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- Reynold Walters
- 6 years ago
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1 M M R M q q D O : q 7 8 q q q M q x- q M M M 9 R R D O : 78 / x q D MO : M / D q P F x z M q M q D T P - z P G S F q q q q q q q D q q PZ w - z q - P q q q w q q q w q q w z q - w P w q w w - w w T P - z w P w wg DS T Z w w w w w w w L M P 8 U T P z P q S w w D T S Z ˆ U L M 8 U S U w w w w w - P q R P q R 9 w - ˆ ˆ ˆ w P ˆ Tw - w - - w - w w ˆ ˆ T ˆ ˆ w D w T w ˆ ˆ ˆ ˆ ˆ ˆ L M 8 7 U q - z q - w w P q D q D - R D q w z D - - P - q - P q D D w - R - D - - ˆ ˆ D - x D P q q R P q - - w x -x - ˆ w w - - ˆ F ˆ ˆ ˆ - T - q q w w - z x ww F - q w w Kw - w - z - - P - z q q w - q - - z Kw MSC : PM q C 9 C q D V P q D z -z q R - q D - - q w MSC : M D 9 C - 9 C q V - z w q Hw P q q - w q x w x w Hw - w D P x - z - w P : w : z z C P - * : w - 9 : z w - w x C 9 w w q F w z ˆ q Kw
2 G S Z x w w w T P P P q q x T w P q - w w F w P q x S P q - w w T x P w w w w w z z : T T / w w T P F x P ww w z C M H P RM R M S D z - P w M M - M M z P z MP H w x x T w w FMM H w P q w P P q z U U w U P q V q w w x w w x O x T G - S J w w z C H R M M T w D x x T j q w x z x w w U H D J x q T x w P S w w x w - P
3 G S Z x G S Z w T w x - w P q w-w - T P P q ww - T T P - T - P P q P q w w - - x-- - T- - - w-p - - q x w T q P P qq -w- --w F x w z T q wp T x T w q q z x P q x S w w w S F ˆ P q w x w - P - q w T x P - -w-w-w-w-- --z--z T - - : x -T -T P - wwww zz -- -w-w---- ˆ : T T T - q / ww F x P T P q -w-w-w- w --z M-H- w P----R M---R -- M---S --- q F - D - x - q www ˆ z z - C MH ˆ P R MR M D q z P w- w M M M M M M q M - -z z P P w M P q z ˆ M P H w x x T T - -w-- w ---- w FMM H w q H - -w - P - q -- q q - - q w w - - q P P q z P P q U U z w U U U q P q V w U q w w P - q - - w - - q w w w x q O x q w x w T x G S O J q T G S w-w- ww z-- -- z C -H R - M- M-T - C w H M MT D q w x x x j q T w- w x- x z x z - w-w ww U H D q
4 D P - z P T x w z T M q w T q H w - - P q w x T j P q - T w w P q S w x q P D C - F - w CFL T - w F - P q w - w z T S w w w z P q P q T P q w z P z T w z w x P q - x H - x C w x C q x w z P x q P q O - ; z z P q w P q z - z S w z H w z P w T w P q x w F w S M
5 D P z D q P q q q - P T P - z P q q x - w - q : R R C P T-M w q q q T q T D q- w - q w Γw w q q x R q q w Ω q z Ω T w q R Ω Ω Ω Ω Γ Ω TM D w D ˆ P P q C - - D - - q w w q q w q q - T P q ˆ q w x T j D P q C T H w w w q S w P q ---x w w q w P D-C F T L- j - -w - CFL T q w F w P w q q q S w x z P DC F T S L w CFL T w - - w - w q F w w z- - - P- - - w - z - q S w z P w q - q- w q w w q P q - - T - D P q w q -T w w z - - P q q - w --w - - z - -T P q q w w x w - - q P q - q z - P x H q ˆ ˆ C q w q x P q q q T q q q D C q x P q - w w- - - z P - - x-q w T - - ˆ P q O ˆ z P q w T z z P q w P q
