Sym metry comma, I n1 tegra 2 comma b i l i 2ty 2a pa nd Geometry ges : Methods a nd App l i ca t i ons S I GMA 7 ( ), 1 2, 2 2 pa ges

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1 ym my I g y Gmy App I GA 7 ym my I g y Gmy App ym my I g y p Gmy g App I GA 7 p g p p C w p C yp C w Dg u w - Dg u - gm O w g E g G FILALI gg gm k IAIE gg O w g gg E Uv u- Cgy yp gm P LP O U 889 u C w g qu vg FILALI Ap Cuv k IAIE 953 Cgy yp P F E yp Uv m G FILALI gé Cgy gg - P u yp LP gy U k889 u IAIE C gg gg Uv v u- Ap ugg Cuv Iu 953 Cgy -u - P mqu F ugg U 558 u C 9 v A gg vy Eyp - m U vg P u u - 78 Dj Cgy P F LP U 889 u E yp Uv m é kugg Iu u ypé mqu u gg ugg U 558 u v C O v 8 Ap Cuv m Juy 953 Cgy P Pu F Juy 7 m 93 8v A I G vy A - P Dj F A E E -m I m pp w gk w p u -pm gg u u gy v g O 8 p w m p Juy uy mg Pu mpu Juy yp7 p gg u gm U v3 8 / Iu yp G A yp ugg I O u m mqu ga ugg m Iw uy pp U w558 u w C p W w vy pm w pm u ug g gug m p w p yp uy vx mg yp m mpu - v ug 9 v m ym p A u vy g gm P O Dj m F w y w g g m w uy p Wym w wg pm O m m E ug m uj C gug m 8 k - 8 vx 3- u u gg Iu v ug m ym g I-w-v v y w v-kg- O g p g- g--g ym m E- Juy - g - O m Pu -k - y- - J p- - -g -p m - uj C - -w- -8 -y 8 3 qu k qu g Iu ym I pu 3 8 / I G pp A p m u g I w quum v vkg p w x uy mg g g p ge x y k p A [ g uy I m pp w w G p g vy mwk pm g quumym v I pu pp p m u g g m g quum wk p w w yp x p puy uy mg mg p wmmy x mx mmug m w m g g uy m Hwv p G u v g mwk g mp m m p quum u O m uv g u I g mp m m g wk g m w uy - p uy mg W w w w pm u quumw p mmy wmx yp m mmug m m m w p w v ug m ug g gug mx Hwv x m yp vx v m vx w mp m w g puy um u w v ug g mx u x yp vx m w g I mp v ug m m ym g g w quv w quum w yp p m m w - m m m u um -w - y kg- w -- g - - mpu p ym u I w w g V p qu p kw v ug mx x - vx m w w p g u uy m x yp m uj vx w v m C w ug m w uy 8 mx 8 x 3 - vx m DWC p w ky m g uy u m p - -u quv kg- I w u w -p - m m - - u- - -m - - -u -uu u- -- y- w A- kg - I g - - -k mpu - u u---v Iwv ---g I w w v V -kg-- p k g[ g m g g g g qu E ˆ k p u y x - vx m w m p w ˆ uy g p ˆ DWC g w ky pp m y u [ uy Pg u [ I Wkp m qu p - -g-p u kg - p - Av I - u - u -w -w y m upu - y m- A - qug I - -j g u-- ym - - u- - I - - p - u -I -G - A- pp - - p m Q- v -I - g k - - u quum - - m p v w x g uy kg mg p g m g [ g uy m G g mwk g m wk p uy mg w mmy mx mmug m w m g pp u Hwv Pg I v Wkp Av mp Quum I u w w g u gp y mm ju u I v I w m I mp m g w quum p w m m m p X p w v ug mx x vx m w w g uy m w v ug mx x vx m w g q u v w w m m m u u w k g mpu

2 G F F w vkg p p yp pg p u w mpu [ w gkg w u mpu pu m v [ uy u p w x uy mg p x x v kg[ A w m v u g p w y uy mg m mp v uy ym w p m ppy uu qu - g [ my g pp xmp u uy u - - quum ym u ymm mp xu p AEP u p m w pm w w u uu qu u v x kg x ym[ kg g g g vp [ - vx - m w g uy m p gm - - O m w g O g m w m ug m g uu w ym Yg x g pv m v O m [ 8 kg I p u w u m p u p u O m w D w wkg W U C[ u y u p p w g m x vx u u y u mpu u I pp w p w p w - g uy m gm O m ym wy I p u pp w u v wg u g w gv m mp pu [ w yp O g Fy w O m w g w u g mwk mpu p u yp m w m uv y g gg u u pp [ u u p u w g m m m pp gm O m w g p w - p uy mg mp mp wy w g uu w u uu mpu u m I mp pp y uy I wk y pm y uy I m uy y v w uy pm u H w p w w uy m kg g muuy vx - m I qu w [ w kg W w u k y u y [ m mp g u u mp w p w g w k pg u w mp j u [ w w p p v w g qu u m v w I g m w vkg w u p w - g uy m Fwg [ vx yp u w mmy mx w my mmug m W w w Hm m m I -

3 G F G F w u v x - m w F-w -v ukg-- y m - -m - p- - vx -p - yp - - mmy - -ypm pg p w [ mpu u 3m p Oqu yp k j yg ym - Yg x g -w -g W u kg- w - u - w-wmmy u m mpu w pu u y m ym v k u ym I w u g Fw v k g p u uy g u p p w w g x uy mg m Fy yp pg p u w mpu [ p w - u-x-x w --v g -kg mpu qu k p u A w w g k g w u mpu O m m w vg u m w g uy p wm y uy mg uy m mp u v p uy w ym x uy mg w-p p ---- x -- x m- v ppy k g uu [ yp g qu k A w m my g v pp u xmp g u uy u yp p yp w quum y uy ym mg u ymm m mp mp xu p v AEP uy y wp u ˆ m p m my w pm g w p p w u xmp uu qu u u uy u q u ym v- x-- u -kg - ymm x ym mp qu k x u p A p -- m - -kg w pm - w g- w u uu - - g- q u - u -g m- q- -u- - - vp qu k g g yp vx yp m w g uy m v x k g x ym [ p g gm yp yp O m w g O g m w m ug k g m g uu g ˆ - w-- ym g Yg x g g pv m v O m q 8 -- m -kg- q ˆ u I p vp - u [ - w u - m p u - p - O m vx w - m w g uy m D-w-w kg---w U-C qu k u -y - u p p p w - - g - m O m w g g m m x vx w m u u ug y m u g u u mpu u I pp w w p w ym p Yg w x yp g g pv m uy 8 m gm O m k g ym wy I I p u p pp u -w-- w u - -u -v - m - p u w-g u p g w gv u m mp p qu k w Dww yp O k g g Fy W w UC [ O m w u g w u g mwk u mpu p u p p yp w - - -m - - w m- - - u- --v y- -g - gg pp g qu m k x v x u u y u mpu u u p u u w g m m m pp gm O m w g I p pp w w yp p uy p mg w mp mp p wy w g uy w g m uu g w m O u m uu y mpu m wy I p u p u w m u v wg u w I yp mp O g F y w pp y O uy m w w u I wk y g pm mwk y mpu uy p u I m yp uy y v p m w uy w pm m u y u g H g w g p u w w u uy pp m [ - u - u kg- g p muuy u vx yp w m g m I qu w qu k w- m - m kg- pp - -W w- - u- g -- m - -k O y- m - w - u- - - g p - - w y- p qu uy k mg m mp mp wy mp w g g u u w u u u u u mpu mp u w-p w- m g - -w - - k- --pg u w j u qu k I -w w- -p mp - p- -v - -w - - g- -q u u- -m - - w- -- I wk I- y pm -g y uy I m-w-v u y kg- y -w v u- w - p uy w yp pm g uy Fwg u qu k H w p w w uy m qu vx yp qug k g u w g mmy m mx u w u y my vx mmug m W w w Hm m m I yp - w- w u v x yp k g m - w - W w - u u - k y u m vx yp mmy m y [ qu O m yp qug j yg y mp Yg x g g W u u w u w mmy m u w mp -u wp y ym w u ym g ˆ I w w k u g p u g g u p w w mp g j uy u [ m Fy w u w g mpu p

