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R /Next 291 0 R /First 227 0 R @@ -4712,7 +4720,7 @@ endobj 131 0 obj << /Title 132 0 R /A 129 0 R -/Parent 864 0 R +/Parent 865 0 R /Prev 99 0 R /Next 223 0 R /First 135 0 R @@ -4771,7 +4779,7 @@ endobj 99 0 obj << /Title 100 0 R /A 97 0 R -/Parent 864 0 R +/Parent 865 0 R /Prev 3 0 R /Next 131 0 R /First 103 0 R @@ -4946,715 +4954,715 @@ endobj 3 0 obj << /Title 4 0 R /A 1 0 R -/Parent 864 0 R +/Parent 865 0 R /Next 99 0 R /First 7 0 R /Last 75 0 R /Count -7 >> endobj -865 0 obj << -/Names [(Doc-Start) 397 0 R (Item.1) 612 0 R (Item.2) 613 0 R (Item.3) 739 0 R (Item.4) 740 0 R (Item.5) 741 0 R] +866 0 obj << +/Names [(Doc-Start) 397 0 R (Item.1) 612 0 R (Item.2) 613 0 R (Item.3) 740 0 R (Item.4) 741 0 R (Item.5) 742 0 R] /Limits [(Doc-Start) (Item.5)] >> endobj -866 0 obj << +867 0 obj << /Names [(chapter*.1) 445 0 R (chapter.1) 2 0 R (chapter.2) 98 0 R (chapter.3) 130 0 R (chapter.4) 222 0 R (chapter.5) 290 0 R] /Limits [(chapter*.1) (chapter.5)] >> endobj -867 0 obj << +868 0 obj << /Names [(chapter.6) 366 0 R (equation.1.1) 531 0 R (equation.1.10) 565 0 R (equation.1.11) 566 0 R (equation.1.12) 567 0 R (equation.1.13) 569 0 R] /Limits [(chapter.6) (equation.1.13)] >> endobj -868 0 obj << +869 0 obj << /Names [(equation.1.14) 575 0 R (equation.1.15) 576 0 R (equation.1.16) 577 0 R (equation.1.17) 578 0 R (equation.1.18) 579 0 R (equation.1.19) 580 0 R] /Limits [(equation.1.14) (equation.1.19)] >> endobj -869 0 obj << +870 0 obj << /Names [(equation.1.2) 532 0 R (equation.1.20) 581 0 R (equation.1.21) 594 0 R (equation.1.22) 595 0 R (equation.1.23) 596 0 R (equation.1.24) 597 0 R] /Limits [(equation.1.2) (equation.1.24)] >> endobj -870 0 obj << +871 0 obj << /Names [(equation.1.2a) 535 0 R (equation.1.2b) 536 0 R (equation.1.3) 537 0 R (equation.1.4) 539 0 R (equation.1.5) 544 0 R (equation.1.5a) 545 0 R] /Limits [(equation.1.2a) (equation.1.5a)] >> endobj -871 0 obj << +872 0 obj << /Names [(equation.1.5b) 546 0 R (equation.1.5c) 547 0 R (equation.1.5d) 549 0 R (equation.1.6) 550 0 R (equation.1.6a) 551 0 R (equation.1.6b) 552 0 R] /Limits [(equation.1.5b) (equation.1.6b)] >> endobj -872 0 obj << +873 0 obj << /Names [(equation.1.6c) 553 0 R (equation.1.6d) 554 0 R (equation.1.6e) 555 0 R (equation.1.6f) 556 0 R (equation.1.7) 557 0 R (equation.1.8) 563 0 R] /Limits [(equation.1.6c) (equation.1.8)] >> endobj -873 0 obj << +874 0 obj << /Names [(equation.1.9) 564 0 R (equation.2.1) 602 0 R (equation.2.2) 603 0 R (equation.2.3) 604 0 R (equation.2.4) 605 0 R (equation.2.5) 611 0 R] /Limits [(equation.1.9) (equation.2.5)] >> endobj -874 0 obj << -/Names [(equation.3.1) 618 0 R (equation.3.10) 641 0 R (equation.3.10a) 642 0 R (equation.3.10b) 643 0 R (equation.3.11) 645 0 R (equation.3.12) 652 0 R] +875 0 obj << +/Names [(equation.3.1) 619 0 R (equation.3.10) 643 0 R (equation.3.10a) 644 0 R (equation.3.10b) 645 0 R (equation.3.11) 651 0 R (equation.3.12) 652 0 R] /Limits [(equation.3.1) (equation.3.12)] >> endobj -875 0 obj << +876 0 obj << /Names [(equation.3.13) 653 0 