id sid eid entity type cana-5309 1 1 1074 CARDINAL cana-5309 1 2 31 CARDINAL cana-5309 2 1 4s CARDINAL cana-5309 2 2 2024 CARDINAL cana-5309 2 3 672 CARDINAL cana-5309 2 4 1s CARDINAL cana-5309 3 1 balamuralitharan ORG cana-5309 3 2 2a CARDINAL cana-5309 4 1 3r CARDINAL cana-5309 5 1 arulprakasam ORG cana-5309 5 2 kumar PERSON cana-5309 5 3 5r CARDINAL cana-5309 5 4 giri prasad 1adjunct PERSON cana-5309 5 5 chennai GPE cana-5309 5 6 tamil nadu LOC cana-5309 5 7 india GPE cana-5309 5 8 2assistant PERSON cana-5309 6 1 tamil nadu LOC cana-5309 6 2 india GPE cana-5309 7 1 srm institute of science and technology ORG cana-5309 7 2 srm nagar ORG cana-5309 7 3 kattankulathur 603203 GPE cana-5309 7 4 tamilnadu NORP cana-5309 7 5 india GPE cana-5309 7 6 4associate CARDINAL cana-5309 7 7 aditya university ORG cana-5309 7 8 surampalem GPE cana-5309 7 9 india GPE cana-5309 8 1 5associate CARDINAL cana-5309 8 2 aditya university ORG cana-5309 8 3 surampalem GPE cana-5309 8 4 india GPE cana-5309 8 5 hod_pt@aec.edu.in GPE cana-5309 8 6 12-02-2024 CARDINAL cana-5309 8 7 15-03-2024 CARDINAL cana-5309 8 8 19-04-2024 CARDINAL cana-5309 9 1 hyperboloid ORG cana-5309 11 1 i. introduction PERSON cana-5309 11 2 one CARDINAL cana-5309 11 3 first ORDINAL cana-5309 12 1 300 CARDINAL cana-5309 12 2 first ORDINAL cana-5309 13 1 five CARDINAL cana-5309 13 2 fifth ORDINAL cana-5309 13 3 one CARDINAL cana-5309 13 4 only one CARDINAL cana-5309 15 1 more than two thousand CARDINAL cana-5309 15 2 1074 CARDINAL cana-5309 15 3 31 CARDINAL cana-5309 16 1 4s CARDINAL cana-5309 16 2 2024 CARDINAL cana-5309 16 3 673 CARDINAL cana-5309 17 1 the 19th century DATE cana-5309 17 2 1 CARDINAL cana-5309 19 1 first ORDINAL cana-5309 21 1 180 degrees QUANTITY cana-5309 23 1 two CARDINAL cana-5309 23 2 hyperboloid ORG cana-5309 24 1 90-degree QUANTITY cana-5309 26 1 hyperboloid ORG cana-5309 26 2 15 CARDINAL cana-5309 32 1 two CARDINAL cana-5309 32 2 13 CARDINAL cana-5309 36 1 1074 CARDINAL cana-5309 36 2 31 CARDINAL cana-5309 37 1 4s CARDINAL cana-5309 37 2 2024 CARDINAL cana-5309 37 3 674 CARDINAL cana-5309 39 1 β€’ CARDINAL cana-5309 39 2 first ORDINAL cana-5309 39 3 hyperboloid ORG cana-5309 41 1 β€’ CARDINAL cana-5309 44 1 β€’ CARDINAL cana-5309 47 1 7 CARDINAL cana-5309 48 1 2020 DATE cana-5309 49 1 da silva et.al. PERSON cana-5309 49 2 l. velho et.al. PERSON cana-5309 51 1 9 CARDINAL cana-5309 51 2 non-euclidean NORP cana-5309 53 1 half CARDINAL cana-5309 53 2 hyperboloid ORG cana-5309 55 1 2020 DATE cana-5309 55 2 s. huckemann et.al. PERSON cana-5309 56 1 b. eltzner et.al PERSON cana-5309 57 1 12 CARDINAL cana-5309 58 1 1074 CARDINAL cana-5309 58 2 31 CARDINAL cana-5309 59 1 4s CARDINAL cana-5309 59 2 2024 CARDINAL cana-5309 59 3 675 CARDINAL cana-5309 62 1 today DATE cana-5309 65 1 2024 CARDINAL cana-5309 65 2 j. miller PERSON cana-5309 65 3 d. bhatia et.al. PERSON cana-5309 65 4 s. kobourov et.al. PERSON cana-5309 65 5 5 CARDINAL cana-5309 71 1 five CARDINAL cana-5309 71 2 8 CARDINAL cana-5309 72 1 first ORDINAL