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(equation.3.10b) 734 0 R (equation.3.11) 740 0 R] +1014 0 obj << +/Names [(equation.2.6b) 704 0 R (equation.3.1) 710 0 R (equation.3.10) 733 0 R (equation.3.10a) 734 0 R (equation.3.10b) 735 0 R (equation.3.11) 741 0 R] /Limits [(equation.2.6b) (equation.3.11)] >> endobj -1011 0 obj << -/Names [(equation.3.12) 741 0 R (equation.3.12a) 742 0 R (equation.3.12b) 743 0 R (equation.3.13) 744 0 R (equation.3.14) 745 0 R (equation.3.14a) 746 0 R] +1015 0 obj << +/Names [(equation.3.12) 742 0 R (equation.3.12a) 743 0 R (equation.3.12b) 744 0 R (equation.3.13) 745 0 R (equation.3.14) 746 0 R (equation.3.14a) 747 0 R] /Limits [(equation.3.12) (equation.3.14a)] >> endobj -1012 0 obj << -/Names [(equation.3.14b) 747 0 R (equation.3.15) 748 0 R (equation.3.16) 754 0 R (equation.3.17) 755 0 R (equation.3.18) 756 0 R (equation.3.19) 757 0 R] +1016 0 obj << +/Names [(equation.3.14b) 748 0 R (equation.3.15) 749 0 R (equation.3.16) 755 0 R (equation.3.17) 756 0 R (equation.3.18) 757 0 R (equation.3.19) 758 0 R] /Limits [(equation.3.14b) (equation.3.19)] >> endobj -1013 0 obj << -/Names [(equation.3.2) 710 0 R (equation.3.20) 759 0 R (equation.3.21) 760 0 R (equation.3.22) 767 0 R (equation.3.23) 768 0 R (equation.3.3) 711 0 R] +1017 0 obj << +/Names [(equation.3.2) 711 0 R (equation.3.20) 760 0 R (equation.3.21) 761 0 R (equation.3.22) 768 0 R (equation.3.23) 769 0 R (equation.3.3) 712 0 R] /Limits [(equation.3.2) (equation.3.3)] >> endobj -1014 0 obj << -/Names [(equation.3.3a) 712 0 R (equation.3.3b) 713 0 R (equation.3.4) 714 0 R (equation.3.4a) 715 0 R (equation.3.4b) 716 0 R (equation.3.4c) 717 0 R] +1018 0 obj << +/Names [(equation.3.3a) 713 0 R (equation.3.3b) 714 0 R (equation.3.4) 715 0 R (equation.3.4a) 716 0 R (equation.3.4b) 717 0 R (equation.3.4c) 718 0 R] /Limits [(equation.3.3a) (equation.3.4c)] >> endobj -1015 0 obj << -/Names [(equation.3.5) 718 0 R (equation.3.6) 725 0 R (equation.3.7) 726 0 R (equation.3.7a) 727 0 R (equation.3.7b) 728 0 R (equation.3.7c) 729 0 R] +1019 0 obj << +/Names [(equation.3.5) 724 0 R (equation.3.6) 726 0 R (equation.3.7) 727 0 R (equation.3.7a) 728 0 R (equation.3.7b) 729 0 R (equation.3.7c) 730 0 R] /Limits [(equation.3.5) (equation.3.7c)] >> endobj -1016 0 obj << -/Names [(equation.3.8) 730 0 R (equation.3.9) 731 0 R (equation.4.1) 774 0 R (equation.4.10) 818 0 R (equation.4.11) 819 0 R (equation.4.12) 826 0 R] +1020 0 obj << +/Names [(equation.3.8) 731 0 R (equation.3.9) 732 0 R (equation.4.1) 775 0 R (equation.4.10) 819 0 R (equation.4.11) 820 0 R (equation.4.12) 821 0 R] /Limits [(equation.3.8) (equation.4.12)] >> endobj -1017 0 obj << -/Names [(equation.4.13) 827 0 R (equation.4.14) 828 0 R (equation.4.15) 829 0 R (equation.4.16) 839 0 R (equation.4.17) 840 0 R (equation.4.18) 842 0 R] +1021 0 obj << +/Names [(equation.4.13) 822 0 R (equation.4.14) 830 0 R (equation.4.15) 831 0 R (equation.4.16) 836 0 R (equation.4.17) 837 0 R (equation.4.18) 843 0 R] /Limits [(equation.4.13) (equation.4.18)] >> endobj -1018 0 obj << -/Names [(equation.4.18a) 843 0 R (equation.4.18b) 844 0 R (equation.4.18c) 845 0 R (equation.4.18d) 846 0 R (equation.4.2) 775 0 R (equation.4.3) 777 0 R] +1022 0 obj << +/Names [(equation.4.18a) 844 0 R (equation.4.18b) 845 0 R (equation.4.18c) 846 0 R (equation.4.18d) 847 0 R (equation.4.2) 776 0 R (equation.4.3) 778 0 R] /Limits [(equation.4.18a) (equation.4.3)] >> endobj -1019 0 obj << -/Names [(equation.4.3a) 779 0 R (equation.4.3b) 780 0 R (equation.4.3c) 781 0 R (equation.4.4) 797 0 R (equation.4.4a) 798 0 R (equation.4.4b) 799 0 R] +1023 0 obj << +/Names [(equation.4.3a) 780 0 R (equation.4.3b) 781 0 R (equation.4.3c) 782 0 R (equation.4.4) 783 0 R (equation.4.4a) 784 0 R (equation.4.4b) 785 0 R] /Limits [(equation.4.3a) (equation.4.4b)] >> endobj -1020 0 obj << -/Names [(equation.4.5) 800 0 R (equation.4.6) 802 0 R (equation.4.6a) 803 0 R (equation.4.6b) 804 0 R (equation.4.6c) 806 0 R (equation.4.6d) 807 0 R] +1024 0 obj << +/Names [(equation.4.5) 801 0 R (equation.4.6) 803 0 R (equation.4.6a) 804 0 R (equation.4.6b) 805 0 R (equation.4.6c) 807 0 R (equation.4.6d) 808 0 R] /Limits [(equation.4.5) (equation.4.6d)] >> endobj -1021 0 obj << -/Names [(equation.4.6e) 808 0 R (equation.4.7) 809 0 R (equation.4.8) 814 0 R (equation.4.8a) 815 0 R (equation.4.8b) 816 0 R (equation.4.9) 817 0 R] +1025 0 obj << +/Names [(equation.4.6e) 809 0 R (equation.4.7) 810 0 R (equation.4.8) 811 0 R (equation.4.8a) 812 0 R (equation.4.8b) 813 0 R (equation.4.9) 818 0 R] /Limits [(equation.4.6e) (equation.4.9)] >> endobj -1022 0 obj << -/Names [(equation.5.1) 860 0 R (equation.5.10) 889 0 R (equation.5.11) 896 0 R (equation.5.12) 897 0 R (equation.5.13) 898 0 R (equation.5.14) 906 0 R] +1026 0 obj << +/Names [(equation.5.1) 861 0 R (equation.5.10) 890 0 R (equation.5.11) 897 0 R (equation.5.12) 898 0 R (equation.5.13) 899 0 R (equation.5.14) 907 0 R] /Limits [(equation.5.1) (equation.5.14)] >> endobj -1023 0 obj << -/Names [(equation.5.14a) 907 0 R (equation.5.14b) 908 0 R (equation.5.15) 909 0 R (equation.5.16) 914 0 R (equation.5.17) 915 0 R (equation.5.18) 916 0 R] +1027 0 obj << +/Names [(equation.5.14a) 908 0 R (equation.5.14b) 909 0 R (equation.5.15) 910 0 R (equation.5.16) 915 0 R (equation.5.17) 916 0 R (equation.5.18) 917 0 R] /Limits [(equation.5.14a) (equation.5.18)] >> endobj -1024 0 obj << -/Names [(equation.5.18a) 917 0 R (equation.5.18b) 918 0 R (equation.5.19) 919 0 R (equation.5.2) 861 0 R (equation.5.20) 920 0 R (equation.5.3) 862 0 R] +1028 0 obj << +/Names [(equation.5.18a) 918 0 R (equation.5.18b) 919 0 R (equation.5.19) 920 0 R (equation.5.2) 862 0 R (equation.5.20) 921 0 R (equation.5.3) 863 0 R] /Limits [(equation.5.18a) (equation.5.3)] >> endobj -1025 0 obj << -/Names [(equation.5.4) 868 0 R (equation.5.5) 869 0 R (equation.5.5a) 870 0 R (equation.5.5b) 871 0 R (equation.5.6) 872 0 R (equation.5.6a) 873 0 R] +1029 0 obj << +/Names [(equation.5.4) 869 0 R (equation.5.5) 870 0 R (equation.5.5a) 871 0 R (equation.5.5b) 872 0 R (equation.5.6) 873 0 R (equation.5.6a) 874 0 R] /Limits [(equation.5.4) (equation.5.6a)] >> endobj -1026 0 obj << -/Names [(equation.5.6b) 874 0 R (equation.5.6c) 875 0 R (equation.5.7) 876 0 R (equation.5.7a) 877 0 R (equation.5.7b) 878 0 R (equation.5.7c) 879 0 R] +1030 0 obj << +/Names [(equation.5.6b) 875 0 R (equation.5.6c) 876 0 R (equation.5.7) 877 0 R (equation.5.7a) 878 0 R (equation.5.7b) 879 0 R (equation.5.7c) 880 0 R] /Limits [(equation.5.6b) (equation.5.7c)] >> endobj -1027 0 obj << -/Names [(equation.5.8) 884 0 R (equation.5.8a) 885 0 R (equation.5.8b) 886 0 R (equation.5.8c) 887 0 R (equation.5.9) 888 0 R (equation.6.1) 926 0 R] +1031 0 obj << +/Names [(equation.5.8) 885 0 R (equation.5.8a) 886 0 R (equation.5.8b) 887 0 R (equation.5.8c) 888 0 R (equation.5.9) 889 0 R (equation.6.1) 927 0 R] /Limits [(equation.5.8) (equation.6.1)] >> endobj -1028 0 obj << -/Names [(equation.6.1a) 927 0 R (equation.6.1b) 928 0 R (equation.6.1c) 929 0 R (equation.6.2) 930 0 R (equation.6.3) 931 0 R (equation.6.4) 937 0 R] +1032 0 obj << +/Names [(equation.6.1a) 928 0 R (equation.6.1b) 929 0 R (equation.6.1c) 930 0 R (equation.6.2) 931 0 R (equation.6.3) 932 0 R (equation.6.4) 938 0 R] /Limits [(equation.6.1a) (equation.6.4)] >> endobj -1029 0 obj << -/Names [(equation.6.4a) 938 0 R (equation.6.4b) 939 0 R (equation.6.4c) 940 0 R (equation.6.4d) 941 0 R (equation.6.4e) 942 0 R (equation.6.4f) 943 0 R] +1033 0 obj << +/Names [(equation.6.4a) 939 0 R (equation.6.4b) 940 0 R (equation.6.4c) 941 0 R (equation.6.4d) 942 0 R (equation.6.4e) 943 0 R (equation.6.4f) 944 0 R] /Limits [(equation.6.4a) (equation.6.4f)] >> endobj -1030 0 obj << -/Names [(equation.6.4g) 944 0 R (equation.6.5) 945 0 R (equation.6.6) 946 0 R (equation.6.7) 951 0 R (page.0) 444 0 R (page.1) 456 0 R] +1034 0 obj << +/Names [(equation.6.4g) 945 0 R (equation.6.5) 946 0 R (equation.6.6) 951 0 R (equation.6.7) 952 0 R (page.0) 444 0 R (page.1) 456 0 R] /Limits [(equation.6.4g) (page.1)] >> endobj -1031 0 obj << -/Names [(page.10) 660 0 R (page.11) 678 0 R (page.12) 686 0 R (page.13) 695 0 R (page.14) 708 0 R (page.15) 723 0 R] +1035 0 obj << +/Names [(page.10) 661 0 R (page.11) 679 0 R (page.12) 687 0 R (page.13) 696 0 R (page.14) 709 0 R (page.15) 723 0 R] /Limits [(page.10) (page.15)] >> endobj -1032 0 obj << -/Names [(page.16) 739 0 R (page.17) 753 0 R (page.18) 766 0 R (page.19) 773 0 R (page.2) 492 0 R (page.20) 796 0 R] +1036 0 obj << +/Names [(page.16) 740 0 R (page.17) 754 0 R (page.18) 767 0 R (page.19) 774 0 R (page.2) 492 0 R (page.20) 800 0 R] /Limits [(page.16) (page.20)] >> endobj -1033 0 obj << -/Names [(page.21) 813 0 R (page.22) 825 0 R (page.23) 834 0 R (page.24) 859 0 R (page.25) 867 0 R (page.26) 883 0 R] +1037 0 obj << +/Names [(page.21) 817 0 R (page.22) 829 0 R (page.23) 841 0 R (page.24) 860 0 R (page.25) 868 0 R (page.26) 884 0 R] /Limits [(page.21) (page.26)] >> endobj -1034 0 obj << -/Names [(page.27) 895 0 R (page.28) 905 0 R (page.29) 913 0 R (page.3) 538 0 R (page.30) 925 0 R (page.31) 936 0 R] +1038 0 obj << +/Names [(page.27) 896 0 R (page.28) 906 0 R (page.29) 914 0 R (page.3) 538 0 R (page.30) 926 0 R (page.31) 937 0 R] /Limits [(page.27) (page.31)] >> endobj -1035 0 obj << -/Names [(page.32) 950 0 R (page.4) 582 0 R (page.5) 590 0 R (page.6) 595 0 R (page.7) 613 0 R (page.8) 633 0 R] +1039 0 obj << +/Names [(page.32) 950 0 R (page.4) 582 0 R (page.5) 590 0 R (page.6) 595 0 R (page.7) 614 0 R (page.8) 634 0 R] /Limits [(page.32) (page.8)] >> endobj -1036 0 obj << -/Names [(page.9) 648 0 R (section*.3) 494 0 R (section.1.1) 6 0 R (section.1.2) 10 0 R (section.1.3) 22 0 R (section.1.4) 34 0 R] +1040 0 obj << +/Names [(page.9) 649 0 R (section*.3) 494 0 R (section.1.1) 6 0 R (section.1.2) 10 0 R (section.1.3) 22 0 R (section.1.4) 34 0 R] /Limits [(page.9) (section.1.4)] >> endobj -1037 0 obj << +1041 0 obj << /Names [(section.1.5) 50 0 R (section.1.6) 54 0 R (section.1.7) 66 0 R (section.1.8) 78 0 R (section.2.1) 106 0 R (section.2.2) 118 0 R] /Limits [(section.1.5) (section.2.2)] >> endobj -1038 0 obj << +1042 0 obj << /Names [(section.2.3) 138 0 R (section.3.1) 150 0 R (section.3.2) 154 0 R (section.3.3) 166 0 R (section.3.4) 186 0 R (section.3.5) 202 0 R] /Limits [(section.2.3) (section.3.5)] >> endobj -1039 0 obj << +1043 0 obj << /Names [(section.3.6) 214 0 R (section.4.1) 246 0 R (section.4.2) 274 0 R (section.4.3) 282 0 R (section.4.4) 298 0 R (section.5.1) 314 0 R] /Limits [(section.3.6) (section.5.1)] >> endobj -1040 0 obj << +1044 0 obj << /Names [(section.5.2) 350 0 R (section.5.3) 370 0 R (section.6.1) 402 0 R (section.6.2) 414 0 R (subsection.1.2.1) 14 0 R (subsection.1.2.2) 18 0 R] /Limits [(section.5.2) (subsection.1.2.2)] >> endobj -1041 0 obj << +1045 0 obj << /Names [(subsection.1.3.1) 26 0 R (subsection.1.3.2) 30 0 R (subsection.1.4.1) 38 0 R (subsection.1.4.2) 42 0 R (subsection.1.4.3) 46 0 R (subsection.1.6.1) 58 0 R] /Limits [(subsection.1.3.1) (subsection.1.6.1)] >> endobj -1042 0 obj << +1046 0 obj << /Names [(subsection.1.6.2) 62 0 R (subsection.1.7.1) 70 0 R (subsection.1.7.2) 74 0 R (subsection.1.8.1) 82 0 R (subsection.1.8.2) 86 0 R (subsection.1.8.3) 90 0 R] /Limits [(subsection.1.6.2) (subsection.1.8.3)] >> endobj -1043 0 obj << +1047 0 obj << /Names [(subsection.1.8.4) 94 0 R (subsection.1.8.5) 98 0 R (subsection.2.1.1) 110 0 R (subsection.2.1.2) 114 0 R (subsection.2.2.1) 122 0 R (subsection.2.2.2) 126 0 R] /Limits [(subsection.1.8.4) (subsection.2.2.2)] >> endobj -1044 0 obj << +1048 0 obj << /Names [(subsection.2.2.3) 130 0 R (subsection.2.2.4) 134 0 R (subsection.2.3.1) 142 0 R (subsection.3.2.1) 158 0 R (subsection.3.2.2) 162 0 R (subsection.3.3.1) 170 0 R] /Limits [(subsection.2.2.3) (subsection.3.3.1)] >> endobj -1045 0 obj << +1049 0 obj << /Names [(subsection.3.3.2) 174 0 R (subsection.3.3.3) 178 0 R (subsection.3.3.4) 182 0 R (subsection.3.4.1) 190 0 R (subsection.3.4.2) 194 0 R (subsection.3.4.3) 198 0 R] /Limits [(subsection.3.3.2) (subsection.3.4.3)] >> endobj -1046 0 obj << +1050 0 obj << /Names [(subsection.3.5.1) 206 0 R (subsection.3.5.2) 210 0 R (subsection.3.6.1) 218 0 R (subsection.3.6.2) 222 0 R (subsection.3.6.3) 226 0 R (subsection.3.6.4) 230 0 R] /Limits [(subsection.3.5.1) (subsection.3.6.4)] >> endobj -1047 0 obj << +1051 0 obj << /Names [(subsection.3.6.5) 234 0 R (subsection.3.6.6) 238 0 R (subsection.4.1.1) 250 0 R (subsection.4.1.2) 254 0 R (subsection.4.1.3) 258 0 R (subsection.4.1.4) 262 0 R] /Limits [(subsection.3.6.5) (subsection.4.1.4)] >> endobj -1048 0 obj << +1052 0 obj << /Names [(subsection.4.1.5) 266 0 R (subsection.4.1.6) 270 0 R (subsection.4.2.1) 278 0 R (subsection.4.3.1) 286 0 R (subsection.4.3.2) 290 0 R (subsection.4.3.3) 294 0 R] /Limits [(subsection.4.1.5) (subsection.4.3.3)] >> endobj -1049 0 obj << +1053 0 obj << /Names [(subsection.4.4.1) 302 0 R (subsection.4.4.2) 306 0 R (subsection.5.1.1) 318 0 R (subsection.5.1.2) 322 0 R (subsection.5.1.3) 326 0 R (subsection.5.1.4) 330 0 R] /Limits [(subsection.4.4.1) (subsection.5.1.4)] >> endobj -1050 0 obj << +1054 0 obj << /Names [(subsection.5.1.5) 334 0 R (subsection.5.1.6) 338 0 R (subsection.5.1.7) 342 0 R (subsection.5.1.8) 346 0 R (subsection.5.2.1) 354 0 R (subsection.5.2.2) 358 0 R] /Limits [(subsection.5.1.5) (subsection.5.2.2)] >> endobj -1051 0 obj << +1055 0 obj << /Names [(subsection.5.2.3) 362 0 R (subsection.5.2.4) 366 0 R (subsection.5.3.1) 374 0 R (subsection.5.3.2) 378 0 R (subsection.5.3.3) 382 0 R (subsection.5.3.4) 386 0 R] /Limits [(subsection.5.2.3) (subsection.5.3.4)] >> endobj -1052 0 obj << +1056 0 obj << /Names [(subsection.5.3.5) 390 0 R (subsection.5.3.6) 394 0 R (subsection.6.1.1) 406 0 R (subsection.6.1.2) 410 0 R (subsection.6.2.1) 418 0 R (subsection.6.2.2) 422 0 R] /Limits [(subsection.5.3.5) (subsection.6.2.2)] >> endobj -1053 0 obj << -/Names [(subsection.6.2.3) 426 0 R (subsection.6.2.4) 430 0 R (subsection.6.2.5) 434 0 R (subsubsection*.10) 841 0 R (subsubsection*.4) 653 0 R (subsubsection*.5) 655 0 R] +1057 0 obj << +/Names [(subsection.6.2.3) 426 0 R (subsection.6.2.4) 430 0 R (subsection.6.2.5) 434 0 R (subsubsection*.10) 842 0 R (subsubsection*.4) 654 0 R (subsubsection*.5) 656 0 R] /Limits [(subsection.6.2.3) (subsubsection*.5)] >> endobj -1054 0 obj << -/Names [(subsubsection*.6) 758 0 R (subsubsection*.7) 776 0 R (subsubsection*.8) 801 0 R (subsubsection*.9) 835 0 R] +1058 0 obj << +/Names [(subsubsection*.6) 759 0 R (subsubsection*.7) 777 0 R (subsubsection*.8) 802 0 R (subsubsection*.9) 832 0 R] /Limits [(subsubsection*.6) (subsubsection*.9)] >> endobj -1055 0 obj << -/Kids [998 0 R 999 0 R 1000 0 R 1001 0 R 1002 0 R 1003 0 R] +1059 0 obj << +/Kids [1002 0 R 1003 0 R 1004 0 R 1005 0 R 1006 0 R 1007 0 R] /Limits [(Doc-Start) (equation.1.2)] >> endobj -1056 0 obj << -/Kids [1004 0 R 1005 0 R 1006 0 R 1007 0 R 1008 0 R 1009 0 R] +1060 0 obj << +/Kids [1008 0 R 1009 0 R 1010 0 R 1011 0 R 1012 0 R 1013 0 R] /Limits [(equation.1.20) (equation.2.6a)] >> endobj -1057 0 obj << -/Kids [1010 0 R 1011 0 R 1012 0 R 1013 0 R 1014 0 R 1015 0 R] +1061 0 obj << +/Kids [1014 0 R 1015 0 R 1016 0 R 1017 0 R 1018 0 R 1019 0 R] /Limits [(equation.2.6b) (equation.3.7c)] >> endobj -1058 0 obj << -/Kids [1016 0 R 1017 0 R 1018 0 R 1019 0 R 1020 0 R 1021 0 R] +1062 0 obj << +/Kids [1020 0 R 1021 0 R 1022 0 R 1023 0 R 1024 0 R 1025 0 R] /Limits [(equation.3.8) (equation.4.9)] >> endobj -1059 0 obj << -/Kids [1022 0 R 1023 0 R 1024 0 R 1025 0 R 1026 0 R 1027 0 R] +1063 0 obj << +/Kids [1026 0 R 1027 0 R 1028 0 R 1029 0 R 1030 0 R 1031 0 R] /Limits [(equation.5.1) (equation.6.1)] >> endobj -1060 0 obj << -/Kids [1028 0 R 1029 0 R 1030 0 R 1031 0 R 1032 0 R 1033 0 R] +1064 0 obj << +/Kids [1032 0 R 1033 0 R 1034 0 R 1035 0 R 1036 0 R 1037 0 R] /Limits [(equation.6.1a) (page.26)] >> endobj -1061 0 obj << -/Kids [1034 0 R 1035 0 R 1036 0 R 1037 0 R 1038 0 R 1039 0 R] +1065 0 obj << +/Kids [1038 0 R 1039 0 R 1040 0 R 1041 0 R 1042 0 R 