R (equation.3.13a) 654 0 R (equation.3.13b) 655 0 R (equation.3.14) 656 0 R (equation.3.15) 657 0 R (equation.3.16) 658 0 R] /Limits [(equation.3.13) (equation.3.16)] >> endobj -876 0 obj << -/Names [(equation.3.17) 659 0 R (equation.3.18) 666 0 R (equation.3.19) 668 0 R (equation.3.2) 619 0 R (equation.3.20) 669 0 R (equation.3.21) 670 0 R] +877 0 obj << +/Names [(equation.3.17) 666 0 R (equation.3.18) 667 0 R (equation.3.19) 669 0 R (equation.3.2) 620 0 R (equation.3.20) 670 0 R (equation.3.21) 671 0 R] /Limits [(equation.3.17) (equation.3.21)] >> endobj -877 0 obj << -/Names [(equation.3.22) 671 0 R (equation.3.3) 620 0 R (equation.3.3a) 621 0 R (equation.3.3b) 622 0 R (equation.3.4) 623 0 R (equation.3.4a) 624 0 R] +878 0 obj << +/Names [(equation.3.22) 672 0 R (equation.3.3) 621 0 R (equation.3.3a) 622 0 R (equation.3.3b) 623 0 R (equation.3.4) 624 0 R (equation.3.4a) 625 0 R] /Limits [(equation.3.22) (equation.3.4a)] >> endobj -878 0 obj << -/Names [(equation.3.4b) 625 0 R (equation.3.4c) 626 0 R (equation.3.5) 627 0 R (equation.3.6) 634 0 R (equation.3.7) 635 0 R (equation.3.7a) 636 0 R] +879 0 obj << +/Names [(equation.3.4b) 626 0 R (equation.3.4c) 627 0 R (equation.3.5) 628 0 R (equation.3.6) 636 0 R (equation.3.7) 637 0 R (equation.3.7a) 638 0 R] /Limits [(equation.3.4b) (equation.3.7a)] >> endobj -879 0 obj << -/Names [(equation.3.7b) 637 0 R (equation.3.7c) 638 0 R (equation.3.8) 639 0 R (equation.3.9) 640 0 R (equation.4.1) 676 0 R (equation.4.10) 720 0 R] +880 0 obj << +/Names [(equation.3.7b) 639 0 R (equation.3.7c) 640 0 R (equation.3.8) 641 0 R (equation.3.9) 642 0 R (equation.4.1) 677 0 R (equation.4.10) 721 0 R] /Limits [(equation.3.7b) (equation.4.10)] >> endobj -880 0 obj << -/Names [(equation.4.11) 721 0 R (equation.4.12) 729 0 R (equation.4.13) 730 0 R (equation.4.14) 731 0 R (equation.4.15) 732 0 R (equation.4.16) 742 0 R] +881 0 obj << +/Names [(equation.4.11) 722 0 R (equation.4.12) 730 0 R (equation.4.13) 731 0 R (equation.4.14) 732 0 R (equation.4.15) 733 0 R (equation.4.16) 743 0 R] /Limits [(equation.4.11) (equation.4.16)] >> endobj -881 0 obj << -/Names [(equation.4.17) 743 0 R (equation.4.18) 745 0 R (equation.4.18a) 746 0 R (equation.4.18b) 747 0 R (equation.4.18c) 748 0 R (equation.4.18d) 749 0 R] +882 0 obj << +/Names [(equation.4.17) 744 0 R (equation.4.18) 746 0 R (equation.4.18a) 747 0 R (equation.4.18b) 748 0 R (equation.4.18c) 749 0 R (equation.4.18d) 750 0 R] /Limits [(equation.4.17) (equation.4.18d)] >> endobj -882 0 obj << -/Names [(equation.4.2) 677 0 R (equation.4.3) 679 0 R (equation.4.3a) 681 0 R (equation.4.3b) 682 0 R (equation.4.3c) 683 0 R (equation.4.4) 699 0 R] +883 0 obj << +/Names [(equation.4.2) 678 0 R (equation.4.3) 680 0 R (equation.4.3a) 682 0 R (equation.4.3b) 683 0 R (equation.4.3c) 684 0 R (equation.4.4) 700 0 R] /Limits [(equation.4.2) (equation.4.4)] >> endobj -883 0 obj << -/Names [(equation.4.4a) 700 0 R (equation.4.4b) 701 0 R (equation.4.5) 702 0 R (equation.4.6) 704 0 R (equation.4.6a) 705 0 R (equation.4.6b) 706 0 R] +884 0 obj << +/Names [(equation.4.4a) 