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->> endobj -907 0 obj << -/Names [(equation.4.18d) 761 0 R (equation.4.2) 689 0 R (equation.4.3) 691 0 R (equation.4.3a) 693 0 R (equation.4.3b) 694 0 R (equation.4.3c) 695 0 R] -/Limits [(equation.4.18d) (equation.4.3c)] ->> endobj -908 0 obj << -/Names [(equation.4.4) 711 0 R (equation.4.4a) 712 0 R (equation.4.4b) 713 0 R (equation.4.5) 714 0 R (equation.4.6) 716 0 R (equation.4.6a) 717 0 R] -/Limits [(equation.4.4) (equation.4.6a)] ->> endobj -909 0 obj << -/Names [(equation.4.6b) 718 0 R (equation.4.6c) 720 0 R (equation.4.6d) 721 0 R (equation.4.6e) 722 0 R (equation.4.7) 723 0 R (equation.4.8) 728 0 R] -/Limits [(equation.4.6b) (equation.4.8)] ->> endobj -910 0 obj << -/Names [(equation.4.8a) 729 0 R (equation.4.8b) 730 0 R (equation.4.9) 731 0 R (equation.5.1) 774 0 R (equation.5.10) 801 0 R (equation.5.11) 802 0 R] -/Limits [(equation.4.8a) (equation.5.11)] ->> endobj -911 0 obj << -/Names [(equation.5.12) 811 0 R (equation.5.12a) 812 0 R (equation.5.12b) 813 0 R (equation.5.13) 819 0 R (equation.5.14) 820 0 R (equation.5.14a) 821 0 R] -/Limits [(equation.5.12) (equation.5.14a)] ->> endobj -912 0 obj << -/Names [(equation.5.14b) 822 0 R (equation.5.15) 823 0 R (equation.5.2) 775 0 R (equation.5.3) 776 0 R (equation.5.4) 781 0 R (equation.5.4a) 782 0 R] -/Limits [(equation.5.14b) (equation.5.4a)] ->> endobj -913 0 obj << -/Names [(equation.5.4b) 783 0 R (equation.5.4c) 784 0 R (equation.5.5) 785 0 R (equation.5.5a) 786 0 R (equation.5.5b) 787 0 R (equation.5.5c) 788 0 R] -/Limits [(equation.5.4b) (equation.5.5c)] ->> endobj -914 0 obj << -/Names [(equation.5.6) 789 0 R (equation.5.6a) 790 0 R (equation.5.6b) 791 0 R (equation.5.6c) 792 0 R (equation.5.7) 798 0 R (equation.5.8) 799 0 R] -/Limits [(equation.5.6) (equation.5.8)] ->> endobj -915 0 obj << -/Names [(equation.5.9) 800 0 R (equation.6.1) 829 0 R (equation.6.1a) 830 0 R (equation.6.1b) 831 0 R (equation.6.1c) 832 0 R (equation.6.2) 833 0 R] -/Limits [(equation.5.9) (equation.6.2)] ->> endobj 916 0 obj << -/Names [(equation.6.3) 834 0 R (equation.6.4) 839 0 R (equation.6.4a) 840 0 R (equation.6.4b) 841 0 R (equation.6.4c) 842 0 R (equation.6.4d) 843 0 R] -/Limits [(equation.6.3) (equation.6.4d)] +/Names [(equation.3.21) 691 0 R (equation.3.22) 692 0 R (equation.3.23) 697 0 R (equation.3.3) 642 0 R (equation.3.3a) 643 0 R (equation.3.3b) 644 0 R] +/Limits [(equation.3.21) (equation.3.3b)] >> endobj 917 0 obj << -/Names [(equation.6.4e) 844 0 R (equation.6.4f) 845 0 R (equation.6.4g) 846 0 R (page.0) 404 0 R (page.1) 416 0 R (page.10) 611 0 R] -/Limits [(equation.6.4e) (page.10)] +/Names [(equation.3.4) 645 0 R (equation.3.4a) 646 0 R (equation.3.4b) 647 0 R (equation.3.4c) 648 0 R (equation.3.5) 649 0 R (equation.3.6) 656 0 R] +/Limits [(equation.3.4) (equation.3.6)] >> endobj 918 0 obj << -/Names [(page.11) 620 0 R (page.12) 629 0 R (page.13) 645 0 R (page.14) 661 0 R (page.15) 676 0 R (page.16) 687 0 R] -/Limits [(page.11) (page.16)] +/Names [(equation.3.7) 657 0 R (equation.3.7a) 658 0 R (equation.3.7b) 659 0 R (equation.3.7c) 660 0 R (equation.3.8) 661 0 R (equation.3.9) 662 0 R] +/Limits [(equation.3.7) (equation.3.9)] >> endobj 919 0 obj << -/Names [(page.17) 710 0 R (page.18) 727 0 R (page.19) 740 0 R (page.2) 452 0 R (page.20) 749 0 R (page.21) 773 0 R] -/Limits [(page.17) (page.21)] +/Names [(equation.4.1) 702 0 R (equation.4.10) 747 0 R (equation.4.11) 748 0 R (equation.4.12) 755 0 R (equation.4.13) 756 0 R (equation.4.14) 757 0 R] +/Limits [(equation.4.1) (equation.4.14)] >> endobj 920 0 obj << -/Names [(page.22) 780 0 R (page.23) 797 0 R (page.24) 810 0 R (page.25) 818 0 R (page.26) 828 0 R (page.27) 838 0 R] -/Limits [(page.22) (page.27)] +/Names [(equation.4.15) 758 0 R (equation.4.16) 768 0 R (equation.4.17) 769 0 R (equation.4.18) 771 0 R (equation.4.18a) 772 0 R (equation.4.18b) 773 0 R] +/Limits [(equation.4.15) (equation.4.18b)] >> endobj 921 0 obj << -/Names [(page.3) 500 0 R (page.4) 535 0 R (page.5) 540 0 R (page.6) 553 0 R (page.7) 572 0 R (page.8) 583 0 R] -/Limits [(page.3) (page.8)] +/Names [(equation.4.18c) 774 0 R (equation.4.18d) 775 0 R (equation.4.2) 703 0 R (equation.4.3) 705 0 R (equation.4.3a) 707 0 R (equation.4.3b) 708 0 R] +/Limits [(equation.4.18c) (equation.4.3b)] >> endobj 922 0 obj << -/Names [(page.9) 603 0 R (section*.3) 454 0 R (section.1.1) 6 0 R (section.1.2) 18 0 R (section.1.3) 30 0 R (section.1.4) 46 0 R] -/Limits [(page.9) (section.1.4)] +/Names [(equation.4.3c) 709 0 R (equation.4.4) 726 0 R (equation.4.4a) 727 0 R (equation.4.4b) 728 0 R (equation.4.5) 729 0 R (equation.4.6) 731 0 R] +/Limits [(equation.4.3c) (equation.4.6)] >> endobj 923 0 obj << -/Names [(section.1.5) 50 0 R (section.1.6) 62 0 R (section.1.7) 74 0 R (section.2.1) 102 0 R (section.2.2) 114 0 R (section.3.1) 138 0 R] -/Limits [(section.1.5) (section.3.1)] +/Names [(equation.4.6a) 732 0 R (equation.4.6b) 733 0 R (equation.4.6c) 735 0 R (equation.4.6d) 736 0 R (equation.4.6e) 737 0 R (equation.4.7) 738 0 R] +/Limits [(equation.4.6a) (equation.4.7)] >> endobj 924 0 obj << -/Names [(section.3.2) 142 0 R (section.3.3) 154 0 R (section.3.4) 174 0 R (section.3.5) 186 0 R (section.3.6) 198 0 R (section.4.1) 230 0 R] -/Limits [(section.3.2) (section.4.1)] +/Names [(equation.4.8) 743 0 R (equation.4.8a) 744 0 R (equation.4.8b) 745 0 R (equation.4.9) 746 0 R (equation.5.1) 788 0 