4 p C w yp Dg u 3 p C w Dg u 3 p C w - Dg u 3 g w w ym [ u 3m g p gv App p w g uy W g p w m g yp g uy m w w Lym L H um g pg gm x gm x gm w y gm g y gv ypp App gm gm p L 3 p g gvw App g uy W yp v yp p w yp m g kg - g uy m gm u gm p x u gm w y kgg g uy Equ yp v yp yp W H kg σ p x σ x w m g g uy m σ y σy ypp ησ σ ypp gm yp u gm x ypp [ g g u gm y kgg H Hm um gm ˆ x gm ˆ x gm ˆ y H gm η p H m H m H m km C ζ δ w uy mg [ ˆ ζ δσ τσ gm ˆ x τσ y g η x pm u v u -v Hm ζ δ [ ug ζ Quum δσ τσ x τσ y Iv g QI p qu k [ -w -v Hm gm m- - ˆ - - -p- H p g- H u - - mh gm - m H m -m ˆ C x y - w uy - - Y- mg -u- u g- - y- -v q- -u k- u u x yp vx gm yp mx g g ky m QI quum x pm yp δ mx δ ζ ζ τ C -wg τ ˆ u 3m p E V V ˆ u 3m p V km v C Hm ug Quum Iv g [ yg ˆ u 3m p ˆ u 3m p gm ˆ QI [ Yg w vm x qu ˆ u 3m p p g u gm ˆ x m y Y ug ˆ u 3m y p gm ˆ y qu k u u x - vx gm 3 mx m 3 g g ky m 3 QI quum mx C3 E V V V C3 p yg Yg 3 x qu 3 3 u p Hm H p H m ˆ m H H m m g p x yp vx yp mx Cλˆ λ 3 λ λ 3 3 λ w λ 3 uy 3 λ mg λ 3 3 λ λ 3 λ λ w yp yp u yp p g w 3 yp p yp x - vx w mx yp [ u 3m p u 3m p yp mx ymm λ my η P P w P pmu p V V λ wg mp λ η u x pm η λ L u v u yp P λ η L u uy mx ymm my P mu v Hm P ug w P pmu Quum I v I g p p w v m p ˆ g m V V wg mp L u Z ymmy Y L gm u g y gm y y v m k gm y gm u y u u x vx g ymmy g m mx ηp Equ 3 uy gm y p ky m QI gm y quum mx C ggw V m V V m Cλ ˆ λ λ η λ η I y g Yg x qu Z ymmy [ σ y σ y λσy σ y λ g ymmy 3 σy λ ησy λ 3 u p g p x vx m [ g y & & & & & & & & & y g p mx ymm my P P w P pmu p V m V w g mp

5 G F G F G F H P P mx p p [ pu u 3m p gm x y uu Pu m uk mmy mx E V H P mgu P ym mx p p yp H pu σ u xy uu P Pu m P q pu uk mmy gm mx x Equ λ y E V H uu mgu Pu m ym u - u x m m m x p I uk mmy xp mx m yp mx E E V V H m m x mgu x ym λ λ ξ xλ ξ y u mpx pm mgy pm I g xp m mx E V H m ξ ξ ξ g I y g w Yg x g y mpx pm mgy pm x g x g g I y w Yg x g mmy mx u u g -v -kg- I x p λ -F λ λ qu λ k λ m λ p λ λ m mp mx - E m u H mmy m mx x u x u g x w-h v--kg -m v kg vuy F [ v p m qu m k kg mp u u y mpx qu pm uy mgy u mux pm w mx Hvw kg y m L g u- w-q- vuy v kg-u-v m [ - qu k L p kg u u qu uy I y w Yg ± mx w y p x g p [ u w q kguv [ 5 u λ λ λ λ λ λ λ λ 5 L u pw p mmy mx u u λ λ λ v k g η λ λ λ F [ η λ λ p L m w u wg u wh w u v wg k g m λ v u y v m λ λ λ λ λ W kg -W- kg- m g u mg u qu [ qu qu k p L kg u u quv q u uy p u L pp-px-px-px-p λ λ δ ζ τ ypp p [ g g u wq ˆ k ypp g u v [ p v yp m yp p ˆ δ ζλ δ ζ λ δ λ λ ζ ζλ δζ τ λ λ δ yp δλ λζ ˆ u 3m λ δ λ λ ζ p yp τ δλ λζ yp m 5 g yp m ypp p λ λ η δ ζ τ mp mgu p g u ypp v yp uy yp u u w mmy mx v yp p yp pg-pgx-p pgx-pgp [ g g L U 3 λ λ λ A λ λ λ ˆ [ u 3m p C λ D λ ˆ m quvy u u ˆ mp mgu p g uy u u w mmy mx ˆ U U λ m u 3m p g λ λ A λ C λ λ [ λ D λ - w w w w w A pgpg u p u ym w y C m p y D qu k w u qu k w g quvy λ λ ξ u λ ξ γλσ y W U k g m λ g ησy γλ λ u qu [ w m p [ g g -w quv p w u A C w u γλ D γλ γλ λ ξ ˆ η λ ξ η qu k qu ˆ ˆ w-w-w-- w-- pg-pg- ˆ u ˆ u 3m - - p - - -u ˆ u- g- - y- -m y-m -p y -w ˆ ˆ quv x p ˆ m u m ˆ v x gmm ˆ p y gm

6 p C w yp Dg u 5 p C w Dg u 5 p C w - Dg u 5 u w mmy mx g [ L u 3m L p U p u w mmy mx g U p u w mmy mx g U p [ g p g g λ u U 3m λ u p u λ U mmy λ u 3m U mx λ p λ U λ λ L U p g U u u mmy pg mx U p U pg U U λ U pgg p λ λ ηu g λ pg U pgg U λ λ ηu λ λ pg U p mx λ E H u m u w mmy m mx p g u u mmy E H mx u m u w m [ Equ g g 6 U ˆ ˆ u λ 3m p λu λ U λu λ 6 U m g pg p pgg H U ˆ k v uxy p pg V w U I kg w pgg u 3m w ky gg [ m Ummu ˆ y vu p pm H k v uxy p V g -w I-kg -w w ky qu k m mmu y vu [p λ pm µ mx E H u m Iqu mgu k m ξ m m m Hm mu p quw k pg w m g I g mgu g m x m m u wy g p v v Hm p w- - --pg w - -w- - m- x- pg - - g- mx w y- - g ˆ m U ˆ p-v v L w- - -x pg- H mx L g H v 6 g λ λv λ 7 v 7 w w H 8 8 k δ v δ u xη y ζ p V ζ η w I k w pu pm w u ky mmug my [ v g p Hwv pu m pm mmu u y mmug vu my p v g pm Hwv u u g g mwk mwk g g [ [ g gk w g p A mux mu D mux C mux w g p A ± D ± p C C ± mux g gk A mux p I mgu g gk m mux x m g gk D m mux m g Hm gk C ± λ mux A ± λ p g ± gk D ± λ ± Evy w p p w g g uy m w mg w m p Evy up w u p pp w u g u p uy w m mg p mp w y w g v p p up k v w u XYZ pp p v u p w p mp v k w XYZ p p w 8 yp vx m p p m I g Hm gug [ m g p 8 g - w vx w m mp uyg p p vx m x m pg O m w p I mx g H -w Hm x-u kg- I- gug y- -F m -u - - w - - mp -v uyg --v - - vx -- v m k O qu m k X X w Z 7 p u -k Hm w g xu kg I y F u v v k jp [ X X - Z u k Hm v v U U ymmy uy ymmy m k uy u m uk xg u u x u u gug m w gug m vx - w O m w g w uy vx m yp g w O m w g uy m g 3 Vx 3 Vx yp - m m 8 ˆ u 3m p u u gug gug m m g g Hm ˆ u 3m Hm w yp p w g - g kg - kg-- -u - - u y mm w g - --y - m-m - -w - - g- pp p m- p - m - qu pu [ v x - k v pm x yp - - m u yp kg mmugmy Hv g p -m- p w m kg- - -H - - pu - - p- m k - p- - - w- - - m- p-u - u - - m-k m u - m g - xp - m u mwk g g m xp u g m g w g p A pm D pm p C pm [ C pm m g A pm g pm m g D pm m pm m g