6 G S Z : G S Z G S Z : - w : κ ρ w ρ w q: q w T j q j j ρ π j q j δ j T T w T C O w ˆ T C O q j j Ω Ω q j q j j j j j z H H κ - D - H D w H w q: T - w w w T O C O κ w O q q j T w T 98 K j w - Ω w w j T w T K q w - κ Å z P q- w - H D H T 66/98 -w-w- ] -- q P - q -T w - w --T - - ] w - - T q ˆ T ˆ T // 9 8 j T 98 K j T 98 K ] P P O w : q: w w w T 98 w F ˆ C O x- - - q- x F - Ωx T q T x 66 / 9 8 ] C O q Ω q: P q 6 q ˆ T q w ww ] T - q κ / 6 -x q w -- T C q- w - ˆ q xq w- - w- - - x C q q w q / ww / x 9 8 j q w Ω j T 98 C K G ] q: O w j Γ 7 q q C G P q C G w q q : ]Γ C G ]Γ w 7 w w ]Γ w w w P w w q ˆ T P - q P T T P -- w-- T w - F P q q P q w O w- -- q - T x q - q O κ ρ 8 ˆ T ˆ T w w ˆ z P q / 8 6 O T q w w z -P -- x q ˆ - -q P q w q O- - - q w q - - q -w w q w w w x - - O O w j
7 D P - z wg x P q w w S P q z C Ω w q x z T w w j x j z x j z T - w z P q x z T z j j Q x j z κ j x jz j x j z j x j z j w Q x j z π T qx j z qx x j z w ρw q z L T w T q z z j T w w w x jz x w j z w / Γ x w j z Ω x j z x q x z w j j T - Γ w j x x C q
8 D P z -H - D w-g q q x q q - T x - P q x T x w H - wg w q- w w w q P q -- w w-w x w T x w q w w - - w w P- - q q ˆ q O T ˆ w w ww w- - -S P - - q- w ˆ P q ˆ q z - z P C C O q w q ˆ ˆ w P x z q w T w P q w j w q j z w S x P j q z ˆ q q T w z P - q x z q T z z j w j C w C D Q x j O C D - x w z j D T w w 9 w L C D ˆ w q j x x j z j z j w j x j x z j z j T j w w L x q j w w q z q j x w j w x j w z z T z w j w L ˆ x j j z w j D j Q x w j j z w D ˆ ˆ j z j w 9 j w j w D q ˆ x w Q x j z j z ˆ j T q x ˆ j j q x x j z z ˆ x j j ˆ w j x j ˆ w- - z ˆ j ˆ j w x - w j ˆ L ˆ j j w x j z ˆ j j x - - z ˆ ˆ q ˆ j z z
9 G S Z w x z x z L U j x j z w w U U w P q κ ρ w P q x w w κ w w U ] ρ w V ] U V F z q κ x κ x κ κ w w T ww q T w w q F ; w D T R q z w q j j δ x δ w δx δ δ z x z δ x j δ j δ z j x j w x j x j T D R q δ x j δ δ z] δ j δ z j w M
10 G S Z G w S Z x z x z w L U w x T z w x x j j j z w L w w U ˆ j U w x j j C D j - w δ xδ w - δ-- δ z - - δxδ - - z - - j P - -- q w T S D U ˆ R w U ˆ -wz w P q w - x-- D w q D q w w - w D ˆ w w w U w T P q q q w w V w ˆ w q q U w q V w -F z w - - q- q: w w - w P q C D x w - w C D x - w - w C D w ˆ w w w q w w ˆ U ˆ w T ] -w- --w - -q T C D - w-q - - ˆ w q w V ˆ F ˆ w C D w ] - D- T- - - R q U - ˆ z w- -- V ˆ q- - - F - z - q: q j w j w C D w w z w j ˆ w C D Q x ˆ j x z ˆ ˆ w x x w w w ˆ w D w ˆ x D z L x w j w w x -w w z w w ˆ j ˆ j T w x w- w j w z q j w T j w q D L w w j w w wq j w w q z ˆ ˆ ; D j w w D w T R x w z z q w j q w L z w j w w x j z j ˆ w j j w j x D j z ˆ x
11 D P - z w x w κ w w U ] 6 ρ w V ] 7 w κ w w V ] 8 U S w F ; F ; w F w q T q zc δx δ δ z] j δx δ 9 x z D δx j δx δ δ z] δ j δ z j Swz T j j w z T δx δ δ z] j δ xδ δδ z δxδ z j w q C - w z w w T w D xt D x x w S - F w w w - - T - - w - w P q