R (equation.5.10) 816 0 R] +/Limits [(equation.4.8) (equation.5.10)] >> endobj 925 0 obj << -/Names [(section.4.2) 258 0 R (section.4.3) 266 0 R (section.4.4) 282 0 R (section.5.1) 298 0 R (section.5.2) 326 0 R (section.5.3) 346 0 R] -/Limits [(section.4.2) (section.5.3)] +/Names [(equation.5.11) 817 0 R (equation.5.12) 826 0 R (equation.5.12a) 827 0 R (equation.5.12b) 828 0 R (equation.5.13) 833 0 R (equation.5.14) 834 0 R] +/Limits [(equation.5.11) (equation.5.14)] >> endobj 926 0 obj << -/Names [(section.6.1) 374 0 R (section.6.2) 386 0 R (subsection.1.1.1) 10 0 R (subsection.1.1.2) 14 0 R (subsection.1.2.1) 22 0 R (subsection.1.2.2) 26 0 R] -/Limits [(section.6.1) (subsection.1.2.2)] +/Names [(equation.5.14a) 835 0 R (equation.5.14b) 836 0 R (equation.5.15) 837 0 R (equation.5.2) 789 0 R (equation.5.3) 790 0 R (equation.5.4) 795 0 R] +/Limits [(equation.5.14a) (equation.5.4)] >> endobj 927 0 obj << -/Names [(subsection.1.3.1) 34 0 R (subsection.1.3.2) 38 0 R (subsection.1.3.3) 42 0 R (subsection.1.5.1) 54 0 R (subsection.1.5.2) 58 0 R (subsection.1.6.1) 66 0 R] -/Limits [(subsection.1.3.1) (subsection.1.6.1)] +/Names [(equation.5.4a) 796 0 R (equation.5.4b) 797 0 R (equation.5.4c) 798 0 R (equation.5.5) 799 0 R (equation.5.5a) 800 0 R (equation.5.5b) 801 0 R] +/Limits [(equation.5.4a) (equation.5.5b)] >> endobj 928 0 obj << -/Names [(subsection.1.6.2) 70 0 R (subsection.1.7.1) 78 0 R (subsection.1.7.2) 82 0 R (subsection.1.7.3) 86 0 R (subsection.1.7.4) 90 0 R (subsection.1.7.5) 94 0 R] -/Limits [(subsection.1.6.2) (subsection.1.7.5)] +/Names [(equation.5.5c) 802 0 R (equation.5.6) 803 0 R (equation.5.6a) 804 0 R (equation.5.6b) 805 0 R (equation.5.6c) 806 0 R (equation.5.7) 813 0 R] +/Limits [(equation.5.5c) (equation.5.7)] >> endobj 929 0 obj << -/Names [(subsection.2.1.1) 106 0 R (subsection.2.1.2) 110 0 R (subsection.2.2.1) 118 0 R (subsection.2.2.2) 122 0 R (subsection.2.2.3) 126 0 R (subsection.2.2.4) 130 0 R] -/Limits [(subsection.2.1.1) (subsection.2.2.4)] +/Names [(equation.5.8) 814 0 R (equation.5.9) 815 0 R (equation.6.1) 843 0 R (equation.6.1a) 844 0 R (equation.6.1b) 845 0 R (equation.6.1c) 846 0 R] +/Limits [(equation.5.8) (equation.6.1c)] >> endobj 930 0 obj << -/Names [(subsection.3.2.1) 146 0 R (subsection.3.2.2) 150 0 R (subsection.3.3.1) 158 0 R (subsection.3.3.2) 162 0 R (subsection.3.3.3) 166 0 R (subsection.3.3.4) 170 0 R] -/Limits [(subsection.3.2.1) (subsection.3.3.4)] +/Names [(equation.6.2) 847 0 R (equation.6.3) 848 0 R (equation.6.4) 853 0 R (equation.6.4a) 854 0 R (equation.6.4b) 855 0 R (equation.6.4c) 856 0 R] +/Limits [(equation.6.2) (equation.6.4c)] >> endobj 931 0 obj << -/Names [(subsection.3.4.1) 178 0 R (subsection.3.4.2) 