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- 81185604 contributor B4070736.
- 81185604 created "[1980]".
- 81185604 date "1980".
- 81185604 date "[1980]".
- 81185604 dateCopyrighted "[1980]".
- 81185604 description "Bibliography: p. 34.".
- 81185604 extent "34 p. :".
- 81185604 isPartOf "Memo (Maʻhad al-Takhṭīṭ al-Qawmī (Egypt)) ; no. 1270.".
- 81185604 isPartOf "Memo / United Arab Republic, the Institute of National Planning ; no. 1270".
- 81185604 issued "1980".
- 81185604 issued "[1980]".
- 81185604 language "eng".
- 81185604 publisher "Nasr City, Cairo : United Arab Republic, Institute of National Planning,".
- 81185604 subject "Duality theory (Mathematics)".
- 81185604 subject "HD82 .C23 no. 1270 T57.74".
- 81185604 subject "Linear programming.".
- 81185604 title "A geometrical proof for the duality theorem in linear programming / by M. el-Kafrawy.".
- 81185604 type "text".