id sid eid entity type cana-1907 1 1 1074 CARDINAL cana-1907 1 2 32 CARDINAL cana-1907 1 3 2 CARDINAL cana-1907 1 4 2025 DATE cana-1907 1 5 52 CARDINAL cana-1907 2 1 kumar2 1*research ORG cana-1907 2 2 apj abdul kalam PERSON cana-1907 2 3 technological university ORG cana-1907 2 4 sanatana dharma college ORG cana-1907 2 5 alappuzha GPE cana-1907 2 6 kerala GPE cana-1907 2 7 india GPE cana-1907 3 1 2research CARDINAL cana-1907 3 2 apj abdul kalam PERSON cana-1907 3 3 technological university ORG cana-1907 3 4 cochin GPE cana-1907 3 5 kerala GPE cana-1907 3 6 india GPE cana-1907 3 7 22-07-2024 CARDINAL cana-1907 3 8 09-09-2024 CARDINAL cana-1907 3 9 29-09-2024 CARDINAL cana-1907 4 1 k(x PERSON cana-1907 4 2 k(x PERSON cana-1907 5 1 k(x PERSON cana-1907 6 1 orb(f ORG cana-1907 6 2 k(x PERSON cana-1907 8 1 k(x PERSON cana-1907 10 1 k(x PERSON cana-1907 11 1 k(x PERSON cana-1907 11 2 x. GPE cana-1907 13 1 1 CARDINAL cana-1907 15 1 k(x PERSON cana-1907 15 2 k(x PERSON cana-1907 15 3 βŠ† CARDINAL cana-1907 17 1 the past years DATE cana-1907 18 1 9],[10 CARDINAL cana-1907 18 2 11 CARDINAL cana-1907 18 3 k(x PERSON cana-1907 19 1 ∈ ORG cana-1907 19 2 π‘œπ‘Ÿπ‘(𝑓 GPE cana-1907 19 3 π‘₯)Μ…Μ… Μ…Μ… Μ…Μ… Μ…Μ… Μ…Μ… ORG cana-1907 19 4 β‰  𝑋 PERSON cana-1907 23 1 k(x PERSON cana-1907 24 1 let𝑓 PERSON cana-1907 24 2 k(x PERSON cana-1907 24 3 k(x PERSON cana-1907 25 1 2 CARDINAL cana-1907 25 2 hyperspace PERSON cana-1907 25 3 1.in CARDINAL cana-1907 26 1 k(x PERSON cana-1907 27 1 k(x PERSON cana-1907 29 1 1074 CARDINAL cana-1907 29 2 32 CARDINAL cana-1907 29 3 2 CARDINAL cana-1907 29 4 2025 DATE cana-1907 30 1 53 CARDINAL cana-1907 30 2 2.1 CARDINAL cana-1907 31 1 aΒ΅}Β΅βˆˆβ„Έ ORG cana-1907 32 1 ∈ ORG cana-1907 33 1 2 CARDINAL cana-1907 33 2 k(x),h PERSON cana-1907 34 1 2.1 CARDINAL cana-1907 34 2 π‘œπ‘Ÿπ‘(πœ™ NORP cana-1907 36 1 n ∈ β„• ORG cana-1907 37 1 0 CARDINAL cana-1907 38 1 π‘œπ‘Ÿπ‘(πœ™ NORP cana-1907 39 1 π‘œπ‘Ÿπ‘(πœ™ NORP cana-1907 40 1 π‘œπ‘Ÿπ‘(πœ™ PRODUCT cana-1907 40 2 j ∈ β„• PERSON cana-1907 40 3 𝐻 (𝑓𝑗(𝑓𝑛(𝐾 ORG cana-1907 41 1 βŠ† CARDINAL cana-1907 41 2 π‘œπ‘Ÿπ‘(𝑓 GPE cana-1907 41 3 2.2 CARDINAL cana-1907 42 1 weekly DATE cana-1907 44 1 2.3 CARDINAL cana-1907 45 1 k(x PERSON cana-1907 45 2 k(x PERSON cana-1907 46 1 βŠ† CARDINAL cana-1907 46 2 π‘œπ‘Ÿπ‘(πœ™ NORP cana-1907 49 1 at least one CARDINAL cana-1907 50 1 1 CARDINAL cana-1907 50 2 two CARDINAL cana-1907 51 1 1,2 CARDINAL cana-1907 52 1 1,2 CARDINAL cana-1907 53 1 1,2 CARDINAL cana-1907 55 1 2+1 QUANTITY cana-1907 55 2 v1,a PERSON cana-1907 55 3 ∈ ORG cana-1907 55 4 1.4 CARDINAL cana-1907 