id sid eid entity type cana-4553 1 1 1074 CARDINAL cana-4553 1 2 32 CARDINAL cana-4553 2 1 9s CARDINAL cana-4553 2 2 2754 CARDINAL cana-4553 3 1 ashutosh mishra1 PERSON cana-4553 3 2 piyush kumar tripathi2 PERSON cana-4553 3 3 kumar singh3 PERSON cana-4553 3 4 manisha gupta4 GPE cana-4553 3 5 alok kumar agrawal5 1,2,5department PERSON cana-4553 3 6 amity university uttar pradesh ORG cana-4553 3 7 lucknow ORG cana-4553 3 8 india GPE cana-4553 3 9 p. g. college PERSON cana-4553 3 10 kanpur GPE cana-4553 3 11 india 4university of technology ORG cana-4553 3 12 1amishra94154@gmail.com CARDINAL cana-4553 3 13 1ashutosh.mishra8@s.amity.edu CARDINAL cana-4553 3 14 2pktripathi@amity.edu CARDINAL cana-4553 3 15 3mksinghuptti@gmail.com CARDINAL cana-4553 3 16 4manisha.gupta@utas.edu.om CARDINAL cana-4553 3 17 5akagrawal@lko.amity.edu CARDINAL cana-4553 3 18 12-01-2025 CARDINAL cana-4553 3 19 15-02-2025 CARDINAL cana-4553 3 20 01-03-2025 CARDINAL cana-4553 4 1 one CARDINAL cana-4553 11 1 1 CARDINAL cana-4553 17 1 8 CARDINAL cana-4553 18 1 mailto:manisha.gupta@utas.edu.om PERSON cana-4553 18 2 1074 CARDINAL cana-4553 18 3 32 CARDINAL cana-4553 19 1 9s CARDINAL cana-4553 19 2 2755 CARDINAL cana-4553 22 1 8 CARDINAL cana-4553 25 1 10 CARDINAL cana-4553 27 1 9 CARDINAL cana-4553 28 1 healthcare ORG cana-4553 33 1 the year 1940 DATE cana-4553 35 1 11 CARDINAL cana-4553 35 2 14 CARDINAL cana-4553 44 1 pms ORG cana-4553 45 1 1074 CARDINAL cana-4553 45 2 32 CARDINAL cana-4553 46 1 9s CARDINAL cana-4553 46 2 2756 CARDINAL cana-4553 47 1 2 CARDINAL cana-4553 48 1 3 CARDINAL cana-4553 48 2 pms ORG cana-4553 48 3 two CARDINAL cana-4553 49 1 pms ORG cana-4553 50 1 3.1 CARDINAL cana-4553 51 1 11 CARDINAL cana-4553 51 2 𝐹(0 PERSON cana-4553 51 3 0 CARDINAL cana-4553 52 1 1 CARDINAL cana-4553 55 1 3.2 CARDINAL cana-4553 56 1 11 CARDINAL cana-4553 58 1 i. t(π‘Ž PERSON cana-4553 58 2 1 CARDINAL cana-4553 60 1 t(π‘Ž PERSON cana-4553 65 1 pms ORG cana-4553 65 2 i. non-negativity PERSON cana-4553 65 3 0 CARDINAL cana-4553 67 1 π‘ƒπ‘Žπ‘›π‘‘ PERSON cana-4553 67 2 ∈ 𝑃. iii. PERSON cana-4553 68 1 𝑧)(𝑑 ORG cana-4553 68 2 sup𝑒+𝑣=𝑑 NORP cana-4553 68 3 𝑦)(𝑒 PERSON cana-4553 72 1 3.1 CARDINAL cana-4553 72 2 4 CARDINAL cana-4553 73 1 two CARDINAL cana-4553 73 2 𝑓(𝑦))(𝑑 DATE cana-4553 73 3 ∈ ORG cana-4553 73 4 ∈ ORG cana-4553 75 1 1074 CARDINAL cana-4553 75 2 32 CARDINAL cana-4553 76 1 9s CARDINAL cana-4553 76 2 2757 CARDINAL cana-4553 91 1 1. CARDINAL cana-4553 92 1 2 CARDINAL cana-4553 93 1 3 CARDINAL cana-4553 94 1 4 CARDINAL cana-4553 94 2 convergence PERSON cana-4553 95 1 1. CARDINAL