182 0 R (subsection.3.5.1) 190 0 R (subsection.3.5.2) 194 0 R (subsection.3.6.1) 202 0 R (subsection.3.6.2) 206 0 R] -/Limits [(subsection.3.4.1) (subsection.3.6.2)] +/Names [(equation.6.4d) 857 0 R (equation.6.4e) 858 0 R (equation.6.4f) 859 0 R (equation.6.4g) 860 0 R (page.0) 408 0 R (page.1) 420 0 R] +/Limits [(equation.6.4d) (page.1)] >> endobj 932 0 obj << -/Names [(subsection.3.6.3) 210 0 R (subsection.3.6.4) 214 0 R (subsection.3.6.5) 218 0 R (subsection.3.6.6) 222 0 R (subsection.4.1.1) 234 0 R (subsection.4.1.2) 238 0 R] -/Limits [(subsection.3.6.3) (subsection.4.1.2)] +/Names [(page.10) 612 0 R (page.11) 620 0 R (page.12) 629 0 R (page.13) 639 0 R (page.14) 654 0 R (page.15) 670 0 R] +/Limits [(page.10) (page.15)] >> endobj 933 0 obj << -/Names [(subsection.4.1.3) 242 0 R (subsection.4.1.4) 246 0 R (subsection.4.1.5) 250 0 R (subsection.4.1.6) 254 0 R (subsection.4.2.1) 262 0 R (subsection.4.3.1) 270 0 R] -/Limits [(subsection.4.1.3) (subsection.4.3.1)] +/Names [(page.16) 685 0 R (page.17) 696 0 R (page.18) 701 0 R (page.19) 725 0 R (page.2) 456 0 R (page.20) 742 0 R] +/Limits [(page.16) (page.20)] >> endobj 934 0 obj << -/Names [(subsection.4.3.2) 274 0 R (subsection.4.3.3) 278 0 R (subsection.4.4.1) 286 0 R (subsection.4.4.2) 290 0 R (subsection.5.1.1) 302 0 R (subsection.5.1.2) 306 0 R] -/Limits [(subsection.4.3.2) (subsection.5.1.2)] +/Names [(page.21) 754 0 R (page.22) 763 0 R (page.23) 787 0 R (page.24) 794 0 R (page.25) 812 0 R (page.26) 825 0 R] +/Limits [(page.21) (page.26)] >> endobj 935 0 obj << -/Names [(subsection.5.1.3) 310 0 R (subsection.5.1.4) 314 0 R (subsection.5.1.5) 318 0 R (subsection.5.1.6) 322 0 R (subsection.5.2.1) 330 0 R (subsection.5.2.2) 334 0 R] -/Limits [(subsection.5.1.3) (subsection.5.2.2)] +/Names [(page.27) 832 0 R (page.28) 842 0 R (page.29) 852 0 R (page.3) 504 0 R (page.4) 540 0 R (page.5) 545 0 R] +/Limits [(page.27) (page.5)] >> endobj 936 0 obj << -/Names [(subsection.5.2.3) 338 0 R (subsection.5.2.4) 342 0 R (subsection.5.3.1) 350 0 R (subsection.5.3.2) 354 0 R (subsection.5.3.3) 358 0 R (subsection.5.3.4) 362 0 R] -/Limits [(subsection.5.2.3) (subsection.5.3.4)] +/Names [(page.6) 549 0 R (page.7) 563 0 R (page.8) 581 0 R (page.9) 592 0 R (section*.3) 458 0 R (section.1.1) 6 0 R] +/Limits [(page.6) (section.1.1)] >> endobj 937 0 obj << -/Names [(subsection.5.3.5) 366 0 R (subsection.6.1.1) 378 0 R (subsection.6.1.2) 382 0 R (subsection.6.2.1) 390 0 R (subsection.6.2.2) 394 0 R (subsubsection*.10) 756 0 R] -/Limits [(subsection.5.3.5) (subsubsection*.10)] +/Names [(section.1.2) 18 0 R (section.1.3) 30 0 R (section.1.4) 46 0 R (section.1.5) 50 0 R (section.1.6) 62 0 R (section.1.7) 74 0 R] +/Limits [(section.1.2) (section.1.7)] >> endobj 938 0 obj << -/Names [(subsubsection*.4) 578 0 R (subsubsection*.5) 584 0 R (subsubsection*.6) 679 0 R (subsubsection*.7) 690 0 R (subsubsection*.8) 715 0 R (subsubsection*.9) 750 0 R] -/Limits [(subsubsection*.4) (subsubsection*.9)] +/Names [(section.2.1) 102 0 R (section.2.2) 114 0 R (section.3.1) 138 0 R (section.3.2) 142 0 R (section.3.3) 154 0 R (section.3.4) 174 0 R] +/Limits [(section.2.1) (section.3.4)] >> endobj 939 0 obj << -/Kids [890 0 R 891 0 R 892 0 R 893 0 R 894 0 R 895 0 R] -/Limits [(Doc-Start) (equation.1.5a)] +/Names [(section.3.5) 190 0 R (section.3.6) 202 0 R (section.4.1) 234 0 R (section.4.2) 262 0 R (section.4.3) 270 0 R (section.4.4) 286 0 R] +/Limits [(section.3.5) (section.4.4)] >> endobj 940 0 obj << -/Kids [896 0 R 897 0 R 898 0 R 899 0 R 900 0 R 901 0 R] -/Limits [(equation.1.5b) (equation.3.20)] +/Names [(section.5.1) 302 0 R (section.5.2) 330 0 R (section.5.3) 350 0 R (section.6.1) 378 0 R (section.6.2) 390 0 R (subsection.1.1.1) 10 0 R] +/Limits [(section.5.1) (subsection.1.1.1)] >> endobj 941 0 obj << -/Kids [902 0 R 903 0 R 904 0 R 905 0 R 906 0 R 907 0 R] -/Limits [(equation.3.21) (equation.4.3c)] +/Names [(subsection.1.1.2) 14 0 R (subsection.1.2.1) 22 0 R (subsection.1.2.2) 26 0 R (subsection.1.3.1) 34 0 R (subsection.1.3.2) 38 0 R (subsection.1.3.3) 42 0 R] +/Limits [(subsection.1.1.2) (subsection.1.3.3)] >> endobj 942 0 obj << -/Kids [908 0 R 909 0 R 910 0 R 911 0 R 912 0 R 913 0 R] -/Limits [(equation.4.4) (equation.5.5c)] +/Names [(subsection.1.5.1) 54 0 R (subsection.1.5.2) 58 0 R (subsection.1.6.1) 66 0 R (subsection.1.6.2) 70 0 R (subsection.1.7.1) 78 0 R (subsection.1.7.2) 82 0 R] +/Limits [(subsection.1.5.1) (subsection.1.7.2)] >> endobj 943 0 obj << -/Kids [914 0 R 915 0 R 916 0 R 917 0 R 918 0 R 919 0 R] -/Limits [(equation.5.6) (page.21)] +/Names [(subsection.1.7.3) 86 0 R (subsection.1.7.4) 90 0 R (subsection.1.7.5) 94 0 R (subsection.2.1.1) 106 0 R (subsection.2.1.2) 110 0 R (subsection.2.2.1) 118 0 R] +/Limits [(subsection.1.7.3) (subsection.2.2.1)] >> endobj 944 0 obj << -/Kids [920 0 R 921 0 R 922 0 R 923 0 R 924 0 R 925 0 R] -/Limits [(page.22) (section.5.3)] +/Names [(subsection.2.2.2) 122 0 R (subsection.2.2.3) 126 0 R (subsection.2.2.4) 130 0 R (subsection.3.2.1) 146 0 R (subsection.3.2.2) 150 0 R (subsection.3.3.1) 158 0 R] +/Limits [(subsection.2.2.2) (subsection.3.3.1)] >> endobj 945 0 obj << -/Kids [926 0 R 927 0 R 928 0 R 929 0 R 930 0 R 931 0 R] -/Limits [(section.6.1) (subsection.3.6.2)] +/Names [(subsection.3.3.2) 162 0 R (subsection.3.3.3) 166 0 R (subsection.3.3.4) 170 0 R (subsection.3.4.1) 178 0 R (subsection.3.4.2) 182 0 R (subsection.3.4.3) 