id sid eid entity type iajs-2560 1 1 ibn al-haitham jour PERSON iajs-2560 2 1 sci ORG iajs-2560 3 1 34 CARDINAL iajs-2560 3 2 1 CARDINAL iajs-2560 3 3 2021 CARDINAL iajs-2560 3 4 omar a. abdulla ali PERSON iajs-2560 3 5 k. mohammadali PERSON iajs-2560 3 6 ali.shebl@st.tu.edu.iq h.mohammadali@tu.edu.iq PERSON iajs-2560 3 7 2 CARDINAL iajs-2560 3 8 𝑅module GPE iajs-2560 3 9 ∈ ORG iajs-2560 8 1 jacobin PERSON iajs-2560 9 1 1 CARDINAL iajs-2560 9 2 𝑅modules ORG iajs-2560 10 1 ∈ 𝐻 ORG iajs-2560 10 2 ∈ 𝐻 or π‘Žβˆ ORG iajs-2560 11 1 𝐻[1 GPE iajs-2560 12 1 2 CARDINAL iajs-2560 12 2 ∈ 𝐻 ORG iajs-2560 12 3 ∈ 𝐻 ORG iajs-2560 12 4 π‘Žπ‘›βˆ βŠ† CARDINAL iajs-2560 13 1 2 CARDINAL iajs-2560 13 2 al haitham PERSON iajs-2560 13 3 10.30526/34.1.2560 CARDINAL iajs-2560 13 4 4 CARDINAL iajs-2560 13 5 13 DATE iajs-2560 13 6 february 2020 DATE iajs-2560 13 7 january 2021 DATE iajs-2560 13 8 the ministry of education ORG iajs-2560 13 9 tikrit GPE iajs-2560 13 10 iraq GPE iajs-2560 14 1 the ministry of education ORG iajs-2560 14 2 tikrit GPE iajs-2560 14 3 iraq GPE iajs-2560 15 1 tikrit university ORG iajs-2560 15 2 tikrit GPE iajs-2560 15 3 iraq GPE iajs-2560 16 1 ibn al-haitham jour PERSON iajs-2560 18 1 sci ORG iajs-2560 19 1 34 CARDINAL iajs-2560 19 2 1 CARDINAL iajs-2560 19 3 2021 CARDINAL iajs-2560 19 4 2 CARDINAL iajs-2560 19 5 ∈ 𝐻 ORG iajs-2560 19 6 ∈ 𝐻 ORG iajs-2560 19 7 ∈ 𝐻 ORG iajs-2560 19 8 𝐻[3 PRODUCT iajs-2560 20 1 2 CARDINAL iajs-2560 20 2 4 CARDINAL iajs-2560 21 1 dubey PERSON iajs-2560 21 2 2 CARDINAL iajs-2560 21 3 2 CARDINAL iajs-2560 21 4 ∈ 𝐻 ORG iajs-2560 21 5 ∈ π‘Ÿπ‘Žπ‘‘βˆ(𝐻 ORG iajs-2560 21 6 𝐻. PERSON iajs-2560 26 1 11 CARDINAL iajs-2560 27 1 𝐽(𝑅 ORG iajs-2560 29 1 12 CARDINAL iajs-2560 30 1 2 CARDINAL iajs-2560 31 1 2 CARDINAL iajs-2560 32 1 1 CARDINAL iajs-2560 32 2 ∈ 𝐻 ORG iajs-2560 32 3 ∈ π‘Ÿπ‘Žπ‘‘βˆ(𝐻 ORG iajs-2560 32 4 ∈ π‘Ÿπ‘Žπ‘‘βˆ(𝐻 ORG iajs-2560 34 1 𝑅module NORP iajs-2560 34 2 2 1 DATE iajs-2560 35 1 2 CARDINAL iajs-2560 36 1 2 CARDINAL iajs-2560 36 2 2.2 CARDINAL iajs-2560 37 1 2 CARDINAL iajs-2560 