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3-Total Edge Mean Cordial Labeling of Some Classes of Graphs [M. Phil Mathematics]

Thesis Info

Author

Fakhir Aslam

Department

UMT. Department of Mathematics

Program

Mphil

Institute

University of Management and Technology

Institute Type

Private

City

Lahore

Province

Punjab

Country

Pakistan

Thesis Completing Year

2018

Thesis Completion Status

Completed

Page

65 . CD

Subject

Mathematics

Language

English

Other

English; Call No: TP 511.5 FAK-T

Added

2021-02-17 19:49:13

Modified

2023-02-19 12:33:56

ARI ID

1676713994898

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ممتا

ممتا

شاکر انور

سمندرنیلا اور پر سکون تھا اور دمام کا آسمان بادلوں سے پُر۔ میں بیقراری سے دھوپ کے ایک ٹکڑے کی تلاش میں ہاف مون بیچ کے خوبصورت سبز گھانس کے روش پر اِدھراُدھر گھوم رہاتھا۔کاش! کوئی ایسی پر سکون جگہ مل جائے جہاں پر میں اپنے ناول کے خاتمے پر کام کرسکوں۔

دور مغربی ساحل کے ایک گوشے میں کھجور کے درختوں سے چھن چھن کر آتی سورج کی ریشمی چادر سی تنی نظرآئی۔ میں تیزی سے اس جگہ گیا مگر وہاں پر سیاہ عبایا پہنے ایک نوجوان عورت بے بی اسٹرولر پر جھکی ہوئی لیٹے ہوئے بچے کو دھوپ سنکاتی، مسکراتی ہوئی باتیں کررہی تھی۔کبھی کبھی وہ بے ساختہ ہنس دیتی۔ جیسے اس کے بچے نے کوئی معصوم سی شرارت کی ہو، وہ شاید مصری یا لبنانی ہوگی۔ نہایت گوری، گلابی کالی آنکھوں والی۲۳، ۵۳ سالہ دوشیزہ جوسرخ پھولدار رومال سے سر ڈھانپے ہوئی تھی۔ وہ جس جگہ کھڑی تھی وہ میری اوّلین پسند تھی۔ ہاف مون بیچ سے کچھ دوری پر واقع نہایت ہی پراسرار خاموشی سے گھرا کنارا جہاں خوبصورت سناٹا میرے خیالوں کو مہمیز کرتا۔

 اس نے اچانک پلٹ کر میری طرف دیکھا۔ ایک ادھوری سی مسکراہٹ اس کے ہونٹوں پر تھی……مگر شاید وہ مکمل تھی۔ یہ میرا گمان تھا اور پھر اسٹرولر کو دھکے دیتی آگے بڑھ گئی۔ جیسے کہہ رہی ہو۔ آجاؤ، اپنی مخصوص جگہ مسٹر ادیب۔میں نے اکثر شام کے وقت اسٹرولر پر بچے کو گھماتے ہوئے دیکھاتھا۔ وہ ہمیشہ اکیلی ہوتی اور ساحلِ سمندر کے کنارے پر بنے ہوئے ٹریک پر اِدھر اُدھر گھومتی رہتی۔ بے بی اسٹرولر کے دائیں جانب پانی کی چھوٹی سی رنگین بوتل ہوتی اور دوسری جانب چند کھلونے‘ اوپر کا گلابی حصہ نیچے کی طرف جھکا ہوتا۔اسے...

عقد التوريد: تعریفہ، ارکانہ و شروطہ

Man is a social animal and is unable to live isolated from other people and he also depends on other in most of his matters in his daily life. Give and take of buy and sale are the two aspects of human dealings and cooperation. Supply contract is a modern type of contract which was practiced for unknown time but without this title. Huge commodity is need of departmental stores, supper markets and of the dealers of the daily usage materials. This article is about the concept of supply in its literal, Islamic Jurisprudential, legal and commercial sence. Main elements and pronvision have also been mentioned in this article to be aware about the sharia guideline to deal in such contracts according to Islamic norms and teachings.

