id sid eid entity type cana-4840 1 1 1074 CARDINAL cana-4840 1 2 32 CARDINAL cana-4840 2 1 2025 CARDINAL cana-4840 2 2 444 CARDINAL cana-4840 2 3 purushothama s2 PERSON cana-4840 2 4 puttaswamy3 1department ORG cana-4840 2 5 first ORDINAL cana-4840 2 6 kuvempunagara mysore PERSON cana-4840 2 7 karanataka GPE cana-4840 2 8 india e GPE cana-4840 3 1 2department TIME cana-4840 3 2 maharaja institute of technology mysore ORG cana-4840 3 3 mandya GPE cana-4840 3 4 karanataka GPE cana-4840 3 5 india GPE cana-4840 4 1 3department PERSON cana-4840 5 1 mandya GPE cana-4840 5 2 karanataka GPE cana-4840 5 3 india GPE cana-4840 6 1 12-01-2025 CARDINAL cana-4840 6 2 15-02-2025 CARDINAL cana-4840 6 3 01-03-2025 CARDINAL cana-4840 10 1 recent years DATE cana-4840 14 1 1 CARDINAL cana-4840 16 1 1 CARDINAL cana-4840 17 1 eigen ORG cana-4840 17 2 at least one CARDINAL cana-4840 17 3 zero CARDINAL cana-4840 19 1 0 CARDINAL cana-4840 21 1 1074 CARDINAL cana-4840 21 2 32 CARDINAL cana-4840 22 1 2025 CARDINAL cana-4840 22 2 445 CARDINAL cana-4840 26 1 i. gutman PERSON cana-4840 26 2 1978 DATE cana-4840 26 3 3 CARDINAL cana-4840 27 1 4 CARDINAL cana-4840 27 2 the year 2006 DATE cana-4840 29 1 βˆ’1 DATE cana-4840 29 2 0 DATE cana-4840 30 1 eigen ORG cana-4840 31 1 𝑖=1 GPE cana-4840 31 2 4 CARDINAL cana-4840 35 1 at least two CARDINAL cana-4840 36 1 2 CARDINAL cana-4840 37 1 0 DATE cana-4840 42 1 𝑄(𝐺 ORG cana-4840 45 1 6 CARDINAL cana-4840 45 2 3 CARDINAL cana-4840 48 1 1074 CARDINAL cana-4840 48 2 32 CARDINAL cana-4840 49 1 2025 CARDINAL cana-4840 49 2 446 CARDINAL cana-4840 49 3 1 DATE cana-4840 49 4 0 DATE cana-4840 50 1 𝐼 βˆ’ ORG cana-4840 54 1 β‰₯ PERSON cana-4840 60 1 eigen ORG cana-4840 62 1 2m n | n QUANTITY cana-4840 62 2 6 CARDINAL cana-4840 62 3 4.1 CARDINAL cana-4840 64 1 4.1 CARDINAL cana-4840 65 1 1074 CARDINAL cana-4840 65 2 32 CARDINAL cana-4840 66 1 2025 CARDINAL cana-4840 66 2 447 CARDINAL cana-4840 67 1 7 CARDINAL cana-4840 67 2 14πœ†6 CARDINAL cana-4840 68 1 166πœ†4 + 162πœ†3 CARDINAL cana-4840 68 2 30πœ†2 CARDINAL cana-4840 68 3 30πœ† + 4 DATE cana-4840 68 4 0 CARDINAL cana-4840 69 1 βˆ’0.1842 CARDINAL cana-4840 69 2 0.9583 CARDINAL cana-4840 69 3 2 CARDINAL cana-4840 69 4 2.1960 CARDINAL cana-4840 69 5 4.1923 CARDINAL cana-4840 70 1 4.3973 TIME cana-4840 71 1 2π‘š CARDINAL cana-4840 71 2 2Γ—8 7 DATE cana-4840 71 3 16 7 DATE cana-4840 72 1 β‰ˆ 12.43638 CARDINAL cana-4840 72 2 𝐷2 CARDINAL cana-4840 72 3 𝑣1, 𝑣4} ORG cana-4840 72 4 7 CARDINAL cana-4840 72 5 14πœ†6 CARDINAL cana-4840 72 6 155πœ†4 + 121πœ†3 + 27πœ†2 DATE cana-4840 72 7 48πœ† CARDINAL cana-4840 72 8 4 CARDINAL cana-4840 72 9 0 CARDINAL cana-4840 73 1 areπœ†1 DATE cana-4840 74 1 1.0381 CARDINAL cana-4840 74 2 2.2342 CARDINAL cana-4840 74 3 5.09551 MONEY cana-4840 74 4 4.2094 MONEY cana-4840 74 5 2 CARDINAL cana-4840 74 6 2π‘š CARDINAL cana-4840 74 7 2Γ—8 7 DATE cana-4840 74 8 16 7 DATE cana-4840 74 9 1074 CARDINAL cana-4840 74 10 32 CARDINAL cana-4840 74 11 2025 CARDINAL cana-4840 