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Order Duals of Topological Ordered Linear Spaces

Thesis Info

Author

Rahat Saeed Tariq

Department

Department of Mathematics, UET

Institute

University of Engineering and Technology

Institute Type

Public

Campus Location

UET Main Campus

City

Lahore

Province

Punjab

Country

Pakistan

Thesis Completing Year

2004

Thesis Completion Status

Completed

Page

v, 78 . ; diagrs. 28 cm.

Subject

Mathematics

Language

English

Other

Hard cover; Call No: 515.73 R 12 O

Added

2021-02-17 19:49:13

Modified

2023-01-06 19:20:37

ARI ID

1676712349231

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اصغر سودائی

اصغر سودائی
اصغر سودائی(۱۹۲۶ئ۔۲۰۰۷ئ) سیالکوٹ کے متوسط گھرانے میں پیدا ہوئے۔آپ نے مرے کالج سیالکوٹ سے بی ۔اے کیا ۔طالب علمی کے دوران آپ’’ مرے کالج میگزین‘‘ کے نائب مدیر تھے۔ ۱۹۵۲ء میں جناح اسلامیہ کالج سیالکوٹ میں بطور لیکچرار تعینات ہوئے ۔۱۹۸۴ء میں انھیں ان کی تعلیمی خدمات کے پیشِ نظر ڈائریکٹر آف ایجوکیشن کے عہدے پر ترقی دی گئی۔ آپ کی شہرت اس لحاظ سے بھی ہے کہ آپ تحریک پاکستان کی اساس بننے والے نعرہ پاکستان ،’’پاکستان کا مطلب کیا لاالہ الا اللہ ‘‘ کے خالق بھی ہیں۔ (۷۱۴)اصغر سودائی کا پہلا شعری مجموعہ ’’شہ دوسرا‘‘ بزم رومی و اقبال سیالکوٹ نے ۱۹۸۹ء میں طبع کیا۔ دوسرا مجموعہ کلام ’’چلن صبا کی طرح‘‘ صدیقی پبلی کیشنز لاہور نے ۱۹۹۹ء میں شائع کیا۔ آپؐ کا تیسرا شعری مجموعہ’’ کرن صدا کی طر ح ‘‘کے نام سے شائع ہو چکا ہے۔ اصغر سودائی کے نظریات ا ن کی اکہتر سالہ زندگی کا نچوڑ ہیں۔ انھوں نے مختلف تحاریک کازمانہ دیکھا اصغر نے تحریکِ پاکستان کی پرزور جدوجہد کو پروان چڑھتے اور پاکستان کو وجود میں آتے دیکھا۔ ادبی تحاریک میں انھوں نے رومانی اور ترقی پسند تحریک کا زمانہ دیکھا۔
ان کے نظریات میں اقبال کے افکار کی جھلک بھی دکھائی دیتی ہے۔ وہ بھی مغرب کی غلامی کو ملتِ اسلامیہ کے لیے باعث ِہلاکت و تباہی قرا ر دیتے ہیں۔ اصغر کے خیال میں اسلام دین فطرت ہے اور اس میں تمام مروجہ علوم کا نچوڑ موجود ہے۔ وہ اسلا م ہی کو انسانی زندگی کی بنیاد سمجھتے ہیں اور اسلام کی صداقتوں او ربین الاقوامیت کے قائل ہیں۔
اصغر سودائی بنیادی طور پر غزل گو شاعر ہیں۔قیام پاکستان کے بعد جن شعرانے میر کے رنگ سخن کی پیروی کی ان میںناصر کاظمی ،خلیل الرحمان اعظمی اور شہرت بخاری شامل ہیں۔ان شعر امیں اصغر سودائی...

Laws of Inheritance in Islam and Hinduism: A Comparative Study

Laws of inheritance and succession exist since time immemorial in every human society. The estate of the deceased person is distributed amongst his/her legal heirs according to the laws of inheritance. Based on religions i.e. Islam and Hinduism-two different societies exist in the Indo-Pak sub-continent, having different frames of rules regarding socio-religious life. Coupled with a long history of closeness and co-existence, have deep religio-moral and socio-cultural diffusions and infusions with one another. The same impact permeates the laws of inheritance as well. This paper is an analysis of this permeation by focusing on the points of comparison and contrast in the light of the Holy Qur’ān, Sunn’ah and the sacred books of Hindūism.  