12 D P z D q q q q j D j w- δ - x - δ - -- δ z w j P q Q x - κ x-- q j q w w w - w w Dq w - R D U D q w q z q q z - q w 6 P q q δ z ] j Q x j z w w V w w q x q 7 δ w- j - j w w - w w V w w q w ˆ U ˆ δ z q 8 j U w - w j ] S w w F w C D ˆ q w - V ˆ w ˆ w - w C D ] w F - -w - q - D w - w - - D T-- - w q q w ˆ V ˆ z - -C w - ] q: 9 q C D x w U ˆ w z ˆ w j w q C D x w S w w z ˆ F q ˆ ; D j w ˆ C F ˆ x ˆ ; D j z w F T x z w D q ] C D x w j w * q C D w D w z w ˆ j T w C D Q j z z q: C ˆ C D w j w * * j w * w j w w C D z w j D w ˆ x j ˆ w ] * * C ˆ D z w j j w w ˆ x ˆ ˆ S-w ˆ z j D j z T j w * w * * w- -z Rw T Rw q T C D x x w z w z w q D j w q C D x w z w q j D w ˆ C D x Q ˆ x j j z q: D ˆ C w ˆ x ˆ w z ] w ˆ j z w D x w Q x z w z j w D j w ˆ C j D w 8 x ˆ j w z w D ˆ j w j ˆ j w - ˆ - z ˆ w q j ˆ j D w- -z ˆ z w - - ˆ - - -w - - -w - -- j -T w D -- w -x T Sw - - z - D w * w x
13 G S Z G S S Z G S Z S S - q S C S - - C P q S q C D x w P q w z w q j w δx δ δ z q ] j P q C D δx x δ δ z ] j w z w Q x q j κ j D ˆ x ˆ j w C D w Q x ] j ˆ z C j D - D D w z ˆ j x ˆ w ˆ ˆ - j D j z D δ -w z - ] - j Q x j -D z z ˆ j w δ C j D x j w D D j w * q C D w w z w δ j w C D Q z j j j z C D - - D j - ˆ w x x ˆ q: - j ] T C D D ˆ z T ˆ z ] ˆ j z w * * j w w * C D D - Q x w w x j z w D w H w x ˆ C D z j w x - j w w w x j w w x * * C D z C j w w w D ˆ ˆ x x j ˆ j P q w - ˆ ˆ j - q T P- q w z - w D w z w ˆ z Tw ˆ - j w w -- --w -- ˆ j w x C D ˆ q z w ˆ j HT w x w ˆ w x T w w w x x w w C x T w C T w T w-- w T w ] - - q w - -x T P q P q z q - q - ˆ w- - w P - q- w- ˆ - - w w w H w w w x Tw w P q w w x w w w x C w q C w z T w w F w D 66 w w 7 -T 76 QM G Hz CPU 6 G w ˆ w x w F P q P q C w z T w q P T q w ˆ T w q w w T q w w - - -T - - w q Tw P q εr C q ε R >< R R 6 T w w πδ < R ρ q T κ > R w 7 ε w w C 6 x w T w z w q T w w T T D 66 w 7 T 76 QM G Hz CPU 6 G q w F P q
14 D P - z T T x D - D - D - D D - j w H T D H D - D D D - D D w ε / R ww q q ww w q q q - T w q q w z z R Å w T 8 T κ C x - F w w P q w x w w H π 6 x π 6 π 6 z 8 ε x z w H j w xz ] ] ] H x - - w x w x w T - x q z x x z F w T H w x - x z w T - w x - S
15 D P z T T D q x - q - - q D q D w x T D -D D w D T T q T w w x P q j - - w w - --H D : -D D q D w D D P q q j ˆ - L H T D q x j L x H - D D D D j D - D- 9 6 ] q w ] w R - - -w-w q q -w-w- H q -- - w D - - q - --q D D - D D q- - q T ] -w q q w 6 q q q q q 7 q z q q q q 6 q q 6 q q q 7 q q q q q 6 q z q 6 q q q 7 q q q q q q q 9 q q q q 6 q T 8 T - ˆ 6 9 C x F w ] - - w P- - - q- w w- -x w w / q ww q q ww w H 6 x q q 6 6 z - x w w z w w w H j q q q w- - - w x z q z q q q w q q q T H x 8 T q C w x w x x w T P q ˆ x q z x w x ˆ w w x C D z - -F w - - H - T x w z ˆ z ˆ C 8 D x
16 G S Z T S G S Z P q : C T G S S Z T S P q w P q : D : / ˆ / - ] L L L L 8 q ] L L L L L q q L q q L L 8 -q ] F S P q L : : C D w q 8 q 8 q w 8 9 q q 6 F q S 89 q 8 q 88 P q q L : 99 R : L L q ; q 66 /; / ; q q q - w ; q -w w -w w T ; - L 6 6 L w q 68 q q 7 q 7 T w w T / ] q T C G x - z Γ x H w w x z F S H w w x - L - ; - L D - L -w - -D - ˆ / w ; T D / T x ; x z P q q w z T z P q z ; T w w - ; L w w- - F q F w q T T w w ˆ w T x T - T L L V D w q T w x T G L L V x z S q H w w x z L w w L T - w T w D w T - - z -S P - - q - - w w z- T x - - w T - T w w w q T z q T w z w x q F x x - C L - D x L T w 8 C D w q T z z S ˆ z ˆ F x C x w 8 q T D z D