74 12 448 CARDINAL cana-4840 75 1 β‰ˆ 12.8677 CARDINAL cana-4840 76 1 5.1 CARDINAL cana-4840 79 1 2𝑛 + 5 DATE cana-4840 81 1 2)π‘‘π‘–π‘šπ‘’ CARDINAL cana-4840 81 2 Β± CARDINAL cana-4840 81 3 2𝑛 CARDINAL cana-4840 82 1 2π‘š CARDINAL cana-4840 82 2 2 𝑛(π‘›βˆ’1 PERCENT cana-4840 82 3 2 CARDINAL cana-4840 82 4 1074 CARDINAL cana-4840 82 5 32 CARDINAL cana-4840 83 1 2025 CARDINAL cana-4840 83 2 449 CARDINAL cana-4840 85 1 2𝑛 CARDINAL cana-4840 88 1 2𝑛 CARDINAL cana-4840 88 2 1)| CARDINAL cana-4840 89 1 2𝑛 CARDINAL cana-4840 91 1 2𝑛 CARDINAL cana-4840 92 1 2𝑛 CARDINAL cana-4840 93 1 5.2 CARDINAL cana-4840 95 1 2𝑛 CARDINAL cana-4840 98 1 1](π‘›βˆ’2)[πœ†2 ORDINAL cana-4840 99 1 1074 CARDINAL cana-4840 99 2 32 CARDINAL cana-4840 100 1 2025 DATE cana-4840 100 2 450 CARDINAL cana-4840 100 3 2)π‘‘π‘–π‘šπ‘’ CARDINAL cana-4840 100 4 Β± CARDINAL cana-4840 100 5 2𝑛 CARDINAL cana-4840 101 1 2π‘š CARDINAL cana-4840 104 1 2(𝑛 CARDINAL cana-4840 104 2 1 CARDINAL cana-4840 107 1 2𝑛 CARDINAL cana-4840 107 2 2(𝑛 CARDINAL cana-4840 107 3 1 CARDINAL cana-4840 110 1 2𝑛 CARDINAL cana-4840 110 2 2(𝑛 CARDINAL cana-4840 110 3 1 CARDINAL cana-4840 113 1 2𝑛 CARDINAL cana-4840 115 1 2𝑛 CARDINAL cana-4840 118 1 2𝑛 CARDINAL cana-4840 118 2 6.1 CARDINAL cana-4840 123 1 2|𝐸| CARDINAL cana-4840 123 2 βˆ’ |𝐷| 𝑛 𝑖=1 PERSON cana-4840 123 3 2 CARDINAL cana-4840 123 4 2|𝐸| CARDINAL cana-4840 123 5 2 𝑛 𝑖=1 𝑛 𝑖=1 MONEY cana-4840 123 6 1 CARDINAL cana-4840 123 7 ∈ ORG cana-4840 123 8 βˆ‰ ORG cana-4840 124 1 2|e| CARDINAL cana-4840 125 1 2 CARDINAL cana-4840 126 1 2 CARDINAL cana-4840 126 2 2 CARDINAL cana-4840 127 1 2 CARDINAL cana-4840 127 2 2βˆ‘(lij CARDINAL cana-4840 128 1 j +βˆ‘(lji PERSON cana-4840 128 2 2 CARDINAL cana-4840 129 1 2 CARDINAL cana-4840 129 2 2|e| CARDINAL cana-4840 130 1 2 CARDINAL cana-4840 130 2 1 CARDINAL cana-4840 130 3 vi ∈ PERSON cana-4840 130 4 vi βˆ‰ PERSON cana-4840 130 5 1074 CARDINAL cana-4840 130 6 32 CARDINAL cana-4840 131 1 2025 CARDINAL cana-4840 131 2 451 CARDINAL cana-4840 131 3 2 CARDINAL cana-4840 131 4 2n CARDINAL cana-4840 132 1 2 CARDINAL cana-4840 132 2 6.2 CARDINAL cana-4840 136 1 βˆ‘aibi CARDINAL cana-4840 136 2 2 ≀ MONEY cana-4840 136 3 2 CARDINAL cana-4840 136 4 2 n QUANTITY cana-4840 136 5 1 CARDINAL cana-4840 137 1 2 ≀ MONEY cana-4840 139 1 2 ≀ MONEY cana-4840 140 1 |Ξ»i βˆ’ 2 MONEY cana-4840 142 1 2m n |βˆ€ QUANTITY cana-4840 142 2 1,2 CARDINAL cana-4840 144 1 |Ξ»i βˆ’ 2 MONEY cana-4840 144 2 + 2 QUANTITY cana-4840 145 1 2m n | n QUANTITY cana-4840 146 1 6.3 CARDINAL cana-4840 147 1 n(n ORG cana-4840 147 2 1)d 2 DATE cana-4840 147 3 m. proof: PERSON cana-4840 147 4 2 CARDINAL cana-4840 148 1 1074 CARDINAL cana-4840 148 2 32 CARDINAL cana-4840 149 1 2025 CARDINAL cana-4840 149 2 452 CARDINAL cana-4840 149 3 2 CARDINAL cana-4840 151 1 2 CARDINAL cana-4840 151 2 6.1 CARDINAL cana-4840 152 1 1 CARDINAL cana-4840 152 2 βˆ‘ PERSON cana-4840 153 1 ∏|Ξ»i| CARDINAL cana-4840 153 2 𝑖. 