37 2 2 CARDINAL iajs-2560 38 1 4Μ… CARDINAL iajs-2560 38 2 2.2 CARDINAL iajs-2560 38 3 4 CARDINAL iajs-2560 41 1 ∈ ORG iajs-2560 42 1 2𝑍. CARDINAL iajs-2560 42 2 2.2 CARDINAL iajs-2560 43 1 ∈ ORG iajs-2560 43 2 2 CARDINAL iajs-2560 45 1 2.2 CARDINAL iajs-2560 45 2 4 CARDINAL iajs-2560 45 3 2Μ…βŒͺ:𝑍 CARDINAL iajs-2560 45 4 2𝑍. 2 DATE iajs-2560 47 1 𝑍8 ORG iajs-2560 47 2 2 CARDINAL iajs-2560 47 3 ∈ ORG iajs-2560 47 4 2 CARDINAL iajs-2560 47 5 2Μ… CARDINAL iajs-2560 47 6 2 CARDINAL iajs-2560 47 7 2.2 CARDINAL iajs-2560 48 1 ∈ ORG iajs-2560 48 2 2 CARDINAL iajs-2560 48 3 ∈ ORG iajs-2560 48 4 2 CARDINAL iajs-2560 48 5 2 CARDINAL iajs-2560 48 6 ∈ π‘Ÿπ‘Žπ‘‘βˆ(𝐾 PERSON iajs-2560 48 7 2βŒͺ QUANTITY iajs-2560 48 8 2.2 CARDINAL iajs-2560 48 9 4 CARDINAL iajs-2560 48 10 2𝑍. 3 DATE iajs-2560 50 1 0Μ… PRODUCT iajs-2560 50 2 ∁. ORG iajs-2560 50 3 3 CARDINAL iajs-2560 50 4 3 CARDINAL iajs-2560 50 5 ∈ ORG iajs-2560 50 6 118 CARDINAL iajs-2560 50 7 ibn al-haitham jour PERSON iajs-2560 52 1 sci ORG iajs-2560 53 1 34 CARDINAL iajs-2560 53 2 1 CARDINAL iajs-2560 53 3 2021 CARDINAL iajs-2560 53 4 3 βˆ‰ √[〈0Μ… QUANTITY iajs-2560 55 1 ∈ ORG iajs-2560 55 2 0Μ… CARDINAL iajs-2560 55 3 0βŒͺ QUANTITY iajs-2560 55 4 0Μ… PRODUCT iajs-2560 55 5 ∈ ORG iajs-2560 56 1 0Μ… CARDINAL iajs-2560 56 2 0βŒͺ QUANTITY iajs-2560 56 3 0Μ… PRODUCT iajs-2560 56 4 0Μ… PRODUCT iajs-2560 57 1 2.3 CARDINAL iajs-2560 58 1 2,3 CARDINAL iajs-2560 58 2 ∈ ORG iajs-2560 58 3 𝑍6 GPE iajs-2560 58 4 2 CARDINAL iajs-2560 58 5 0Μ… CARDINAL iajs-2560 58 6 2.3 CARDINAL iajs-2560 58 7 6 CARDINAL iajs-2560 58 8 0Μ… PRODUCT iajs-2560 60 1 3 CARDINAL iajs-2560 60 2 ∁. ORG iajs-2560 61 1 βŠ† CARDINAL iajs-2560 63 1 ∈ ORG iajs-2560 64 1 ∈ ORG iajs-2560 65 1 ∈ ORG iajs-2560 66 1 ∈ ORG iajs-2560 67 1 ∈ ORG iajs-2560 68 1 ∈ ORG iajs-2560 72 1 βŠ† CARDINAL iajs-2560 73 1 ∈ ORG iajs-2560 75 1 ∈ ORG iajs-2560 76 1 ∈ ORG iajs-2560 78 1 ∈ ORG iajs-2560 79 1 ∈ ORG iajs-2560 80 1 ∈ ORG iajs-2560 80 2 ∁. ORG iajs-2560 80 3 4 CARDINAL iajs-2560 81 1 βŠ† CARDINAL iajs-2560 82 1 βŠ† CARDINAL