56 1 1 CARDINAL cana-1907 56 2 two CARDINAL cana-1907 56 3 𝐢0 PRODUCT cana-1907 56 4 𝐢1 CARDINAL cana-1907 56 5 β€’ CARDINAL cana-1907 56 6 int(ci ORG cana-1907 56 7 wi GPE cana-1907 58 1 ∈ PRODUCT cana-1907 59 1 𝐡 βŠ‚ ORG cana-1907 59 2 𝐢0 βˆͺ 𝐢1)π‘Žπ‘›π‘‘ 𝐡 MONEY cana-1907 59 3 ∈ ORG cana-1907 59 4 n ∈ n ORG cana-1907 59 5 1074 CARDINAL cana-1907 59 6 32 CARDINAL cana-1907 59 7 2 CARDINAL cana-1907 59 8 2025 DATE cana-1907 59 9 54 CARDINAL cana-1907 60 1 u1,a NORP cana-1907 60 2 ∩ c1 PERSON cana-1907 61 1 βŠ‚ GPE cana-1907 62 1 u1,b GPE cana-1907 64 1 ∈ ORG cana-1907 64 2 ∈ ORG cana-1907 65 1 ∈ ORG cana-1907 65 2 ∈ ORG cana-1907 66 1 2 CARDINAL cana-1907 66 2 4 CARDINAL cana-1907 66 3 π‘Š0,0 βˆͺ MONEY cana-1907 66 4 𝐢0 DATE cana-1907 66 5 𝐢1 DATE cana-1907 67 1 1,2, CARDINAL cana-1907 67 2 4 CARDINAL cana-1907 67 3 1,2, CARDINAL cana-1907 68 1 π‘Š0,0 CARDINAL cana-1907 68 2 π‘Š0,1 DATE cana-1907 68 3 π‘ˆ2 DATE cana-1907 68 4 π‘ˆ2 DATE cana-1907 68 5 π‘ˆ2 DATE cana-1907 68 6 π‘Ž4 ORG cana-1907 69 1 four CARDINAL cana-1907 69 2 π‘Š0,0 CARDINAL cana-1907 69 3 π‘Š0,0 CARDINAL cana-1907 70 1 𝐢0 PRODUCT cana-1907 70 2 𝐢1 CARDINAL cana-1907 72 1 1 CARDINAL cana-1907 74 1 4 CARDINAL cana-1907 74 2 c0,0 ORG cana-1907 74 3 c0,1,c1,0 ORG cana-1907 75 1 1 CARDINAL cana-1907 75 2 int(ci ORG cana-1907 75 3 wi GPE cana-1907 75 4 0,1 CARDINAL cana-1907 75 5 2 CARDINAL cana-1907 76 1 ∈ ORG cana-1907 76 2 a1,a2,a3,a4 ORG cana-1907 76 3 ∈ ORG cana-1907 76 4 β„‚2 CARDINAL cana-1907 76 5 β„‚2 CARDINAL cana-1907 76 6 ∩ β„‚2 LAW cana-1907 77 1 π‘ˆ2 DATE cana-1907 77 2 1 ≀ QUANTITY cana-1907 77 3 β„‚2 CARDINAL cana-1907 77 4 𝐢1,0 PRODUCT cana-1907 77 5 𝐢1,1⟩. GPE cana-1907 77 6 β„‚1 ORG cana-1907 77 7 a1,a2,a3,a4 ORG cana-1907 77 8 ∈ ORG cana-1907 77 9 ∈ ORG cana-1907 80 1 3 CARDINAL cana-1907 81 1 0,1}r CARDINAL cana-1907 82 1 2r CARDINAL cana-1907 84 1 β€’ CARDINAL cana-1907 84 2 0,1}π‘Ÿ CARDINAL cana-1907 85 1 βŠ‚ GPE cana-1907 86 1 β€’ CARDINAL cana-1907 86 2 1074 CARDINAL cana-1907 86 3 32 CARDINAL cana-1907 86 4 2 CARDINAL cana-1907 86 5 2025 DATE cana-1907 86 6 55 CARDINAL cana-1907 86 7 β‰  PERSON cana-1907 87 1 0,1}r CARDINAL cana-1907 88 1 𝑑2 GPE cana-1907 88 2 𝑑2 GPE cana-1907 90 1 π‘ˆπ‘Ÿ GPE cana-1907 90 2 𝑑2 GPE cana-1907 92 1 1 ≀ CARDINAL cana-1907 92 2 𝐴 ∈ β„‚π‘Ÿ ORG cana-1907 92 3 π‘œπ‘Ÿπ‘(πœ™ NORP cana-1907 93 1 β„‚π‘Ÿ+1 DATE cana-1907 93 2 4 CARDINAL cana-1907 93 3 0,1}π‘Ÿ CARDINAL cana-1907 93 4 2π‘Ÿ CARDINAL cana-1907 96 1 π‘œπ‘Ÿπ‘(πœ™ NORP cana-1907 97 1 2.1 CARDINAL cana-1907 98 1 βŠ† CARDINAL cana-1907 98 2 π‘œπ‘Ÿπ‘(𝑓 GPE cana-1907 98 3 