.de/signposting/linksets/b5de9d1d-a1c1-4b14-8170-2e091e0c6918","type":"application/linkset"},{"href":"https://eldorado.tu-dortmund.de/signposting/linksets/b5de9d1d-a1c1-4b14-8170-2e091e0c6918/json","t [...] de/signposting/describedby/b5de9d1d-a1c1-4b14-8170-2e091e0c6918","type":"application/vnd.datacite.datacite+xml"}],"anchor":"https://eldorado.tu-dortmund.de/items/b5de9d1d-a1c1-4b14-8170-2e091e0c6918","cit [...] do.tu-dortmund.de/items/b5de9d1d-a1c1-4b14-8170-2e091e0c6918","type":"text/html"}],"linkset":[{"href":"https://eldorado.tu-dortmund.de/signposting/linksets/b5de9d1d-a1c1-4b14-8170-2e091e0c6918","type" …

linksets/cc17d426-e8e4-4d1b-b07a-c3fbf1e66ec1","type":"application/linkset"},{"href":"https://eldorado.tu-dortmund.de/signposting/linksets/cc17d426-e8e4-4d1b-b07a-c3fbf1e66ec1/json","type":"applicatio [...] bedby/cc17d426-e8e4-4d1b-b07a-c3fbf1e66ec1","type":"application/vnd.datacite.datacite+xml"}],"anchor":"https://eldorado.tu-dortmund.de/items/cc17d426-e8e4-4d1b-b07a-c3fbf1e66ec1","cite-as":[{"href":"http://hdl [...] de/items/cc17d426-e8e4-4d1b-b07a-c3fbf1e66ec1","type":"text/html"}],"linkset":[{"href":"https://eldorado.tu-dortmund.de/signposting/linksets/cc17d426-e8e4-4d1b-b07a-c3fbf1e66ec1","type":"application/linkset"} …

(1 + εt)t ) Pr{Xt−1 = i} − 1 t ∣∣∣∣+ 1 2 ∣∣∣∣Pr{Xt= t} − 1 t ∣∣∣∣ (4.57) ≤ 1 2 ( 1− 1 (1 + εt)t ) t−1∑ i=1 ∣∣∣∣Pr{Xt−1 = i} − 1 t− 1 ∣∣∣∣ + 1 2 t−1∑ i=1 ∣∣∣∣(1− 1 (1 + εt)t ) 1 t− 1 − 1 t ∣∣∣∣ + 1 2 ∣∣∣∣Pr{Xt= [...] q) = 1 2 ∑ ω1∈Ω1,ω2∈Ω2 |(q1(ω1) + δ1(ω1))(q2(ω2) + δ2(ω2))− q1(ω1)q2(ω2)| (2.45) = 1 2 ∑ ω1∈Ω1,ω2∈Ω2 ∣∣∣∣δ1(ω1) ( q2(ω2) + 1 2 δ2(ω2) ) + δ2(ω2) ( q1(ω1) + 1 2 δ1(ω1) )∣∣∣∣ (2.46) ≤ 1 2 ∑ ω1∈Ω1,ω2∈Ω2 [...] F̃i+1 and by Proposition 2.2.12, we have H(F̃i+1(1)|F−(i+1), T1,i−1) = H(Fi+1(F̃i(1))|F−(i+1), T1,i−1, F̃i(1)) (3.113) = n∑ p=1 Pr{F̃i(1)=p} ·H(Fi+1(p)|F−(i+1), T1,i−1, F̃i(1)=p) (3.114) = n∑ p=1 Pr{F̃i(1)=p} …

λ−1y1, λ −1y2, . . .). Then λBx1 = y and ‖x1‖ = 1 |λ| ‖y‖. Now U(x1 ⊕ 0) = x1 with ‖x1 ⊕ 0‖l∞⊕l∞ = ‖x1‖∞. Choose now z1 ∈ l∞ with Jz1 = (x1, 0). Then ‖z1‖ ≤ ∥∥J−1∥∥ ‖(x1, 0)‖ ≤ ∥∥J−1∥∥ · ‖x1‖ ≤ ‖J−1‖|λ| [...] Take yn1 with n1 ≥ 1 large enough, such that ‖yn1 − y‖ < 1. Since yn1 ∈ JT(xn1), choose z1 with ‖z1 − xn1‖ < 1 and t1 ≥ 1 such that ‖Tt1z1 − yn1‖ < 1. Next choose yn2 with n2 > n1 and ‖yn2 − y‖ < 1 2 and [...] in particular ‖xn‖ ≤ 1 |a| 1 |1− |zn|| · . . . · 1 |1− |z2|| 1 |1− |z1|| ‖y‖ and therefore ‖xn‖ ≤ q ‖y‖, where q := 1 |a| 1 |1− |zn|| · . . . · 1 |1− |z2|| 1 |1− |z1|| < 1 by our assumption. Finally we have …

minimal, y′ ≤ (1− 1 k )y holds. Since ε ≤ 1 m ≤ 1 k and k ≤ y, we have (1 + ε)(1 + y′) ≤ 1 + ε + (1 + ε) „ 1− 1 k « y ≤ 1 + y k2 + „ 1 + 1 k «„ 1− 1 k « y = 1 + y . This implies 1 + log(1 + y′) log(1 + ε) ≤ log(1 [...] k + 1 i ! ≤ k k/2 ! kX i=0 k + 1 i ! = O(k−1/222k+1) For the case aj(x)− bj(x) = −1 we get kX i=1 k i ! k + 1 i− 1 ! = O(k−1/222k+1) For the case aj(x)− bj(x) = 1 we get kX i=0 k i ! k + 1 i + 1 ! = [...] out to be useful later. 1 1 1 1 + ε 1 + ε 1 + ε 1 + ε 1 1 (k + 1 edges) (k edges) v s t Figure 3. Graph Hk Let a(x) denote the cardinality of E(x) intersected with the set of 1-edges, and let b(x) := |E(x)| …