iajs-2560 83 1 𝑏𝐾 ORG iajs-2560 83 2 βŠ† CARDINAL iajs-2560 85 1 βŠ† CARDINAL iajs-2560 88 1 𝑏𝐾 ORG iajs-2560 89 1 π‘Žπ‘˜1 βˆ‰ π‘Ÿπ‘Žπ‘‘βˆ(𝐿 ORG iajs-2560 90 1 π‘π‘˜2 βˆ‰ π‘Ÿπ‘Žπ‘‘βˆ(𝐿 PERSON iajs-2560 92 1 π‘Žπ‘˜1 βˆ‰ π‘Ÿπ‘Žπ‘‘βˆ(𝐿 ORG iajs-2560 94 1 π‘Žπ‘π‘˜2 ∈ PERSON iajs-2560 95 1 π‘π‘˜2 βˆ‰ π‘Ÿπ‘Žπ‘‘βˆ(𝐿 PERSON iajs-2560 95 2 ∈ ORG iajs-2560 104 1 π‘Žπ‘˜1 ∈ π‘Ÿπ‘Žπ‘‘βˆ(𝐿 ORG iajs-2560 109 1 π‘π‘˜2 ∈ π‘Ÿπ‘Žπ‘‘βˆ(𝐿 PERSON iajs-2560 111 1 βŠ† CARDINAL iajs-2560 112 1 𝑏𝐾 ORG iajs-2560 112 2 βŠ† CARDINAL iajs-2560 115 1 π‘Žπ‘(π‘₯ ORG iajs-2560 115 2 βŠ† CARDINAL iajs-2560 115 3 π‘Ž(π‘₯ PERSON iajs-2560 115 4 βŠ† CARDINAL iajs-2560 116 1 βŠ† CARDINAL iajs-2560 119 1 ∈ ORG iajs-2560 121 1 ∁. CARDINAL iajs-2560 121 2 119 ibn al-haitham jour QUANTITY iajs-2560 123 1 sci ORG iajs-2560 124 1 34 CARDINAL iajs-2560 124 2 1 CARDINAL iajs-2560 124 3 2021 CARDINAL iajs-2560 124 4 5 CARDINAL iajs-2560 124 5 ∁. ORG iajs-2560 124 6 𝐼𝐽𝐾 βŠ† ORG iajs-2560 124 7 𝐼𝐽 ORG iajs-2560 124 8 βŠ† CARDINAL iajs-2560 124 9 𝐼𝐾 βŠ† π‘Ÿπ‘Žπ‘‘βˆ(𝐿 ORG iajs-2560 128 1 𝐼𝐽𝐾 βŠ† ORG iajs-2560 128 2 𝐼𝐽 ORG iajs-2560 130 1 𝐼𝐾 βŠ† π‘Ÿπ‘Žπ‘‘βˆ(𝐿 ORG iajs-2560 134 1 𝐼𝐾 ORG iajs-2560 137 1 π‘Ÿ2𝐾 CARDINAL iajs-2560 139 1 π‘Ÿ1π‘Ÿ2𝐾 βŠ† CARDINAL iajs-2560 140 1 π‘Ÿ2𝐾 CARDINAL iajs-2560 141 1 proposition(4 PERSON iajs-2560 142 1 𝐼𝐽 ORG iajs-2560 146 1 βŠ† CARDINAL iajs-2560 146 2 βˆ‰ ORG iajs-2560 146 3 proposition(4 PERSON iajs-2560 146 4 𝑠1𝐾 βŠ† ORG iajs-2560 147 1 𝑠2𝐾 βŠ† ORG iajs-2560 149 1 one CARDINAL iajs-2560 149 2 𝑠1𝐾 βŠ† ORG iajs-2560 150 1 𝑠2𝐾 ⊈ π‘Ÿπ‘Žπ‘‘βˆ(𝐿 NORP iajs-2560 151 1 π‘Ÿ1𝑠2𝐾 βŠ† CARDINAL iajs-2560 151 2 𝑠2𝐾 ⊈ π‘Ÿπ‘Žπ‘‘βˆ(𝐿 NORP iajs-2560 154 1 proposition(4 PERSON iajs-2560 155 1 𝑠1𝐾 βŠ† ORG iajs-2560 159 1 βŠ† CARDINAL iajs-2560 159 2 𝑠2𝐾 ⊈ π‘Ÿπ‘Žπ‘‘βˆ(𝐿 NORP iajs-2560 159 3 proposition(4 PERSON iajs-2560 159 4 + 𝑠1)𝑠2 ∈ MONEY iajs-2560 162 1 two CARDINAL iajs-2560 163 1 𝑠1𝐾 NORP iajs-2560 164 1 one CARDINAL iajs-2560 165 1 three CARDINAL iajs-2560 165 2 𝑠1𝐾 βŠ† ORG iajs-2560 166 1 𝑠2𝐾 βŠ† ORG iajs-2560 168 1 𝑠2𝐾 βŠ† ORG