𝑒. PERSON cana-4840 154 1 ∏|Ξ»i| CARDINAL cana-4840 154 2 2 CARDINAL cana-4840 156 1 1 CARDINAL cana-4840 157 1 2 CARDINAL cana-4840 157 2 2n CARDINAL cana-4840 157 3 n(n GPE cana-4840 158 1 2 n MONEY cana-4840 158 2 2 CARDINAL cana-4840 158 3 2n CARDINAL cana-4840 160 1 2 CARDINAL cana-4840 160 2 1)d 2 DATE cana-4840 161 1 2m n | ≀ QUANTITY cana-4840 161 2 2 CARDINAL cana-4840 161 3 i=1 GPE cana-4840 161 4 2 CARDINAL cana-4840 162 1 2 CARDINAL cana-4840 164 1 2m ≀ QUANTITY cana-4840 164 2 lq𝐷(g PERSON cana-4840 164 3 2 CARDINAL cana-4840 164 4 1074 CARDINAL cana-4840 164 5 32 CARDINAL cana-4840 165 1 2025 CARDINAL cana-4840 165 2 453 CARDINAL cana-4840 165 3 1)d 2 DATE cana-4840 165 4 2 CARDINAL cana-4840 165 5 n(n ORG cana-4840 165 6 1)d 2 DATE cana-4840 165 7 2 CARDINAL cana-4840 165 8 6.4 CARDINAL cana-4840 166 1 βˆ‘aibi CARDINAL cana-4840 166 2 2 ≀ MONEY cana-4840 166 3 2 CARDINAL cana-4840 166 4 2 n QUANTITY cana-4840 166 5 1 CARDINAL cana-4840 166 6 2m n QUANTITY cana-4840 167 1 2m n | n QUANTITY cana-4840 167 2 2 ≀ MONEY cana-4840 168 1 2 CARDINAL cana-4840 169 1 lq𝐷(g PERSON cana-4840 169 2 2 CARDINAL cana-4840 171 1 4m2 n2 QUANTITY cana-4840 171 2 4 CARDINAL cana-4840 173 1 2n CARDINAL cana-4840 173 2 2 CARDINAL cana-4840 174 1 2n CARDINAL cana-4840 175 1 2nn ORDINAL cana-4840 182 1 1 CARDINAL cana-4840 182 2 a.bayad, i.gutman ORG cana-4840 182 3 kragujevac j. sci PERSON cana-4840 183 1 34 (2012 DATE cana-4840 183 2 39 CARDINAL cana-4840 184 1 2 CARDINAL cana-4840 184 2 jb PERSON cana-4840 184 3 metcalf PERSON cana-4840 184 4 1963 DATE cana-4840 184 5 lv kantorovich' ORG cana-4840 184 6 69 CARDINAL cana-4840 185 1 3 CARDINAL cana-4840 185 2 hedetniemi PERSON cana-4840 185 3 r.c. laskar PERSON cana-4840 186 1 86 CARDINAL cana-4840 186 2 1990 DATE cana-4840 187 1 4] i.gutman ORG cana-4840 190 1 103 (1978 DATE cana-4840 190 2 1-22 CARDINAL cana-4840 191 1 5 CARDINAL cana-4840 192 1 lin PERSON cana-4840 194 1 414 CARDINAL cana-4840 194 2 29 CARDINAL cana-4840 195 1 6 CARDINAL cana-4840 195 2 m. lalitha kumari l PERSON cana-4840 195 3 k.palani1 NORP cana-4840 195 4 zero CARDINAL cana-4840 195 5 baghdad science journal ORG cana-4840 195 6 2023 CARDINAL cana-4840 195 7 20(1 CARDINAL cana-4840 195 8 icaam PERSON cana-4840 195 9 277-282 CARDINAL cana-4840 196 1 7 CARDINAL cana-4840 196 2 purushothama PERSON cana-4840 197 1 tuijin jishu/journal of propulsion technology ORG cana-4840 197 2 1001-4055 DATE cana-4840 198 1 45 CARDINAL cana-4840 198 2 3 CARDINAL cana-4840 198 3 2024 CARDINAL cana-4840 200 1 1074 CARDINAL cana-4840 200 2 32 CARDINAL cana-4840 201 1 2025 CARDINAL cana-4840 201 2 454 CARDINAL cana-4840 202 1 8 CARDINAL cana-4840 202 2 issn PERSON cana-4840 202 3 2328-3491 ORG cana-4840 202 4 issn PERSON cana-4840 202 5 2328-3580 DATE cana-4840 202 6 issn PERSON cana-4840 202 7 2328-3629 DATE cana-4840 202 8 9 CARDINAL cana-4840 202 9 szego GPE cana-4840 202 10 1972 DATE cana-4840 202 11 berlin GPE cana-4840 202 12 10 CARDINAL cana-4840 202 13 purushothama PERSON cana-4840 202 14 k n PERSON