7 6 G F 6 G F 6 G F 3 Dym Yg x g [ W u u 3m wg p gug m quv m 3 Dym Yg x pgg g p W u 3 mg wg Dym Yg gug m x g pggg mx W w u mp λ pp θ w λ g θ ω λ/ gug λ θω λ m θω u Imx g uy w mp mx pp [ quv mg I g uy mx / ˆ ˆ ˆ mg λ u ˆ m m mg u λ λ δ ζ τ λλ δ ζ τ w g mx w gquv mx λ mx w mp p p u u u λ Iλ δ ζ g λ δ ζ τuy λλ δmx ζ τ Equ 3 pp-px-px-p yp v yp δ λ ζ λ yp v δ λ yp ζ λ 3 pg-pgx-pgx-pgp [ ˆ u I vx yp I m vx - m my my u Equ 3 w λ g λ θ mx λ θ ησ λ θ λ θ ησ λ θ 3 p g g w gm w u ym mx m w w u ym quv yp mx Equ yp m λθη u ηθλ pg-p pgx-pgx-pgx-pgx-pgp λ θ λ u η η θθλ λ θ θη 3 3 pp-px-px-px-px-px-p θ θ λ η 33 yp g 3 m u mppg vx gu yp yp g - w kgg v yp yp yp u u [ m pg x u p I v vx yp wg gm yp m my O m yp I vy w u j v gg yp F ym Y g yp kg yp p v yp I g g m g Yg u x mppg q u vx Dgu YE yp -w kg- g -u u qu k yp -pg - - λ -x θ -p ησ 3 3 λ 3 θ 3 λ 3 - θgm ησ wg ˆ 3 λ 3 θ 3 λ 3 θ ησ λ θ gm gm ˆ O m wg pp I vyw w u w j gg u F qug u w ym m Y-g-kg g I -g -- - v-x g - y- k-m g my m Yg -x - q u- D YE I u gm 3 u w w 3 u ym 3 mx 3 3 [σ 3 3 p g 3 g σ λ θ gm m ymmy p x vx ˆ xu ˆ wg µν αβ u α β wg µ ν pp I y w w u u u ˆ m w m yp my m u I u ˆ p ˆ mx ˆ qu k gm [σ gm σ ˆ 3 3 λ θ m g qu k w ymmy p x vx xu µν αβ u α β µ ν wg p mu u u p mu m u I u y mppg u vx m g u L w p k yp g mx L g ˆ u qu k gm gm u m p g x p qu k w wg p mu u u g mu m u O m I vy w u j g g F Yg k g I g vx g ˆ y k m Yg q u D YE [ gm ˆ g gm ˆ

8 p C w yp Dg u 7 L p C w Dg u 7 p C L w u Uy - Dg u 7 [ g g u 3m p p u U y g Uy u Cg ymm g ym yp mx mp λ vx θ λ yp θ yp mx λ η λ w η w I Cg wg ymm mp m g Equ ym 3 mx mp gm y vx yp mx w gm w wg mp gm m I y yp u gm Cg ymm v g yp ym p Equ 3 5 gm p vσ y x yp mx w w w g mp λ η θ ησ σ y θ ησ λ θ gm 3 θ p y yp gm v yp σ y g g λ η θ ησ σ y θ ησ λ θ 35 θ W u w quv ym yp gm Wmx u ˆ y ymm ˆ w u wk quv ym gm u mx Py Equ ymm gm u ˆ y 3 wk 6 gm ˆ gm x y gm x g y 3 m ˆ gm x y gm x y gm m gm ˆ Py m w w g y u 3 5 ym λ θ σmmy xy σ xy λ mx θσ xy σ xy λ pu θ 36 ym g yp m Equ w w y3 u 7 ym mmy mx pu p W w u ym w m x w um q u gm v w 3 ym m m m mx x ymm u wk g g wg qu k gm p u Py λ θ λ ξ θ η σ λ ξ θ gm ˆ 37 qu k x y y I y w mmy mx ym Yg gm x ˆ x y gm y L g 3 6 λ g θ wg gm w w y u ym [ λ θ mmy σ mx gm pu ym I y L w m mmy mx ym Yg x w mp p um gm g g λ θ η λ θ λ θ ησ λ θ λ θ ησ λ θ w- -u -pg --y y - - m- v- - g - - m-x y y- mx uu um gm ˆ y g m w mp x p σ g 3 7 g x m w u pg y wg y m v m x my mx p x uu m gm [ w [ gm ˆ ˆ ξ θ λ θ x η λ θ λ λ θ ξ θ ησ x m m m w w x um gm w I y w mmy mx ym Yg x W u vx yp m p w u [ g u g w ym mmy mx w y u ym ˆ g U u ξ θ w mmy ξ mx θ ξ x θ η σ A vx gm u g ym x y p p g gm ym ˆ W quum gup u w vx u- m mp p g w ymm u p g u mp wmx ym p mmy v mx w y u ym g W um U u pp w wg mmy m mx g x gm A vx gum u w g w ym mp x y p ˆ p um p gm ˆ g mmu ym w quum gup wy w ug mp pm vv g [ ymm p mp mx p v w u p g y y ˆ m v mx m y mx m W um pp wg m g σ gum mx w mmu w wy g p vv [ x m x gm ˆ

9 8 G F 8 G F 8 G F mx vx yp m [ u 3m p m mx mx λ θ vx - m p mx m mx gm vx p m mx gm p λ λ θ λ θ ησ λ θ λ θ ησ λ θ [ w w wg wg ym ym Yg Yg x x qu qu gm ˆ 3 3 m gm 3 gm 3 p 3 8 λ θ3 3 λ 3 θ ησ 3 λ 3 θ 3 gm 3 3 λ 3 θ ησ 3 λ 3 3θ λ θ ησ 3 38 gm 3 w ww w u w u qu w g qug ym L p Yg L yp w p x w qu u ww u u u g ym u w g mmy u mx Uw mmy mx U g L g 3 3 gm ˆ L gm yp λ θ gm v yp 3 λ θ ησ θ ησ θ 3 3 gm ˆ 3 v v v v u m u L-w gm ˆ gm yp p gm g v yp D---- u-g-u pg w -y - -- m- - g- y-y m- m- g w x w p- u L p w w u D qu g u w mmy ugupgpg mx U w y m L yp p ym Yg x yp qu Lp ym Yg x ypgm qu 3 L 3 [ L ˆ 3 L 3 ˆ 3 gm ˆ gm λ θ ησ gm 3L L 3 m 3 λ 3 θl 3 λ 3 θ ησ L 3 λ 3 θl 3 λ 3 θ ησ λ θ L 3 3 I y v pp L p u uy I L y λ η v θl λ pp η θ Lλ yp η p λ η I u u uy L-w v v u m p [σ σ L λ θ [σ σ L λ θ p g g wl py I u ˆ ˆ qu k gm gm ˆ gm σx y gm L σxy D L λ θσxy σ xy L λ θ L λ u θ qu k qu k g gm u pg pg gm m L-w p g w ymm y ˆ ym mx m g yy p m qu g k g y m x p L p w u qu u mmy mx py g gm x y gm x y L p L p gm x ym y gm Yg x x yp y qu L-w V λ θ L λ ξ θ η σ L λ ξ θ 39 L m [ gm ˆ 3 L ˆ 3 m p g ymm 3 ym yp L ˆ mx 3 3 g gm Yg m ˆ x L yp p w Lmx u ˆ u w mmy 3 mx wg m 3 3 Equ 3 9 gm m λ L θ η V λ θv λ θ ησ V w λ θv w λ θ ησ λ θ x u O g w 3 p m m u m L gug m w mx x p vx mmy mx Yg I x y v mx p p w wg L m p u u ξ θ λ η θ η V λ θ λ λ η θ ξ θ ησ V wl ˆ ˆ V w gm V m V I gm u ξ θ ξ θ ξ θ η σ O g p u gug m w mx [ p [ gm vx ˆ mmy mx gm ˆ L ˆ [ gm ˆ x gm ˆ wl ˆ -w ˆ V λ θ σ y λ θσ y p w- x p y gm w [ gm x ˆ y gm x ˆ x y L ˆ x m m gm m m ˆ m x y w gm w ˆ x x y wl um gm ˆ

