilh\ 2&21carf\-&1&21carf\&1-&0&2&0&1_R worratfel\ \\ 25carf\&41carf\&0&41carf\-&0&1&21carf\&0&2_y $$}yarra{dne\ }c|cccccc|c|r{}yarra{nigeb\$$ &2_R&1_R&2_v&1_v&2_y&1_y&w&B_x \\ enilh\ 611&M-6&M-8&6-&8-&0&0&1&w \\ enilh\ 1&41carf\-&21carf\&41carf\&21carf\-&0&1&0&1_y \\ 2&83carf\&41carf\-&83carf\-&41carf\&1&0&0&2_y $$}yarra{dne\ ÌԠ Ԡѻѽվѽϧ ϠѽϽԠϽâààվϽѽ ҠѠվϠàľҠ ҠϽϢҠ֠ ԠҠѠϠ ҠľϽϠվѽϐѠ ֠ľϽѽܠҠ ѽѠϠàѠѠ֠ԠҠѽѠҠ ҠѠѽվѽѠà ľѠѽѠ¾Ѡ ҠààϢ $erofereht\$ѠѻϠԠàϽ: վѽվϽܠ ѽѠϠ$j_C-j_Z=j atleD\;j llarof\$ ѠξǠ$r_)B_X($ $$}\0i_}tsa\{^)B_X(;\;;\i llarof\$ϠѠѽξѠ Ҡ$}tsa\{^i_)B_X($Ϡ󠑲àѽϽ Ⱦ Ϡ: ѠվҠվϠѠϠàѠ ϠϢ ѠѠѽѠѠ$j atleD\$àϋܠ ѽѠϐϠԠľ ̾ϢѠàѠàà$i_}tsa\{^)B_X($ѠѠ Ϣ ѠѠԠѽѠϠʾѠ$}jr{_a$ àѠϐվϽѽËàѠ վϽѽϠϠѠѠѠ Ϣ ѠξǠѽѠϠѽξϢ ƾҠ֠ԠվѠѽ: }*ngila{nigeb\ 3_x-2_x3-1_x2-=&z:xaM\ \\ }rrr{}yarra{nigeb\{\tfel\&t dc\s 3qeg\3_x2+&2_x+&1_x2 \\ 4qeg\3_x+&2_x2+&1_x3 \\ 0qeg\3_x,&2_x,&1_x .thgir\}yarra{dne\ }*ngila{dne\ }r{}yarra{nigeb\{\tfel\$$ 3-=1_s+3_x2-2_x-1_x2- \\ 4-=2_s+3_x-2_x2-1_x3- \\ 0qeg\2_x,1_s,3_x,2_x,1_x $$.thgir\}yarra{dne\ $)tsa\($ҠѽѠҠ$}4{}11{carf\-;\xam\$Ҡ Ѡ }c|ccccc|c|r{}yarra{nigeb\$$ i_}tsa\{^)B_X(&2_s&1_s&3_x&2_x&worrapu\1_x&z&B_X \\ enilh\ )tsa\(dauq\0&0&0&1&3&2&1&z \\ enilh\ 3-&0&1&2-&1-&2-&0&1_s \\ 4-&1&0&1-&2-&3-&0&2_s worratfel\ $$}yarra{dne\ Ϡ$0i_}tsa\{^)B_X($Ϡнâ ̾Ѡվ$PL$ ÌҠ վѠѽѠѠ }*ngila{nigeb\ &xT^c nim\ \\ b=&xA;\;\t dc\s \\ 0qeg\&x }*ngila{dne\ Ⱦ$}n semit\m{^R ni\A;\,;\m^R