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DATE iajs-2816 3 1 2wissam a. abdul-hussien al-anbaki PERSON iajs-2816 3 2 1-2department QUANTITY iajs-2816 3 3 baghdad GPE iajs-2816 3 4 iraq GPE iajs-2816 4 1 jhawassy17@uomustansiriyah.edu.iq wissamali14595@uomustansiriyah.edu.iq PERSON iajs-2816 10 1 1 CARDINAL iajs-2816 10 2 1 CARDINAL iajs-2816 11 1 2 CARDINAL iajs-2816 11 2 3 CARDINAL iajs-2816 11 3 4 CARDINAL iajs-2816 13 1 5 CARDINAL iajs-2816 14 1 6 CARDINAL iajs-2816 15 1 the last decade DATE iajs-2816 16 1 7 CARDINAL iajs-2816 17 1 three CARDINAL iajs-2816 17 2 al-haitham ORG iajs-2816 17 3 10.30526/35.3.2816 CARDINAL iajs-2816 17 4 1 CARDINAL iajs-2816 17 5 22 CARDINAL iajs-2816 17 6 july 2022 DATE iajs-2816 19 1 53 CARDINAL iajs-2816 19 2 3)2022 136 CARDINAL iajs-2816 19 3 10 15 CARDINAL iajs-2816 22 1 qaes ORG iajs-2816 22 2 wf ORG iajs-2816 25 1 Ο‰ βŠ‚ ℝ2 ORG iajs-2816 27 1 𝐼 Γ— Ο‰ ORG iajs-2816 28 1 0 CARDINAL iajs-2816 28 2 Οƒ = Ξ³ Γ— i. PERSON iajs-2816 29 1 𝑦2 + 𝑦3 + DATE iajs-2816 29 2 𝑑, 𝑦1 ORG iajs-2816 29 3 1 CARDINAL iajs-2816 29 4 2 CARDINAL iajs-2816 29 5 βˆ’ 𝑦1 + 𝑦2 + ORG iajs-2816 29 6 𝑦3 PERSON iajs-2816 29 7 3 CARDINAL iajs-2816 30 1 4 CARDINAL iajs-2816 30 2 0 CARDINAL iajs-2816 31 1 Οƒ CARDINAL iajs-2816 31 2 5 CARDINAL iajs-2816 32 1 1,2,3,4 CARDINAL iajs-2816 33 1 Ο‰ CARDINAL iajs-2816 33 2 6 CARDINAL iajs-2816 33 3 βƒ— ORG iajs-2816 33 4 𝑦3 PERSON iajs-2816 33 5 4 CARDINAL iajs-2816 33 6 𝑒3, 𝑒4 GPE iajs-2816 34 1 4 CARDINAL iajs-2816 34 2 𝑓1 ORG iajs-2816 34 3 𝑓2(π‘₯ PRODUCT iajs-2816 34 4 4 CARDINAL iajs-2816 34 5 ∈ Ο‰ ORG iajs-2816 36 1 4 CARDINAL iajs-2816 36 2 a. e. PERSON iajs-2816 37 1 𝐺1( ORG iajs-2816 37 2 0 CARDINAL iajs-2816 37 3 𝐺2( ORG iajs-2816 39 1 𝑒1)𝑑π‘₯𝑑𝑑 + ∫ 𝑔02(π‘₯ ORG iajs-2816 39 2 𝑦3 PERSON iajs-2816 39 3 7.a CARDINAL iajs-2816 40 1 𝑦3 PERSON iajs-2816 40 2 𝑒4)𝑑π‘₯𝑑𝑑 PRODUCT iajs-2816 40 3 0 CARDINAL iajs-2816 41 1 𝑑, 𝑦1 ORG iajs-2816 41 2 𝑒1)𝑑π‘₯𝑑𝑑 + ∫ 𝑔22(π‘₯ PERSON iajs-2816 41 3 𝑦3 PERSON iajs-2816 41 4 𝑒4)𝑑π‘₯𝑑𝑑 PRODUCT iajs-2816 41 5 7.c CARDINAL iajs-2816 41 6 𝑦3 PERSON iajs-2816 41 7 1 CARDINAL iajs-2816 41 8 6 CARDINAL iajs-2816 41 9 𝑒3, 𝑒4 GPE iajs-2816 42 1 ihjpas PERSON iajs-2816 43 1 53 CARDINAL iajs-2816 43 2 