10 p C w yp Dg u 9 p C w Dg u 9 p C w - Dg u 9 3 Dym g [ w u w 3m p p w u u w mmy mx ky g yp g qu I y k g -m- - pg 3 Dym g w w 3 pdym w u g u w mmy mx ky y wg ym g - g qu I y k g w m w p pg w x y u wg u ym w mmy mx p θ δ ζ g qu I y k Equ g pg x y w g ym p g g λ θ λ λ θ λ -u - w y - - y -m - - qu u qu u k 3m yp p mx qu k y u λ λ v θ m λ vx λ θ qu 3 ug gug m u w y y m qu u [ mx Pp 3 vx yp qu w-p 5 3 quv O yp qu g k y u v m vx qu qu w O pm mg u p ug gug m U--w-- w-v- pg-pg- --g p w u Pp u3 vx w yp qu w p u 5 quv y mo yp L qu u [ mx p qu w O pm θ δ ζ ω τ w v qu pg pg k gp y u v w m vx ug gm gug m λ λ λ λ λ θ θ ησ λ θ λ L m m P p 3 vx λ θyp λ λ θ ησ qu λ θ wp m mu gm w u q u v O yp g m u m g gv u mu w qu u g w m O u pm g gv u λ mg λ λ λ u λ θ λ θ ησ λ λ θ L U w p λ w v λ θ m λ θ ησ pg pg λ θ g W pg w y m w gm q u p p ym u w mmy p [ g mx g L m m ˆ u 3m p gm gm ˆ U λ θ λ θ λ A λ θ λ θ λ θ [ 3 m -W- -- ˆ u pg- 3m p - C λ θ D - - λ θ y- -m w - q- w ˆ -u - p p ym gm ˆ u w mmy mx g Equ 3 U p λ θ λ ξ θ λ ξ θ η σ mu w u -w g m w g v A u m γλσ y w C λ η θ ησ σ y θ η γλ λ θ θ D p [ g g qu k qu k ˆ u 3m p m w ym g L -w quv gm ˆ m m m m ˆ u w 3m w p x λ θ η U λ θ λ θ η U λ θ um m w 3 L gmm gm y pw ˆ gm gm ˆ p ˆ y yp U λ θ λ θ η U λ g θ λ θ η 3 v yp u w mmy w-gmm mx p m m uy gm O m w g W w ym Wp g ˆ pg u p pp m w q ˆ u I y w vx - m gv w U p ym ym u w mmy mx uu p u w mmy mx U Equ 3 p g g ξ θ λ θ η U λ θ U λ ξ θ λ θ η 33 m U U p ˆ w g & C m u w & D mmy mx p m y g [ g uy gm O m w g W w u

11 G F G F G F 3 3 Du g [ I u vx 3m w p u w u w mmy m u mx u mx m pu p ym Du -u-v g pg-pg- - - p- y u mp I g 3 vx 3 w Du u w u g w mmy m u mx p mmy u mx w w mx u um mmy pu mx p V ym I v x w pg- u w u w mmy 9 m u mx W g w g u u u vpg mx pg m p pu y u u m mp g p p q ym mmy yp mx mx w w u u mmy u mx v pg pg y L u m mp v g pg pgg p mmy mx w w u u mmy mx V λpg 9 v pg pgg g g V ˆ W g w pg g L u pg λ 9 u qu pgg w ym g mx v pg pgg p W g w λ g v θ u λ λ η θ λ I xp m mx u ym mx L L λ λ η θ λ λ θ quv p I xp m [ g g mx v u ˆ p vx uy mx u 3m ym p u yp y v ˆ m ˆ λ λ δ ζ Vx λ yp η δ ζ m L -w u 3m u p v v vx v uy mx u ym ˆ u pw - y m w- Vx - m v v v u L ympm λ λ η u δ ζ τ p λ λ η w δ ζ pm τ m I xp m mx pvu g uy mx [ A g pvu g ym u w 3m pm u p θ wg u u 3m u w p p mmy u mx 3m w p pm u 3m θ p m U quv v V v g pg pgg V-w pvu u v p θ δ ζ vx g uy uy m mx mx p y A pvu w u m A wg u w Vx mmy mx v m D C m [ g g U v pggg qu k qu k λ ˆ θ V λ θ λ V λ θ θ θ A λ w ˆ λ θ D C λ [ λ θ w v v u 3m p u V-w w ˆ w v v quv w u 3m p u x v m m m L- u 3m p w g w x v um gm w-gmm V pg V pgg λ θ L λ ξ θ L λ ξ θ η σ γλv λ η θ v m ym qu pm y mpu ug u uy p w p m L m qu y mpu ug uy L p L gmm-w L gmm pu [ u yp 3m p u 3m p x u 3m p yp x L 3 u w mmy mx wg ym qu p v u γλ γλ λ ξ v λ ξ η p v p v v p u A w mmy U p v u mx w wg u ym w g u qu w mmy m v Equ 3 U pw [ U ˆ v v V ˆ m v λ θ v η U λ θ λ η ˆ θ η U λ θ U v U λ θ λ η θ η U λ v θ λ ˆ θ η ˆ A 3 m v v ˆ u 3m p u 3m p ˆ I I ˆ w w p g p g vx vx u w mmy ˆ u v w mmy mx mx y w ˆ y[ w wg m wg m x v - w v pg U pgg v pg U pgg [ wv ˆ v x quv m w

12 ξ θ λ η θ η U λ θ U λ ξ θ λ η θ η I x w w w u m u g p w - g uy m

13 p C w yp Dg u p C w Dg u p C w - Dg u Ag [ O-w- u 3m u- p pg- g-w q u- v u- - g Hm Ag u g mx w-pg x-p O w ua gpg g w W -v qu v u g p Hm u g uu g pu pp mp Owp mx u λw u pg pg x p u gy ym gw mmy ˆ W v uu mx vx u g ug v vx yp pu p u pp vg g pp mp p Hm pu w u u u gy g u ym mmy mx mx g uy vxm wp mm x p ug vx - p W v vg pp uu m gpu p w u u g u pu qu p pg uy m mp w--u-- m x-- u p pg-- u u g y g -g p-- ym w- qu - - mmy - - mx m x x p- ug pg vx ym g gp p g yp w vg m pp x p pu w u u g uy m m p u g qu x x w U Equ p x λ ξ θ ξ pg θ m g g p p w λ λ θ η U λ mθ x p λ θ U η p y m g g w m p u w mmy gg mx w m p u w mmy mx L g g λ λ θ η λ θ - λ θ η m λ θ η λ λ x θ η A λ θ L m m ˆ λ θ U η λ λ θ η D λ θ m ˆ m λ θ η η ˆ λ λ θ η λ g θ A m g L 3 λ θ η η λ λ θ η C λ θ x u p w u m y p pw x mp m u w m p pu g w p D p [ g g w L m ˆ wkgm ˆ w u w ˆ [ um ˆ g m I m ˆ mwk g L 5 um p ˆ m p u x Uuy ˆ m ˆ pp p A g mp p g u ˆ upg w ˆ x ψ u w x p mp u y p w x mp p pu p g ˆ w p ˆ D w - -w- ˆ - -kg-m ψ ψ - -w u - -w - ˆ qu k um ppy - - g g- w - g uy ˆ m mu ˆ -m uy I m mwk g g m u um p ˆ p u x Uuy m ˆ pp g λ δ ζ η τ λ mp λ δ p ζ η τ g ˆ ˆ u- - u-pg - -w g λ δ ζ η τ λ λ δ- ζ η - - τ gk w x mp w uy pm p x u p p g gk u p g gk y p w x mp ppy p g p w u g g uy m w mu yp p δ ζ δ ζ η τ τ η uy m g m u L g w δ ζ δ ζ η τ k τ gη m 3 w w [ um w v mpg u gg L m g I m mwk g um p τ τ p η u π δ ζ x δ ζ η πm Uuy m pp g u gg mp p g p u w W up uy g w pm w wg u Equ m p ypp g w x mp m p ypp v u u Equ λ ξ θ ψ ξ 3 θ λ δ ζ ypp λ θ ψ [ v ˆ m p g ypp m p g v u p w v mpg Equ ppy g w v g u u uy p m v mu uy m p m g m u

