id sid eid entity type cana-327 1 1 1074 CARDINAL cana-327 1 2 31 CARDINAL cana-327 1 3 1 CARDINAL cana-327 1 4 2024 CARDINAL cana-327 2 1 82 CARDINAL cana-327 2 2 second ORDINAL cana-327 2 3 s. kaleeswari 1 PERSON cana-327 2 4 j. gowri PERSON cana-327 2 5 2 1,2 CARDINAL cana-327 2 6 nallamuthu gounder mahalingam college ORG cana-327 2 7 tamilnadu GPE cana-327 2 8 india GPE cana-327 3 1 15-09-2023 CARDINAL cana-327 3 2 24 CARDINAL cana-327 3 3 18-11-2023 CARDINAL cana-327 3 4 second ORDINAL cana-327 4 1 zero CARDINAL cana-327 6 1 second ORDINAL cana-327 7 1 msc PERSON cana-327 7 2 39a10 CARDINAL cana-327 8 1 1 CARDINAL cana-327 8 2 second ORDINAL cana-327 10 1 0 CARDINAL cana-327 11 1 1 CARDINAL cana-327 11 2 {π‘ž(β„˜ PERSON cana-327 11 3 0 CARDINAL cana-327 12 1 1 CARDINAL cana-327 13 1 1 CARDINAL cana-327 16 1 recent years DATE cana-327 17 1 1 CARDINAL cana-327 18 1 9 CARDINAL cana-327 19 1 second ORDINAL cana-327 21 1 10 CARDINAL cana-327 22 1 14 CARDINAL cana-327 22 2 zero CARDINAL cana-327 23 1 1 CARDINAL cana-327 23 2 1074 CARDINAL cana-327 23 3 31 CARDINAL cana-327 23 4 1 CARDINAL cana-327 23 5 2024 CARDINAL cana-327 23 6 83 DATE cana-327 24 1 2 CARDINAL cana-327 25 1 2 CARDINAL cana-327 28 1 2.1 CARDINAL cana-327 29 1 2 CARDINAL cana-327 29 2 1 CARDINAL cana-327 29 3 one CARDINAL cana-327 29 4 two CARDINAL cana-327 29 5 0 CARDINAL cana-327 29 6 δ𝑠(β„˜ PERSON cana-327 29 7 0 CARDINAL cana-327 29 8 Ξ΄(π‘Ÿ(β„˜)δ𝑠(β„˜ ORG cana-327 30 1 δ𝑠(β„˜ PERSON cana-327 30 2 0 CARDINAL cana-327 30 3 Ξ΄(π‘Ÿ(β„˜)δ𝑠(β„˜ ORG cana-327 31 1 β„˜0 ORG cana-327 35 1 0 CARDINAL cana-327 38 1 1 CARDINAL cana-327 38 2 Ξ΄(π‘Ÿ(β„˜)δ𝑠(β„˜ ORG cana-327 41 1 3 CARDINAL cana-327 41 2 one CARDINAL cana-327 41 3 βˆƒ β„˜2 PERSON cana-327 41 4 0 CARDINAL cana-327 42 1 δ𝑠(β„˜ PERSON cana-327 43 1 δ𝑠(β„˜ PERSON cana-327 44 1 0 CARDINAL cana-327 45 1 βˆ’ 𝑑1 βˆ‘ PERSON cana-327 45 2 1 π‘Ÿ(𝑖 PERCENT cana-327 46 1 2 CARDINAL cana-327 46 2 two CARDINAL cana-327 47 1 βˆƒ ORG cana-327 47 2 β„˜π‘› DATE cana-327 49 1 1074 CARDINAL cana-327 49 2 31 CARDINAL cana-327 49 3 1 CARDINAL cana-327 49 4 2024 CARDINAL cana-327 51 1 β„˜0 ≀ ORG cana-327 51 2 β„˜0 ≀ ORG cana-327 51 3 𝑧(β„˜π‘› TIME cana-327 54 1 βˆ’ 𝑝(β„˜π‘›)𝑧𝛾1(𝜏1(β„˜π‘› PERSON cana-327 55 1 βˆ’ 𝑝(β„˜π‘›)𝑧𝛾1βˆ’1(β„˜π‘› PERSON cana-327 56 1 ∈ ORG cana-327 57 1 2.2 CARDINAL cana-327 58 1 2 CARDINAL cana-327 59 1 1 CARDINAL cana-327 59 2 2.1 CARDINAL cana-327 60 1 4 CARDINAL cana-327 62 1 𝑅2 CARDINAL cana-327 64 1 β„˜βˆ’1 ORG cana-327 65 1 5 CARDINAL cana-327 66 1 π‘Ÿ(β„˜)π‘Œ(β„˜)π‘Œ(𝑙 + 1 DATE cana-327 68 1 2.3 CARDINAL cana-327 69 1 2 CARDINAL cana-327 71 1 6 CARDINAL cana-327 71 2 lim β„˜β†’βˆž β€Šsup PERSON cana-327 71 3 1 CARDINAL cana-327 71 4 βˆ’1(𝜎1(𝑒 LOC cana-327 72 1 0 CARDINAL cana-327 72 2 7 CARDINAL cana-327 72 3 1 CARDINAL cana-327 74 1 1 CARDINAL cana-327 75 1 0 CARDINAL cana-327 76 1 0 CARDINAL cana-327 77 1 lemma 2.1 ORG cana-327 78 1 1074 CARDINAL cana-327 78 2 31 CARDINAL cana-327 78 3 1 CARDINAL cana-327 78 4 first ORDINAL cana-327 80 1 1 CARDINAL cana-327 80 2 Ξ΄(π‘Ÿ(β„˜)δ𝑠(β„˜ ORG cana-327 82 1 8) CARDINAL cana-327 82 2 4 CARDINAL cana-327 82 3 δ𝑦(β„˜ ORG cana-327 83 1 δ𝑦(β„˜) + π‘ž(β„˜)π‘Œπ›Ύ2(𝜎1(β„˜))𝑦𝛾2(𝜎1(β„˜ ORG cana-327 83 2 9 CARDINAL cana-327 83 3 6 CARDINAL cana-327 83 4 6 CARDINAL cana-327 83 5 9 CARDINAL cana-327 84 1 2.1 CARDINAL cana-327 87 1 1 CARDINAL cana-327 88 1 10 CARDINAL cana-327 88 2 10 CARDINAL cana-327 88 3 1 CARDINAL cana-327 88 4 Ξ΄(π‘Ÿ(β„˜)δ𝑠(β„˜ ORG cana-327 92 1 11 CARDINAL cana-327 93 1 0 CARDINAL cana-327 96 1 12 CARDINAL cana-327 96 2 11 CARDINAL cana-327 96 3 12 CARDINAL cana-327 98 1 ∞ 𝑗=β„˜1 QUANTITY cana-327 99 1 1074 CARDINAL cana-327 99 2 31 CARDINAL cana-327 99 3 1 CARDINAL cana-327 99 4 2024 CARDINAL cana-327 99 5 86 CARDINAL cana-327 99 6 7 CARDINAL cana-327 99 7 7 CARDINAL cana-327 99 8 lim β„˜β†’βˆž β€Šsup PERSON cana-327 99 9 1 QUANTITY cana-327 99 10 π‘š=𝑗1 π‘ž(π‘š PERSON cana-327 101 1 11 CARDINAL cana-327 101 2 1 CARDINAL cana-327 103 1 1 CARDINAL cana-327 105 1 1 CARDINAL cana-327 105 2 π‘š=𝑗3 π‘ž(π‘š PERSON cana-327 107 1 1 CARDINAL cana-327 107 2 π‘š=𝑗3 π‘ž(π‘š PERSON cana-327 108 1 13 CARDINAL cana-327 110 1 1βˆ’ TIME cana-327 110 2 1 CARDINAL cana-327 110 3 0 CARDINAL cana-327 110 4 β„˜β†’βˆž GPE cana-327 112 1 1 CARDINAL cana-327 112 2 π‘š=𝑗3 π‘ž(π‘š PERSON cana-327 113 1 7 CARDINAL cana-327 114 1 2.4 DATE cana-327 115 1 1 CARDINAL cana-327 115 2 2 CARDINAL cana-327 116 1 lim π‘‘β†’βˆž PERSON cana-327 116 2 1 CARDINAL cana-327 116 3 14 CARDINAL cana-327 116 4 1 CARDINAL cana-327 116 5 zero CARDINAL cana-327 117 1 1 CARDINAL cana-327 117 2 0 CARDINAL cana-327 117 3 0 CARDINAL