Let κ be a singular cardinal in V , and let W ⊇ V be a model such that κ+V = λ + W for some W -cardinal λ with W |= cf(κ) 6= cf(λ). We apply Shelah’s pcf theory to study this situation, and prove the following results. 1) W is not a κ+-c.c generic extension of V . 2) There is no “good scale for κ” in V , so in particular weak forms of square must fail at κ. 3) If V |= cf(κ) = א0 then V |= “κ is...

one of the rich families of azerbaijan during mongol and ilkhanid period was “jamā‘at-e malekān” of tabriz. the persons of this family had rulership in tabriz and its districts and were nobles and respected persons for the mongol khans including holagu (rule: 651-663). some personalities of this family, like malek mahmūd, amīr majd al-dīn muhammad and abu al-majd tabrizi, were poets and scholar...

during the medieval iranian history, many of courtiers were aware of medicine. by the thirteenth and fourteenth century, under mongol yoke, a lot of minorities emancipated of abasid caliphate ties and could perform his religious deed. because of his jewish affiliation, rashid al-dincould join as an apothecary in the mongolian circles. large though mongol numbers were, they employed iranian sage...