KY B E RN E T I K A emdash V O L U M E 4 9 open parenthesis closing parenthesis.. N U M B E R.. 3 P A G E S endash 4 0 3

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1 KY B E R E I K V O L U M E 4 9 U M B E R E 4 KY B E R E I K V O L U M E 4 9 U M B E R E [ OE y 4 OI OLUIO ] OBIED KY B E RFROM E I K BE V O LROXIMIO U M E 4 9 ROBLEM U M B E R E 9 4 FOR COOERIVE ME z OE OI OLUIO I OE OBIED - OI y FROM OLUIO y BE ROXIMIO ROBLEM OBIED FROM BE ROXIMIO ROBLEM FOR FOR COOERIVE U y ME z - - U y R Iz - y K U -y -y - - U - I y H y U y- R K U I y - -y U y y H y Hy y- - K y I z - - ˆ y k - -y Hy U y Hy y y Ky : y - Hy H z y C : 9 IRODUCIO W k I y Hy y y y U y y - y- Ky : I y Hy C y : 9 - y Hy - O IRODUCIO - y- - R ˆ R I - y y - U - - k y - W y y y y z U k y y O y I Hy y - - y- E y k W U y- - y y H Ky : y IC : 9 y E U y y H IRODUCIO I y U y y O y y y W y y I y U y H ˆ

2 96 - I y 96 y y - I U y y y - M k I y y y U -U C M k k [ 6 ] M R -z k [ 6 k ] K - - k k K C [ - ] R - z [78 ] K - [ ] K C - [ - ] R y- z [ 7 8 K [ ] K -y - - y H y-y H yc C - - -y I y y z H y - H - y k 4 y k - y I y - R R - y z y z y H y - H y [ 4 ] - - H - - y - k H -y y - y z y-y - z - - y I- - - k y H y y I 4 - y - y - - I z - y - I I - H -I y -y y I COOERIVE ME D HRYI DIV I-D ED L y z H H y - - y- y y y [ 4 ] - y COOERIVE ME - D HRYI y UDIV -y I D ED - - L y : y R - y - y - z y y U y ˆ : W R W R R W W k k k H W y y ˆ y W - z y I R I 4 α R I - - α α ˆ - H y y y ˆ COOERIVE ME D HRYI DIV ID ED L y y U y : ˆ R

3 B 9 B y y -y 9 - y y y C - C - - E B - 9 y- y y L y - L - - [ Hy - - M - - ] D M L E - E L y y I [ ˆ : ] C C Hy M ö - C y D M ö - ˆ - Hy L D M - L [ ˆ L I I - - : ] I ˆ ˆ y y D DR R D - - D : y [ ˆ + U y- + α α D ˆ ] - - I y y y y - [ ˆ - D+ D ṿ H ˆ D + ˆ ˆ - - ˆ - - y ˆ - U y k y ] D - k k y I ˆ ˆ - C C y y ˆ k [] ˆ ˆ ˆ y ˆ y y D D y D U y D + ˆ y

4 98 - I 98 OE y OI OLUIO FOR COOERIVE I ME I y OE OI OLUIO FOR COOERIVE ME 98 y I - I OE - OI OLUIO FOR COOERIVE ME I y φ R H - - R ˆ - - y φ φ φ φ φ L H y L y φ φ - y - H - - C - y C - k - y - - y y ϕ - [ - ˆ ˆ M y - ϕ ] - - y - - k y y y - y D ϕ Dk L V - k - - y - [ Hy y L M y L - ] y W y Hy Hy y y - - k - - y y y y- D - Dk L V [ ] y L k - -y L [ Hy y j j - ˆ D ] φ - R - M k W W y W y HyHy y y φ E y y W L π ˆ - y ˆ k π y ˆ L π j πj π [ ] D π R π y D Dk π π L π V [ W W y π E W Hy y [ ˆ ˆ ] ˆ W y Hy y ˆ ˆ ˆ ˆ ˆ ˆ y y k L

5 B 9 I B y I Dk k k I - B - y - 9 I y y Dk [ ] IC - - y - π Dk [ ] I π y ˆ 4 Dk k k H y - - y y π π - * L * - - ˆ ˆ π π L 4 OE y OI OLUIO MIIMUM ORM OLU I-O I ˆ ˆ 4 Dk - [ ] - H - y y - K φ k y k y W y y M 4 k 6 k I - Dk [ ] H y y ˆ R : y H y : ˆ 4 OE - OI OLUIO MIIMUM ORM OLU I O KI k k K - [ - ˆ [ ] ˆ W z y y - R z- k 7 8 k ] - z M [ 6 ] I φ R : φ H : - E: -z j k 4 OE OI OLUIO MIIMUM ORM OLU IO K [ ] - k z I R z [ 7 8 ] y H k z k - K - I [ y ] : - - * - * - zj W y y - y H - - I L - Ey M [ : 6 ] I R ˆ L Ly y : R I H y I ˆ : - 4 K Ey k ˆ k F - - Lyα + β - α + β αβ R K [ ] y - ˆ y I y I 4 4 z K [ K ] F R k z k L [ 7 -y y - y z y y K [ ] L y - y H z j - H - - ˆ -? ˆ H H? H ˆ : ˆ ˆ y [ E y L y + R ]