186 0 R] +/Limits [(subsection.3.3.2) (subsection.3.4.3)] >> endobj 946 0 obj << -/Kids [932 0 R 933 0 R 934 0 R 935 0 R 936 0 R 937 0 R] -/Limits [(subsection.3.6.3) (subsubsection*.10)] +/Names [(subsection.3.5.1) 194 0 R (subsection.3.5.2) 198 0 R (subsection.3.6.1) 206 0 R (subsection.3.6.2) 210 0 R (subsection.3.6.3) 214 0 R (subsection.3.6.4) 218 0 R] +/Limits [(subsection.3.5.1) (subsection.3.6.4)] >> endobj 947 0 obj << -/Kids [938 0 R] -/Limits [(subsubsection*.4) (subsubsection*.9)] +/Names [(subsection.3.6.5) 222 0 R (subsection.3.6.6) 226 0 R (subsection.4.1.1) 238 0 R (subsection.4.1.2) 242 0 R (subsection.4.1.3) 246 0 R (subsection.4.1.4) 250 0 R] +/Limits [(subsection.3.6.5) (subsection.4.1.4)] >> endobj 948 0 obj << -/Kids [939 0 R 940 0 R 941 0 R 942 0 R 943 0 R 944 0 R] -/Limits [(Doc-Start) (section.5.3)] +/Names [(subsection.4.1.5) 254 0 R (subsection.4.1.6) 258 0 R (subsection.4.2.1) 266 0 R (subsection.4.3.1) 274 0 R (subsection.4.3.2) 278 0 R (subsection.4.3.3) 282 0 R] +/Limits [(subsection.4.1.5) (subsection.4.3.3)] >> endobj 949 0 obj << -/Kids [945 0 R 946 0 R 947 0 R] -/Limits [(section.6.1) (subsubsection*.9)] +/Names [(subsection.4.4.1) 290 0 R (subsection.4.4.2) 294 0 R (subsection.5.1.1) 306 0 R (subsection.5.1.2) 310 0 R (subsection.5.1.3) 314 0 R (subsection.5.1.4) 318 0 R] +/Limits [(subsection.4.4.1) (subsection.5.1.4)] >> endobj 950 0 obj << -/Kids [948 0 R 949 0 R] -/Limits [(Doc-Start) (subsubsection*.9)] +/Names [(subsection.5.1.5) 322 0 R (subsection.5.1.6) 326 0 R (subsection.5.2.1) 334 0 R (subsection.5.2.2) 338 0 R (subsection.5.2.3) 342 0 R (subsection.5.2.4) 346 0 R] +/Limits [(subsection.5.1.5) (subsection.5.2.4)] >> endobj 951 0 obj << -/Dests 950 0 R +/Names [(subsection.5.3.1) 354 0 R (subsection.5.3.2) 358 0 R (subsection.5.3.3) 362 0 R (subsection.5.3.4) 366 0 R (subsection.5.3.5) 370 0 R (subsection.6.1.1) 382 0 R] +/Limits [(subsection.5.3.1) (subsection.6.1.1)] >> endobj 952 0 obj << -/Type /Catalog -/Pages 888 0 R -/Outlines 889 0 R -/Names 951 0 R -/PageMode/UseOutlines/PageLabels<>1<>]>> -/OpenAction 397 0 R +/Names [(subsection.6.1.2) 386 0 R (subsection.6.2.1) 394 0 R (subsection.6.2.2) 398 0 R (subsubsection*.10) 770 0 R (subsubsection*.4) 587 0 R (subsubsection*.5) 593 0 R] +/Limits [(subsection.6.1.2) (subsubsection*.5)] >> endobj 953 0 obj << +/Names [(subsubsection*.6) 689 0 R (subsubsection*.7) 704 0 R (subsubsection*.8) 730 0 R (subsubsection*.9) 764 0 R] +/Limits [(subsubsection*.6) (subsubsection*.9)] +>> endobj +954 0 obj << +/Kids [904 0 R 905 0 R 906 0 R 907 0 R 908 0 R 909 0 R] +/Limits [(Doc-Start) (equation.1.5a)] +>> endobj +955 0 obj << +/Kids [910 0 R 911 0 R 912 0 R 913 0 R 