14 G F w λ δ ζ δ ζ ησ δ ζ λ η δ ζ g vx mx m g - O mx O λ θ λ δ ζ U λ θ 5 U w g w g mm u p p A λ θ λ θ C λ D λ θ w uy u w g O λ θ vg O pu x w p up w g p A λ θ D λ θ p C λ θ C λ θ g u ug g qu Pp L θ δ ζ δ ζ δ ζ y uy u p w p g v v < ψ λ λ θ λ θ 6 g O µ θ w gvu Λ µ λ δ ζ δ ζ ζ µ δ µ δ µ µ η ζ µ η δ µ η δ µ µ η µ λ µ λ η µ ξ η µ ξ η µ λ η µ λ ζ µ η δ µ η ζ µ η µ ζ µ η δ µ ζ µ µ η µ λ η µ λ η µ λ η µ λ pv λ y qu µ ξ µ ξ yλ λ δ ζ δ ζ yλ η λ δ ζ δ ζ 7 w yλ λ δ ζ δ ζ ζ λ δ λ ζ λ δ λ λ λ k λ λ k η λ ξ j η λ ξ j η

15 G F G F w k j [ L u 3m L p -w v v yp p pp g gm mpu m v A mmu v g u gv Appx I w v p u v g m g w vx p w mx I g m p g yp A λ θ [ g D gλ O θ u mx 3m p u 3m p Equ w 5 v O v pg -w gm ˆ v ˆ u v 3m v w λ θ U pgg v -U- g - w- g -w g u p p A p g C v x mx m D O mx w uy u w g O g vg g O pu x g gk w p up O w g p A ˆ w v v U p g C 5 C m g g gk g u ug g qu Up w g w Pp L g ˆ m m y u-p p w p p g v A v Equ C 6 p D m g gk m g g g gk m g O g g O mu w gvu L L Cp Lm mu vg v O v p u x yp m g mu yp up w g mu p yp A mu p mu v yp p C yp C mu p g mu yp g u mu ug g L 3 m m yp qu mu yp mu m v yp mu p [ u 3m mu p u 3m p pu m yp mu p yp mu x L L 5 yp mu yp mu yp P p mu L yp mu v yp mu yp y uy mu up yp w mu yp mu L 6 m pu yp p g v mu v yp m mu m v yp mu yp mu pu m yp mu g yp g mu x m pv p ˆ g y qu Equ 7 y m g 6 y g w g O mu w g y v v [ g g u 3m p u 3m p Lm mu v mu mu mu mu ˆ u 3m p m pu ˆ u 3m p k mu m k mu m mu pu x j p m p ˆ x j mu k g-qu j mu p pp p ˆ g mpu mu m x A- mu mmu x g u gv Appx

16 p C w - Dg u 3 Pp ψ λ C λ θ C λ θ g O µ θ w gvu 8 pv λ y qu Λ µ λ δ ζ δ ζ Λ µ λ ζ δ ζ δ 9 w yλ λ δ ζ δ ζ yλ η λ δ ζ δ ζ yλ λ δ ζ δ ζ yλ λ ζ δ ζ δ w uy g v w A pyp x u g X X Z m x Pp 3 L θ δ ζ δ ζ δ ζ y uy p u w p g v v < ξ θ ψλ w g λ pv λ λ y qu - p u7 A u ξ θ ψλ C w C λ λ C y u p w v pg p g gvu Hm gv j η E ελ j η ελ j λ η λ u w mp g xp g p w - g u m O p vx - m m wv w m wk p m y - u upg p pm u y w x u m p λ θ C λ θ vy mp m O pu u pm mp p pum m u m g quvy p m g m U λ θ g Fwg m w λ ξ θ ξ θ λ η θ η U λ θ λ η θ η λ

17 p C w yp Dg u 3 p C w Dg u 3 Ag p w m p u w Pp m - [ Equ u 3m p my mx U λ θ 8I y k p w m w g mp gk C p u upg m C P p - g m xp v g gk v g O g g λ ξ θ ψ mu ξ θ U w gvu λ θ λ δ ζ ψ Equ 9 Cp Lm m m p ˆ g C Cp Lm mu C m p ˆ u pv g g y 8 qu Equ g y v v y g O mu v w v g g w g Equ u 3m p u 3m p u 3m y p u 3m p Lm v v y Lm v v g p w uy - g - -g v- w A- p- y-p x - u X X Z m x Pp pv 3 L v y y uy p-u w g p g g v v y x p v pw y g gk w v g g p pv g y qu yp p-u 7 A w u x p pw g g C g gk y w C v v u-p y v -w g -v -pg p g gvu Hm gv E um g m j p j ypp g m j yp v yp m w yp u y u w p mp g g xp v g w p w yp A p yp ˆ g u x m O u p g vx yp m X X Z m x m wv w m wk p m y yp u- - P p -u -pg L - p- - pm - w x u m v - v y uy p p u w C vy mp O pu p g v u pm mp v p pum m p m < u m g quvy p m g m [ U x m p ˆ g Fwg m g L L x x L g w -w v g U pv y w- qu m p u 7 Ag p w m p u w m yp my mx A U v u I y [ w mp x p -u --u pg- m - p - ˆ g yp g m xp v x w p g gk C x v pg U C y u p v

18 G F w λ δ ζ δ ζ ησ λ η δ ζ δ ζ I m w p g vx mx w - g uy m O mx w g u O λ θ U λ θ λ δ ζ Pp L θ δ ζ δ ζ δ ζ y uy p u w p g v v < ψ λ λ θ λ θ g O µ θ w gvu Λ µ δ ζ δ ζ pv λ y qu Pp 5 yλ λ δ ζ δ ζ yλ η λ δ ζ δ ζ ψ λ C λ θ C λ θ g O µ θ w gvu Λ µ δ ζ δ ζ pv λ y qu yλ λ δ ζ δ ζ yλ η λ δ ζ δ ζ 3 Fy w g u p g g mx ug vx - m Pp 6 L θ δ ζ δ ζ δ ζ y uy p u w p g v v < ξ θ ψλ w g λ pv λ λ y qu - p u A u w ξ θ ψ λ C C λ λ C y u p3 I y k Λ µ δ ζ δ ζ Λ µ δ ζ δ ζ yλ λ δ ζ δ ζ yλ λ δ ζ δ ζ I u pg m g u m Pp u x pg u x u yg m u g H p wp v p w

19 G F G F w [ -w u x 3m p kg y w m p g yp u y p gm v yp m w m p w mpu I m w pu w p g u vx mx w yp g uy m O mx w g u [ w O v pg U gm ˆ -w p pgg Pp L v v v m v y uy p-u w p I g m v w v p g vx mx w g m L p O mx w g u g g v m m m [ O v v g gk v U ˆ L u 3m p ˆ w ˆ g O mu w gvu Cp mu pv y P p qu L v v Equ v y v p v u v w y p g v v v v m Pp 5 [ L g p g m p ˆ g g gk v v m m m C v v m g g gk v L u 3m p u 3m p u 3m p g g O mu w gvu Cp mu pv g O mu Lm y qu mu pv Equ 3 y y v q u v y v v g g y Fy w g u p g g v mx v ug vx yp m y g Pp g 6 L y p-u w p P g p v v 5 x p [ g g m p ˆ g gk g C w v v g C v p pv m ˆ u 3m p g y qu yp u p-u 3m p u 3m p u 3m p g A u x p C g O g gk mu Lm w C v mu pv u-p 3 I y y k q u L Cp Lm mu v v g g Cp Lm mu v v y L L 3 y v v y y g 3 I u- g pg--m g u m Pp F u- y w x- -pg g - u- - u - x- - u- p g -- -y g- g m u mx g- - ug - H- vx p- m w-p - v- p w- - - x- -kg - - y w - -m p g pw - [ - u - 3m -u- p - - u - 3m - y - p - - u - 3m - p u- - u - 3m qu p k u 3m m w m p w mpu pu