137 CARDINAL iajs-2816 43 3 𝑉1 CARDINAL iajs-2816 43 4 4 CARDINAL iajs-2816 43 5 βƒ— ORG iajs-2816 44 1 βƒ— ORG iajs-2816 44 2 βƒ— ORG iajs-2816 44 3 4 CARDINAL iajs-2816 44 4 0 CARDINAL iajs-2816 45 1 wf ORG iajs-2816 45 2 6 CARDINAL iajs-2816 45 3 βƒ— ORG iajs-2816 45 4 4 CARDINAL iajs-2816 45 5 βŒ©π‘¦1𝑑 PERSON iajs-2816 45 6 𝑓1(𝑦1 ORG iajs-2816 45 7 0 CARDINAL iajs-2816 45 8 𝑦1(0 GPE iajs-2816 46 1 𝑦3 PERSON iajs-2816 46 2 9.a CARDINAL iajs-2816 46 3 βˆ’ (𝑦1 ORG iajs-2816 46 4 10.a CARDINAL iajs-2816 46 5 10.b CARDINAL iajs-2816 46 6 βˆ‡π‘¦4 PRODUCT iajs-2816 47 1 𝑓4(𝑦4 NORP iajs-2816 47 2 11.a CARDINAL iajs-2816 47 3 11.b CARDINAL iajs-2816 48 1 𝐀 ORG iajs-2816 48 2 cara PERSON iajs-2816 50 1 w.r.t. ORG iajs-2816 51 1 π’šπ’Š & π’–π’Š ORG iajs-2816 51 2 𝟎 CARDINAL iajs-2816 51 3 ∈ ORG iajs-2816 54 1 ∈ ORG iajs-2816 54 2 0 CARDINAL iajs-2816 55 1 2.1 CARDINAL iajs-2816 56 1 13 CARDINAL iajs-2816 56 2 wf ORG iajs-2816 56 3 4 CARDINAL iajs-2816 56 4 wf ORG iajs-2816 56 5 8) CARDINAL iajs-2816 56 6 11 CARDINAL iajs-2816 56 7 βƒ— ORG iajs-2816 56 8 4 CARDINAL iajs-2816 56 9 βƒ— ORG iajs-2816 56 10 π‘‰βˆ— ORG iajs-2816 56 11 4 CARDINAL iajs-2816 57 1 0,1,2 CARDINAL iajs-2816 57 2 1,2,3,4 DATE iajs-2816 57 3 cara PERSON iajs-2816 58 1 t. on 𝑄 Γ— ORG iajs-2816 59 1 2 + DATE iajs-2816 59 2 2 CARDINAL iajs-2816 60 1 ∈ ORG iajs-2816 60 2 ∈ ORG iajs-2816 61 1 2.1 CARDINAL iajs-2816 61 2 0,1,2 CARDINAL iajs-2816 63 1 1.12 CARDINAL iajs-2816 63 2 16 CARDINAL iajs-2816 64 1 2.2 CARDINAL iajs-2816 65 1 16 CARDINAL iajs-2816 65 2 β‰  βˆ… PERSON iajs-2816 65 3 1,2 CARDINAL iajs-2816 65 4 3,4 CARDINAL iajs-2816 65 5 ∈ ORG iajs-2816 65 6 1,2 CARDINAL iajs-2816 65 7 3,4 CARDINAL iajs-2816 68 1 1,2,3,4 CARDINAL iajs-2816 68 2 cara PERSON iajs-2816 69 1 |𝑔𝑙𝑖𝑒𝑖(π‘₯ DATE iajs-2816 70 1 πœ‚π‘™π‘–5 ORG iajs-2816 70 2 ∈ PRODUCT iajs-2816 71 1 ihjpas PERSON iajs-2816 72 1 53 CARDINAL iajs-2816 72 2 138 CARDINAL iajs-2816 72 3 2.3 CARDINAL iajs-2816 73 1 16 CARDINAL iajs-2816 73 2 βƒ— ORG iajs-2816 73 3 βƒ— ORG iajs-2816 73 4 ‖𝛿𝑒⃗⃗⃗⃗⃗‖ π‘³πŸ(𝑸 PERSON iajs-2816 73 5 ‖𝛿𝑦⃗⃗⃗⃗⃗‖ π‘³πŸ(𝑸 PERSON iajs-2816 73 6 ‖𝛿𝑒⃗⃗⃗⃗⃗‖ π‘³πŸ(𝑸 PERSON iajs-2816 73 7 ‖𝛿𝑦⃗⃗⃗⃗⃗‖ π‘³πŸ(𝑰,𝑽 PERSON iajs-2816 73 8 ‖𝛿𝑒⃗⃗⃗⃗⃗‖ π‘³πŸ(𝑸 PERSON