914 0 R 915 0 R] +/Limits [(equation.1.5b) (equation.3.20)] +>> endobj +956 0 obj << +/Kids [916 0 R 917 0 R 918 0 R 919 0 R 920 0 R 921 0 R] +/Limits [(equation.3.21) (equation.4.3b)] +>> endobj +957 0 obj << +/Kids [922 0 R 923 0 R 924 0 R 925 0 R 926 0 R 927 0 R] +/Limits [(equation.4.3c) (equation.5.5b)] +>> endobj +958 0 obj << +/Kids [928 0 R 929 0 R 930 0 R 931 0 R 932 0 R 933 0 R] +/Limits [(equation.5.5c) (page.20)] +>> endobj +959 0 obj << +/Kids [934 0 R 935 0 R 936 0 R 937 0 R 938 0 R 939 0 R] +/Limits [(page.21) (section.4.4)] +>> endobj +960 0 obj << +/Kids [940 0 R 941 0 R 942 0 R 943 0 R 944 0 R 945 0 R] +/Limits [(section.5.1) (subsection.3.4.3)] +>> endobj +961 0 obj << +/Kids [946 0 R 947 0 R 948 0 R 949 0 R 950 0 R 951 0 R] +/Limits [(subsection.3.5.1) (subsection.6.1.1)] +>> endobj +962 0 obj << +/Kids [952 0 R 953 0 R] +/Limits [(subsection.6.1.2) (subsubsection*.9)] +>> endobj +963 0 obj << +/Kids [954 0 R 955 0 R 956 0 R 957 0 R 958 0 R 959 0 R] +/Limits [(Doc-Start) (section.4.4)] +>> endobj +964 0 obj << +/Kids [960 0 R 961 0 R 962 0 R] +/Limits [(section.5.1) (subsubsection*.9)] +>> endobj +965 0 obj << +/Kids [963 0 R 964 0 R] +/Limits [(Doc-Start) (subsubsection*.9)] +>> endobj +966 0 obj << +/Dests 965 0 R +>> endobj +967 0 obj << +/Type /Catalog +/Pages 902 0 R +/Outlines 903 0 R +/Names 966 0 R +/PageMode/UseOutlines/PageLabels<>1<>]>> +/OpenAction 401 0 R +>> endobj +968 0 obj << /Author()/Title()/Subject()/Creator(LaTeX with hyperref package)/Producer(Latex TUD-CD \(C. v. 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+290444 %%EOF diff --git a/document.tex b/document.tex index f68d43f..81505ca 100644 --- a/document.tex +++ b/document.tex @@ -22,7 +22,7 @@ \title{Stochastische Signale und Systeme} \subtitle{Zusammenfassung Formeln} -\subsubtitle{Autor: Daniel Thiem - studium@daniel-thiem.de\\Version 0.8.4 - 24.09.2012} +\subsubtitle{Autor: Daniel Thiem - studium@daniel-thiem.de\\Version 0.8.5 - 24.09.2012} \maketitle \newpage @@ -308,6 +308,11 @@ Falls $X$ zumindest \emph{station c_{XX}(\kappa)=r_{XX}(\kappa)-(\E[X(n)])^2 \end{equation} +\subsection{Kovarianz einer zusammengesetzten Funktion} +Falls $Y(n)=X(n)+V(n)$ und $X(n)$ ist von $V(n)$ statistisch unabhngig, dann gilt: +\begin{equation} +c_{YY}(\kappa)=C_{XX}(\kappa)+C_{VV}(\kappa) +\end{equation} \subsection{berfhrung der Central-SOMF in die Varianz} \begin{equation} c_{XX}(0)=\Var(X) @@ -327,6 +332,8 @@ Falls $X$ und $Y$ zumindest \emph{gemeinsam station \begin{equation} c_{XY}(\kappa)=r_{XY}(\kappa)-\E[X(n)]\E[Y(n)] \end{equation} + + \subsection{Unkorreliertheit (uncorrelated) anhand der Kreuzkovarianz}\label{uncorrelated} \begin{equation} c_{XY}(\kappa)=0