20 p C w yp Dg u 5 p C w Dg u 5 p C w - Dg u 5 5 O m w g [ I u pvu 3m p w u gm ym g u g p w yp g uy Hwv g 5 O p m w g gm yp yp O m w I 5 pvu O w m u gm w ym g g u g g p m wyw uu - g g uy w g mx Hwv xg yp I vx p m v w u g w u g m ym g g O m p w m p m w gm m g w uy - - O m w Hwv m g u Evy qu g vu g w j qu m wy p uu g 6 p w g g gu m mx O x g! - vx m w g p g O gm wg w m m wy uu m gv ym g m w w yp- g m-- mx - x W m x m g v w u x m g w Evy qu w g m mk g θ U yp u vu w j qu g η 6 p gu I pu w wg p yp O m w m m m w uy mx g! m g u Evy qu Fgu p uy ggu wg w x g v u w j qu gv ym yp m p I w 6 p x vx u uy p u m w m W w uy m w g I w pu m y uy mk u U - u p w g yp g uy m I pu w wg gu m - w uy y w w g vp 3 x mx [ 5 w x g! vp 3 x uy w gv mx xmp λ λ gv mx Fgu uy gu w x g θ F-w - I w g H- vx u m uy - gp u upp u -y g w m m p g wg ˆ gv y w g m w wuy w w I u pu Iy uy A x yp x m pg x w u m p mpy w gu - g uy g m uy m gw g uy upw y w Equvy w g W m w g w m mk g upp uy g w gv w xmp II gv mx m w u U u g I pu w w g g u I F w gh m g II p g uy w uy wg g upp u y uy mx g w m g w uy ˆ mx w w u I A x g x w u w v u p gu m p u m mpy gu g uy g g w m u w mmy mx my g upw Fgu Equvy uy g u g w g x g upp uy g w II m w u I II p p I w v g x uy w uy u wg uy gv p u mx u w w m v u w p uy gu Im p p u u y u w m p u w w mmy g mx uy m my g m w uy y w w g w g v xmp gv mx Fw g H m y g w m g w uy w w u I A x x w m mpy g u g g g upw E q u v y g upp uy g w I I m w u I I p g uy w uy wg g mx ˆ u w v u p g u m p u w m u w mmy mx my g

21 6 G F 6 G F 6 G F Fgu Dm w uy [ u I p 3m u p w L L Z x Fgu Dm w uy Igk p u w m- pu Fgu Dm w uy g gk I p u w L 3 w II w L L Z Z [ g g λ ξ δ C ζ λ θ p gk Z ˆ pu C m- g gk L 3 x w w w g u u ˆ II w m p m I g g w wg p L L Z g p v Z C v gk m- λ ξ v δ ζ C λ θ g gk L 3 L 5 Z w I I w C x [ g w v w g u u v θ δ ζ gk pu C v Z ˆ C I g g w m- wg g p gk x L 6 A p u Z u -g-kg g - v- m p C - - k- m ˆ mpu w u- wg m uquy - y - v wg pp g Z λ ξ δ ζ λ θ u F pm m p u L Z- w w u u x xp w w um w 3 m yp Z C I g λ ξ δ ζ C λ θ yp Z g w w g p p [ g pym g g A m Z ˆ p u uz g kg v k x mpuwg wu v gˆ muquy m p v ḋ v m wg g pp F pm λ m p u Z ˆ C x v g m p Z λ C ξ δ ζ xp λ v g g δ λ ζ λ Z λ ξ δ ζ pym g m λ A ˆ p u Z ˆ g k g v ˆ k ˆ u ˆ w g m uquy ˆ y v w g p p u F pm m p [ g g Z x xp g y um y g m x pym g m ˆ

22 p C w yp Dg u 7 p C w Dg u 7 p C w - Dg u 7 u F p u [ L u Z 3m p x p yp yp v yp F pgg pyp u v yp u F p u η δ ζ η δ λ yp mu ypz λ ξ δ ζ x L yp [ g g Z ˆ v λ ξ δ ζ λ ξ δ ζ δ λ yp x yp x yp ζ λ ˆ λ ξ δ ζ λ ξ x pggg ζ λ u x x Z λ ξ δ ζ ymm λ Z ymm λ ξ δ ζ ymm ξ Cg ymmy u x Z x g ymm x u Cg ymmyz λ η λ ξ δ ζ λ η λ ζ u Z ˆ λ λ ζ η L Z x x ymm λ δ yp p u Z ˆ λ δ η Z λ λ ξ δ ζ yp x v yp ymm x uv yp u Cg L m ymmy yp v [ g g Z ˆ Z Z λ ξ δ ζ λ ξ η ζ λ ζ x λ p u uv x δ ζ η L Z λ ξ δ ζ η vxg-vxg-vxg x yp yp m v yp L Z ˆ m pu m yp x p λ ξ η gλ ξ η λ ξ η v yp L 3 m pu x p u Z uv λ x ξ δ ζ L L m Z p [ g g Z ˆ Z x λ ξ δ ζ λ ξ η δ λ wv x δ λ p L 3 Z mm δ ζ η m p ˆ λ x ξ vxg-vxg-vxg δ ζ η x yp x yp v yp p m pu m yp x yp g λ ξ η λ ξ η λ ξ v η yp p L 5 m pu x m m p x x Z x λ ξ δ ζ L L m Z x p I m w u yg pp p [ g x u g m I m wg Z ˆ w pp u yg y pv pp p v u pp Pp wg pp 5 y pv x v pp Z Pp ˆ 5 x L wv Z x Z λ ξ δ ζ γλ gmm δ ζ η j δ ζ η m j p m pgg p ˆ yp x p yp p L pu g λ ξ j λ ξ j λ ξ j η λ ξ j η x j x x j j ξj ξ ξ j ξ λ j λ λ j λ η L m m j p v pu yp x x j x yp x x j x yp < j x j yp j L qu j [ g g m Z ˆ x g p I m w u y g p p p

23 8 G F 8 G F 8 G F w [ L u 3m p j yp x j v yp w yp x j v yp L m yp yp w v yp x j yp x j j δ ξ j ζ ξ j [ g g j δ yp λ ζ λ x yp x j λ x j η p u Z C x mpu j m wy λ Equ 5 ξ j η λ ξ j η λ Z ξ j λ ξ j C m p u x Z C mpu m wy Z x j x x j x j g Z C I- - -x pg- - λ ξ δ ζ Z - - p- λ ξ ζ δ 5 - y m v m ymmy I xpg yp mx p u Z ˆ p C y m v m - mpu - py ymmy gv mx Appx gv Appx w p u y ug m m I g p g v m w mp w pvu u u ug mpm y w ug Z ym ˆ C x m m g g I m p U v m Um w pvu W gvu m C- Z ˆ x ug - mpm U- w - - g-m- ym - -p g -- g - m-- -m - m -p - m--a u g 5 w- U g -U - W -gv x- m - y p v C - wg U gm p m m pp p m A w Pp 5 pp x y p v wg Z I C p x pg x p ˆ m m v pp Z v m p y ymmy m gv Appx Pp 5 x v v Pp 5 3 Z w p u y p v m Z C x m v m λ ξ δ w ζ p Z Z v λ u η u ξ C δ ug ζ mpm w ym Pp 5 3 g x g v m U v U C p U gm p ˆ m p Z Z C λ ma ξ δ ζ pp Zˆ C w λ η ξ δ ζ x x m y p v v w Z g x v v g W wu g k m m Z C u p p λ ξ δ ζ Z m λ ξ ζ yp δ F yp p yp W wu k mux m C m mux u- g-p kg- m F - - -yp g p --v x ± w C ± vp gp kg qu k x ypv m w P vp F -yp -kg p -- O-- - -m p - u 5 [ m F yp kg qu k p w- - O m -kg m- w -p -u -g u [ w -- p- - p-p [ - Z - ˆ w - C kg qu k u u - m g p x u g v w w- Z ˆ p -p kg-p- p p [ w u y u p g W w L pkg Yg qu x k p v w y p W L Yg [ u g m w p vw F w u g m w p vw F p u O m w m w uy mpu w p u O m w m w uy mpu p- -w -kg pg- - g m p-x P p - w kgpg um g m m qu k p xp w um w m pvu [ w w y upvu uy m w y [ Z ˆ u yp g uy uy m m w I pu - g uy m x p w I pu v mpu Z ˆ C u p w m yp mpu u m - x v I mp I mp u u u u w w vy p vy p p p w wyp - g u uy uy mg mg p p u-u- uupg -pg y- - y w- - w - - u u- - - y y g - u p - p w O m p w g wuy O m m w g Hwv uy m m p Hwv p m p vw [ Z ˆ C p g vw u g w u w m x m m v mp m mp u-u- Z ˆ u -- -pg-pg pg- pgpg u-- x - -p-y-i v g w u pyi g w y p-w p w w kg -w kg- uv - - -u y v- mp y-- jmp j u qu k u mg W wu u k m [ mg pp mu u u w pp mp m pm u u p w mp pm u mg w mg w w pp p pp w m g pp pm v p C pp w pm y m g g p v k g w y p x yp v x m F yp k g p O m w u [