iajs-2560 168 2 π‘Ÿ2𝐾 CARDINAL iajs-2560 170 1 βŠ† CARDINAL iajs-2560 172 1 proposition(4 PERSON iajs-2560 173 1 ∈ ORG iajs-2560 176 1 𝑠1𝐾 βŠ† ORG iajs-2560 178 1 π‘Ÿ2𝐾 CARDINAL iajs-2560 181 1 proposition(4 PERSON iajs-2560 184 1 βŠ† CARDINAL iajs-2560 188 1 proposition(4 PERSON iajs-2560 190 1 𝐼𝐾 βŠ† π‘Ÿπ‘Žπ‘‘βˆ(𝐿 ORG iajs-2560 193 1 6 CARDINAL iajs-2560 193 2 ∁. ORG iajs-2560 193 3 ∁. ORG iajs-2560 193 4 120 ibn al-haitham jour QUANTITY iajs-2560 195 1 sci ORG iajs-2560 196 1 34 CARDINAL iajs-2560 196 2 1 CARDINAL iajs-2560 196 3 2021 CARDINAL iajs-2560 196 4 βˆ‰ π‘Ÿπ‘Žπ‘‘βˆ(𝐻 ORG iajs-2560 197 1 βŠ† CARDINAL iajs-2560 197 2 π‘ŽβˆβŠ† π‘Ÿπ‘Žπ‘‘βˆ(𝐻 EVENT iajs-2560 197 3 βŠ† CARDINAL iajs-2560 199 1 ∈ ∁. ORG iajs-2560 199 2 ∁. ORG iajs-2560 201 1 8 CARDINAL iajs-2560 201 2 βŠ† CARDINAL iajs-2560 201 3 ∈ ORG iajs-2560 201 4 ∈ ORG iajs-2560 201 5 βŠ† CARDINAL iajs-2560 201 6 ∁. ORG iajs-2560 201 7 ∈ ORG iajs-2560 201 8 ∈ ORG iajs-2560 202 1 ∈ ORG iajs-2560 202 2 ∈ ORG iajs-2560 202 3 βŠ† CARDINAL iajs-2560 205 1 ∈ ORG iajs-2560 205 2 βŠ† CARDINAL iajs-2560 206 1 βŠ† CARDINAL iajs-2560 206 2 βŠ† CARDINAL iajs-2560 206 3 βŠ† CARDINAL iajs-2560 209 1 9 CARDINAL iajs-2560 209 2 ∁. ORG iajs-2560 209 3 𝐿1𝐿2𝐿3 GPE iajs-2560 209 4 𝐿1 CARDINAL iajs-2560 209 5 𝐿2 CARDINAL iajs-2560 209 6 𝐿3 CARDINAL iajs-2560 209 7 βŠ† CARDINAL iajs-2560 209 8 βŠ† CARDINAL iajs-2560 209 9 𝐿1𝐿2π‘Š ORG iajs-2560 209 10 βŠ† CARDINAL iajs-2560 210 1 𝐿1𝐿2𝐿3 GPE iajs-2560 210 2 𝐿1 CARDINAL iajs-2560 210 3 𝐿2 CARDINAL iajs-2560 210 4 𝐿3 CARDINAL iajs-2560 211 1 𝐿1 CARDINAL iajs-2560 211 2 𝐿2 CARDINAL iajs-2560 212 1 𝐼1 PRODUCT iajs-2560 212 2 𝐼2 CARDINAL iajs-2560 214 1 βŠ† CARDINAL iajs-2560 214 2 𝐼2𝐿3 βŠ† π‘Ÿπ‘Žπ‘‘βˆ(𝐿 PRODUCT iajs-2560 214 3 + 𝐽(∁ PERCENT iajs-2560 214 4 βŠ† CARDINAL iajs-2560 214 5 βŠ† CARDINAL iajs-2560 214 6 + 𝐽(∁ PERCENT iajs-2560 214 7 𝐼1 CARDINAL iajs-2560 214 8 ∁. ORG iajs-2560 215 1 βŠ† CARDINAL iajs-2560 215 2 βŠ† CARDINAL iajs-2560 215 3 βŠ† CARDINAL iajs-2560 215 4 βŠ† CARDINAL iajs-2560 216 1 βŠ† CARDINAL