iajs-2816 74 1 2.4 CARDINAL iajs-2816 74 2 kuhn-tucker-lagrange ORG iajs-2816 75 1 10 CARDINAL iajs-2816 75 2 0 CARDINAL iajs-2816 76 1 𝐺1 CARDINAL iajs-2816 78 1 0,1,2 CARDINAL iajs-2816 78 2 ∈ ORG iajs-2816 78 3 πœ†0 CARDINAL iajs-2816 78 4 0 CARDINAL iajs-2816 78 5 0 CARDINAL iajs-2816 78 6 1 2 CARDINAL iajs-2816 78 7 s.t πœ†0𝐷𝐺0(𝑒 PERSON iajs-2816 78 8 0 CARDINAL iajs-2816 79 1 3 CARDINAL iajs-2816 79 2 qaes ORG iajs-2816 79 3 wf ORG iajs-2816 80 1 3.1 CARDINAL iajs-2816 80 2 β‰  βˆ… PERSON iajs-2816 80 3 1,2 CARDINAL iajs-2816 80 4 3,4 CARDINAL iajs-2816 82 1 ∈ ORG iajs-2816 83 1 1,2 CARDINAL iajs-2816 83 2 3,4 CARDINAL iajs-2816 86 1 1,2 CARDINAL iajs-2816 86 2 3,4 CARDINAL iajs-2816 86 3 2.1 CARDINAL iajs-2816 86 4 2.2 CARDINAL iajs-2816 87 1 3.2 CARDINAL iajs-2816 88 1 𝑧𝑒2 , 𝑧𝑒3 , ORG iajs-2816 88 2 𝑦3 PERSON iajs-2816 88 3 1 CARDINAL iajs-2816 88 4 6 CARDINAL iajs-2816 89 1 12 CARDINAL iajs-2816 90 1 13) βˆ’π‘§3𝑑 TIME iajs-2816 91 1 βˆ†π‘§3 DATE iajs-2816 92 1 14 CARDINAL iajs-2816 94 1 15 CARDINAL iajs-2816 94 2 0 CARDINAL iajs-2816 94 3 1,2,3,4 DATE iajs-2816 94 4 Οƒ ORG iajs-2816 94 5 16 CARDINAL iajs-2816 94 6 0 CARDINAL iajs-2816 94 7 1,2,3,4 DATE iajs-2816 94 8 17 CARDINAL iajs-2816 94 9 4 𝑖=1 CARDINAL iajs-2816 95 1 𝛿𝑒1 NORP iajs-2816 95 2 ihjpas PERSON iajs-2816 96 1 53 CARDINAL iajs-2816 96 2 firstly ORDINAL iajs-2816 96 3 βƒ— ORG iajs-2816 97 1 2.3 CARDINAL iajs-2816 97 2 𝑔𝑦1𝛿𝑦1 + 𝑔𝑒1𝛿𝑒1 ORG iajs-2816 97 3 18 CARDINAL iajs-2816 97 4 + νœ€4(𝛿𝑒⃗⃗⃗⃗⃗ PERCENT iajs-2816 98 1 wf ORG iajs-2816 98 2 qaes ORG iajs-2816 98 3 ∈ 𝑉 ORG iajs-2816 99 1 1,2,3,4 DATE iajs-2816 101 1 𝑧1𝑓1𝑦1 ORG iajs-2816 102 1 19 CARDINAL iajs-2816 104 1 𝑧2𝑓2𝑦2 PERSON iajs-2816 104 2 20 CARDINAL iajs-2816 105 1 𝑧3𝑓3𝑦3 GPE iajs-2816 105 2 21 CARDINAL iajs-2816 106 1 βˆ‡π‘£4 PERSON iajs-2816 107 1 𝑧4𝑓4𝑦4 CARDINAL iajs-2816 107 2 22 CARDINAL iajs-2816 107 3 19 CARDINAL iajs-2816 107 4 22 CARDINAL iajs-2816 108 1 1,2,3,4 CARDINAL iajs-2816 108 2 19 CARDINAL iajs-2816 108 3 22 CARDINAL iajs-2816 108 4 0 CARDINAL iajs-2816 108 5 ibp ORG iajs-2816 108 6 the 1st DATE iajs-2816 108 7 βŒ©π›Ώπ‘¦1 PERSON iajs-2816 109 1 βˆ‡π‘§1 PRODUCT iajs-2816 109 2 𝛿𝑦1 PERSON iajs-2816 111 1 𝛿𝑦1 PERSON iajs-2816 111 2 𝛿𝑦1 