701 0 R (equation.4.4b) 702 0 R (equation.4.5) 703 0 R (equation.4.6) 705 0 R (equation.4.6a) 706 0 R (equation.4.6b) 707 0 R] /Limits [(equation.4.4a) (equation.4.6b)] >> endobj -884 0 obj << -/Names [(equation.4.6c) 708 0 R (equation.4.6d) 709 0 R (equation.4.6e) 710 0 R (equation.4.7) 711 0 R (equation.4.8) 716 0 R (equation.4.8a) 717 0 R] +885 0 obj << +/Names [(equation.4.6c) 709 0 R (equation.4.6d) 710 0 R (equation.4.6e) 711 0 R (equation.4.7) 712 0 R (equation.4.8) 717 0 R (equation.4.8a) 718 0 R] /Limits [(equation.4.6c) (equation.4.8a)] >> endobj -885 0 obj << -/Names [(equation.4.8b) 718 0 R (equation.4.9) 719 0 R (equation.5.1) 762 0 R (equation.5.10) 789 0 R (equation.5.11) 790 0 R (equation.5.12) 799 0 R] +886 0 obj << +/Names [(equation.4.8b) 719 0 R (equation.4.9) 720 0 R (equation.5.1) 763 0 R (equation.5.10) 790 0 R (equation.5.11) 791 0 R (equation.5.12) 800 0 R] /Limits [(equation.4.8b) (equation.5.12)] >> endobj -886 0 obj << -/Names [(equation.5.12a) 800 0 R (equation.5.12b) 801 0 R (equation.5.13) 807 0 R (equation.5.14) 808 0 R (equation.5.14a) 809 0 R (equation.5.14b) 810 0 R] +887 0 obj << +/Names [(equation.5.12a) 801 0 R (equation.5.12b) 802 0 R (equation.5.13) 808 0 R (equation.5.14) 809 0 R (equation.5.14a) 810 0 R (equation.5.14b) 811 0 R] /Limits [(equation.5.12a) (equation.5.14b)] >> endobj -887 0 obj << -/Names [(equation.5.15) 811 0 R (equation.5.2) 763 0 R (equation.5.3) 764 0 R (equation.5.4) 769 0 R (equation.5.4a) 770 0 R (equation.5.4b) 771 0 R] +888 0 obj << +/Names [(equation.5.15) 812 0 R (equation.5.2) 764 0 R (equation.5.3) 765 0 R (equation.5.4) 770 0 R (equation.5.4a) 771 0 R (equation.5.4b) 772 0 R] /Limits [(equation.5.15) (equation.5.4b)] >> endobj -888 0 obj << -/Names [(equation.5.4c) 772 0 R (equation.5.5) 773 0 R (equation.5.5a) 774 0 R (equation.5.5b) 775 0 R (equation.5.5c) 776 0 R (equation.5.6) 777 0 R] +889 0 obj << +/Names [(equation.5.4c) 773 0 R (equation.5.5) 774 0 R (equation.5.5a) 775 0 R (equation.5.5b) 776 0 R (equation.5.5c) 777 0 R (equation.5.6) 778 0 R] /Limits [(equation.5.4c) (equation.5.6)] >> endobj -889 0 obj << -/Names [(equation.5.6a) 778 0 R (equation.5.6b) 779 0 R (equation.5.6c) 780 0 R (equation.5.7) 786 0 R (equation.5.8) 787 0 R (equation.5.9) 788 0 R] +890 0 obj << +/Names [(equation.5.6a) 779 0 R (equation.5.6b) 780 0 R (equation.5.6c) 781 0 R (equation.5.7) 787 0 R (equation.5.8) 788 0 R (equation.5.9) 789 0 R] /Limits [(equation.5.6a) (equation.5.9)] >> endobj -890 0 obj << -/Names [(equation.6.1) 817 0 R (equation.6.1a) 818 0 R (equation.6.1b) 819 0 R (equation.6.2) 820 0 R (equation.6.3) 821 0 R (page.0) 396 0 R] +891 0 obj << +/Names [(equation.6.1) 818 0 R (equation.6.1a) 819 0 R (equation.6.1b) 820 0 R (equation.6.2) 821 0 R (equation.6.3) 822 0 R (page.0) 396 0 R] /Limits [(equation.6.1) (page.0)] >> endobj -891 0 obj << -/Names [(page.1) 408 0 R (page.10) 601 0 R (page.11) 610 0 R (page.12) 617 0 R (page.13) 633 0 R (page.14) 651 0 R] +892 0 obj << +/Names [(page.1) 408 0 R (page.10) 601 0 R (page.11) 610 0 R (page.12) 618 0 R (page.13) 634 0 R (page.14) 650 0 R] /Limits [(page.1) (page.14)] >> endobj -892 0 obj << -/Names [(page.15) 665 0 R (page.16) 675 0 R (page.17) 698 0 R (page.18) 715 0 R (page.19) 728 0 R (page.2) 444 0 R] +893 0 obj << +/Names [(page.15) 665 0 R (page.16) 676 0 R (page.17) 699 0 R (page.18) 716 0 R (page.19) 729 0 R (page.2) 444 0 R] /Limits [(page.15) (page.2)] >> endobj -893 0 obj << -/Names [(page.20) 737 0 R (page.21) 761 0 R (page.22) 768 0 R (page.23) 785 0 R (page.24) 798 0 R (page.25) 806 0 R] +894 0 obj << +/Names [(page.20) 738 0 R (page.21) 762 0 R (page.22) 769 0 R (page.23) 786 0 R (page.24) 799 0 R (page.25) 807 0 R] /Limits [(page.20) (page.25)] >> endobj -894 0 obj << -/Names [(page.26) 816 0 R (page.3) 493 0 R (page.4) 525 0 R (page.5) 530 0 R (page.6) 543 0 R (page.7) 562 0 R] +895 0 obj << +/Names [(page.26) 817 0 R (page.3) 493 0 R (page.4) 525 0 R (page.5) 530 0 R (page.6) 543 0 R (page.7) 562 0 R] /Limits [(page.26) (page.7)] >> endobj -895 0 obj << +896 0 obj << /Names [(page.8) 573 0 R (page.9) 593 0 R (section*.3) 446 0 R (section.1.1) 6 0 R (section.1.2) 18 0 R (section.1.3) 30 0 R] /Limits [(page.8) (section.1.3)] >> endobj -896 0 obj << +897 0 obj << /Names [(section.1.4) 46 0 R (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] /Limits [(section.1.4) (section.2.2)] >> endobj -897 0 obj << +898 0 obj << /Names [(section.3.1) 134 0 R (section.3.2) 138 0 R (section.3.3) 150 0 R (section.3.4) 170 0 R (section.3.5) 182 0 R (section.3.6) 194 0 R] /Limits [(section.3.1) (section.3.6)] >> endobj -898 0 obj << +899 0 obj << /Names [(section.4.1) 226 0 R (section.4.2) 254 0 R (section.4.3) 262 0 R (section.4.4) 278 0 R (section.5.1) 294 0 R (section.5.2) 322 0 R] /Limits [(section.4.1) (section.5.2)] >> endobj -899 0 obj << +900 0 obj << /Names [(section.5.3) 342 0 R (section.6.1) 370 0 R (section.6.2) 382 0 R (subsection.1.1.1) 10 0 R (subsection.1.1.2) 14 0 R (subsection.1.2.1) 22 0 R] /Limits [(section.5.3) (subsection.1.2.1)] >> endobj -900 0 obj << +901 0 obj << /Names [(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 (subsection.1.5.1) 54 0 R (subsection.1.5.2) 58 0 R] /Limits [(subsection.1.2.2) (subsection.1.5.2)] >> endobj -901 0 obj << +902 0 obj << /Names [(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 (subsection.1.7.3) 86 0 R (subsection.1.7.4) 90 0 R] /Limits [(subsection.1.6.1) (subsection.1.7.4)] >> endobj -902 0 obj << +903 0 obj << /Names [(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 (subsection.2.2.2) 122 0 R (subsection.2.2.3) 126 0 R] /Limits [(subsection.1.7.5) (subsection.2.2.3)] >> endobj -903 0 obj << +904 0 obj << /Names [(subsection.3.2.1) 142 0 R (subsection.3.2.2) 146 0 R (subsection.3.3.1) 154 0 R (subsection.3.3.2) 158 0 R (subsection.3.3.3) 162 0 R (subsection.3.3.4) 166 0 R] /Limits [(subsection.3.2.1) (subsection.3.3.4)] >> endobj -904 0 obj << +905 0 obj << /Names [(subsection.3.4.1) 174 0 R (subsection.3.4.2) 178 0 R (subsection.3.5.1) 186 0 R (subsection.3.5.2) 190 0 R (subsection.3.6.1) 198 0 R (subsection.3.6.2) 202 0 R] /Limits [(subsection.3.4.1) (subsection.3.6.2)] >> endobj -905 0 obj << +906 0 obj << /Names [(subsection.3.6.3) 206 0 R (subsection.3.6.4) 210 0 R (subsection.3.6.5) 214 0 R (subsection.3.6.6) 218 0 R (subsection.4.1.1) 230 0 R (subsection.4.1.2) 234 0 R] /Limits [(subsection.3.6.3) (subsection.4.1.2)] >> endobj -906 0 obj << +907 0 obj << /Names [(subsection.4.1.3) 238 0 R (subsection.4.1.4) 242 0 R (subsection.4.1.5) 246 0 R (subsection.4.1.6) 250 0 R (subsection.4.2.1) 258 0 R (subsection.4.3.1) 266 0 R] /Limits [(subsection.4.1.3) (subsection.4.3.1)] >> endobj -907 0 obj << +908 0 obj << /Names [(subsection.4.3.2) 270 0 R (subsection.4.3.3) 274 0 R (subsection.4.4.1) 282 0 R (subsection.4.4.2) 286 0 R (subsection.5.1.1) 298 0 R (subsection.5.1.2) 302 0 R] /Limits [(subsection.4.3.2) (subsection.5.1.2)] >> endobj -908 0 obj << +909 0 obj << /Names [(subsection.5.1.3) 306 0 R (subsection.5.1.4) 310 0 R (subsection.5.1.5) 314 0 R (subsection.5.1.6) 318 0 R (subsection.5.2.1) 326 0 R (subsection.5.2.2) 330 0 R] /Limits [(subsection.5.1.3) (subsection.5.2.2)] >> endobj -909 0 obj << +910 0 obj << /Names [(subsection.5.2.3) 334 0 R (subsection.5.2.4) 338 0 R (subsection.5.3.1) 346 0 R (subsection.5.3.2) 350 0 R (subsection.5.3.3) 354 0 R (subsection.5.3.4) 358 0 R] /Limits [(subsection.5.2.3) (subsection.5.3.4)] >> endobj -910 0 obj << -/Names [(subsection.5.3.5) 362 0 R (subsection.6.1.1) 374 0 R (subsection.6.1.2) 378 0 R (subsection.6.2.1) 386 0 R (subsubsection*.10) 744 0 R (subsubsection*.4) 568 0 R] +911 0 obj << +/Names [(subsection.5.3.5) 362 0 R (subsection.6.1.1) 374 0 R (subsection.6.1.2) 378 0 R (subsection.6.2.1) 386 0 R (subsubsection*.10) 745 0 R (subsubsection*.4) 568 0 R] /Limits [(subsection.5.3.5) (subsubsection*.4)] >> endobj -911 0 obj << -/Names [(subsubsection*.5) 574 0 R (subsubsection*.6) 667 0 R (subsubsection*.7) 678 0 R (subsubsection*.8) 703 0 R (subsubsection*.9) 738 0 R] +912 0 obj << +/Names [(subsubsection*.5) 574 0 R (subsubsection*.6) 668 0 R (subsubsection*.7) 679 0 R (subsubsection*.8) 704 0 R (subsubsection*.9) 739 0 R] /Limits [(subsubsection*.5) (subsubsection*.9)] >> endobj -912 0 obj << -/Kids [865 0 R 866 0 R 867 0 R 868 0 R 869 0 R 870 0 R] +913 0 obj << +/Kids [866 0 R 867 0 R 868 0 R 869 0 R 870 0 R 871 0 R] /Limits [(Doc-Start) (equation.1.5a)] >> endobj -913 0 obj << -/Kids [871 0 R 872 0 R 873 0 R 874 0 R 875 0 R 876 0 R] +914 0 obj << +/Kids [872 0 R 873 0 R 874 0 R 875 0 R 876 0 R 877 0 R] /Limits [(equation.1.5b) (equation.3.21)] >> endobj -914 0 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+\subsubtitle{Autor: Daniel Thiem - studium@daniel-thiem.de\\Version 0.8.1 - 24.09.2012} \maketitle \newpage @@ -269,6 +269,7 @@ r_{XX}(0) &\geq|r_{XX}(\kappa)| \quad ,|\kappa|>0 \end{equation} \subsection{Gemeinsame Statonaritt (joint stationary)}\label{jointstationary} +Sei $X(n)$ und $Y(n)$ nach (\ref{stationary}) \emph{stationr}, dann sind die Prozesse gemeinsam stationr, wenn gilt: \begin{equation} r_{XY} = r_{XY}(n_1-n_2) = r_{XY}(\kappa) \quad\text{mit}\quad \kappa=n_1-n_2 \end{equation}