cana-4553 97 1 2 CARDINAL cana-4553 97 2 1074 CARDINAL cana-4553 97 3 32 CARDINAL cana-4553 98 1 9s CARDINAL cana-4553 98 2 2025 DATE cana-4553 98 3 2758 CARDINAL cana-4553 99 1 𝑇(π‘₯𝑖 ORG cana-4553 102 1 3 CARDINAL cana-4553 104 1 4 CARDINAL cana-4553 104 2 convergence PERSON cana-4553 105 1 2d DATE cana-4553 105 2 three CARDINAL cana-4553 109 1 1.0 CARDINAL cana-4553 109 2 1.5 CARDINAL cana-4553 109 3 1.8 CARDINAL cana-4553 109 4 5.0 CARDINAL cana-4553 109 5 8.0 CARDINAL cana-4553 109 6 8.0 CARDINAL cana-4553 109 7 8.0 CARDINAL cana-4553 109 8 1.0 CARDINAL cana-4553 109 9 0.6 CARDINAL cana-4553 109 10 9.0 CARDINAL cana-4553 109 11 11.0 CARDINAL cana-4553 109 12 2 CARDINAL cana-4553 110 1 1.0 CARDINAL cana-4553 110 2 5.0 CARDINAL cana-4553 110 3 8.0 CARDINAL cana-4553 111 1 1 CARDINAL cana-4553 113 1 1 CARDINAL cana-4553 114 1 1 CARDINAL cana-4553 114 2 1 CARDINAL cana-4553 115 1 1.0 CARDINAL cana-4553 115 2 1.5 CARDINAL cana-4553 115 3 1.8 CARDINAL cana-4553 115 4 1.0 CARDINAL cana-4553 115 5 0.6 CARDINAL cana-4553 115 6 2 CARDINAL cana-4553 115 7 5.0 CARDINAL cana-4553 115 8 8.0 CARDINAL cana-4553 115 9 8.0 CARDINAL cana-4553 115 10 8.0 CARDINAL cana-4553 115 11 9.0 CARDINAL cana-4553 115 12 11.0 CARDINAL cana-4553 115 13 1 CARDINAL cana-4553 115 14 1.17 CARDINAL cana-4553 115 15 1.47 CARDINAL cana-4553 115 16 1074 CARDINAL cana-4553 115 17 32 CARDINAL cana-4553 116 1 9s CARDINAL cana-4553 116 2 2759 CARDINAL cana-4553 116 3 2 CARDINAL cana-4553 116 4 7.33 CARDINAL cana-4553 116 5 9.0 CARDINAL cana-4553 116 6 2 CARDINAL cana-4553 118 1 2 CARDINAL cana-4553 119 1 2 CARDINAL cana-4553 119 2 1 CARDINAL cana-4553 120 1 1.0 CARDINAL cana-4553 120 2 1.5 CARDINAL cana-4553 120 3 1.8 CARDINAL cana-4553 120 4 1.0 CARDINAL cana-4553 120 5 0.6 CARDINAL cana-4553 120 6 2 CARDINAL cana-4553 120 7 5.0 CARDINAL cana-4553 120 8 8.0 CARDINAL cana-4553 120 9 8.0 CARDINAL cana-4553 120 10 8.0 CARDINAL cana-4553 120 11 9.0 CARDINAL cana-4553 120 12 11.0 CARDINAL cana-4553 120 13 1 CARDINAL cana-4553 120 14 1.17 CARDINAL cana-4553 120 15 1.47 CARDINAL cana-4553 120 16 2 CARDINAL cana-4553 120 17 7.33 CARDINAL cana-4553 120 18 9.0 CARDINAL cana-4553 122 1 1 CARDINAL cana-4553 123 1 1.0 CARDINAL cana-4553 123 2 1.5 CARDINAL cana-4553 123 3 1.8 CARDINAL cana-4553 123 4 1.0 CARDINAL cana-4553 123 5 0.6 CARDINAL cana-4553 123 6 2 CARDINAL cana-4553 123 7 5.0 CARDINAL cana-4553 123 8 8.0 CARDINAL cana-4553 123 9 8.0 CARDINAL cana-4553 123 10 8.0 CARDINAL cana-4553 123 11 9.0 CARDINAL cana-4553 123 12 11.0 CARDINAL cana-4553 124 1 pnn)-a NORP cana-4553 128 1 1 