iajs-2560 217 1 βŠ† CARDINAL iajs-2560 218 1 βŠ† CARDINAL iajs-2560 220 1 5 CARDINAL iajs-2560 220 2 ∁. ORG iajs-2560 220 3 121 ibn al-haitham jour QUANTITY iajs-2560 222 1 sci ORG iajs-2560 223 1 34 CARDINAL iajs-2560 223 2 1 CARDINAL iajs-2560 223 3 2021 CARDINAL iajs-2560 223 4 10 CARDINAL iajs-2560 224 1 10 CARDINAL iajs-2560 225 1 10 CARDINAL iajs-2560 225 2 ∁. ORG iajs-2560 225 3 𝑅homomorphism NORP iajs-2560 225 4 𝑓(𝐽(∁ PERSON iajs-2560 226 1 βŠ† CARDINAL iajs-2560 226 2 βŠ† CARDINAL iajs-2560 227 1 𝑓(𝐽(∁ PERSON iajs-2560 229 1 11 CARDINAL iajs-2560 230 1 2 CARDINAL iajs-2560 230 2 βˆΜ… CARDINAL iajs-2560 230 3 ker(𝑓 ORG iajs-2560 230 4 βŠ† CARDINAL iajs-2560 232 1 12 CARDINAL iajs-2560 232 2 βˆΜ…. LOC iajs-2560 232 3 π‘“βˆ’1( CARDINAL iajs-2560 232 4 ∁. ORG iajs-2560 232 5 ∈ ORG iajs-2560 232 6 π‘“βˆ’1( PRODUCT iajs-2560 233 1 βˆΜ…. LOC iajs-2560 233 2 βŠ† CARDINAL iajs-2560 234 1 lemma ORG iajs-2560 234 2 10 CARDINAL iajs-2560 234 3 11 CARDINAL iajs-2560 236 1 ∈ π‘“βˆ’1(π‘Ÿπ‘Žπ‘‘βˆΜ…( LAW iajs-2560 238 1 βŠ† CARDINAL iajs-2560 239 1 π‘“βˆ’1( CARDINAL iajs-2560 239 2 ∁. ORG iajs-2560 239 3 13 CARDINAL iajs-2560 239 4 βŠ† CARDINAL iajs-2560 240 1 βˆΜ…. LOC iajs-2560 240 2 ∁. ORG iajs-2560 240 3 π‘Ÿπ‘ π‘“(π‘₯ CARDINAL iajs-2560 240 4 ∈ ORG iajs-2560 241 1 ∈ ORG iajs-2560 241 2 βŠ† CARDINAL iajs-2560 241 3 ∈ ORG iajs-2560 241 4 ∈ ORG iajs-2560 241 5 lemma(11 GPE iajs-2560 242 1 𝑓(𝐽(∁ PERSON iajs-2560 243 1 βŠ† CARDINAL iajs-2560 244 1 𝑓(𝐽(∁ PERSON iajs-2560 245 1 𝑓(𝐽(∁ PERSON iajs-2560 246 1 βŠ† CARDINAL iajs-2560 247 1 𝑓(𝐽(∁ PERSON iajs-2560 247 2 βŠ† CARDINAL iajs-2560 248 1 𝑓(𝐽(∁ PERSON iajs-2560 249 1 βŠ† CARDINAL iajs-2560 250 1 lemma ORG iajs-2560 250 2 12 CARDINAL iajs-2560 252 1 π‘Ÿπ‘ βˆΜ… βŠ† 𝑓(𝐾 ORG iajs-2560 254 1 βˆΜ…. PRODUCT iajs-2560 254 2 14 CARDINAL iajs-2560 255 1 9 CARDINAL iajs-2560 258 1 √𝐽. ∁= PERSON iajs-2560 259 1 ∁. ORG iajs-2560 259 2 15 CARDINAL iajs-2560 260 1 2 CARDINAL iajs-2560 260 2 1 CARDINAL iajs-2560 260 3 1 CARDINAL iajs-2560 261 1 𝐽(𝑅 GPE iajs-2560 263 1 16 CARDINAL