cana-5309 73 1 1 CARDINAL cana-5309 75 1 1074 CARDINAL cana-5309 75 2 31 CARDINAL cana-5309 76 1 4s CARDINAL cana-5309 76 2 2024 CARDINAL cana-5309 76 3 676 CARDINAL cana-5309 77 1 + 𝑦2 DATE cana-5309 79 1 π‘Ž)2 GPE cana-5309 79 2 1 CARDINAL cana-5309 80 1 two CARDINAL cana-5309 80 2 1 + 2‖𝑃 CARDINAL cana-5309 80 3 βˆ’ 𝑄‖2 PERSON cana-5309 80 4 1 CARDINAL cana-5309 80 5 βˆ’ ‖𝑄‖2 GPE cana-5309 80 6 || β€’ || PRODUCT cana-5309 87 1 2πœ‹sinh⁑(π‘Ÿ CARDINAL cana-5309 88 1 1074 CARDINAL cana-5309 88 2 31 CARDINAL cana-5309 89 1 4s CARDINAL cana-5309 89 2 2024 CARDINAL cana-5309 89 3 677 CARDINAL cana-5309 89 4 2πœ‹(cosh⁑(π‘Ÿ CARDINAL cana-5309 89 5 1 CARDINAL cana-5309 96 1 e. application PERSON cana-5309 98 1 𝛿𝑖𝑗 CARDINAL cana-5309 98 2 2 CARDINAL cana-5309 98 3 𝛿𝑖𝑗 CARDINAL cana-5309 101 1 mse ORG cana-5309 101 2 1 𝑛 βˆ‘ QUANTITY cana-5309 101 3 𝑖=1 GPE cana-5309 101 4 2 CARDINAL cana-5309 101 5 1074 CARDINAL cana-5309 101 6 31 CARDINAL cana-5309 102 1 4s CARDINAL cana-5309 102 2 2024 CARDINAL cana-5309 102 3 678 CARDINAL cana-5309 103 1 1 CARDINAL cana-5309 106 1 10 CARDINAL cana-5309 107 1 1074 CARDINAL cana-5309 107 2 31 CARDINAL cana-5309 108 1 4s CARDINAL cana-5309 108 2 2024 CARDINAL cana-5309 108 3 679 CARDINAL cana-5309 108 4 one CARDINAL cana-5309 109 1 2 CARDINAL cana-5309 112 1 2 CARDINAL cana-5309 114 1 1 CARDINAL cana-5309 114 2 1 CARDINAL cana-5309 114 3 polygon ORG cana-5309 114 4 vertex euclidean ORG cana-5309 114 5 6 CARDINAL cana-5309 114 6 7 CARDINAL cana-5309 114 7 pentagon ORG cana-5309 114 8 pentagon ORG cana-5309 114 9 4 CARDINAL cana-5309 114 10 5 3.14 CARDINAL cana-5309 115 1 1074 CARDINAL cana-5309 115 2 31 CARDINAL cana-5309 116 1 4s CARDINAL cana-5309 116 2 2024 CARDINAL cana-5309 118 1 2 CARDINAL cana-5309 118 2 2 CARDINAL cana-5309 119 1 2 CARDINAL cana-5309 119 2 0.42 0.15 CARDINAL cana-5309 119 3 73% PERCENT cana-5309 119 4 89% PERCENT cana-5309 119 5 0.39 0.21 CARDINAL cana-5309 122 1 two CARDINAL cana-5309 122 2 3 CARDINAL cana-5309 123 1 3 CARDINAL cana-5309 125 1 5.2 7.8 CARDINAL cana-5309 125 2 1074 CARDINAL cana-5309 125 3 31 CARDINAL cana-5309 126 1 4s CARDINAL cana-5309 126 2 2024 CARDINAL cana-5309 126 3 681 CARDINAL cana-5309 133 1 1 CARDINAL cana-5309 133 2 a. mednykh PERSON cana-5309 133 3 non-euclidean NORP cana-5309 133 4 ems ORG cana-5309 133 5 2019 DATE cana-5309 134 1 151–189 CARDINAL cana-5309 135 1 10.4171/196-1/11 CARDINAL cana-5309 136 1 2 CARDINAL cana-5309 136 2 m. f. mammana PERSON cana-5309 136 3 e. taranto PERSON cana-5309 136 4 26 CARDINAL cana-5309 136 5 3 CARDINAL cana-5309 137 1 113–119 CARDINAL cana-5309 137 2 sep. 2019 DATE cana-5309 137 3 10.1564 CARDINAL cana-5309 138 1 3 CARDINAL cana-5309 138 2 i. stevenson PERSON cana-5309 138 3 5 CARDINAL cana-5309 138 4 2 CARDINAL cana-5309 139 1 143–167, jan. 2000 DATE cana-5309 139 2 10.1023 CARDINAL cana-5309 140 1 4 CARDINAL cana-5309 140 2 a. papadopoulos PERSON cana-5309 140 3 klein PERSON cana-5309 140 4 non-euclidean NORP cana-5309 140 5 ems ORG cana-5309 140 6 2015 