CARDINAL cana-4553 129 1 2 CARDINAL cana-4553 129 2 16 CARDINAL cana-4553 130 1 1074 CARDINAL cana-4553 130 2 32 CARDINAL cana-4553 131 1 9s CARDINAL cana-4553 131 2 2760 CARDINAL cana-4553 131 3 16 CARDINAL cana-4553 133 1 1 CARDINAL cana-4553 134 1 2 CARDINAL cana-4553 135 1 3 CARDINAL cana-4553 136 1 4 CARDINAL cana-4553 137 1 5 CARDINAL cana-4553 138 1 6 CARDINAL cana-4553 138 2 2-5 DATE cana-4553 139 1 15 CARDINAL cana-4553 140 1 4 CARDINAL cana-4553 141 1 4.1 CARDINAL cana-4553 142 1 6 CARDINAL cana-4553 142 2 𝑃along PERSON cana-4553 142 3 ∈ ORG cana-4553 142 4 1 CARDINAL cana-4553 142 5 lim π‘›β†’βˆž 𝑇𝑖 PERSON cana-4553 143 1 1 CARDINAL cana-4553 143 2 𝐹-cauchy DATE cana-4553 144 1 generalized menger PERSON cana-4553 145 1 4.1 CARDINAL cana-4553 145 2 𝑇)a ORG cana-4553 145 3 𝑑-norm𝑇 PERSON cana-4553 145 4 1 CARDINAL cana-4553 146 1 0 CARDINAL cana-4553 146 2 1 CARDINAL cana-4553 146 3 ∈ ORG cana-4553 147 1 𝐹𝑓𝛼,𝑔𝛼(π‘₯ GPE cana-4553 148 1 ∈ ORG cana-4553 150 1 βŠ‚ GPE cana-4553 151 1 lim π‘›β†’βˆž 𝑇𝑖 PERSON cana-4553 151 2 𝐹𝑓𝛼0,𝑓𝛼1 GPE cana-4553 152 1 1for CARDINAL cana-4553 152 2 1 CARDINAL cana-4553 152 3 lim π‘›β†’βˆž 𝑇𝑖 PERSON cana-4553 152 4 𝐹𝑓𝛼0,𝑓𝛼1 GPE cana-4553 153 1 1 ( CARDINAL cana-4553 153 2 1 CARDINAL cana-4553 153 3 βŠ‚ GPE cana-4553 154 1 1074 CARDINAL cana-4553 154 2 32 CARDINAL cana-4553 155 1 9s CARDINAL cana-4553 155 2 2761 CARDINAL cana-4553 155 3 1 CARDINAL cana-4553 155 4 lim π‘›β†’βˆž PERSON cana-4553 156 1 𝐹𝑧0,𝑧1 CARDINAL cana-4553 157 1 1 CARDINAL cana-4553 157 2 𝐹𝑔𝛼𝑛,𝑔𝛼𝑛+1 CARDINAL cana-4553 157 3 0 CARDINAL cana-4553 157 4 𝑖. 𝑒. PERSON cana-4553 158 1 πΉπ‘§π‘›βˆ’1,𝑧𝑛 PERSON cana-4553 158 2 πΉπ‘§π‘›βˆ’1,𝑧𝑛 PERSON cana-4553 159 1 lemma ORG cana-4553 160 1 𝐹complete PERSON cana-4553 164 1 1 CARDINAL cana-4553 165 1 0 CARDINAL cana-4553 165 2 1 CARDINAL cana-4553 165 3 ∈ ORG cana-4553 166 1 βŠ‚ GPE cana-4553 168 1 4.2 CARDINAL cana-4553 168 2 𝑇)a ORG cana-4553 168 3 𝑑-norm𝑇 PERSON cana-4553 168 4 1 CARDINAL cana-4553 169 1 0 CARDINAL cana-4553 169 2 1 CARDINAL cana-4553 169 3 ∈ ORG cana-4553 170 1 𝐹𝑓𝛼,𝑔𝛼(π‘₯ GPE cana-4553 171 1 ∈ ORG cana-4553 173 1 βŠ‚ 𝑔(𝑃 ORG cana-4553 174 1 βˆƒ ORG cana-4553 174 2 lim π‘›β†’βˆž 𝑇𝑖 PERSON cana-4553 174 3 𝐹𝑓𝛼0,𝑓𝛼1 GPE cana-4553 175 1 1for CARDINAL cana-4553 175 2 1 CARDINAL cana-4553 176 1 𝐹complete PERSON cana-4553 179 1 𝐹complete PERSON cana-4553 179 2 ∈ 𝑔(𝑃 ORG cana-4553 180 1 = 𝛼. PERSON cana-4553 182 1 0 CARDINAL cana-4553 182 2 1074 CARDINAL cana-4553 182 3 32 CARDINAL cana-4553 183 1 9s CARDINAL cana-4553 183 2 2025 CARDINAL cana-4553 183 3 2762 CARDINAL cana-4553 183 4 