iajs-2560 263 2 ∁. ORG iajs-2560 263 3 ibn al-haitham jour PERSON iajs-2560 264 1 sci ORG iajs-2560 265 1 34 CARDINAL iajs-2560 265 2 1 CARDINAL iajs-2560 265 3 2021 CARDINAL iajs-2560 266 1 βŠ† CARDINAL iajs-2560 266 2 βˆ‰ ORG iajs-2560 272 1 ∁. ORG iajs-2560 273 1 lemma ORG iajs-2560 273 2 15 CARDINAL iajs-2560 277 1 βŠ† CARDINAL iajs-2560 277 2 βŠ† CARDINAL iajs-2560 277 3 4 CARDINAL iajs-2560 277 4 βŠ† CARDINAL iajs-2560 277 5 βŠ† CARDINAL iajs-2560 280 1 𝐽(𝑅 PERSON iajs-2560 282 1 βŠ† CARDINAL iajs-2560 284 1 π‘πΌβˆ βŠ† ORG iajs-2560 286 1 βŠ† CARDINAL iajs-2560 287 1 βŠ† CARDINAL iajs-2560 290 1 𝑅. (⇐ ORG iajs-2560 290 2 βŠ† CARDINAL iajs-2560 292 1 lemma ORG iajs-2560 292 2 15 CARDINAL iajs-2560 301 1 βŠ† CARDINAL iajs-2560 301 2 𝐼 of 𝑅. hence π‘Ÿπ‘ πΌβˆ ORG iajs-2560 301 3 βŠ† CARDINAL iajs-2560 301 4 βŠ† CARDINAL iajs-2560 305 1 4 CARDINAL iajs-2560 305 2 βŠ† CARDINAL iajs-2560 309 1 βŠ† CARDINAL iajs-2560 312 1 lemma ORG iajs-2560 312 2 15 CARDINAL iajs-2560 315 1 βŠ† CARDINAL iajs-2560 316 1 𝑠𝐾 ORDINAL iajs-2560 316 2 βŠ† CARDINAL iajs-2560 317 1 4 CARDINAL iajs-2560 317 2 ∁. ORG iajs-2560 317 3 17 CARDINAL iajs-2560 318 1 10 CARDINAL iajs-2560 318 2 17.10 CARDINAL iajs-2560 318 3 𝐽(𝑅 GPE iajs-2560 320 1 18 CARDINAL iajs-2560 320 2 ∁. ORG iajs-2560 321 1 βŠ† CARDINAL iajs-2560 321 2 βˆ‰ ORG iajs-2560 327 1 ∁. ORG iajs-2560 328 1 17 CARDINAL iajs-2560 332 1 βŠ† CARDINAL iajs-2560 332 2 βŠ† CARDINAL iajs-2560 332 3 4 CARDINAL iajs-2560 332 4 βŠ† CARDINAL iajs-2560 332 5 βŠ† CARDINAL iajs-2560 335 1 𝐽(𝑅 ORG iajs-2560 337 1 βŠ† CARDINAL iajs-2560 339 1 π‘πΌβˆ βŠ† ORG iajs-2560 341 1 ∁. ORG iajs-2560 342 1 βŠ† CARDINAL iajs-2560 343 1 βŠ† CARDINAL iajs-2560 345 1 𝑅. (⇐ ORG iajs-2560 345 2 βŠ† CARDINAL iajs-2560 347 1 17 CARDINAL iajs-2560 352 1 ∁. ORG iajs-2560 357 1 βŠ† CARDINAL iajs-2560 357 2 123 CARDINAL iajs-2560 357 3 al-haitham jour ORG iajs-2560 359 1 sci ORG iajs-2560 360 1 34 CARDINAL iajs-2560 360 2 1 CARDINAL iajs-2560 360 3 2021 CARDINAL iajs-2560 360 4 𝐼 of 𝑅. hence π‘Ÿπ‘ πΌβˆ ORG iajs-2560 