6 4 - I 4 MIIMUM ORM OLUIO I HE DI I V I-D ED - CE W MIIMUM ORM OLUIO - I K HE DI - V - ID ED CE L -z k - k L j 4 W I MIIMUM ORM OLUIO K I HE DI V I D ED W y CE y- [ W z K j y ] - - z y j W y H j- - - > W y y > y - y > y y H j I - y- - y H ˆ j I y - ˆ - - I z R R - - y z z k E: j - - H - - z ˆ k j - > -z - - H j z y y : y - z H I j y - * z : - H j I - R R > * - W y k y - - W L k H y ˆ k ˆ - y L - D z - - -y - j D y y : H D D H - - y y I D D H y y > y y ˆ z z y y L z j j y y ˆ z - j j L j j j - j W y L L 4 j j ˆ y K - y- - - j j [ K ˆ y ˆ ˆ ˆ ] D ˆ y ˆ

7 B 4 B F y F - - B y 4 F L : y y y y y y L : - - R R y - - L L y : - y C y - C - - C - y C - ˆ L - y W R I R R R D I y - R - y y - ˆ > > D y- W y R y R z - y R W y z L Ry z Dz y - ˆ I y - z Dz Wz - D H y - [ I ˆ - y I R - ] R Dy W R I y R > > - D y W H [ y y y R y z y z Dz z W y y z Ry + z Dz > y I y ] z Dz > z - D y O H y I z z y Dz - D R α R α - α k y W α > W D - y- R k D y - H y- - [ y I R ˆ R D y ] y y z + z Dz I y R y ˆ y y O D z + z Dz W D k ˆ D y k y y z D y y R ˆ W > y ˆ y z ˆ Ry + z ˆ Dz > y ˆ z ˆ Dz > D y I ˆ ˆ ˆ ˆ y > R ˆ H

8 4 - I 4 y I k y k 4 I y k [ ˆ ˆ ˆ ˆ ˆ - ˆ ˆ ˆ ˆ ˆ - ˆ ˆ - ˆ ˆ ˆ ˆ - ˆ ˆ ˆ ˆ ˆ ˆ ˆ ˆ ˆ ˆ ˆ ˆ ˆ ˆ ˆ ˆ ˆ ˆ 4 ˆ ˆ H y y φ y L y y y - H - y y- - y y y H y y L - y - -y + λ - L - y- + λ - y y y ˆ ˆ y - - L y - L - - L L 4 λ L y L y y * y - * - [ - ˆ + L Hy L y φ - Cy I Hy ] y y - Cy W I y - - * Cy 6 - I y π π - ˆ L W - y ˆ ˆ ˆ ˆ ˆ ˆ ˆ ˆ Cy 6 ˆ I π y - - ˆ ˆ - - Cy 7 I ˆ y [ Cy 7 I y - - ˆ - - ˆ - - ˆ - - ] ϕ Hy y ˆ C y I y ˆ W C y 6 I y ˆ ˆ C y 7 I y

9 B 4 6 B COCLUIO 4 E y COCLUIO B K - H 4 E - 6 COCLUIO - I - - E y H y y- ˆ - - y K H CKOWLEDEME K H I k k y J - y y - - H y y y y R y 648 R J CKOWLEDEME RE F E RE C E y k k y H y y J y y - - k R k 648 C J R L R J CKOWLEDEME I J y RE F E7 RE C E k k J Dk L V V C - z k - k y Hy y M M - : O R 64 6 [ ] C J J R L y C 6 R k 648 k M : k y z y-z I J y Fzz [ ] R J Dk J L V V C z y k 4 k J C Hy : - RE Hy F E REy C E M M : O R I [ ] M : k z y z E R [ 4 k Fzz ] k K K H : M - y I J [ 4 ] J C Hy : y k I [ 6 ] k C D J M R D L : V - - I H E R [ ] K K H : M y E - - V R - - : H I E J I J y y z- 6 [ 6 ] D M D : V y I k 7 k L M Rz F V F M Z z- H - [ ] J Dk L V V y z - E y V E - R : B - 4 y : H 998 E 9 k Hy 8 y k L M Rz M z F 6 V : O F M R [ 7 ] L M Rz F V F M Z z - - U [ O ] 6 M 998 : k 9 8 z z yz y D E E : B E I 4 - y Fzz E [ 8 ] L M Rz F V F M Z z E Ok Uy Ok 6 y-z 87 J - y : y k y j U O z [ 4 ] D J C E Hy : E I E E Ok Uy Ok 6y I z87 J - k - j E R [ ] K K H : M I J y [ 6 ] D M D : V y I H y E V R : H E z 6 [ 7 ] L M Rz F V F M Z z

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