cana-327 118 1 2.1 CARDINAL cana-327 118 2 2.1 CARDINAL cana-327 119 1 δ𝑦(β„˜ ORG cana-327 122 1 15 CARDINAL cana-327 122 2 1074 CARDINAL cana-327 122 3 31 CARDINAL cana-327 122 4 1 CARDINAL cana-327 122 5 2024 CARDINAL cana-327 122 6 87 DATE cana-327 122 7 6 CARDINAL cana-327 122 8 14 CARDINAL cana-327 122 9 15 CARDINAL cana-327 123 1 2.1 CARDINAL cana-327 124 1 0 CARDINAL cana-327 127 1 2.1 CARDINAL cana-327 127 2 z ORG cana-327 128 1 limβ„˜β†’βˆž β€Šπ‘§(β„˜ GPE cana-327 128 2 0 ≀ QUANTITY cana-327 129 1 0 CARDINAL cana-327 130 1 βˆ’ 𝑝(β„˜π‘›)𝑧𝛾1(𝜏1(β„˜π‘› PERSON cana-327 131 1 1 CARDINAL cana-327 134 1 0 CARDINAL cana-327 135 1 3 CARDINAL cana-327 135 2 3.1 CARDINAL cana-327 136 1 second ORDINAL cana-327 137 1 1 3 CARDINAL cana-327 137 2 2 CARDINAL cana-327 138 1 + 8β„˜ DATE cana-327 138 2 3 CARDINAL cana-327 138 3 1 CARDINAL cana-327 138 4 16 CARDINAL cana-327 139 1 2 CARDINAL cana-327 139 2 3 CARDINAL cana-327 139 3 1 CARDINAL cana-327 139 4 1/3 CARDINAL cana-327 139 5 1/5 CARDINAL cana-327 140 1 6 CARDINAL cana-327 140 2 7 CARDINAL cana-327 141 1 2.3 CARDINAL cana-327 141 2 16 CARDINAL cana-327 141 3 3.2 CARDINAL cana-327 142 1 second ORDINAL cana-327 142 2 1 β„˜ Ξ΄ QUANTITY cana-327 142 3 1 3 CARDINAL cana-327 142 4 2 CARDINAL cana-327 143 1 3 CARDINAL cana-327 143 2 1 CARDINAL cana-327 143 3 17 CARDINAL cana-327 144 1 2 CARDINAL cana-327 144 2 3 CARDINAL cana-327 144 3 1 CARDINAL cana-327 144 4 1/3 CARDINAL cana-327 144 5 1 and π‘Œ(β„˜ CARDINAL cana-327 145 1 1 CARDINAL cana-327 145 2 2.4 CARDINAL cana-327 145 3 1 CARDINAL cana-327 145 4 17 CARDINAL cana-327 146 1 1074 CARDINAL cana-327 146 2 31 CARDINAL cana-327 146 3 1 CARDINAL cana-327 146 4 2024 CARDINAL cana-327 146 5 88 CARDINAL cana-327 147 1 1 CARDINAL cana-327 147 2 1 CARDINAL cana-327 147 3 zero CARDINAL cana-327 147 4 1 CARDINAL cana-327 147 5 r.p. GPE cana-327 147 6 grace, s.r. ORG cana-327 147 7 o'regan. GPE cana-327 147 8 39 DATE cana-327 147 9 2004 DATE cana-327 147 10 289 CARDINAL cana-327 148 1 2 CARDINAL cana-327 148 2 r.p. GPE cana-327 148 3 bohner PERSON cana-327 148 4 m. PERSON cana-327 148 5 s.r. GPE cana-327 148 6 o'regan GPE cana-327 148 7 d. NORP cana-327 148 8 hindawi PERSON cana-327 148 9 new york GPE cana-327 148 10 2005 DATE cana-327 149 1 3 CARDINAL cana-327 149 2 r.p. GPE cana-327 149 3 second