𝛿(𝐹𝛼,𝑓𝛼(πœƒπ‘₯ CARDINAL cana-4553 183 5 𝐹𝛼,𝑓𝛼(π‘₯ CARDINAL cana-4553 183 6 1 CARDINAL cana-4553 184 1 0 CARDINAL cana-4553 185 1 positive,π‘₯ PERSON cana-4553 185 2 𝐹𝛼,𝑓𝛼(π‘₯ CARDINAL cana-4553 185 3 4.1 CARDINAL cana-4553 186 1 two CARDINAL cana-4553 186 2 𝐹𝛼,𝛽(π‘₯ DATE cana-4553 187 1 0β‡’ CARDINAL cana-4553 187 2 1 CARDINAL cana-4553 188 1 4.1 CARDINAL cana-4553 189 1 6 CARDINAL cana-4553 189 2 𝐻type NORP cana-4553 191 1 1 CARDINAL cana-4553 191 2 𝑇𝑛 PERSON cana-4553 191 3 1 CARDINAL cana-4553 192 1 ∈ ORG cana-4553 192 2 0,1)βˆƒ CARDINAL cana-4553 192 3 1 CARDINAL cana-4553 193 1 1 CARDINAL cana-4553 193 2 all 𝑛 β‰₯ 1 DATE cana-4553 194 1 4.1 CARDINAL cana-4553 195 1 6 CARDINAL cana-4553 196 1 lim PERSON cana-4553 196 2 1 CARDINAL cana-4553 196 3 1 CARDINAL cana-4553 200 1 π‘₯𝑛)π‘›βˆˆπ‘ PERSON cana-4553 200 2 lim PERSON cana-4553 200 3 𝑇𝑖π‘₯𝑛+𝑖 DATE cana-4553 201 1 1,for CARDINAL cana-4553 201 2 𝑖 = 𝑛 π‘‘π‘œ ∞. PERSON cana-4553 202 1 lim PERSON cana-4553 202 2 1 CARDINAL cana-4553 202 3 pms ORG cana-4553 203 1 4.2 CARDINAL cana-4553 204 1 6 CARDINAL cana-4553 205 1 0 CARDINAL cana-4553 206 1 zero CARDINAL cana-4553 208 1 0 CARDINAL cana-4553 208 2 lim PERSON cana-4553 208 3 1 CARDINAL cana-4553 208 4 0 CARDINAL cana-4553 208 5 0 1 DATE cana-4553 208 6 0 CARDINAL cana-4553 208 7 𝐷+ DATE cana-4553 209 1 4.2 CARDINAL cana-4553 209 2 asa ORG cana-4553 209 3 𝑑-norm𝑇 ∈ 𝐻 PERSON cana-4553 209 4 1 CARDINAL cana-4553 209 5 ∈ ORG cana-4553 210 1 𝐹𝑓𝛼,𝑔𝛼(π‘₯ GPE cana-4553 211 1 ∈ ORG cana-4553 213 1 βŠ‚ 𝑔(𝑃 ORG cana-4553 214 1 βˆƒ ORG cana-4553 214 2 𝐹𝑓𝛼0,𝑓𝛼1 ∈ 𝐷+ ORG cana-4553 215 1 𝐹complete ORG cana-4553 215 2 1074 CARDINAL cana-4553 215 3 32 CARDINAL cana-4553 216 1 9s CARDINAL cana-4553 216 2 2763 CARDINAL cana-4553 218 1 4.1 CARDINAL cana-4553 218 2 1 CARDINAL cana-4553 218 3 lim PERSON cana-4553 218 4 𝐹𝑧0,𝑧1 CARDINAL cana-4553 218 5 1 CARDINAL cana-4553 218 6 4.1 CARDINAL cana-4553 218 7 lim π‘›β†’βˆž PERSON cana-4553 219 1 𝐹𝑧0,𝑧1 CARDINAL cana-4553 220 1 1 CARDINAL cana-4553 220 2 4.2 CARDINAL cana-4553 221 1 5 CARDINAL cana-4553 221 2 12 CARDINAL cana-4553 228 1 1 CARDINAL cana-4553 228 2 sur les opΓ©rations dans les ORG cana-4553 228 3 aux Γ©quationsintΓ©grales ORG cana-4553 228 4 fundamenta mathematicae ORG cana-4553 228 5 3(1 CARDINAL cana-4553 229 1 2 CARDINAL cana-4553 229 2 k. menger PERSON cana-4553 229 3 the national academy of sciences ORG cana-4553 229 4 the united states of america GPE cana-4553 229 5 pp.535-537, 1942 LOC cana-4553 230 1 3 CARDINAL cana-4553 230 2 j. l. hodges PERSON cana-4553 231 1 4 CARDINAL cana-4553 231 2 21 CARDINAL