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1 66 M M Eq: I M S I T - I S W q - I S T q ] q T G S W q I ] T G ˆ Gα ˆ ˆ ] H Z ˆ T α 6H ; Z - S G W [6 S q W F G S W F S W S W T - I ] T ˆ T κ G Gα ±G κ α G ˆ + G > H O T O - - [ ˆ T - G S W - F - - S S W S - - S W ˆ T - L : L B S B S B [ω B - L ˆ L : S π : : G S B ; : B π [ω F L * F L : : S S ˆ + ˆ S S > 4 4 ] H F : S q H - F : S ; T S A O F - T ˆ A T F S : S S - S : S α S q - T ˆ G AT ˆ S V q- 8 4 q q L : ˆ B T B [ G A T V 8-4 L : S : B ; [ : S H F : S ; A ˆ F ˆ ˆ ˆ ˆ : S

2 G S S G S 67 : : V V T π T S V V T T * T S π V - ; S [ 4 ] ˆ q q * T ˆ T S ˆ M S S α 4 V α α T G S q M S A [ 4 ] ; S [ 4 ] [ 4 ] α κ S α G W α G α S ˆ S N A α A 4 ˆ M S G W G π α Gα π α; S ; [ω] > ω α N G - S A π ω W q T G W G * q S G A [ 4 [ 4 ] Y S R A G T [ ] G W q q q * W T-G W + - > L - -- S ˆ - -q - G A S- -- N T - - V A Y ˆ - - -R - - -A -G T [ -q q q ˆ ˆ G ˆ L ˆ G A T - - V 8 [ ] ˆ > ˆ W TG W q ˆ S ˆ Y R A G T [ ˆ ]

3 68 M M 68 M Eq: S G ˆ ˆ E S α Gα S S G W E T E 4] ˆ ˆ S - W T W ] S W - W - ˆ T 99 T q - - G q : T ˆ W q G - q - q ± T L- : S L : q H Z T S G T L : ω S L α H Z ω α < ω T S α Gα I q I G q T G - - T -T- G [ T - ˆ ˆ 4 - : [ q G - A G A T TV 8-4 V 8 - T ˆ L : L ˆ H Z < T S ˆ ˆ I ˆ ˆ ˆ G ˆ T ˆ [ 4 ˆ ˆ ˆ ˆ ˆ [ q

4 G S S T L ω G 4 T + S L 69 > T L + κ T α H ; Z Gα ˆ + T Z G G > + ±Gκ α W q H ˆ B ; Z G T W q B T + > S G S T T - - ] T T O W O- q S - B T S G S ˆ GI + - S > S S I S - T - GG I IS S ˆ - - S ˆ - T S - -- ˆ ˆ F F G S G S S - O 4 S ˆ T S T A A S G - - S ˆ S - I - S - - W S W - S G I S S G S S G F - - F G S S 4 - S S S S - q q G G T T H ˆ - - A G - - ˆ - H - H ö ; - - G H ö S G A A T T- V 8 4 V W S 4 S G F ˆ ˆ S ˆ S q G T

5 G S S 7 7 G Gα S S 7 α - S T G S : q T : q - - ; H ö T G H - W S T G T : q W S T ω - - α - T α ; H B G W S T ˆ T L L : ω S ω F S L ˆ B α H Z ˆ Ω S S : L L : S T ˆ [ ] ˆ MΩα L - H ˆ Z O Ω Ω Mα E M α S B : N M Ω - T S S A - - M O L Ω L Ω S : Σ : Ω I O W S FS M L T W ΛT H Σ T Z E M -- O N M O S - - Σ T S - ˆ S : A O S : S ˆ O I ˆ ˆ [ ] M O T W ˆ - L T * S - R R ˆ S O M ˆ ˆ E ˆ ˆ M ˆ [ N M O ] T S S ˆ A [ O O S O I W ] T ˆ W T S T ˆ & &

6 74 M M 74 M Σ S S Ω T Ω O T T q q ξ O q T q q N q * ξ Γ - - O ˆ T ξ ξ q T G A q - T q N 8 [ 8 ] ˆ ˆ H A N q 8 8 H N ξ ξ + ξ + 8N ξ Eq: N N O G ξ - ; * N N O S T - S T + [ A ˆ ˆ T - - N 8 [ 8 ] Eq: H N 4 N - S 4 ξ - S L- L ˆ S S- + q- E N q - W - L T -W S L- -- T- - -S - W W * N N O ; S [ T ˆ + ] N 4 S ˆ L S E q ˆ ˆ W L T W ˆ ˆ