24 p C w yp Dg u 9 p C w Dg u 9 p C w - Dg u 9 A Dym mmu [ I u ppx 3m w p gv v ym g W pv ---m--w--v-u P -- -g -p A Dym mmu -- -v--v v - -P-y p I A ppx Dym w gv v mmu ym g W pv m wy W wg ym mx O I ppx w g v v ym g W pg - m w v u v P g p v p p v g g pgg m m wy A u uu w p v w u x mp P p g ˆ p vv W wg ym mx u-u-u -- -u-v -pg-pg g v - - Py -u- - p -x - - g m- - m P-u - - -p O λ θ λ θ ζ η ζ U λ θ wa w u u m uu wy g p mx w x wg mp uu uy p -w u v- u u g-kg uvpgpg - g qu qu u k xy y F v W m u w g ym mx m p D-w m [ D-w O yp ˆ w v P u v p yp ˆ v U D w w u g mx wg yp uu uy wv gkg yp qu v [ yp pu yp A u F uu v u p m wp A m D x λ θ ggg mp I uu y u mpu p u A v pg p g g p D-w u D λ θ θ η η x D λ θ θ y η λ η η y θ η λ η θ η η A λ θ g gk L m A m g gk yp I y mpu v yp p A λ θ D λ θ pu g yp g x yp P u g gk p L δ D-w λ A g λ θ λ ξ η λ ξ η g gk yp yp δ λ p v yp w w u g λ ζ λ η δ λ η yp mx w g uu uy D w v λ θ λyp ξ ξ m pu m g λ yp k gη ζ ˆ λ δ λ qu [ x yp x F w y v g v g m gk u m wg p m w m D - - w- y-g -v - m w - - g- - m- u - p- p u p - A u p yp D A D-w [ w D η θ η η λ L A A λ θ λ θ θ η η λ η λ θ D λ θ yp yp D v v ˆ yp λ λ η yp λ λ η λ θa λ θ A D-w η λ λ θ η L yp θ η η λ λ η λ θa λ θ yp p v yp yp I y mpu D λ θ λ θ p λ A θ η m w A D θ η η L 3 yp m η λ yp λ η p [ yp g g A λ η λ η λ η m λ θa λ θ yp g yp p ˆ x A λ η λ η x λ θ D λ m L λ η λ θ D- w D m g yp η λ η λ θ η η λ θ D v yp λ λ η θ η η λ θ L 5 m yp yp p ˆ yp mx xp x v yp p m g g yp yp m D A ζ λ η L 6 yp yp w O λ yg θ ˆ v m λ θ ζ λ η v yp w g yp m m u u p A w ζ λ ζ D θ η λ λ L η 7 yp yp ζ λ η ζ θ η λ η λ yp η A λ θ [ g g A v yp yp yp ˆ ˆ u 3m D-w p ˆ w D

25 G F w y k ug uu g gum u p ψ λ λ θ λ θ < < g mx O µ θ pv p p u v pg m w y qu δ δ ζ ζ η u u w g ym u g g w P p y vu mp p Hwv mp mm y g w x vu g p w - g uy m w A u u pg pg m p y m g x w w pg W p y ymmp y ym u w mmy mx pg p y y y mmm mx w y p g y pgmv my ym mmy mx σ x λ θσ x Γ x λ θγ x w Γ x σ x w u g u θ δ ζ my py ymmy quv xgg δ ζ A pg m x u σ x λ δ ζσ x λ ζ δ g py ymmy U λ δ ζ σ x U λ δ ζσ x Γ x U λ ζ δγ x w mp w λ θ C λ θ C λ δ ζ Γ x λ ζ δγ x F pg y u gv p u O λ θ O λ δ ζ δ ζ Γ x O λ ζ δ ζ δ Γ x u u w pgpg g v w g w gvu qu my w uy gg δ ζ py ymmy m O p vw θ θpg w pg m vpu w Hm ymm δ ζ δ ζ Ug w mp g v v pg p p u Z C Z

26 G F G F C Impm w ym g ww y k uguu g pg gum pg [ u 3m p u wg mpm p w g p g gk w y ρ k ug λ uu θ Γ x g m λm η θγ m x g gk gum p g mx O mu m pv p [ m p ˆ g m p-u --v pg- m-w y qu m p -u u -w - - g y m-u - - g-g w- P- p y vu mp < < p Hwv g mp mm O y g mu w x vu pv g p p w yp g uy m [ u 3m w p u 3m p A-u-u-- pg-pg- m-- p-y- - -m g w w - - p - u ˆ - --pg v pg W-p - mw - - y- - -y -m ym u w mmy mx qu - - u -pg p -- -p u y -y w -y m- m-m - - u yp y mx mu w y p gg g ˆ - w y- P pg-m-v p my ym mmy mx L gm y vu x mp gm p x Cp x Hwv mp Cp Gmm x L mm w Cp Gmm y x g pu gm w x vu x w u g u g p my w py g ymmy uy m quv xgg w -A- pg- m x u gm Au u x p pg pg m py ˆ gm x g x w g py ymmy U Equ p gm p x U g Wp ˆ m y gm y ˆ m m p x Cp y Gmm ym x U u w mmy m m Cp Gmm x w mp p w p g p ˆ C mm mx w y C Cp Gmm x yp ˆ pg Cp Gmm mv x my ym mmy m -F - - pg- - -y- -u - - g-v -p u [ Equ g g gm ˆ x O gm ˆ x quv O Gmm x v v Cp g Gmm x O v v Cp Gmm x u-u w --pg pg- -g v -- -w u - u-p w Gmm g x - p gm ˆ x w u g w gvu my qu p my y ymmy w uy gg py ymmy m O p [ vw g w pg-w - pg- m v-p - - -w Hm ymm q u v xgg Ug w mp g v -v - - -pg p p - - u - Z C Z Ap pg m x u C Impm w ym g [ W---- gm ˆ x -- -pg-pg wg mpm gm ˆ x w - wg- Cp Gmm x Cp Gmm x g p y ymmy U g g gm ˆ x U gm ˆ x U Gmm x g g

27 p C w - Dg u I y m ρ λη θ pg pg upg p g mpm u w w p O m u w w W p u g p mp w p u I y C λ θ ρ λ θ Γ x λ η θγ x Z C λ ξ δ ζ C λ θ Γ x λ η θ Γx λ η θ Z λ η ξ δ ζ m w p u mpm gv ug w p w g u u ug w g Akwgm u gu LPHE y Uv é P Cu P 6 py w m mu W wu k k J V G wk J Av V uv my g u upp g Cu uguy C é g ugg FAE pgmm [ A - D H Fum Pg H ug A F w XYZ m L P y 53 w pg I w w v u w [ x Eg - vx m - m p Hg II Equv g I - yp m A P y [ 3 C J L H - Q - J Wg Y Ex u p w up uy u P y 663 w pg yp m u gv w [ Ck I V Fg p - ym P y [ 5 G J E F H L u ymm xu p w u 95 wv yp pg m w u x v g u [ 6 G J E F H L Ex p gp ymm xu p w u J y E x p 6 wx yp pg m pg [ 7 Fv L D ky E kj L A Quum v pm m I P y [ 8 F G Cm y g ym p uv Pg I Cg m V Z ü 9 9 k ä u p - / [ 9 F G Vk A Ag p quum gup E τη u P y 8 qypgx pg x ug v v v wu