Ethnomedicinal and Phytosociological Studies of Jinjerate Koh, Drosh, District Chitral

An ethnomedicinal survey was carried out during 2013-2016 to collect information about medicinal plants of Jinjerate Koh Valley Drosh. A total of 76 plants belonged to 40 families were reported from area which was used for the cure of various ailments. In my survey leaves were the major plant part 35% used in the preparation of recipes, followed by seed 18%, stem 14%, whole plant 8%, root 4%, inflorescence 3%, bark, gum and bulb each 2%, tuber and floral bud each 1%. Herb plants were used mostly 54%, followed by tree 24% and shrub 22%. The angiosperm plants were used mostly 91% for the cure of ailments, followed by gymnosperm 5%, pteridophytes 3% and fungi 1%. More than 52 types of diseases were reported from research areas which are cured by medicinal plants. Some plants were reported from area which is used for more than one type of disease. Phytosociological Dynamics of the plants present in Jinjerate Koh, Drosh were studied an elevation gradient between 1314-2154m. The area was divided in to 10 stands. 10 relevés were taken in each stain randomly for shrubs and tree. In each relevés of shrubs and tree, sub relevés were also taken for herbs. The information about the plants and soil were stored in TURBOVEG software. Five plants communities were established based on modified TWINSPAN software automated classification. These communities are Cedrus-Pinus-Sorbaria community, Acer-Elaeagnus-Olea community, Ailanthus-Quercus-Salix community, Elaeagnus-Quercus-Salix community and Elaeagnus-Olea-Quercus community. Diagnostic species constant species and dominant species were assigned on the basis of fidelity threshold value, 35 (5) frequency threshold value 35 (45), and cover threshold value 35: 0 (100). The ecological characteristics of Cedrus-Pinus-Sorbaria community show that the dominant life was therophytes and Megaphanerophyte (25%). In leaf size mesophyll (38%) was dominant followed by Nanophyll (31%) Deciduous were dominant (77%) and 85% plants were non spiny nature, Xeric plants were present 77% environment. Mostly plants were heliophytes (85%). simple leaves plants were dominant. The Dominant life form Elaeagnus-Olea-Quercus community was therophytes and mesophanerophyte (25%), dominant classes of leaf size were mesophyll (42%) and Microphyll 33%) Mostly the plants of Elaeagnus-Olea-Quercus, community were Deciduous (75%). Mostly plants were non spiny nature (83%). Plants mostly present in xeric environment (83%). All plants of this community were heliophytes and contain simple leaves. In Ailanthus-Quercus-Salix community the dominant life form was therophytes (34%) followed by hemicriptophyte (27%), size wise class of leaf the nanopyllus type was dominant (42%), followed by mesophyll (42%) and Microphyll (11%) Most plants of Ailanthus-Quercus-Salix community were deciduous (92%), only (8%) ever green. Non spiny nature plants were dominant (96%), and (4%) were spiny nature. Habitat wise (85%) plants were xeric, (11%) mesic and (4%) were moist. Mostly plants of Ailanthu-Quercus-Salix, community were heliophytes (92%) and (8%) were sociophyte. Plants of Ailanthus-Quercus-Salix community mainly contain simple leaves (81%), compound leaves were present in (11%) plants only, and (8%) were incised. Elaeagnus-Quercus-Salix community therophytes were the dominant plants (29%) followed by hemicryptophytes (23%). The mesophyll type was dominant (32%) followed by Leptophyll and Microphyll (26%). Mostly plants were Deciduous (89%) only (11%) ever green plants were present in Elaeagnus-Quercus-Salix community. Non spiny nature plants were dominant (84%), and (16%) were spiny nature. Habitat wise, (84%) plants were xeric, (11%) mesic and (5%) were aquatic. All plants were heliophytes. Plants of Elaeagnus-Quercus-Salix community mainly contain simple leaves (90%) compound leaves were present in (5%) plants and only (5%) were incised. In the Elaeagnus-Olea-Quercus community the dominant life form were therophytes (38%) followed by hemicriptophyte (14%). The nanophyll type was dominant (29%) followed by mesophyll (28%) and leptophyll (19%). Mostly plants of Elaeagnus-Olea-Quercus community were Deciduous (90%) only (10%) ever green. non spiny nature plants were dominant (86%), and (14%) were spiny nature. Habitat wise (81%) plants of Elaeagnus-Olea-Quercus community were xeric, (11%) mesic (9%), aquatic and moist were (5%). Mostly plants of Elaeagnus-Olea-Quercus community were heliophytes (95%) while Sciophyte were (5%). Plants of Elaeagnus-Olea-Quercus community mainly contain simple leaves (71%) compound leaves were present in (19%) plants and only (10%) were incised. Minerals analysis of the soil samples showed that soil contain low concentration of Cu, Fe and Zn as compared to Mn. While Ca was the most dominant nutrient in the soil followed by Mg. Soil of the area is very poor in nutrient and less fertile.