1043 0 R] /Limits [(page.27) (section.5.1)] >> endobj -1062 0 obj << -/Kids [1040 0 R 1041 0 R 1042 0 R 1043 0 R 1044 0 R 1045 0 R] +1066 0 obj << +/Kids [1044 0 R 1045 0 R 1046 0 R 1047 0 R 1048 0 R 1049 0 R] /Limits [(section.5.2) (subsection.3.4.3)] >> endobj -1063 0 obj << -/Kids [1046 0 R 1047 0 R 1048 0 R 1049 0 R 1050 0 R 1051 0 R] +1067 0 obj << +/Kids [1050 0 R 1051 0 R 1052 0 R 1053 0 R 1054 0 R 1055 0 R] /Limits [(subsection.3.5.1) (subsection.5.3.4)] >> endobj -1064 0 obj << -/Kids [1052 0 R 1053 0 R 1054 0 R] +1068 0 obj << +/Kids [1056 0 R 1057 0 R 1058 0 R] /Limits [(subsection.5.3.5) (subsubsection*.9)] >> endobj -1065 0 obj << -/Kids [1055 0 R 1056 0 R 1057 0 R 1058 0 R 1059 0 R 1060 0 R] +1069 0 obj << +/Kids [1059 0 R 1060 0 R 1061 0 R 1062 0 R 1063 0 R 1064 0 R] /Limits [(Doc-Start) (page.26)] >> endobj -1066 0 obj << -/Kids [1061 0 R 1062 0 R 1063 0 R 1064 0 R] +1070 0 obj << +/Kids [1065 0 R 1066 0 R 1067 0 R 1068 0 R] /Limits [(page.27) (subsubsection*.9)] >> endobj -1067 0 obj << -/Kids [1065 0 R 1066 0 R] +1071 0 obj << +/Kids [1069 0 R 1070 0 R] /Limits [(Doc-Start) (subsubsection*.9)] >> endobj -1068 0 obj << -/Dests 1067 0 R +1072 0 obj << +/Dests 1071 0 R >> endobj -1069 0 obj << +1073 0 obj << /Type /Catalog -/Pages 996 0 R -/Outlines 997 0 R -/Names 1068 0 R +/Pages 1000 0 R +/Outlines 1001 0 R +/Names 1072 0 R /PageMode/UseOutlines/PageLabels<>1<>]>> /OpenAction 437 0 R >> endobj -1070 0 obj << +1074 0 obj << /Author()/Title()/Subject()/Creator(LaTeX with hyperref package)/Producer(Latex TUD-CD \(C. v. Loewenich \046 J. 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studium@daniel-thiem.de\\Version 1.0 - 27.09.2012} +\subsubtitle{Autor: Daniel Thiem - studium@daniel-thiem.de\\Version 1.1 - 15.02.2013} \maketitle \newpage @@ -244,7 +244,7 @@ P \left(\lim_{k\rightarrow\infty} |X_k-X|=0\right)=1 \end{itemize} \chapter{Discrete-Time-Fourier-Transformation} -\section{Abtastung} +\section{Abtastung} \label{fouriersampling} \subsection{Im Zeitbereich} Sei $x_c(t)$ das zu abtastende Signal und $T_s=\frac{1}{f_s}$ die Abtastdauer bzw. Abtastfrequenz \begin{equation} @@ -627,7 +627,7 @@ c_{YX}&=\int\limits_{-\pi}^\pi H\freq C_{XX}\freq e^{-j\omega\kappa}\frac{d\omeg \begin{subequations} \begin{align} -c_{Y_1Y_2}(\kappa)&=\sum\limits_{k=-\infty}^\infty \sum\limits_{l=-\infty}^\infty h_1(k)h_2(l)\cdot c_{X_1X_2}(\kappa -k+l) \\ +c_{Y_1Y_2}(\kappa)&=\sum\limits_{k=-\infty}^\infty \sum\limits_{l=-\infty}^\infty h_1(k)h_2(l)^*\cdot c_{X_1X_2}(\kappa -k+l) \\ c_{Y_1Y_2}(\kappa)&=h_1(\kappa)\star h_2(\kappa)^*\star c_{X_1X_2}(\kappa)\\ C_{Y_1Y_2}\freq &=H_1\freq H_2\freq^*C_{X_1X_2}\freq \end{align}