17 D P z T T D q w - q q q P q D P - z - w- - T P q z w T q D T ˆ q z - w C D L L D L L ] w w q L D L L L w w x- 7 ] w w -z 6-7 w T D L q q L q q - S w8-6 - q q L q T- - 6 w x 7 C 7 D D 78 8-D w - w 8 x z ] x PD -D LP D D 8 q T S 6 / j q ; T 7 ; ; w q /6 9 D D q /8 x q q q 7 68 w 9 8 q -z q w x PD 9 D# LP 7 D 7 D 7 7 q x q x 8 q q 98 6 q 7 q w 9 88 q j q ] q z x T 9 q S q x ; T 7 ; q ; D ˆ / 8 7 D q D ˆ 9 / 8 8 x x ] w 88 6 x PD D - # - q q 7 7 LP 8 q q 6-6 D q w ] w P q q -- w j q 9 q P q 7 8 q 6-8 S q w q 76 q q q 8 98 S w w w z q P q q 898 q w w 6 78 wf z w F w x 9 q q x 68 9 z 9 6 q q 79 q q q 78 q q x q 8 q q q 88 q q q 9 q q q q q 8 q
18 G S Z F CPU T q x D G G G O q w / / q T T 98 K ] q ˆ ˆ D G j Q j z x j z x z w w P q ˆ q D q D q F 8 T w T q j P q q T T T q q q D j q q F w q x D w L z P q LP T w w w T q w w F ˆ w q P D D q z P T w P w xp q F q q CPU F w ˆ P ˆ F w w P G S Z F CPU P q T w w x C D G G G C O w T w T 98 K - - q w - w q: C D G j x j z j z j z w w P- - q w D - D F 8 T M w - 7 T q j w P q T - - -T - - T C D j q F w x x C D z z q w L z P q LP z j T LP T -w - - w P q -w - -T F- - w w F- w w - P - - D D z P T w w P CPU -w x-p q CPU F w- - - w P w F w w P F G S Z F CPU P q T w w x G G G Ω ρφ φ w φ φ / / T w 9 8 j T 98 K ] ρ G j Qx j z φx w w P q x D D F 8 T M w κ 7 T q j w P q T T T j q F w x x z T z q w O L z P q LP z j T LP T w w P q w T F w w F w P D D z P T w w P CPU w x P q F CPU F w P F w w P z F
19 D q q q q F S L L z P q ; R : P q w q P q T q q w x q q w z q M q C T q q P z q q q q q q q q D H w q x q ˆ q q T q q q q q q w D D R q D z q O q q T q T z q q T q q D q w q q q q q q q q D q w q q x q ˆ D w w q q q T q q q q q q q q S q q q T q q D x q q x q w D q q x q M q w q q q w q q q q q w P q z q P z w D P z F S - - L - : L z P R - P w - P w T w x w z - M C T - P z q - w w - - q - - P T - w -D -H- w x - w T w D R - D z - O - - z T D P q w j - - D w x w D - w w T S - T - D x x - C D x - M - w w - - P z - P T z w - - D P - z F S L :L z P ; R : P w P w w T w x w z M C T P - z q - w w q - P T w D H w x T w D D R D z O T T z T D P q w j - D w x - D w w T - S T D x x w x M w w w w P - z P T z w
20 G S Z w T G w S F DMS 9 S F T Z w S F R q ] q q D S S q J q M J H q M C q : q q q P q ] q q q q w q C q O q S 7 & & ] q q q Q q D C q q z w S M J q S C ˆ 6 7 ] q q S q J P M w q O q C q q q P ] q P Z C q Y q S G q S Z G q q M q ] q P q G S Z q q q ] H q M O F q H X Z F P q q J q P C q q ] H q M q F q H q q q q P q z q J C C q q 9 ] Q q C q M J q H q q R L q P P z q C q T q C 6 ] D C Z C C J C H G q w q C q q ] q J H C C L J K R q C O q q S 8 8 z q ] Z q C q q G q q : q J P ] q D q q q R q z q D q q q q q J q M H F F w q ] H q G S Y G q T 7 q D 6 ] H q G q R K T q z q J q q 6 ] H q G q P ˆ C ˆ G S Z w T G w S F DMS 9 7 U S F T Z w S F DMS 679 R q q D S S J - M J - M C : P - - S 98 7 q q - : - w C - O S 7 C C q q Q D C - - z w S M J S C w 6 7 q q S J P M w O x S q - C P q q P Z C Y S - - S Z G - - M q 6 q P G S- Z J C C q 7 q H M O F H F - P - q - J P C q 8 q H M F H - P z q J C - C q 9 q Q C M J H R L - P -z C T C 6 q q D C Z C C J- C - G M P : - w - - C q q J H C C L J - R - C O S z q q Z C G - - : - - J P q q D R -z D D - q - J - M - H F F w q q H G S Y G - T P C 7 D 6 q q H G R K T P - z - J- q 6 q H G P - w - - w - C w - P w- - -w- --w q 7 q -- H G F GP U - P - z - P C q 8 q M J H M P z q - - P D U C US 99 q 9 q M J H F S P q - : D - C - C q q D R C G S Z w T G w S F DMS U w F S F T Z w S F DMS R ] D S S J M J H M C : P S ] : P - w C O S 7 ] Q D C - z w S M J S C 67 6 ] S J P M w O - x S q C P ] P Z C Y S G S Z G M ] P G S Z M J C C ] H M O F H X Z F P - q J P C ] H M F H P - z q J C C 9-9 ] Q C M J H R L P P - z C T C 6 - ] D C Z C C J C H G G M P : w J C ] J H C C L J K R C O S 88 z ] Z C G D : J P ] D R z D D - q J M H F F w ] H G S Y G T P C 7 D 6 ] H G R K T - P - z J 6 ] H G P w C P w w w w 7] H G F GP U - P - z P C ] M J H M P - z q P D U C US 99 9 ] M J H F S P - q : D C C ] D R C : C P z q C P C 99 8 ] J K P H T J C P
21 D P z q D q q J q G K w T q q D P - z w - ] J G K w T w Zw C P w ] q J G q Zw K w T C P q 79 q q L F M R - ] L F M R : : - - J M Zw q J C M P ] Z L X L C J F H J M C O q q Z L X L C J F- ] q L q q F M R P J M C O q S P J q S M 6 97 ] R L7 9 L D M K G P - z 9 J C - q q R L L D M K G ] 6 ] Z q L M L DX L C J J F M C q S H q - z 9 - J J M P - P z q C C q 99 - C S 7 ] Z H Q Z L L T T q 6 q L M D - ] R P L -q L zd M q K G C q P M M C - S P - z q z 9 6 C C J 99 ] F C M R q q R q 7 q Z H Q Z L L - -T T 9 ] R x H x P -z q - 6 ] L P M - zd M q C - M 6 J S J P C 6 7 q 8 q F M R P C ] S C S C 99 S q w M S R ] S - K T P J O q 9 q R -- x q ] Z x - H q P Q - Z q L - L J C C T 68 T P z ] z S M q J M q - S - P - z J P C - 6 q 7 q C J C M q S 7 6 ] J C S w F q S 7 S q q S S C S - w - ] G S 8 D ] q F M q R M 7 6 ] R Y J P M G K L T H q q S K T P -J - 9 ] q R q q M P x G PU S w q C - P J C x C C 8 7 w - M 6 q ] S q Y S Z q G S L q J - M J q 8 P 6 q z 7 J C P ] S Z P - J C - S ] S q J q S M C S 796 w q 9 8 q ] S Z M O q S D J - C S w F - J C q - S - 7 SM ] 9 q ] Sq Z S J O q X L G K T Y T Z D P Q O J O M 7 q - 6 P- C q P q q q J q C R Y C J- P ˆ M L ] Y C Z S Z M F G H - T H - M q w M G PU S w C P C 8 J C 7 ] P q S 6 J q M S q 6 q S Y S Z G- - L 8 q - J C q P - 6 q 7 7 q S 7 7 q q S Z P - J ] M q J C q S - w 7 F q S 8 q S Z 7 SM O D - J C ] G q q D q q 9 q S q Z M J O 7 X q L - 6 Y T Z Q O - ] R q Y J - P C M P G K 996 T H M q q q q G PU Y S C Z q S Z w M C q F G- P H M 6 q ] S q - w Y q S q Z G J C P L q J C P ] S Z q P q J q M ] S Z O q D q J q C
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