PERSON iajs-2816 112 1 𝑧1𝑓1𝑦1 ORG iajs-2816 112 2 𝛿𝑦1 PERSON iajs-2816 113 1 𝛿𝑦1)]𝑑𝑑 ORG iajs-2816 113 2 0 CARDINAL iajs-2816 113 3 23 CARDINAL iajs-2816 115 1 𝛿𝑦2)]𝑑𝑑 ORG iajs-2816 118 1 𝑧2𝑓2𝑦2 PERSON iajs-2816 118 2 𝛿𝑦2)]𝑑𝑑 ORG iajs-2816 118 3 0 CARDINAL iajs-2816 118 4 24 CARDINAL iajs-2816 122 1 25 CARDINAL iajs-2816 129 1 𝑧4𝑓4𝑦4 CARDINAL iajs-2816 130 1 𝛿𝑦4)]𝑑𝑑 𝑇 0 ORG iajs-2816 130 2 26 CARDINAL iajs-2816 130 3 1,2,3,4 CARDINAL iajs-2816 130 4 11.a DATE iajs-2816 131 1 ibs w.r.t PRODUCT iajs-2816 132 1 0 CARDINAL iajs-2816 132 2 βŒ©π›Ώπ‘¦1𝑑 PERSON iajs-2816 134 1 𝛿𝑦1 ORG iajs-2816 136 1 0 CARDINAL iajs-2816 136 2 𝑓1(𝑦1 ORG iajs-2816 137 1 𝑓1(𝑦1 ORG iajs-2816 137 2 0 CARDINAL iajs-2816 137 3 27 CARDINAL iajs-2816 138 1 𝛿𝑦2𝑑 ORG iajs-2816 139 1 𝛿𝑦1 ORG iajs-2816 141 1 0 CARDINAL iajs-2816 141 2 𝑧2)𝑑𝑑 CARDINAL iajs-2816 141 3 𝑧2)𝑑𝑑 CARDINAL iajs-2816 141 4 0 CARDINAL iajs-2816 141 5 28 CARDINAL iajs-2816 142 1 53 CARDINAL iajs-2816 142 2 3)2022 140 CARDINAL iajs-2816 142 3 βŒ©π›Ώπ‘¦3𝑑 PERSON iajs-2816 145 1 0 CARDINAL iajs-2816 146 1 0 CARDINAL iajs-2816 146 2 29 CARDINAL iajs-2816 149 1 0 CARDINAL iajs-2816 149 2 𝑓4(𝑦4 NORP iajs-2816 149 3 0 CARDINAL iajs-2816 149 4 30 CARDINAL iajs-2816 149 5 2.3 CARDINAL iajs-2816 149 6 βŒ©π›Ώπ‘¦1𝑑 PERSON iajs-2816 151 1 𝛿𝑦1 ORG iajs-2816 153 1 0 CARDINAL iajs-2816 153 2 βƒ—βƒ—βƒ—βƒ—βƒ—)‖𝛿𝑒⃗⃗⃗⃗⃗‖ π‘³πŸ(𝑸 PERSON iajs-2816 153 3 31 CARDINAL iajs-2816 154 1 𝛿𝑦2𝑑 ORG iajs-2816 155 1 𝛿𝑦1 ORG iajs-2816 157 1 0 CARDINAL iajs-2816 157 2 𝑧2)𝑑𝑑 CARDINAL iajs-2816 157 3 βƒ—βƒ—βƒ—βƒ—βƒ—)‖𝛿𝑒⃗⃗⃗⃗⃗‖ π‘³πŸ(𝑸 PERSON iajs-2816 157 4 32 CARDINAL iajs-2816 158 1 βŒ©π›Ώπ‘¦3𝑑 PERSON iajs-2816 161 1 0 CARDINAL iajs-2816 161 2 βƒ—βƒ—βƒ—βƒ—βƒ—)‖𝛿𝑒⃗⃗⃗⃗⃗‖ π‘³πŸ(𝑸 PERSON iajs-2816 161 3 33 CARDINAL iajs-2816 164 1 0 CARDINAL iajs-2816 164 2 0 𝑓4𝑦4𝛿𝑦4 + 𝑓4𝑒4𝛿𝑒4 MONEY iajs-2816 164 3 βƒ—βƒ—βƒ—βƒ—βƒ—)‖𝛿𝑒⃗⃗⃗⃗⃗‖ π‘³πŸ(𝑸 PERSON iajs-2816 164 4 34 CARDINAL iajs-2816 164 5 31 CARDINAL iajs-2816 164 6 34 CARDINAL iajs-2816 164 7 23 CARDINAL iajs-2816 164 8 26 CARDINAL iajs-2816 164 9 one CARDINAL iajs-2816 164 10 0 (𝑓1𝑒1𝛿𝑒1, PERCENT iajs-2816 164 11 𝑓4𝑒4𝛿𝑒4 CARDINAL iajs-2816 164 12 𝑧4)]𝑑𝑑 PERSON iajs-2816 164 13 βƒ—βƒ—βƒ—βƒ—βƒ—)‖𝛿𝑒⃗⃗⃗⃗⃗‖ π‘³πŸ(𝑸 PERSON iajs-2816 165 1 𝑔4𝑦4 , 