350 1,662 1,625 2,060 2,154 2,140 1,709 3,287 5,347 6,003 5,781 5,569 1,064 996 3,053 2,950 4,117 3,946 8,063 2,060 6,003 8 2 4 5166032 Viersen, Stadt 15,181 2,136 2,200 2,681 2,816 2,946 2,402 4,336 7,017 [...] 823 725 2,409 2,018 3,232 2,743 5,975 1,548 4,427 8 2 4 5382068 Troisdorf, Stadt 15,641 2,205 2,251 2,923 2,956 2,933 2,373 4,456 7,379 8,262 8,086 7,555 1,475 1,448 4,300 3,962 5,775 5,410 11,185 2,923 8 [...] 872 1,714 1,743 2,187 2,127 2,217 1,884 3,457 5,644 6,228 6,179 5,693 1,155 1,032 3,262 2,966 4,417 3,998 8,415 2,187 6,228 7 1 4 5562024 Marl, Stadt 15,968 2,420 2,374 2,819 2,871 2,956 2,528 4,794 7,613 …

4 2.4 2.5 2.6 2.6 2.7 2.5 2.3 2.3 2.3 2.4 2.5 2.5 2.3 2.0 4.2 AWO 100 13.1 3.3 3.0 3.0 2.6 2.4 2.2 2.2 2.2 2.3 2.1 2.3 2.2 2.2 2.2 2.1 2.3 2.2 2.0 2.1 2.3 2.2 2.5 2.5 2.4 2.5 2.6 2.5 2.3 2.3 2.2 2.3 2.2 [...] 1.9 2.1 2.1 2.2 2.2 2.2 2.1 2.1 2.2 2.2 2.2 2.3 2.4 2.5 2.6 2.7 2.9 2.9 2.9 2.9 2.6 2.5 2.5 2.6 2.7 2.5 2.5 2.2 4.4 EKD/Diakonie 100 11.6 2.5 2.6 2.6 2.4 2.2 2.0 1.9 2.0 2.1 2.2 2.2 2.3 2.3 2.4 2.2 2.4 [...] 12.5 2.8 2.9 2.8 2.6 2.3 2.2 2.1 2.1 2.2 2.2 2.3 2.3 2.3 2.2 2.2 2.2 2.2 2.2 2.3 2.4 2.4 2.4 2.6 2.7 2.7 2.7 2.6 2.4 2.3 2.3 2.4 2.4 2.3 2.2 1.9 4.5 Öffentliche Träger 100 11.6 2.6 2.7 2.6 2.4 2.1 2.0 1 …

K_4pmol -2,22 ± 0,74 441 Dync1i1_2pmol -2,25 ± 0,70 527 GABARAPL1_2pmol -2,25 ± 2,04 173 Cep170_2pmol -2,26 ± 2,51 206 RSN_4pmol -2,27 ± 0,55 1375 TCTE3_2pmol -2,27 ± 1,35 721 KIF21B_2pmol -2,29 ± 1,51 [...] l 2,16 ± 0,48 1797 C330008L01RIK_0,5pmol 2,15 ± 0,75 939 Mast3_2pmol 2,11 ± 2,51 1981 TACC3_2pmol 2,11 ± 0,76 729 LOC668303_2pmol 2,11 ± 1,13 1013 6430517J16RIK_2pmol 2,08 ± 0,55 489 EML1_2pmol 2,07 ± [...] 1543 TUBA4_0,5pmol 2,05 ± 1,52 249 DCTN5_2pmol 2,05 ± 0,43 980 MID2_4pmol 2,04 ± 2,92 102 BBS1_1pmol 2,03 ± 0,47 390 DSP_1pmol 2,02 ± 2,83 1309 STMN2_0,5pmol 2,02 ± 1,15 408 DPYSL2_4pmol 2,02 ± 0,71 1502 …

51 2.44 29 2.18 50 2.42 65 2.31 80 1.91 62 2.34 55 2.41 55 2.40 37 2.34 63 2.35 76 2.03 71 2.17 73 2.14 40 2.38 26 2.93 Bayern 43 2.27 32 2.13 43 2.26 62 2.21 74 2.02 65 2.18 57 2.25 55 2.26 39 2.23 61 [...] 52 2.39 40 2.35 63 2.30 67 2.24 68 2.22 68 2.22 36 2.30 17 2.20 Rheinland-Pfalz 54 2.85 24 2.40 37 2.74 72 2.52 74 2.41 71 2.58 61 2.76 62 2.73 43 2.82 71 2.56 78 2.38 74 2.50 77 2.41 27 2.59 17 2.64 Saarland [...] n 51 2.96 27 2.66 49 2.96 69 2.71 75 2.53 68 2.76 59 2.90 59 2.89 46 2.96 69 2.72 80 2.38 77 2.49 78 2.47 48 2.96 17 2.92 Nordrhein-Westfalen 52 2.40 31 2.20 48 2.40 66 2.24 67 2.26 59 2.34 50 2.39 52 …