360 5 βŠ† CARDINAL iajs-2560 360 6 βŠ† CARDINAL iajs-2560 364 1 4 CARDINAL iajs-2560 364 2 βŠ† CARDINAL iajs-2560 368 1 βŠ† CARDINAL iajs-2560 371 1 17 CARDINAL iajs-2560 374 1 βŠ† CARDINAL iajs-2560 375 1 𝑠𝐾 ORDINAL iajs-2560 375 2 βŠ† CARDINAL iajs-2560 376 1 4 CARDINAL iajs-2560 376 2 ∁. ORG iajs-2560 377 1 19[14 CARDINAL iajs-2560 378 1 βŠ† CARDINAL iajs-2560 378 2 𝐼1 βŠ† CARDINAL iajs-2560 379 1 20[15 CARDINAL iajs-2560 380 1 2.4 CARDINAL iajs-2560 380 2 𝐼 ORG iajs-2560 380 3 βŠ† CARDINAL iajs-2560 381 1 21 CARDINAL iajs-2560 381 2 ∁. ORG iajs-2560 381 3 𝐼∁ ORG iajs-2560 381 4 ∁. ORG iajs-2560 381 5 ∈ ORG iajs-2560 381 6 βŠ† CARDINAL iajs-2560 381 7 𝐼∁ NORP iajs-2560 381 8 βŠ† CARDINAL iajs-2560 382 1 βŠ† CARDINAL iajs-2560 384 1 βŠ† CARDINAL iajs-2560 384 2 𝐼 ORG iajs-2560 384 3 proposition(4 PERSON iajs-2560 385 1 ∈ ORG iajs-2560 386 1 𝐼 + 𝐽(𝑅 ORG iajs-2560 387 1 βŠ† PRODUCT iajs-2560 387 2 + 𝐽(𝑅)∁ DATE iajs-2560 387 3 βŠ† CARDINAL iajs-2560 387 4 + 𝐽(𝑅)∁ DATE iajs-2560 387 5 βŠ† CARDINAL iajs-2560 387 6 𝐽(𝑅)∁= 𝐽(∁ PERSON iajs-2560 388 1 ∈ ORG iajs-2560 388 2 ∈ ORG iajs-2560 388 3 π‘Ÿπ‘Žπ‘‘βˆ(𝐼∁ PRODUCT iajs-2560 390 1 𝐼∁ ORG iajs-2560 390 2 ∁. ORG iajs-2560 390 3 22 CARDINAL iajs-2560 390 4 ∁. ORG iajs-2560 391 1 1. l CARDINAL iajs-2560 391 2 ∁. 2 ORG iajs-2560 392 1 𝑅. 3 ORG iajs-2560 393 1 1 ⇔ 2 CARDINAL iajs-2560 394 1 2 β‡’ 3 CARDINAL iajs-2560 396 1 βŠ† CARDINAL iajs-2560 399 1 i∁. DATE iajs-2560 399 2 𝑅module GPE iajs-2560 399 3 j. PERSON iajs-2560 400 1 ibn al-haitham jour PERSON iajs-2560 401 1 sci ORG iajs-2560 402 1 34 CARDINAL iajs-2560 402 2 1 CARDINAL iajs-2560 402 3 2 CARDINAL iajs-2560 405 1 1 CARDINAL iajs-2560 406 1 c.p. GPE iajs-2560 407 1 1981 DATE iajs-2560 407 2 33 DATE iajs-2560 407 3 61 CARDINAL iajs-2560 408 1 2 CARDINAL iajs-2560 408 2 c.p. GPE iajs-2560 409 1 japan GPE iajs-2560 410 1 1989 DATE iajs-2560 410 2 34 DATE iajs-2560 410 3 61 CARDINAL iajs-2560 411 1 3 CARDINAL iajs-2560 411 2 2 CARDINAL iajs-2560 412 1 2007 DATE iajs-2560 412 2 75 DATE iajs-2560 412 3 417 CARDINAL