π‘₯)Μ…Μ… Μ…Μ… Μ…Μ… Μ…Μ… Μ…Μ… ORG cana-1907 100 1 2.3 CARDINAL cana-1907 100 2 2.2 CARDINAL cana-1907 101 1 k(x PERSON cana-1907 101 2 k(x PERSON cana-1907 102 1 βŠ† CARDINAL cana-1907 102 2 π‘œπ‘Ÿπ‘(𝑓 GPE cana-1907 102 3 π‘₯)Μ…Μ… Μ…Μ… Μ…Μ… Μ…Μ… Μ…Μ… ORG cana-1907 103 1 2.1 CARDINAL cana-1907 103 2 2.2 CARDINAL cana-1907 103 3 2.3 CARDINAL cana-1907 104 1 ∈ ORG cana-1907 104 2 π‘œπ‘Ÿπ‘(𝑓 GPE cana-1907 104 3 π‘₯)Μ…Μ… Μ…Μ… Μ…Μ… Μ…Μ… Μ…Μ… ORG cana-1907 104 4 k(x PERSON cana-1907 104 5 k(x PERSON cana-1907 105 1 βŠ† CARDINAL cana-1907 106 1 βŠ† CARDINAL cana-1907 107 1 2.3 CARDINAL cana-1907 107 2 βŠ† CARDINAL cana-1907 107 3 d. NORP cana-1907 108 1 2.4 DATE cana-1907 109 1 k(x PERSON cana-1907 109 2 k(x PERSON cana-1907 109 3 β‰  𝑋. PERSON cana-1907 111 1 2.4 DATE cana-1907 111 2 x. GPE cana-1907 114 1 k(x PERSON cana-1907 116 1 2.5 CARDINAL cana-1907 117 1 k(x PERSON cana-1907 117 2 k(x PERSON cana-1907 117 3 x. GPE cana-1907 117 4 βŠ† CARDINAL cana-1907 117 5 lim PERSON cana-1907 117 6 𝐻(π‘ˆ GPE cana-1907 119 1 𝑓𝑠𝑛(𝐢 ORG cana-1907 119 2 1 2𝑛+1 CARDINAL cana-1907 119 3 1 2𝑛+1 CARDINAL cana-1907 120 1 1074 CARDINAL cana-1907 120 2 32 CARDINAL cana-1907 120 3 2 CARDINAL cana-1907 120 4 2025 DATE cana-1907 120 5 56 CARDINAL cana-1907 122 1 1 2𝑛 CARDINAL cana-1907 123 1 2.3 CARDINAL cana-1907 125 1 𝑓𝑛+π‘š(𝑦 PERSON cana-1907 126 1 2.6 CARDINAL cana-1907 127 1 k(x PERSON cana-1907 129 1 2.3 CARDINAL cana-1907 129 2 2.6 CARDINAL cana-1907 129 3 2.7 CARDINAL cana-1907 130 1 k(x PERSON cana-1907 131 1 2.7 3.stability CARDINAL cana-1907 131 2 k(x PERSON cana-1907 131 3 k(x PERSON cana-1907 132 1 x. PERSON cana-1907 133 1 k(x PERSON cana-1907 134 1 3.1 CARDINAL cana-1907 135 1 ∈ ORG cana-1907 136 1 0 CARDINAL cana-1907 136 2 d(f GPE cana-1907 137 1 3.2 CARDINAL cana-1907 138 1 π‘“βˆˆ k(x ORG cana-1907 138 2 0 CARDINAL cana-1907 138 3 0 CARDINAL cana-1907 139 1 k(x PERSON cana-1907 139 2 k(x PERSON cana-1907 139 3 𝐴 ∈ ORG cana-1907 140 1 3.1 CARDINAL cana-1907 142 1 c(x ORG cana-1907 143 1 k(x PERSON cana-1907 143 2 k(x PERSON cana-1907 145 1 first ORDINAL cana-1907 145 2 3.1 CARDINAL cana-1907 146 1 πœ“(𝑓 PERSON cana-1907 146 2 c(x ORG cana-1907 146 3 k(c(x GPE cana-1907 149 1 πœ“(𝑓 PERSON cana-1907 151 1 πœ“βˆ’1 PERSON cana-1907 152 1 c(x ORG cana-1907 153 1 d(𝑓𝑛 PERSON cana-1907 153 2 1074 CARDINAL cana-1907 153 3 32 CARDINAL cana-1907 153 4 2 CARDINAL cana-1907 153 5 2025 DATE cana-1907 153 6 57 DATE cana-1907 153 7 ∈ ORG cana-1907 153 8 d(f GPE cana-1907 156 1 βŠ† CARDINAL cana-1907 156 2 βŠ† CARDINAL cana-1907 159 1 c(x PRODUCT cana-1907 160 1 c(x