d.de/bitstreams/d49a8f1c-5274-4e5c-8c43-057d1e571391/download> ; rel="item" ; type="application/pdf" ; anchor="https://eldorado.tu-dortmund.de/items/f0e1f896-481f-4f07-9f26-50f1ac4d18a6" , <https://eldorado [...] ribedby/f0e1f896-481f-4f07-9f26-50f1ac4d18a6> ; rel="describedby" ; type="application/vnd.datacite.datacite+xml" ; anchor="https://eldorado.tu-dortmund.de/items/f0e1f896-481f-4f07-9f26-50f1ac4d18a6" , [...] anchor="https://eldorado.tu-dortmund.de/items/f0e1f896-481f-4f07-9f26-50f1ac4d18a6" , <https://eldorado.tu-dortmund.de/signposting/linksets/f0e1f896-481f-4f07-9f26-50f1ac4d18a6> ; rel="linkset" ; type="applica …

Strengthening university capacity in regional innovation ecosystem through the participation in the

GSS S1I<I%1 + 0 / GSS S1I2822I1 "$ ?@& R 7 & ? $ A" ] + * G ' + 7! 7 4 4 !^ , 1% 1G %21V%<% GSS S1<S1%1%21 F ]D ( D ! ^ Q <& % GSSF S ( ! S . & 7& D " 6 & 1 ]4 * [...] (1 1=1G1V + 1 ; 1& ( ( ! " < =11 21 " 8 1 > % 21 & GSS''' S S%<=8<S I=8I1 & 6 & $ : & : & . 7 (!' ( <' ! " 4 ( 1 .G 5 & 5 ! 6 4 [...] = G 1<V 1%% GSS S118S%<f%=I8% :( "& + 1< ]C ,- ! G 4! ^ ( ( " 4 & 1I1V1<2 D N! O& D ( 1I ] 4! * & D ^ * " 21 " )1 +& ! 5 , - Q 4 & ! 6 G 4 GSS S1 12 …

Strengthening university capacity in regional innovation ecosystem through the participation in the

GSS S1I<I%1 + 0 / GSS S1I2822I1 "$ ?@& R 7 & ? $ A" ] + * G ' + 7! 7 4 4 !^ , 1% 1G %21V%<% GSS S1<S1%1%21 F ]D ( D ! ^ Q <& % GSSF S ( ! S . & 7& D " 6 & 1 ]4 * [...] (1 1=1G1V + 1 ; 1& ( ( ! " < =11 21 " 8 1 > % 21 & GSS''' S S%<=8<S I=8I1 & 6 & $ : & : & . 7 (!' ( <' ! " 4 ( 1 .G 5 & 5 ! 6 4 [...] = G 1<V 1%% GSS S118S%<f%=I8% :( "& + 1< ]C ,- ! G 4! ^ ( ( " 4 & 1I1V1<2 D N! O& D ( 1I ] 4! * & D ^ * " 21 " )1 +& ! 5 , - Q 4 & ! 6 G 4 GSS S1 12 …

201446 57,0 1,0 184317 59,0 1,0 201449 57,0 1,0 184346 34,0 3,0 201453 35,5 3,0 185998 53,0 1,3 201455 57,5 1,0 189188 19,5 n.b. 201460 38,5 2,7 189619 32,0 3,3 201462 49,0 1,3 190330 54,0 1,0 201468 33 [...] 201081 53,5 1,3 201778 54,5 1,0 201082 50,0 1,3 201858 11,5 n.b. 201110 27,0 3,7 202019 43,0 2,0 201135 13,0 n.b. 202246 52,5 1,3 201160 35,0 3,0 202248 54,0 1,0 201170 56,0 1,0 204837 50,0 1,3 201186 32 [...] 201275 14,0 n.b. 204853 51,0 1,3 201276 1,5 n.b. 204869 17,5 n.b. 201277 37,0 2,7 204884 52,5 1,3 201287 51,5 1,3 204889 42,5 2,0 201308 14,0 n.b. 204890 40,5 2,3 201310 48,5 1,3 205307 39,0 2,3 Rudolph …

201446 57,0 1,0 184317 59,0 1,0 201449 57,0 1,0 184346 34,0 3,0 201453 35,5 3,0 185998 53,0 1,3 201455 57,5 1,0 189188 19,5 n.b. 201460 38,5 2,7 189619 32,0 3,3 201462 49,0 1,3 190330 54,0 1,0 201468 33 [...] 201081 53,5 1,3 201778 54,5 1,0 201082 50,0 1,3 201858 11,5 n.b. 201110 27,0 3,7 202019 43,0 2,0 201135 13,0 n.b. 202246 52,5 1,3 201160 35,0 3,0 202248 54,0 1,0 201170 56,0 1,0 204837 50,0 1,3 201186 32 [...] 201275 14,0 n.b. 204853 51,0 1,3 201276 1,5 n.b. 204869 17,5 n.b. 201277 37,0 2,7 204884 52,5 1,3 201287 51,5 1,3 204889 42,5 2,0 201308 14,0 n.b. 204890 40,5 2,3 201310 48,5 1,3 205307 39,0 2,3 Rudolph …