DATE cana-5309 142 1 10.4171/148-1/5 CARDINAL cana-5309 143 1 5 CARDINAL cana-5309 143 2 j. miller PERSON cana-5309 143 3 d. bhatia PERSON cana-5309 143 4 s. kobourov PERSON cana-5309 143 5 43 DATE cana-5309 143 6 3 CARDINAL cana-5309 143 7 10.1111/cgf.15113 MONEY cana-5309 144 1 6 CARDINAL cana-5309 144 2 c. saxena PERSON cana-5309 144 3 t. liu PERSON cana-5309 144 4 i. king PERSON cana-5309 144 5 noneuclidean NORP cana-5309 144 6 2020 DATE cana-5309 145 1 127–139 CARDINAL cana-5309 146 1 10.1007/978-3-030-63833-7_11 CARDINAL cana-5309 147 1 7 CARDINAL cana-5309 147 2 l. moreno-armella PERSON cana-5309 147 3 c. brady PERSON cana-5309 147 4 r. elizondo-ramirez PERSON cana-5309 147 5 49 DATE cana-5309 147 6 4 CARDINAL cana-5309 148 1 594–612 CARDINAL cana-5309 148 2 jan. 2018 DATE cana-5309 148 3 10.1080/0020739x.2017.1418915 CARDINAL cana-5309 149 1 1074 CARDINAL cana-5309 149 2 31 CARDINAL cana-5309 150 1 4s CARDINAL cana-5309 150 2 2024 CARDINAL cana-5309 150 3 682 CARDINAL cana-5309 151 1 8 CARDINAL cana-5309 151 2 s. d. casey PERSON cana-5309 151 3 2017 DATE cana-5309 152 1 565–601 CARDINAL cana-5309 152 2 10.1007/978-3319-55556-0_6 CARDINAL cana-5309 153 1 9 CARDINAL cana-5309 153 2 da silva PERSON cana-5309 153 3 l. velho PERSON cana-5309 153 4 computers & graphics ORG cana-5309 153 5 93 CARDINAL cana-5309 154 1 oct. 2020 DATE cana-5309 154 2 10.1016 CARDINAL cana-5309 155 1 10 CARDINAL cana-5309 155 2 s. sanborn et al PERSON cana-5309 155 3 algebraic structures PERSON cana-5309 155 4 arxiv ORG cana-5309 155 5 cornell university ORG cana-5309 155 6 jul. 2024 DATE cana-5309 155 7 10.48550 CARDINAL cana-5309 156 1 11 CARDINAL cana-5309 156 2 j. batle PERSON cana-5309 156 3 a. bagdasaryan PERSON cana-5309 156 4 m. abdel-aty PERSON cana-5309 156 5 s. abdalla PERSON cana-5309 156 6 thomson ORG cana-5309 157 1 451 CARDINAL cana-5309 158 1 237–250 CARDINAL cana-5309 158 2 feb. 2016 DATE cana-5309 158 3 10.1016 CARDINAL cana-5309 159 1 12 CARDINAL cana-5309 159 2 s. huckemann PERSON cana-5309 159 3 b. eltzner PERSON cana-5309 159 4 2020 DATE cana-5309 160 1 317–338 CARDINAL cana-5309 160 2 10.1007/978-3-030-31351-7_10 CARDINAL cana-5309 161 1 13 CARDINAL cana-5309 161 2 w. peng PERSON cana-5309 161 3 t. varanka GPE cana-5309 161 4 a. mostafa PERSON cana-5309 161 5 h. shi PERSON cana-5309 161 6 g. zhao PERSON cana-5309 161 7 44 DATE cana-5309 161 8 12 CARDINAL cana-5309 162 1 10023–10044 CARDINAL cana-5309 162 2 dec. 2021 DATE cana-5309 162 3 10.1109 CARDINAL cana-5309 163 1 14 CARDINAL cana-5309 163 2 y. l. sukestiyarno PERSON cana-5309 163 3 k. u. z. nugroho PERSON cana-5309 163 4 s. sugiman PERSON cana-5309 163 5 b. waluya PERSON cana-5309 163 6 eurasia PERSON cana-5309 163 7 19 CARDINAL cana-5309 163 8 6 CARDINAL cana-5309 163 9 em2285 GPE cana-5309 163 10 2023 CARDINAL cana-5309 163 11 10.29333 CARDINAL cana-5309 164 1 15 CARDINAL cana-5309 164 2 a. a. ungar PERSON cana-5309 164 3 2012 DATE cana-5309 165 1 463–504 CARDINAL cana-5309 166 1 10.1007/978-3642-28821-0_18 CARDINAL