Search from the Journals, Articles, and Headings
Advanced Search (Beta)
Loading...
Loading...
Loading...
Loading...
Loading...
Loading...

حکیم حافظ خواجہ شمس الدین لکھنوی

حکیم حافظ خواجہ شمس الدین لکھنوی
افسوس ہے کہ گذشتہ مہینہ دو ممتاز اہل علم نے وفات پائی، حکیم حافظ خواجہ شمس الدین لکھنوی اور سید اختر علی صاحب تلہری، حکیم صاحب تنہا حاذق طبیب ہی نہیں تھے، بلکہ عربی زبان اور اسلامی علوم کے فاضل بھی تھے اور شعر و ادب کا بڑا ستھرا ذوق رکھتے تھے طب یونانی کے تو ماہر ہی تھے، اور اب لکھنؤ میں اس کی عظمت انہی کے دم سے قائم تھی، طب کی کتابوں کا درس بھی دیتے تھے جن کے پڑھانے والے اب کم رہ گئے ہیں، آداب و اخلاق میں لکھنؤ کی پرانی تہذیب اور وضعداری کا نمونہ تھے، لکھنؤ کے متعدد قومی ملی اداروں کے رکن تھے اور ان کے کاموں میں بڑی دلچسپی سے حصہ لیتے تھے، ندوہ سے خاص تعلق تھا، اور اس کی مجلس منتظمہ کے جلسوں میں بڑی پابندی سے شریک ہوتے تھے، مولانا عبدالباریؒ فرنگی محل کے شاگرد بھی تھے اور مرید بھی، اس تعلق سے ان سے بہت پرانی شناسائی تھی آخر میں تصوف کی طرف زیادہ رجحان ہوگیا تھا، اب طب یونانی کے ماہر اٹھتے جارہے ہیں، طبی درسگاہوں سے طبیب کے بجائے ’’ڈاکٹر‘‘ پیدا ہونے لگے ہیں اور خالص فن طب ختم ہوتا جاتا ہے، مرحوم لکھنؤ میں اس کی آخری یادگار تھے، ان کی موت سے فن طب اور پرانی تہذیب و شرافت کی ایک بڑی یادگار مٹ گئی۔ اﷲ تعالیٰ ان کی مغفرت فرمائے۔ (شاہ معین الدین ندوی،مئی ۱۹۷۱ء)

 

Scientific Study of Balance (Al-Mīzān) in the Light of Sūrah Al-Rahmān

This article is an attempt to elaborate the phenomenon of equilibrium prevailing everywhere in the microcosmic and macrocosmic systems associated with universal stability and rhythm. It has been accentuated what is beautifully illuminated in the beginning verses of Sūrah Al-Rahmān successively regarding balance that invites one’s thought towards the well controlled cosmic system as well as with the concept of balance by means of different manners as identified by exegetes and scholars concerning daily life i.e. From simple and common to that of complex issues and intricacies. Qualitative method has been employed for this research while some aspects have also been handled in accordance with quantitative approach. Article also emphasized the series of cause and effect nexus may be declared as self explanatory episode an indication towards a Supreme Force whose widespread control and interference can’t be denied rationally. Sūrah beautifully pictured the physical and metaphysical sketch of balance having many dimensions from man to universe and vice versa as well as from both towards Ultimate Reality whose dominion is limitless where one has to follow peaceful living and to put oneself aside indulging any disruption from ordinary clash to that of nuclear war to be waged.

Stanley Depth and Sequentially Cohen- Macaulay Lexsegment Ideals

In the first chapter we give some basic definitions from commutative algebra. We give some results obtained in recent years for the Stanley depth of multigraded S-modules, where S = K[x1 , . . . , xn ] is a polynomial ring in n indeteminantes with coefficients in a field K. We also give some results regarding the progress towards the Stanley’s conjecture. In the second chapter, we show that if I ⊂ J be monomial ideals of a polynomial algebra S over a field. Then the Stanley depth of J/I is smaller or equal to the √ √ Stanley depth of J/ I. We give also an upper bound for the Stanley depth of the intersection of two primary monomial ideals Q, Q , which is reached if Q, Q √ √ are irreducible, ht(Q + Q ) is odd and Q, Q have no common variables. These results are proved in my paper [23]. In the third chapter, we give different bounds for the Stanley depth of a monomial ideal I of a polynomial algebra S over a field K. For example we show that the Stanley depth of I is less than or equal to the Stanley depth of any prime ideal associated to S/I. Also we show that the Stanley’s conjecture holds for I and S/I when the associated prime ideals of S/I are generated by disjoint sets of variables. These results are proved in my paper [24]. In the forth chapter, we give an upper bound for the Stanley depth of the edge ideal I of a k-partite complete graph and show that Stanley’s conjecture holds for I. Also we give an upper bound for the Stanley depth of the edge ideal of an s-uniform complete bipartite hypergraph. In this chapter we also give an upper bound for the Stanley depth of the edge ideal of a complete k-partite hypergraph and as an application we give an upper bound for the Stanley depth of a monomial ideal in a polynomial ring S. We give a lower and an upper bound for the cyclic module S/I associated to the complete k-partite hypergraph. These results are proved in our papers [26] and [27]. In the fifth chapter, the associated primes of an arbitrary lexsegment ideal I ⊂ S are determined. As application it is shown that S/I is a pretty clean module, therefore, S/I is sequentially Cohen-Macaulay and satisfies the Stanley’s conjecture. These results are proved in my paper [25].
Asian Research Index Whatsapp Chanel
Asian Research Index Whatsapp Chanel

Join our Whatsapp Channel to get regular updates.