iajs-2560 412 4 4 CARDINAL iajs-2560 412 5 2 CARDINAL iajs-2560 412 6 tikrit journal ORG iajs-2560 412 7 pure.sci, 2018 DATE iajs-2560 412 8 23,9 DATE iajs-2560 412 9 104-112 CARDINAL iajs-2560 413 1 5 CARDINAL iajs-2560 413 2 haibat PERSON iajs-2560 414 1 omar. PERSON iajs-2560 415 1 a.a. GPE iajs-2560 415 2 al haitham PERSON iajs-2560 415 3 2019 DATE iajs-2560 415 4 32,3 PRODUCT iajs-2560 415 5 129 CARDINAL iajs-2560 416 1 6 CARDINAL iajs-2560 416 2 haibat PERSON iajs-2560 417 1 khalaf PERSON iajs-2560 417 2 h.a. GPE iajs-2560 417 3 tikrit PERSON iajs-2560 417 4 pure.sci, 2018 DATE iajs-2560 417 5 239 CARDINAL iajs-2560 417 6 99 CARDINAL iajs-2560 418 1 dubey PERSON iajs-2560 418 2 m.; aggarwal PERSON iajs-2560 418 3 2 CARDINAL iajs-2560 418 4 asian-european NORP iajs-2560 418 5 2015 DATE iajs-2560 418 6 8,4 CARDINAL iajs-2560 418 7 243 CARDINAL iajs-2560 419 1 8 CARDINAL iajs-2560 419 2 a. barnard. PERSON iajs-2560 419 3 1981,71 CARDINAL iajs-2560 419 4 174 CARDINAL iajs-2560 420 1 9 CARDINAL iajs-2560 421 1 el-bast ORG iajs-2560 422 1 z.a. GPE iajs-2560 423 1 755779 DATE iajs-2560 424 1 10 CARDINAL iajs-2560 425 1 kasch f. PERSON iajs-2560 425 2 london GPE iajs-2560 425 3 new york GPE iajs-2560 425 4 11 CARDINAL iajs-2560 426 1 burton PERSON iajs-2560 426 2 d.m. GPE iajs-2560 426 3 first ORDINAL iajs-2560 427 1 1970 DATE iajs-2560 428 1 12 CARDINAL iajs-2560 429 1 anderson PERSON iajs-2560 429 2 d.d. GPE iajs-2560 429 3 2003 DATE iajs-2560 429 4 29 DATE iajs-2560 429 5 831 CARDINAL iajs-2560 429 6 13 CARDINAL iajs-2560 429 7 darani PERSON iajs-2560 429 8 a.y. GPE iajs-2560 429 9 f. PERSON iajs-2560 429 10 2 CARDINAL iajs-2560 429 11 2 CARDINAL iajs-2560 429 12 math.2011, ORG iajs-2560 429 13 9 DATE iajs-2560 429 14 577 CARDINAL iajs-2560 429 15 14 CARDINAL iajs-2560 430 1 p.f. GPE iajs-2560 432 1 1988 DATE iajs-2560 432 2 50 DATE iajs-2560 432 3 223 CARDINAL iajs-2560 433 1 15 CARDINAL iajs-2560 434 1 ahmed PERSON iajs-2560 434 2 a.a. GPE iajs-2560 435 1 baghdad university ORG iajs-2560 435 2 1992 DATE