7 G S S G MS MS Ω S 79 O α B MS MS Ω B ˆ α MS Ω MS O α M MS M MS ˆ MS ˆ O α M Ω S MS ˆ S MS A S [ A T ˆ O ˆ ˆ S ˆ MS ˆ ˆ S N -T ˆ ] N * - - I H - - A S T I - - N ˆ ξ+ - ξ H H I - H S G / - S G - [ ] [/ ] / T G S - - B - T G S S ˆ + Ω S B - M Ω α W - ˆ ˆ H S O S S M O - G W [ ˆ ˆ [ ] [ / ˆ ] ˆ ] / ˆ T G S q B S O S ˆ

8 8 M M A 8 M M Ω M α Ω S O : Σ O R S : S A R M ˆ O O S ˆ : S L M O ; LM Ω α ; R L L O Ω L L [ ˆ ; - L M S S O ˆ T ; ˆ T - ] Eq: T L T O + - F Eq F Eq - q - I I S ˆ - T T I T I q I - q I q T ˆ + W W T - T F Eq - M q M I + O A T O I q I Eq: T T T T E W W T G A V W G M A V 8-4 ˆ + O A ˆ ˆ ˆ T T E ˆ 8 ˆ ˆ W

9 G S S 8 8 L G Ω O S W 8 W ɛ L O q - N N N N F - F ɛ - - H - H N N N F ɛ T ɛ ˆ T ɛ H : < < ɛ : M Ω α L β χ M ɛ ɛ O L L β χ /ɛ L T / W [ ˆ ˆ T + q : T ɛ < ɛ < ɛ - ] - Eq: 4 T ɛ + ɛ M T ˆ O 4 q L - ˆ ˆ ˆ ˆ L ɛ βχ ɛ ɛ + βχɛ ɛ S [ ɛ ɛ ɛ / S ] ɛ ɛ F - q ɛ βχɛ /ɛ q / [ T ˆ + q ] < T ˆ + 4 [ ˆ ˆ + ] S ˆ ˆ q ˆ ˆ F [ / q ]

10 8 M M 8 M + O + > I ξ O ξ q ξ H ξ ɛ > ɛ q 6 7 ˆ + O + > I ξ ɛ ξ ɛ + ξ ɛ H 6 + ɛ ˆ q ɛ ˆ 8 q H W : > q 6 7 q [ ξ-ξ - - q - ˆ - + ˆ N - ] W- - - : Σ N q : ˆ S ˆ + ˆ ξ + ξ + + q [ ] ; ˆ T ˆ q 8 G N G N W T [ N -q - ɛ - - : ɛ * T [ q - ] -G N G- * N - - N N : S [ ˆ + ˆ ˆ ] q [ ] ; ˆ T q G N G N T [ ˆ

11 G S S 8 8 L 4 L ɛ ξ L G q 4 L W N S 8 q W L 4 * N L W Eq: ˆ ˆ N T T T ξ ɛ ξ Eq: 9 W q T ˆ L L T L B W T ξ W ξ L+ ξ L 9 W q L B 4 6 [ 8 ] W ɛ L L ξ W ˆ q ˆ L + L 9 ξ L L ξ W ξ ξ L+ ξ ξ L W W L B 4 6 [ 8 ] W ɛ ξ ɛ ξ + ɛ ξ ɛ ξ L L L Eq: + ξ ξ L N q W R ɛ ξ W + ɛ ξ W + ɛ ξ L+ ɛ ξ L q L q + ξ ξ L W ˆ q W N ξ ˆ q W R L + q L L T ˆ ˆ ˆ q ˆ ˆ ˆ + ˆ ˆ ˆ ˆ ξ W ; L ξ ξ T + L q + ξ ɛ ξ + ɛ ξ ξ + ɛ ξ W ˆ + S L ξ + q ˆ ˆ I ξ ɛ ξ B - ξ S q + ξ q L q I q q q q - N T ɛ T q W ˆ > q L ˆ q W ˆ ; T [ ˆ + ˆ + ˆ ] ˆ B S q q q q T >

