IN HER brief portrait of Mrs. Catherine Gladstone in 1956, Mrs. Georgina Battiscombe wrote that Mrs. Gladstone's efforts 'to be of some use in the [Crimean] war troubles' brought her into 'a most unfortunate collision' with Florence Nightingale when, under the influence of Mrs. Elizabeth Herbert, Mrs. Gladstone 'threw herself heart and soul ... into the good work of providing nurses for the mil...

haft-peykar (or bahram-nameh) is the fourth nizami’s verse composition in terms of time and one of his masterpieces besides his khosrow and shirin. haft-peykar consists of two general parts: the first part is about bahram and his life and the second one is about the stories of his seven wives. the structure of the book makes it possible to be criticized through a formalistic approach. the chara...

Let J ⊂ I be two monomial ideals such that I/J is Cohen Macaulay. By associating a finite posets P g I/J to I/J , we show that if I/J is a Stanley ideal then Ĩ/J is also a Stanley ideal, where Ĩ/J is the polarization of I/J . We also give relations between sdepth and fdepth of I/J and Ĩ/J .

D. Grigoriev-G. Koshevoy recently proved that tropical Schur polynomials have (at worst) polynomial tropical semiring complexity. They also conjectured tropical skew Schur polynomials have at least exponential complexity; we establish a polynomial complexity upper bound. Our proof uses results about (stable) Schubert polynomials, due to R. P. Stanley and S. Billey-W. Jockusch-R. P. Stanley, tog...

In 1981, Stanley applied the Aleksandrov–Fenchel Inequalities to prove a logarithmic concavity theorem for regular matroids. Using ideas from electrical network theory we prove a generalization of this for the wider class of matroids with the “half–plane property”. Then we explore a nest of inequalities for weighted basis– generating polynomials that are related to these ideas. As a first resul...

the holy quran is full of stories and its verses are occupied by lots of them, and the hero has the main role in them, so that the hero has a high role in moving the events of the story, enliven it and the detection of the ideas. the prophets and messengers are the most important heroes in quran stories; prophet moses has the most presence in its scenes. however, his roles have been different i...

manfaluti is one of egyptian authors in 20th century who paid most attention to social and mental issues of egypt nation. thus perhaps it is better to introduce manfauti as a scholar rather than literary man so that his readers have been interested in his works because of their social subjects since long time ago. some believe that manfaluti's works contain no technical elements. hence, th...

Social stratification, formation of various classes and appearance of various layers in the society is a fact resulting from social conditions of public life and a wide variety of material, economic and subsistence factors as well as political situation, religious beliefs and public customs and thoughts; also ethnic divisions play an essential and undeniable role in this field. Greed and coveto...