cana-4553 231 3 randolph field ORG cana-4553 232 1 4 CARDINAL cana-4553 232 2 1(4 CARDINAL cana-4553 233 1 5 CARDINAL cana-4553 233 2 c. c. y. dorea PERSON cana-4553 233 3 brazilian NORP cana-4553 234 1 6 CARDINAL cana-4553 237 1 536 CARDINAL cana-4553 237 2 dordrecht ORG cana-4553 237 3 2001.https://doi.org/10.1007/978-94-017-1560-7_2 CARDINAL cana-4553 238 1 7 CARDINAL cana-4553 238 2 banerjee GPE cana-4553 238 3 s. merugu PERSON cana-4553 238 4 i. s. dhillon PERSON cana-4553 238 5 j. ghosh PERSON cana-4553 239 1 6 CARDINAL cana-4553 240 1 1705-1749, 2005 DATE cana-4553 241 1 8 CARDINAL cana-4553 241 2 t. hastie PERSON cana-4553 241 3 r. tibshirani PERSON cana-4553 241 4 j. friedman PERSON cana-4553 241 5 2nd ORDINAL cana-4553 241 6 2009 DATE cana-4553 242 1 1074 CARDINAL cana-4553 242 2 32 CARDINAL cana-4553 243 1 9s CARDINAL cana-4553 243 2 2025 CARDINAL cana-4553 243 3 2764 CARDINAL cana-4553 244 1 9 CARDINAL cana-4553 244 2 i. goodfellow PERSON cana-4553 244 3 y. bengio PERSON cana-4553 244 4 a. courville PERSON cana-4553 244 5 2016 DATE cana-4553 245 1 10 CARDINAL cana-4553 245 2 r. s. suttonand a. g. barto PERSON cana-4553 245 3 2nd ORDINAL cana-4553 246 1 mit press ORG cana-4553 246 2 2018 DATE cana-4553 247 1 11 CARDINAL cana-4553 247 2 a. mishra PERSON cana-4553 247 3 p. k. tripathi PERSON cana-4553 247 4 a. k. agrawal PERSON cana-4553 247 5 d. r. joshi PERSON cana-4553 247 6 83 DATE cana-4553 248 1 737 CARDINAL cana-4553 248 2 2020 DATE cana-4553 249 1 12 CARDINAL cana-4553 249 2 a. mishra PERSON cana-4553 249 3 403 CARDINAL cana-4553 249 4 icmsci-2020 DATE cana-4553 249 5 2020 DATE cana-4553 249 6 35 CARDINAL cana-4553 250 1 13 CARDINAL cana-4553 250 2 v. fortuin PERSON cana-4553 250 3 o. e. ganeaand m. welling PERSON cana-4553 250 4 2021 CARDINAL cana-4553 251 1 14 CARDINAL cana-4553 251 2 a. mishra PERSON cana-4553 251 3 p. k. PERSON cana-4553 252 1 taylor PERSON cana-4553 252 2 francis PERSON cana-4553 252 3 crc press ORG cana-4553 252 4 uk GPE cana-4553 252 5 pp.466-72 ORG cana-4553 252 6 2024 DATE cana-4553 253 1 15 CARDINAL cana-4553 253 2 a. mishra PERSON cana-4553 253 3 p. k. PERSON cana-4553 254 1 grenze international journal of engineering ORG cana-4553 254 2 10 CARDINAL cana-4553 254 3 1 CARDINAL cana-4553 254 4 711-715 QUANTITY cana-4553 254 5 2024 DATE cana-4553 255 1 16 CARDINAL cana-4553 255 2 a. mishra PERSON cana-4553 255 3 p. k. PERSON cana-4553 256 1 grenze international journal of engineering ORG cana-4553 256 2 11 CARDINAL cana-4553 256 3 1 CARDINAL cana-4553 256 4 4703-4708 DATE cana-4553 256 5 2025 DATE