12 84 M M 84 M ɛ < ɛ ɛ < ɛ Q ɛ Q + ɛ Q ɛ Q N : Σ Q q Q < Q < ɛ Q Q ˆ ɛ q ɛ ɛ ɛ N q Q + ɛ : ɛ S ɛ Q ˆ Q 4 L N : S q ɛ L 4 ɛ +/ ˆ > F T : L ˆ 6 q T 4 ɛ > ɛ < ɛ ηɛ L N T ˆ q Ω T q ɛ Q ɛ ηɛ Eq: - L q Q F T ˆ ɛ ηɛ W ɛ +/ : 4 L 6 T L T T 4 [ 8 ] L * N T q O T q - N T I M S Q + Q L Σ ξ T δ ɛ W q Q ɛ T T ɛ < ɛ 4 8 ɛ L L δ q 4 ηɛ / ɛ Q ɛ ηɛ Q ɛ ηɛ ɛ L * N ɛ < ɛ * T 4 + / ɛ I δ M S > Q F L T S L 6 T T 4 > q < Q q - L q - L ˆ ˆ N Q T ˆ q O T q Q Q ˆ q - L 4 q 4 Q ˆ W ˆ q + / T T 4 [ 8 ] ˆ N ˆ T q Q + S T Q ˆ < L q Q ˆ Q ˆ q L < + ˆ / q 4

13 G S S 8 8 G T T S 8 ɛ - ɛ ɛ T ɛ T T V S ˆ ˆ V W T ɛ V Σ V W ɛ ξ ɛ N [ ˆ N ˆ V S ɛ ˆ V W ˆ ˆ ɛ ˆ ˆ q q ɛ q q q q q q q q q ˆ N L q q V L S ˆ V Σ V ˆ ɛ -I ˆ ɛ +/ Iˆ ɛ ˆ ɛ Oɛ +/ * ɛ * O q q ɛ Oɛ +/ q - T q q S q q q ɛ O H [ q ɛ ] ɛ T ɛ S q q q q H S ˆ V ɛ ˆ + / q A q q ɛ ɛ A I - ɛ O ˆ + S / [ 7 ] I S 7 O ˆ + / T S q q H ˆ q q A ˆ I

14 86 M M I 86 M B I B W -W B - - T T Eq - W O T T : O [ ɛ Ω - R R N - : T [ Ω I G T N O T q G ˆ ˆ - M Ω T 6 ] I q [ M α N- I - q [ ɛ ɛ ɛ q - N - N I ɛ q ξ W + / W ˆ W - B - - B G ɛ ˆ ˆ Q ɛ q [ δ ˆ ɛ δ ˆ O ˆ T 6 ˆ - ] - - q [ M [ ˆ ˆ ˆ [ ˆ ˆ ˆ ˆ N ˆ ˆ ˆ q ˆ ˆ ˆ ˆ ˆ W ˆ ˆ ˆ ˆ + / W ˆ ˆ B ˆ Q ˆ ˆ ˆ ˆ ˆ ˆ ˆ ˆ ˆ ˆ [ ˆ ˆ ˆ ˆ ˆ ˆ q

15 G S S G S I 87 M ɛ S -- ˆ ˆ ˆ ˆ I ˆ ˆ M M S S ˆ ˆ MΩ α M Ω α ˆ M O ˆ ˆ M O [ ˆ ˆ M B B - O I ] I q - - q ɛ MΩα; M O ˆ - ɛ - 9 ˆ I Gα - 9 I S G S α S ˆ S [ I q Eq: M ˆ - - M ˆ ˆ S- ˆ ˆ - - ˆ M O - ; q ] q ; - - α G α W G - S ˆ α W L 4 T - - S - ˆ L - 4 T L B ˆ V - 9 I G L T + B - V S ˆ G A T V 8 T S G - A T V 8 S q ; ˆ ˆ ˆ ˆ ˆ ˆ G ˆ W S L 4 T ˆ ˆ ˆ L V ˆ [ T + ] ɛ

16 G S S S Fβ ξ T S G S 89 q F F β ξ T - - q S F F T q F * ˆ F Eq: F µ µ + 4 F µ + ˆ ξ + + ˆ 4 L W ˆ + ˆ L A q W ˆ 4 ξ I A F * IS η F - Σ η ξ N L q L N W T T T A T T T I Eq: 4 S R R 4 N R L T T ˆ T ξ W -q * T T S W η - T T Σ η H L q- H η η & & 4 R T Σ W R 4 R - - T ξ S W ˆ & ˆ & 4 B W R ˆ T R T ˆ S B ˆ Eq: H η L η ˆ ˆ [ & ˆ & ˆ & & ˆ ] T ˆ S W 4 [ & ˆ & ] B ˆ