ORG cana-1907 160 2 k(c(x GPE cana-1907 161 1 3.2 CARDINAL cana-1907 163 1 0 CARDINAL cana-1907 165 1 d(fn GPE cana-1907 165 2 c(x ORG cana-1907 165 3 𝑓𝑛}since ORG cana-1907 168 1 3.1 CARDINAL cana-1907 168 2 0 CARDINAL cana-1907 169 1 πœ“βˆ’1 PERSON cana-1907 169 2 ∈ ORG cana-1907 169 3 0 CARDINAL cana-1907 170 1 𝑑(𝑓 PERSON cana-1907 180 1 ∈ k(x ORG cana-1907 180 2 πœ“(h β—¦ g)(a GPE cana-1907 180 3 β„ŽΜƒ ORG cana-1907 180 4 ∈ k(x ORG cana-1907 181 1 ∈ ORG cana-1907 181 2 βŠ† CARDINAL cana-1907 181 3 ⋃ PRODUCT cana-1907 181 4 1074 CARDINAL cana-1907 181 5 32 CARDINAL cana-1907 181 6 2 CARDINAL cana-1907 181 7 2025 DATE cana-1907 182 1 58 CARDINAL cana-1907 182 2 𝐴 βŠ† ORG cana-1907 182 3 βŠ† CARDINAL cana-1907 182 4 𝐴 βŠ† 𝐡(β„Ž(𝐴 ORG cana-1907 182 5 h(a ORG cana-1907 182 6 βŠ† CARDINAL cana-1907 182 7 βŠ† CARDINAL cana-1907 183 1 𝑑(β„ŽΜƒ PERSON cana-1907 183 2 𝑖̃ ORG cana-1907 185 1 ∈ ORG cana-1907 186 1 0 CARDINAL cana-1907 186 2 0 CARDINAL cana-1907 187 1 β„ŽΜƒ ∈ πœ“(𝐢(𝑋 ORG cana-1907 188 1 𝑓. DATE cana-1907 188 2 0 CARDINAL cana-1907 188 3 d(f GPE cana-1907 188 4 𝑑(πœ“(𝑓 ORG cana-1907 191 1 ∈ ORG cana-1907 192 1 𝑑(β„ŽΜƒ PRODUCT cana-1907 192 2 βŠ† CARDINAL cana-1907 192 3 𝐴 βŠ† ORG cana-1907 192 4 𝐴 ∈ ORG cana-1907 193 1 ∈ ORG cana-1907 193 2 h(a ORG cana-1907 193 3 βŠ† CARDINAL cana-1907 193 4 ∈ ORG cana-1907 195 1 apj abdul kalam PERSON cana-1907 195 2 technological university ORG cana-1907 195 3 kerala GPE cana-1907 195 4 india GPE cana-1907 195 5 sanatana dharma college ORG cana-1907 195 6 alappuzha GPE cana-1907 195 7 kerala GPE cana-1907 195 8 india GPE cana-1907 195 9 kerala GPE cana-1907 195 10 india GPE cana-1907 196 1 1 CARDINAL cana-1907 196 2 harry frustenberg PERSON cana-1907 196 3 1 CARDINAL cana-1907 196 4 1-49 CARDINAL cana-1907 197 1 2 CARDINAL cana-1907 197 2 jr.and ORG cana-1907 197 3 choon jai rhee PERSON cana-1907 197 4 23(1998),183 CARDINAL cana-1907 197 5 200 CARDINAL cana-1907 198 1 3 CARDINAL cana-1907 198 2 second ORDINAL cana-1907 198 3 american mathematical society ORG cana-1907 198 4 124,(1996),1577-1581 CARDINAL cana-1907 199 1 1074 CARDINAL cana-1907 199 2 32 CARDINAL cana-1907 199 3 2 CARDINAL cana-1907 199 4 2025 DATE cana-1907 199 5 59 CARDINAL cana-1907 200 1 4 CARDINAL cana-1907 200 2 p.b.vinod kumar PERSON cana-1907 200 3 nth PERSON cana-1907 200 4 2018),177-180 CARDINAL cana-1907 201 1 5 CARDINAL cana-1907 201 2 hiroshi hosokava PERSON cana-1907 201 3 tsukuba PERSON cana-1907 201 4 21,1,(1997),239-250 CARDINAL cana-1907 202 1 6 CARDINAL cana-1907 202 2 vinod kumar PERSON cana-1907 202 3 k(x PERSON