ORDINAL cana-327 149 4 new york GPE cana-327 149 5 marcel dekker PERSON cana-327 149 6 2000 DATE cana-327 150 1 4 CARDINAL cana-327 150 2 g.e. GPE cana-327 150 3 gopal PERSON cana-327 150 4 third ORDINAL cana-327 151 1 15 (2021 CARDINAL cana-327 151 2 413-425 CARDINAL cana-327 152 1 5 CARDINAL cana-327 152 2 g.e. GPE cana-327 152 3 kanagasabapathi PERSON cana-327 152 4 r. NORP cana-327 152 5 second ORDINAL cana-327 152 6 9 CARDINAL cana-327 152 7 12 CARDINAL cana-327 152 8 2020 DATE cana-327 153 1 6 CARDINAL cana-327 153 2 erbe ORG cana-327 153 3 l.h. GPE cana-327 153 4 kong GPE cana-327 153 5 q. GPE cana-327 153 6 zhang GPE cana-327 153 7 b.g. GPE cana-327 153 8 2 CARDINAL cana-327 153 9 3 CARDINAL cana-327 153 10 1989 DATE cana-327 153 11 300 CARDINAL cana-327 154 1 7 CARDINAL cana-327 154 2 erbe ORG cana-327 154 3 l.h. GPE cana-327 154 4 kong GPE cana-327 154 5 q. GPE cana-327 154 6 zhang GPE cana-327 154 7 b.g. GPE cana-327 154 8 new york GPE cana-327 154 9 1995 DATE cana-327 155 1 8 CARDINAL cana-327 155 2 s. PERSON cana-327 155 3 new york GPE cana-327 155 4 1996 DATE cana-327 156 1 9 CARDINAL cana-327 156 2 s.r. GPE cana-327 156 3 second ORDINAL cana-327 157 1 j. math PERSON cana-327 160 1 229 CARDINAL cana-327 161 1 10 CARDINAL cana-327 161 2 s. PERSON cana-327 161 3 30 CARDINAL cana-327 161 4 3a CARDINAL cana-327 161 5 2023 CARDINAL cana-327 161 6 243 CARDINAL cana-327 162 1 11 CARDINAL cana-327 162 2 b. PERSON cana-327 162 3 kaleeswari GPE cana-327 162 4 s. PERSON cana-327 162 5 third ORDINAL cana-327 162 6 far east journal of mathematical science ORG cana-327 162 7 98 CARDINAL cana-327 162 8 963 CARDINAL cana-327 163 1 12 CARDINAL cana-327 163 2 s. GPE cana-327 163 3 madhan GPE cana-327 163 4 m., thandapani, e. PERSON cana-327 163 5 s. PERSON cana-327 163 6 third ORDINAL cana-327 163 7 90 CARDINAL cana-327 163 8 2017 CARDINAL cana-327 163 9 1-13 DATE cana-327 164 1 13 CARDINAL cana-327 164 2 s. PERSON cana-327 164 3 third ORDINAL cana-327 166 1 4(2012 CARDINAL cana-327 166 2 891 CARDINAL cana-327 167 1 14 CARDINAL cana-327 167 2 j. appl PERSON cana-327 168 1 2 CARDINAL cana-327 168 2 1989 DATE cana-327 168 3 101 CARDINAL cana-327 169 1 15 CARDINAL cana-327 169 2 g.k. GPE cana-327 169 3 allan PERSON cana-327 169 4 c.p. GPE cana-327 169 5 second ORDINAL cana-327 169 6 1991 DATE