17 96 M M α 96 κ α M [] α L 4 [ ] L ˆ 4 F [ ] q - é α F L L 4 q [ ] - S α L T F é α q T α - q W ˆ S H ö W L V T H - ; G ɛ > L V < ɛ G V ˆ V W V V < ɛ T H ö - V V H V S β T H Z S β H - q L V β V S S H Z ; S β G > < S H V ˆ I - L - L - - AT V 8-4 H V < L T L q q H - A V T V 8 4 H ˆ Z S ˆ ˆ ˆ ˆ ˆ H ˆ L L q q q

18 G S S G S 97 T T B - - T ˆ B [ ] [ ] G [ ] q [ B ] q G [ - W [ ] I q q V G I L W [ ] H ö - I V [ ] ˆ q V N I L W V V H - I V S V V N - A I - L - A q H q - V- V > I - V V S q [ 9 ] [ ] N R q A ν V : Σ V q V S Ū N ν Hπ - - A T ˆ N π T ˆ N ˆ N ˆ q ˆ I A 9 R q Eq: - A q q : S q q > - I N H * T N [ 9 ] * [ ] N R q N ˆ : S H ˆ T ˆ N ˆ T ˆ N ˆ N

19 98 M M 98 M - - Ū χ Ū - E χ S q E S ν L ν q L -- - E q ˆ - T T L ˆ ζ T ζ T T T :Σ Σ φ : Σ Σ : Σ q - ν : φ ν : T T ˆ φ ˆ : S ν S : S S : S T ˆ - T µ ˆ T q ν - : [] q µ - - ] ν - : T ˆ T : S S ν : S q : ˆ ˆ HT Σ T - q - - S - - ν ΓHπ T N π T S : - Σ χ - Ū : R R - Eq: - T H T S L 4 * T - q ˆ ˆ ˆ G AT V 8 G 4 H * T * T S ˆ S ˆ - T T L 4 q G A T V 8 4 q [ ] ] : H T S ˆ T ˆ G H ˆ T

20 6 M M L 6 I M ν q - q - ν L I ν ˆ ˆ ˆ O q O S G q - S G 9 9 ν ν O T q q S G T T q [ ] F q 9 ν ˆ ; T F q q R q M q -q G M -- q R T-- q-- T q M G M T - - [ ] F ι - - L ; ι L ι - S W ι H Z/ T ι G q q L R ι L S W ˆ H q ι Z G I T q G G ν A [ ] : M M ; G; G M G I q - ι G N A T G ι ι : F L 8 L 9 L [ ] M T G AT G V 8 4 N q L T G L S F L 8 L 9 L W H ˆ Z / G T G A T V 8 4 G I G A [ : M ; G ; N T G F L 8 L 9 L

21 G S S 6 6 G S O L 4 4 L 4 4 O - I L I ; 4 4 I ˆ ˆ ˆ S L ˆ - ˆ - L ˆ q ˆ ω > ω α H S - L ; 4 I α κ α H [ ˆ ˆ - - L α q S α q 4 I ] S S M α L > α α T L H S α L L T q S Σ S S Σ T 4 I ˆ W q S -q S S ˆ S S T [ G AT V 8 ˆ 4 ˆ M ˆ ] L W T G A T V 8 4 S q S ˆ ˆ ˆ S S ˆ ˆ ˆ S T W ˆ G A T V 8 4

22 6 M M 6 M O O W q - ˆ ɛ ɛ W q I I W W ν q ν ν W L A I T : L F A W T : F F < < ɛ F M L A [] M W [ ] L - F > q N T W : L - F q F N + R T R [ ] Eq: R [ ] N T T R G - F N < < T + L ; ˆ ˆ G q L ˆ N q ˆ G AT V 8 4 N G M A T V 8 4 ˆ ˆ [ ] W [ ] q > q N + R T R [ ] N T G +

23 G S S 6 6 G S 6 q T T Eq: N q + + T S N q- -q ˆ + M + S ˆ -q M [] I I M - N - - M - ɛ ɛ L L N N - M [ ] I q Eq: M - q q - - ˆ - 4 ˆ ˆ L ˆ A < < ɛ F ɛ < < A ˆ F ẹ q q ˆ - - q - - T T [ T - q q T B ˆ ˆ ˆ B ˆ ˆ ] > ˆ ι ; ˆ -q T G AT T < V < 8 < < A G F ˆ - A T - - V 8 - ˆ ˆ ˆ T [ ˆ T ˆ ˆ ˆ B ] > ˆ ; ˆ T ˆ