𝛿𝑦4)]𝑑𝑑 ORG iajs-2816 165 2 35 CARDINAL iajs-2816 167 1 35 CARDINAL iajs-2816 167 2 18 CARDINAL iajs-2816 168 1 𝑧2𝑓2𝑒2 ORG iajs-2816 169 1 36 DATE iajs-2816 170 1 νœ€7(𝛿𝑒⃗⃗⃗⃗⃗ PERSON iajs-2816 172 1 37 CARDINAL iajs-2816 172 2 36 CARDINAL iajs-2816 172 3 37 CARDINAL iajs-2816 173 1 𝛿𝑒1 NORP iajs-2816 175 1 4 CARDINAL iajs-2816 176 1 ihjpas PERSON iajs-2816 177 1 53 CARDINAL iajs-2816 177 2 141 CARDINAL iajs-2816 177 3 4.1 CARDINAL iajs-2816 177 4 ∈ ORG iajs-2816 177 5 0,1,2 CARDINAL iajs-2816 177 6 πœ†0 CARDINAL iajs-2816 177 7 0 CARDINAL iajs-2816 177 8 0 CARDINAL iajs-2816 177 9 1 2 CARDINAL iajs-2816 177 10 s.t PERSON iajs-2816 178 1 lagrange GPE iajs-2816 178 2 βƒ— ORG iajs-2816 178 3 38.a CARDINAL iajs-2816 178 4 2 CARDINAL iajs-2816 179 1 1,2,3,4 DATE iajs-2816 179 2 0 CARDINAL iajs-2816 179 3 38.b CARDINAL iajs-2816 179 4 βƒ—βƒ—βƒ—οΏ½a. e. PERSON iajs-2816 179 5 ℝ2 CARDINAL iajs-2816 180 1 37.a CARDINAL iajs-2816 180 2 βƒ— ORG iajs-2816 181 1 βƒ— ORG iajs-2816 181 2 39 CARDINAL iajs-2816 182 1 2.1 CARDINAL iajs-2816 182 2 3.2 CARDINAL iajs-2816 182 3 βŠ‚ GPE iajs-2816 182 4 4 CARDINAL iajs-2816 183 1 0,1,2 CARDINAL iajs-2816 183 2 2.4 CARDINAL iajs-2816 183 3 ∈ ORG iajs-2816 184 1 0,1,2 CARDINAL iajs-2816 184 2 πœ†0 CARDINAL iajs-2816 184 3 0 CARDINAL iajs-2816 184 4 0 CARDINAL iajs-2816 184 5 1 2 CARDINAL iajs-2816 184 6 38a&b CARDINAL iajs-2816 185 1 3.2 CARDINAL iajs-2816 185 2 0,1,2 CARDINAL iajs-2816 185 3 38.a CARDINAL iajs-2816 186 1 0 4 𝑖=1 MONEY iajs-2816 187 1 2 DATE iajs-2816 187 2 2 𝑙=0 𝑧𝑙𝑖 DATE iajs-2816 188 1 𝛿𝑒1 NORP iajs-2816 189 1 βƒ— ORG iajs-2816 189 2 0 CARDINAL iajs-2816 190 1 38.a CARDINAL iajs-2816 190 2 39 DATE iajs-2816 190 3 βƒ—βƒ—βƒ—οΏ½a. e. PERSON iajs-2816 190 4 s.t. PERSON iajs-2816 190 5 βˆ‰ 𝑆 PERSON iajs-2816 190 6 38.a CARDINAL iajs-2816 190 7 βƒ— ORG iajs-2816 190 8 0 CARDINAL iajs-2816 190 9 βˆ€π‘†. ORG iajs-2816 190 10 3.2 CARDINAL iajs-2816 191 1 βƒ— ORG iajs-2816 191 2 a.e. GPE iajs-2816 191 3 βƒ— ORG iajs-2816 191 4 π‘ƒπ‘˜π‘˜ PERSON iajs-2816 192 1 βƒ— ORG iajs-2816 192 2 a.e. GPE iajs-2816 193 1 𝑄. β‡’ 𝐻�⃗⃗⃗� PERSON iajs-2816 193 2 βƒ— ORG iajs-2816 193 3 βƒ— ORG iajs-2816 193 4 a.e. 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