28 p C w yp Dg u p C w Dg u [ F G Vk A O p p quum gup E τη C m m I y m P y - m -pg [ u 3m -pg p -u pg g mpm u w w p O --m-- 8 qypgx -- pg u-w- --pg-pg x vu -v -w-w - p- x g - I - - y - m - -p ˆ y- p- p [ mp gf G w p p p g u u u pg gm I y m w Cg J m g y E x p wx v pg x m mpm pg u w w Cp p x [ Gv m J - p L vu A v g u w y pg Cp Luv Gmm g p x g ww y C p u P y u 5 x v g v p gk pu C y p mp w m- p g gk u gk I pu y Cp Gmm x v Cp Gmm -m g gk gk m- pu g g v g gk Z Gmm x x v v Gmm x Z ˆ C m x v w p u v mpm gv m p ug C w v p w m ˆ g g u m u p ug Gmm w g x Akwgm Gmm x m ˆ g g ˆ m u p gu LPHE y Uv u- v P Cu P g Z ˆ x py w m mu W wu k k J V g G wk J Av V u g u m upp g Cu w uguy p u C u- m g ugg ug w p w FAE g pgmm u u ug w g qu Akwgm k qu k A yp D H Fum p Pg H ug A F yp w XYZ m L P y u g u LPHE y U v u P 53 p y w m -w mu -pg W wu I- -w k - k J - u - V u-w G - wk J Av V uv my g qu k qu k x Eg yp vx m yp m p Hg upp g Cu uguy qu u II Equv g g I yp ugg yp m A P y 76 FAE pgmm 5 7 qu k 3 qu k C J L H yp Q yp Wg Y Ex u p w up uy u P y 663 -w pg-yp mm -g p v- [ w-v A - w- D - H 6 3 Fum Pg H u F qu k w XYZ m qu k L Ck I V Fg P y p yp ym P y 6 98 [ ˆ 983 w p g I w qu k w 5 v qu k u G w J E F H L ymm xu p w u P y v L 95 -w - - v- yp-p -m p w- -u [ - -x x -v - -g Eg u-v vx p-v m - g mm qu k 6 qu k G J E F H L Ex p ymm xu I I Equv p w u g I yp m A P y J y E x p 6 -w x- [ 3 yp-pg C J -m L H - - Q - - J w-x Wg Y - Ex x-p- u -u p v-w u 5 pg P y 663 ˆ w pg yp u qu k g 7 v qu k Fv w L v D w ky E 6 kj 3 A Quum v pm m I [ P y Ck I V 979 F g p ym 9 77 qu 983 k 8 qu k F G Cm y g ym uv Pg p I Cg [ 5 m G J V E F H L Z u- u 9 9 ym k - u p yp P y v L 95 ˆ w ypp qu k g 9 m qu k w F G u Vk A x Ag v quum u v gup E pv u ˆ g u P y 8 q- -yp -- g-x pg- x-u g- v-v

29 G F G F G F qu k 3 qu k G Zmkv A uy mx [ u w 3m yp m p g qu yp um y I J P y A 9 [ 3 G Zmkv A uy p- yp-u -pg u- mx uy w - m g-w 5 m p g qu [ - qu k 3 qu G k Ig Zmkv A G A uy P u mx x yp vx u um y I J P y A vum v Py Dk 3 9 pypu 987 pg 878 um y g I w5 [ Ig J A G P u P x - yvx m A p vum yp v Py udk 3 p 987 g qu k 5 qu k Ig A G p V E 8 u qu 8 g w g m pp u [ [ 5 I gig A A G p V E u quum v g x m vxpp m C m m P y vum 9 p u qu k 6 qu k wk J p C m878 m 879 P y [ 6 wk G vv A V C u J G vv A V C u I J y Exp 7 p [ I J 5 I g A G y p Exp -w - X- -v v-pg - -v - 7 V wxv E - quum - v pg - v v-p g pg [ 7 wk J G vv A V O 9 37 pg C u qu k 7 m qu m k P wk y J p [ 6 II J wk y E x p G vv A V 8 wxg J O v u G pg vv pg [ 8 J V Fm Hg p - / II J y E x p 8 p u -w - X- -g v-pg I - -g - v-- y Exp -P P y X -v v m pg 9 vp g yp x uv v 8 xv v v P [ 9 9 J 37 V pg C u Hg p - / qu k 8 qu k J V [ 7 mg - Hg p yp wk u J G vv A u P y P y mw m vv u 9 -yp v v xv- 8 -x v-v -g [ p V E Cu I I m J wv u C m m P y y86 E x p 9 8 X 39 8 [ g pm vp g I u g w g qu k 9 qu k J vp V p P uy m vj P y v A C u Hg p yp 33 pg mg yp [ 8 G u 37 wpypu P y J 567 pg V Fm u m-w -- 3u - Hg u [ pm I v F Cmp u w -v v- -u 9 v- v-g w- - g P uy y m J P y 55 A ˆ m G qu k qu k p V 36 9 E wpyp Cu m pg yp wv u [ 3 u Pkuk v uv V 8 yv A x vv O m p u g p wg u C m m P y [ 9 qu k qu k J pm V I C u u H J P y A g uy m J P y wxg A v pg w g v w pg [ g H A Ig u p P - yp y y 8 VO m 567 w pp G 37 -w - p- yp-u ˆ mw -pg u -u- g g - 3 v u-u- v -u -w u 9 v v g w m qu k A v A p p qu k pm 3 wx I v pg v F g Cmp v [ [ 5 u ky p E uy V E w C u g quum mym J wv P yu A C m m [ g G uy pm 988 m J I P y A u G 36 w g pw p- yp- -pg v - [ 6 kj L A Fv G L D quum 37 m ˆ w v pm p g yp u XYZ m qu k 3 qu k 3 u Pkuk u uv u V w yv A mm m [ u p u pm u v p y 3 I wg 979 v 5 u F 68 Cmp [ 7 uy O Dm mu u x - vx m w g J P y J P y A -w - X- -g v - g w-g - uy v-w m -w J - P y u- A - w-v G pg 36 ˆ qu p k 5 yp qu ux k vp v g g H v A g Ig p yp yp VO v m w pp g g v [ 8 Wg Y - pu m g uy XXX Hg [ m 3 Pkuk A v uv A p p V y v A 3 O m p u -w - p - / u P y X v-pg [ 9 - Yg W - L -g C X - Fg J v- H Hu - Y - w-v - J Zg v-w Y - Z - Dm qu J k 5 P qu y k A ky E uy g ˆ w quum ym p pu w - g uy m J H g E J g P vp y g A G w g v 988 w w g y P y w 375 v 389 pg [ qu k g 6 H qu A k I g kj p L yp A y Fv L 8 VO D m w m wx v pmv pg g XYZ m u x 6p u m u A v v y 3 A p p ˆ w qu [ 3 vp k Yg W 7 g - L Zg qu Y k - Z O uy O g mp Dm g v mu x yp vx g v w J H g JE gy P y 7 P wpvyp y 39 pg 998 v u [ pg -u ky x-v -v E - uy -v - g- g quum ym J qu qu [ 3 k Yg W 8 - L Zg qu Y - Z k D w Wg Y yp w - g uy m pu g u P uy 375 y XXX 389 Hg 83 wx v pg u g u p yp u P y 6 69 p [ 6 kj L A Fv L D quum m qu k 9 qu k Yg W yp L C X Fg J p H u Hu yp Y u v y yp J 5 Zg 68 Y yp Z p Dm [ 7 p uy O Dm mu x vx m w g pu w yp g uy m J H g E g y P [ 5 u x v v v g -w - X- - v-pg

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