µτ(κ) + κ− lτ(κ) )2λ−2 ) 1≤κ≤k 1≤λ≤n = (( 1 2 − 2lτ(κ) + κ )2λ−2 + ( −1 2 + κ )2λ−2 ) 1≤κ≤k 1≤λ≤n = (( −1 2 + 2lτ(κ) − κ )2λ−2 + ( −1 2 + κ )2λ−2 ) 1≤κ≤k 1≤λ≤n ∼p (( −1 2 + κ )2λ−2 ) 1≤κ≤k 1≤λ≤n . Dabei folgt [...] 1, 2, 4, . . . , 2(n−m)) −Rn(1, 3, . . . , 2m− 3, 2(n−m + 1), 2, 4, . . . , 2(n−m)) = ∑ 1≤κ≤m−1 ν2(2m− 1− 2κ + 1)− ∑ 1≤κ≤n−m ν2(2(n−m + 1)− 2κ) = ∑ 1≤κ≤m−1 ν2(2(m− κ))− ∑ 1≤κ≤n−m ν2(2(n−m + 1− κ)) = ∑ 1≤κ≤m−1 [...] l}︷ ︸︸ ︷ x2λ−2 κ + y2λ−2 κ l∑ k=0 ( 2l+1 2k ) 2 ( x2k κ + y2k κ ) (1− xκ) 2λ−1 + (1 + xκ) 2λ−1 + (1− yκ) 2λ−1 + (1 + yκ) 2λ−1︸ ︷︷ ︸ λ∈{l+2,...,n}   1≤κ≤n (∗∗) = 2l+1 l+1∏ ν=1 (2ν − 1) · det  …

1,612 1,733 2,172 2,065 2,191 1,596 3,345 5,517 5,852 5,773 5,596 1,122 1,050 2,957 2,895 4,079 3,945 8,024 2,172 5,852 8 2 4 5166032 Viersen, Stadt 15,211 2,157 2,250 2,873 2,828 2,791 2,312 4,407 7,280 [...] 779 2,008 2,207 2,612 2,534 2,516 1,902 4,215 6,827 6,952 7,104 6,675 1,354 1,258 3,574 3,378 4,928 4,636 9,564 2,612 6,952 7 1 4 5562004 Castrop-Rauxel, Stadt 13,850 1,977 2,087 2,626 2,477 2,595 2,088 [...] Kreis 443 49.2 26.2 14.2 49.2 3 4 2 5566000 Steinfurt, Kreis 286 42.7 29.0 11.5 54.2 3 3 2 5978000 Unna, Kreis 195 44.6 27.2 12.8 55.9 3 4 2 5166000 Viersen, Kreis 266 72.6 13.2 13.9 15.4 3 4 2 5570000 Warendorf …

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−12ηm2 64π2 (Lε − ln m2 µ2 + 1) , (2.26) δm2 = 3 32π2 (12η2 + λm2) ( Lε − ln m2 µ2 ) + 3λm2 32π2 , (2.27) δη = 9ηλ 32π2 ( Lε − ln m2 µ2 ) + δηf , (2.28) δλ = 9λ2 32π2 ( Lε − ln m2 µ2 ) + δλf . (2.29) The [...] − ε 2 ln m2 + ω(1 − ω)q2 µ2 ) = Lε 16π2 − 1 16π2 ∫ 1 0 dω ln −ω2q2 + ωq2 +m2 µ2 = Lε 16π2 − 1 16π2 ∫ 1 0 dω [ ln(ω q µ − q + √ q2 + 4m2 2µ ) + ln(−ω q µ + q − √ q2 + 4m2 2µ ) ] = Lε − lnm2/µ2 16π2 − 1 16π2 [...] = m2 2 φ2 − ηφ3 + λ 8 φ4 + 1 2 ln det 2 + M2 2 +m2 − 3λ 8 ∆2(x) + δU(φ) = m2 2 φ2 − ηφ3 + λ 8 φ4 − M4 64π2 ( Lε − ln M2 µ2 + 3 2 ) + m4 64π2 ( Lε − ln m2 µ2 + 3 2 ) − 3λ 8 ∆2(x) + δU(φ) . (C.2) In this …

815 726 2,450 2,080 3,265 2,806 6,071 1,541 4,530 8 2 4 5382068 Troisdorf, Stadt 15,663 2,299 2,170 2,998 2,874 2,936 2,386 4,469 7,467 8,196 8,098 7,565 1,522 1,476 4,264 3,932 5,786 5,408 11,194 2,998 8 [...] 176.8 197.2 175.9 165.7 88.1 164.2 43.1 60.2 81.7 60.2 11.5 52.0 2.2 26.7 56.5 153.6 65.1 56.7 Jugendamtstyp 9 190.3 327.5 359.4 340.8 194.0 276.2 136.4 220.2 224.0 170.2 97.0 168.0 49.2 72.5 68.2 55.5 25 [...] Bergkamen, Stadt 4 1 3 2 5711000 Bielefeld, krfr. Stadt 2 2 1 2 5554008 Bocholt, Stadt 9 3 4 2 5911000 Bochum, krfr. Stadt 1 1 1 2 5314000 Bonn, krfr. Stadt 2 2 1 1 5554000 Borken, Kreis 3 4 2 2 5554012 Borken …