24 64 M M 64 M - 6 I L < < ɛ 6 I L B B 6 I L L L < < L [ ˆ < / A ˆ L A V B L V T ˆ ˆ V S ˆ L S V T S S < A ˆ [] S L G [ ] T - V q - ˆ - V T ι N T ˆ S ν ν [ ] E L I T G T ˆ ˆ [ ] q R q A S ν ν N T ν A S 9 - q- ˆ ν ˆ E I T ν G ι ˆ A R q A ˆ < < < < F T G L q [ ] 9 L G [ ] q q A F T q G L N [ ] E I T G [ ] R q A ˆ q ˆ A 9 q < < < < G L [ ˆ ]

25 G S S 6 6 G S [ ] ; W W [ ] ; 9 W +ɛ ɛ ˆ +ɛ ɛ S [ S + ι ˆ ι T + ˆ S ] -q ν G S R ST ˆ G R T ν T T ν W F S T W-F L [ ] ˆ L ḍ R T R R A T : > < A : H WF : Z π : T ˆ ι H Z/ L [ ] T δ + δ δ π δ δ [ ] G - A T V 8 G AT V 8 > < A : [ H Z / ] T q q + ˆ

26 66 M M 66 G M G ; T T G M ; T S M S Eq: M 6 S δ +δ +δ + δ 6 - ˆ H Hö - - ˆ ˆ + ˆ I T q - H H q H ; q 6 L L 8 8 I I L L ˆ 7 T δ +δ δ [ ˆ A ˆ A ι ι ˆ q- L H 7 O ˆ ˆ ˆ δ ˆ ] L 7 O + δ + δ δ - ; - δ + δ 7 Eq: L - 8 I + δ L + δ 7 δ [ ˆ q + W - ˆ ˆ 7 - ˆ ˆ ˆ H q +δ + δ δ B W A 7 +δ + δ L 7 O H ˆ B - ˆ - ˆ ˆ ˆ ˆ ˆ ˆ ˆ ˆ + 7 ˆ + ˆ q W 7 ˆ ˆ ˆ ˆ + ˆ ˆ ˆ

27 G S S T G q q S A A T - q A ˆ - - q q T G - q - -T G- -q ˆ R q T q - T q L - - G q L ν 4 A < < R T ν A - - q N G - - ˆ R T [ ν - : L T 4 N G - q q R T : T q q - S L q 4 ν - S Eq: < - < - ν ν N B 6 G Eq 6 [ ] q G R L 8 T Eq 8 [ ] [ ˆ ι ι q B 6 G : Eq 6 T 4 L 8 Eq 8 +δν δ ν δ +δ δν δ q- δ L 7 H ν ν T Gα - q L 7 H S L q q q [ ] α T G ˆ q q q ˆ ˆ ˆ B 6 G 6 [ ] ˆ L 8 Eq 8 [ ] ˆ [ + + ˆ ˆ ˆ ] L 7 H

28 68 M M F 68 M q G F q S T 4 6 G S T 4 6 B B Gα [ S 4 G S T α 6 ˆ T G ˆ ˆ S ˆ 4 T S ˆ G S B ˆ S H ö T S G H G Z S T S G q - S H - S 4 S - α N - - ˆ - Z q T q G S T S α T N - - α G S H q - - S - - ˆ ˆ - - q - - ˆ ˆ - I α - Z - - T β - G q ˆ q - ˆ β - α - β Iα - - α - - Eq: + < α α ˆ α β N β α H - G S α q α q H 4 [ 4 ] I q G - S T q G 4 4 I ˆ G G S G AT V 8 4 ˆ G G S G A T V 8 4 q ˆ + < H G S q 4 [ 4 ] I

29 6 M M 6 [ M ] H T H T - H S - 4 G 4 44 G [ [ ] 6 ] H T H H T T S S W G H S S - 4 I 4 I 7 4 [ M 7 ] M G R R 44 H H MIT 4 MIT 4 G AT [ 6 T ] V V 8 4 H 8 T S 4 W G 4 I [ 7 ] M R H MIT 4 G A T V 8 4

K e sub x e sub n s i sub o o f K.. w ich i sub s.. u ra to the power of m i sub fi ed.. a sub t to the power of a

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