ni\b;\,;\n^R ni\x,c$ $F$ѽàѠѠѠ: $$}\0>x,b=xA:x{\=F$$ Ѡ$F$ϢѠàѠ Ͻàϧ࠽ҠȾ Ϡàà Ì֠ѽվ ֠ѽϽѠàѽç ֠Ϡ$x$ѽܠ$bk dauq\FI& \\ i_b>xi_T^a taht niartsnoc yna dnif dauq\ESLE;\& \\ }i_ak_M{carf\-k_x=}1+k{_x&dauq\TEL }}i_ak_Mi_T^a{trqs\)1+n({ \\ }1-2^n{}2^n{carf\=}1+k{_M&dauq\TEL }T^)i_ak_M()i_ak_M(semit\2{carf\-k_M(tfel\ )thgir\}i_ak_Mi_T^a{ }*ngila{dne\ ׾ϽϠѠ$k_x$$k_M$Ҡ꠽ξϧ ϽѠԠҠ$2^)1+n(semit\6$ѽѠ¾ϧѠ̾ $}1+k{_x$$)2^n+nm(O$̾$}1+k{_M$Ҡ$k_M$$)2^n(O$Ҡ Ͻϧѽ̾֠Ҡ$)4^n+3^nm(O$ϠϢ Ì֠ы ѠѽѠ젽ϠҠ$)n(O$ѽѽ վѽϽϢàѽ֠à ѠçѽȾϠ֠ѽàϢ վ$PL$ϠϠϽϠƾ:վ ϠѠϢ }*ngila{nigeb\ &xT^c dauq\nim\ \\ 0=&xA dauq\t dc\s \\ 1=&xT^a \\ 0qeg\&x }*ngila{dne\ ܠѠܠϠâѽվѽà ѠҠ: }*ngila{nigeb\ &xT^c dauq\nim\ \\ b=&xA dauq\t dc\s \\ 0qeg\&x }*ngila{dne\ Ⱦ$}n semit\m{^R ni\A;\,;\m^R ni\b;\,;\n^R ni\x,c$ վѠѽѠѠϢ }*ngila{nigeb\ xT^c&dauq\nim\ \\ 0=xb-xA&dauq\t dc\s \\ 1=n_x& \\ 0qeg\n_x,x }*ngila{dne\ ƾƾվ$PL$ϠϠϽѠվվѠ ϢѠϽѠվ$ateht\$ϠѠľ վѠ$ateht\-xc=z$ܠҠѽѠϠϧѠѠà ϽϠտҠѽâϠҠľѽܠѠ à֠ѠȾϠѠѠϽȾ$k_x$ $ne carf\$ѠվϢѠà $T^)1,stodc\,1(=e$ԌѽݾѠѽ ѽϠϽϠѽϋԠҠ à֠ϽѠľѠàϢ Ì֠ԠԆѽԠѠվ Ѡľ֠Ԡѽѽվ ѠϠϽѽѽѽƾàϽѠ $b$ѠľԠϢ֠ԠǠ $j_c-j_z$ѠľϢѽվ ϽѽѽϽѽѽǠѽϧ ϠҠϠľǠàѠ ̾àѠϠϢ ֠ԠѠվàҠ ѽվѠϠվϽѽѽ ϽѽѽǠѠϐѠ֠ ܠҎԌѽݾѠѽϠ: ,smelborP gnimmargorP raenil gnivlos rof dohtem ssorc-ssirc,eht,stnoiZ$ $.9691 554 624 51,ecnics tnemeganam ϠϧҠà¾Ԍ$noitareti lamirP$ à¾ǠԌ$snoitareti lauD$Ͻľ Ѡàϐ̾ϢѠҠà ¾ǧѽ̾ϠҠȾϠܠ Ҡà¾ϠѠѽǠϠҠ ȾϠҠà¾ǧѽϠҠѠ ǠѠϠѠà ѽ̾â ѽҠ֠ԠѠվϠàѠ: ѠľԠҠԠϠѠϢàپѠ̾àѠ ֠ԠϽϠܠ¾Ѡ ľԠѠϠѠѽѠàϢ à$qeg\$$qel\$ϢààѠ վѽϠѿѠѠվ ԠѽϠѠľԠϠϢ ѽàҠϠҼ ¾ѠѽѠϢ Ѡà$r$ѠàϧѽҠ ¾ϠàѠѽѽàϢ 蟠$r_b$ϠϢѠѠçѽѠ$1-$ѿ ѠξѽϠ¾àϠ$0>}jr{_y$Ԍ տàѠàѽ$0>}jr{_y$$0}jr{_y$ $0qeg\j_c$ѽ¾ξϠà$}}jr{_y{}j_c{carf\$ ѽϢ ǟѠ$0>r_b$ѽϠ$0<}jr{_y$ѽ ѽϠϽϢ ϟϠҠξѠ¾ϠѧϽѠѽҠ ϠѠľվѠȾϠƾŠ ѽϐ ѽϠѠç֠ϠҠҠ ϠҠ۾ϐԠѠȾ ϠѽѠϠҠ ϠϠҠѽà֠ ϠѠàϠѽѠϠÐ ϠѠàҠϽà¾Ѡ ľ¾àϢ ѠѠ$k$ϠѠàϧѽ Ѡ¾ϠàѠѽϠѽѠϽ: 蟠ѠѠľϠѠϠ$)0qeg\k_c($ ѠѠçѽ$k$ѽѠ$1-$ѿ àѽààܠѠѠǠϠϐ ѽϽ֠ѠȾѠϠҠ ҠϠѠѠàϠ $)0>}ki{_y($ԌտàѠàѽ$0>}ki{_y$$0}ki{_y$$0qeg\b$ Ϡà$}}ki{_y{}i_b{carf\$ѽϠѠѠçà ξàѽҠѠϠϐ ǟѠ$0>k_c$ѽѠϠѠà$k$Ѡ Ϡ$0<}ki{_y($ѽѽϠϠϽâ ϠҠľԠѽ¾ԠǠ ϽϽϠľѠàϐѽ ̾Ϣ¾Ϡ֠Ԡ ѽҠľԠàϠϽҠ ѠϽѠ$b$à$j_c-j_z$ѽѠ¾à Ѡ֐ԠҠľ¾ξѠ֧ ѽľѽϢ¾ǧϠϠ ֠ԠǠѽҠľԠľϠ ϽҠѠϽѠ$b$$j_c-j_z$ѽѠ ¾Ѡ֐ԠҠྠǠξѠ֧ѽľԠѽѠϠϢ àѠѠҠ¾ǧҽѠ ξѽ̾ѽǐϠϠѠ ֠̾ҠѽܠѠàѠàǠϠ ϽϐѽľԠѽϠϠѠ֠ ̾ҠѽܠѠѽѠ蠽ξϠϽϐѠàҠ ѠξѽϠ¾ѠѠàѠѽ ѽϠ¾ξѠàξ࠽ ѽѽѠľϽϢѠѽѠ࠽¾ 񬠽ϠѠѽѽϠ¾ ξϐϠѽҠѠ񬠽ǐ֠ ϢϢϠϽâ ѠϽ֠ԠѠàѽѽ ҠϠϠҠ֠Ԡѽà ϽϢѠààѽǠѽ ҠϠϠҠ֠ԠǠԠ Ϣ ʾà֠ԠѠվàѠѽϢ ѽʾàѽϠҠ۾ϠѠ â ѽь3-11 ˌ Ìы ҠàϠҠàҠҠ ¾Ϣ֠ϠѠàҠ ѠȾϠҠ Ϣ ѠϽѠ$b$ϣ Ѡ$j_c-j_z$ϣ à̾Ҡѽܠ֠ԠѽѠѠϠҠľ Ѡ$b$$j_z-j_c$ѽѠѠçѠ֠àϐ ѽь3-21 ˌ Ìы ѽ¾ѽà̾Ҡѽܠ֠Ԡ àϣ ϠҠξѠ֧¾ѽѽѽľԠȾ Ϣ $0=S dc\U$Ͻà࠽¾ûҠâ à̾Ҡѽܠ֠ԠǠѽѠѠϠҠľ ԠѠ$b$$j_c-j_z$ѽѠѠ֠ ϐ ѽҠ¾ѽà̾Ҡѽܠ֠Ԡǐ ϣ ǠѽѽѽľԠȾϢ ѽϠ$0=S dc\U$࠽ûҠâ ѽь3-31 ˌ Ìы ҠѽҠ¾ľľԠѽ ϣѠѠľѠϠϽϧ ҠàààѽϠϽϢ ƾà$)b-($ѽǠҠ¾ѠѠ ϣ ֠Ѡ젽֠Ѡ젽¾Ԡã $1=S dc\U$ã $1=S dc\U$à֠ѽ¾Ǡà Ⱦâ ѽь3-41 ˌ Ìы Ҡѽ¾ľľԠѽ àãѠϠϽϧҠà Ϣ ¾֠$j_c-j_z$ѽϠ¾ѠѠ ϣ ֠Ѡ젽¾Ǡãľ $1=S dc\U$ã ֠Ѡ젽¾àȾâ ѽь3-51 ˌ ƾ }lrrl{}yarra{nigeb\$$ &2_x3-&1_x&=z xam\ \\ : &&& \\ 1qel\&2_x-&1_x& \\ 4qel\&2_x+&1_x& \\ 3qeg\&2_x3+&1_x& \\ 5qeg\&2_x+&1_x3& \\ 0qeg\&2_x,&1_x& $$}yarra{dne\ ѽҠ֠ԠϽ: }lrrl{}yarra{nigeb\$$ &2_x3-&1_x&=z xam\ \\ : &&& \\ 1qel\&2_x-&1_x& \\ 4qel\&2_x+&1_x& \\ 3-qel\&2_x3-&1_x-& \\ 5-qel\&2_x-&1_x3-& \\ 0qeg\&2_x,&1_x& $$}yarra{dne\ Ϡ$)i_s($Ͻ: }lrrrl{}yarra{nigeb\$$ &&2_x3-&1_x&=z xam\ \\ : &&&& \\ 1=&1_s+&2_x-&1_x& \\ 4=&2_s+&2_x+&1_x& \\ 3-=&3_s+&2_x3-&1_x-& \\ 5-=&4_s+&2_x-&1_x3-& \\ }0qeg\4_s,3_s,2_s,1_s,2_x,1_x{}c{}4{nmulocitlum\ $$}yarra{dne\ ľԠ֠ѽѠϠ: }c|cc|c{}yarra{nigeb\$$ &2_x&1_x& \\ enilh\ 0&3&1-&z \\ enilh\ 1&1-&1&1_s \\ 4&1&1&2_s \\ 3-&3-&1-&3_s \\ 5-&1-&3-&4_s $$}yarra{dne\ ϠľѽѽϠѠҠϽѠ $b$ÐѽϠ֠Ѡ젽¾Ǡ ѠϽѠ$b$ѠľϠ$5-$ϠѠ$2_x$ ϠȾ$4_s$ϠѠ֠Ϡ$1-$ÐѽѠѠ : }c|cc|c{}yarra{nigeb\$$ &4_s&1_x& \\ enilh\ 51-&3&01-&z \\ enilh\ 6&1-&4&1_s \\ 1-&1&2-&2_s \\ 21&3-&8&3_s \\ 5&1-&3&2_x $$}yarra{dne\ ѽҠľľ: Ѡ֠ľϠѽվѠѠ Ϡ̾ѠѠѽѠѠ֠ѠϠ$1-$ѿ̾ѽ ľ󢠽àнѠϢ ľѽǠѽѽϧҠϠ֠ Ѡ젽¾ ѽ¾$1_x$ϠȾ$3_s$Ϡ ѽѠľϠ: }c|cc|c{}yarra{nigeb\$$ &}4_s{}worranwod\{tesrevo\&3_s& \\ enilh\ 0&43carf\-&45carf\&z \\ enilh\ 0&21carf\&21carf\-&1_s \\ 2&41carf\&41carf\&2_s \\ 23carf\&83carf\-&81carf\&1_x \\ 21carf\&81carf\&83carf\-&2_x $$}yarra{dne\ ľѽѽ׾ϧҠѽ ϠҠ¾ѽ ¾Ѡľ$4_s$ϠȾ$1_s$ϢѽѠľ ϠϢ }c|cc|c{}yarra{nigeb\$$ &1_s&3_s& \\ enilh\ 0&23carf\&21carf\&z \\ enilh\ 0&2&1-&4_s \\ 2&21carf\-&21carf\&2_s \\ 23carf\&43carf\&41carf\-&1_x \\ 21carf\&41carf\-&41carf\-&2_x $$}yarra{dne\ ѽѽѠľҠѠǠѠ ѽѽѽϠȾààѽ ҽ$23carf\=1_x$$21carf\=2_x$ѽѠѠâ̾ޠ àѽϠѽվԠѽϽվѠϐ ƾ }lcccl{}yarra{nigeb\$$ &3_x+&2_x+&1_x3&=z xam\ \\ : &&&& \\ 6qel\&&2_x+&1_x& \\ 4qeg\&3_x+&2_x-&1_x& \\ 1qeg\&3_x&&& \\ 8=&3_x+&2_x+&1_x& \\ 0qeg\&3_x,&2_x,&1_x& $$}yarra{dne\ ƾѽҠ֠ԠǠѠϢ ѽ֠ԠϠˠѽѠà ààϠҠѽ¾Ϣ$2_x$ѽ ѽ¾ξ֠$)3_x-1_x-8=2_x($ѽѠ ȾϽ: }lcccl{}yarra{nigeb\$$ &&8+&1_x2&=z xam\ \\ : &&&& \\ 2-qel\&3_x-&&& \\ 6qeg\&3_x+&&1_x& \\ 1qeg\&3_x&&& \\ 8=&3_x+&2_x+&1_x& \\ 0qeg\&3_x,&2_x,&1_x& $$}yarra{dne\ ϠҠ۾ϧϽ: }lccccl{}yarra{nigeb\$$ &&&8+&1_x2&=z xam\ \\ : &&&&& \\ 2-=&1_s+&3_x-&&& \\ 6-=&2_s+&3_x-&&1_x-& \\ 8=&&3_x+&2_x+&1_x& \\ 1-=&3_s+&3_x-&&& $$}yarra{dne\ ľԠ֠ѽѽѠ: }c|cc|c{}yarra{nigeb\$$ &3_x&1_x& \\ enilh\ 8&0&2-&z \\ enilh\ 2-&1-&0&1_s \\ 6-&1-&1-&2_s \\ 1-&1-&0&3_s \\ 8&1&1&2_x $$}yarra{dne\ ľѽ׾ϧҠϠ֠Ѡ젽 ¾ǠϢ ѽ¾ǧѠϽѠ$b$Ϡ$6-$ç$3_x$ ϠȾ$2_s$ϢàľϠ: }c|cc|c{}yarra{nigeb\$$ &2_s&1_x& \\ enilh\ 8&0&2-&z \\ enilh\ 4&1-&1&1_s \\ 6&1-&1&3_x \\ 5&1-&1&3_s \\ 2&1&0&2_x $$}yarra{dne\ ľѽѽϧҠ ¾ϠϢ Ѡ$1_x$ϠȾ$1_s$ϢѽѠľ Ϣ }c|cc|c{}yarra{nigeb\$$ &2_s&1_s& \\ enilh\ 61&2-&2&z \\ enilh\ 4&1-&1&1_x \\ 2&0&1-&3_x \\ 1&0&1-&3_s \\ 2&1&0&2_x $$}yarra{dne\ Ѡľ$2_s$ϠȾ$2_x$ϠҠ¾ ÐѽѠѠϠ: }c|cc|c{}yarra{nigeb\$$ &2_x&1_s& \\ enilh\ 02&2&2&z \\ enilh\ 6&1&1&1_x \\ 2&0&1-&3_x \\ 1&0&1-&3_s \\ 2&1&0&2_s $$}yarra{dne\ Ҡ֠ԠǠà¾ˠ ϽϧѠȾҠ֠ܠ¾ àϠà֠$2_s$ѠȾҠԠ Ǡ̾ϠàâϽàϠѠȾϠҠ Ⱦ$2_x$ѠϠàϢѠѠ àҠ$4qeg\3_x+2_x-1_x$Ϡҽ$6=1_x$$2=3_x$ $0=2_x$ҽϠàѽàѽѠϠÐ ѠȾѽվԠ۾ľ񬠽àϧϠѠϠ֠ Ԡ ¾𠱋 ѠѠѠҠ¾ѽϠѽà Ѡ̾ϧѽѽǠϠ ϠϽàѠѽ̾Ϣ̾à͠ ϠѠѠξѽϠ¾֠ $0