Genetic Diversity and Phytochemical Investigation on Walnut Juglans Regia L.

Plants on this planet are essential need to support life, its needs of acquired ecosystem yet many of the fears challenges including the conservation, especially their germplasm and same is being feared in case of walnut in Kashmir, Pakistan. Walnut (Juglans regia L.) is the exceptionally widespread nut tree in the world and grow best in northern regions of Pakistan and Azad Jammu and Kashmir. It has wide range of genetic diversity which indicate that interspecific hybrids exist and introgression may occur. Plants on this planet are coupled with continuous challenges and their germplasm conservation is one of the prime priority. We focused to evaluate the genetic characterization of sixty four walnut accessions including their genetic relationship and distance collected from sixteen selected sites of Neelum valley Azad Jammu and Kashmir in Himalayan region of Pakistan by using thirty five primer combinations during SSR analysis. Genetic distance among these accessions were displayed in a dendrogram cluster analysis correlation based and principal component analysis (PCA). We found that six cluster were clearly separating the accessions from each other and distance among accessions confirmed that these accessions were divergent due to geographical diversity, naturalized population, unevenness and interspecific cross pollination. The close relationship among accessions showed these accessions had probably same ancestory. Moreover, fieldwork study revealed that local walnut germplasm are being eroded from some regions due to urbanization, agriculture, grazing, wood harvesting and natural calamities (earth quake and land sliding) that depicted genetic drift. In the actual application, the measurement of genetic diversity among these accessions should be used as important guidelines for the researchers, conservators, plant breeders and regulatory authorities while ensuring that a substantial genetic diversity is preserved within the study area. Medicinal plants have a proven long history for their effective use to prevent and treat diseases. During the recent decades, the modern drug discovery approaches have refocused on traditional medicinal plants because of their higher contribution for providing new drugs, drug candidates, novelty and mechanism insights. Juglans regia is very famous for providing precious and medicinal dry fruits which are extensively being used in many parts of the world. Walnut is a rich and diverse source of natural products, including variety of phenolic and flavonoid natural products. These natural products possess variety of biological properties, especially anti-oxidant and anti-microbial activities. Anti-oxidant reduce free radicals by their lone-pair of electron and decrease the level of free radicals in body. Anti-microbial activities in order to cure ailments, discovery of new drugs is a prime global priority and going back to natural treasure of medicinal plants is one of the best option. Human challenges for the search of new drugs are also burdened with the current status of diseases caused by oxidative stress as well as the limitation of existing antioxidant drugs. Toxic metal contaminations are the critical issue especially in dietary and medicinal plants like J. regia because these metals unwantedly modulate various biological processes which results into various diseases for example, they damage tissue, organ and results into various diseases including cancer, ulcer and neurological disorders. In this study we used four parts of J. regia i.e. fruits, leaves, stem bark and green husk. Metal contamination estimation, using atomic absorption spectroscopy, found that Cd contamination in its fruits, Cu and Mg concentration in all parts of J. regia (fruits, leaves, stem bark and green husk) are critically above the standard permissible limits and thus is a serious health concern. Methanolic extracts of various parts of J. regia were screened for antimicrobial activities against twelve different human pathogens all extracts indicated promising antimicrobial activities in comparison to the standard clinical drugs, ciprofloxacin and nystatin, among all the tested plant parts maximum zone of inhibition were measured in fruits extract (14.33 ± 0.33) against S. aureus, leaves (19.33 ± 0.33) against E. coli , stem bark (16.33 ± 0.57) against B. subtilis and green husk (18.16 ± 0.57) against P. aeruginosa of J. regia extracts Whereas, antioxidant studies on J. regia revealed that its fruits has the highest antioxidant properties with IC50 value of 6.938693 mg/mL. Total phenolic contents were estimated spectrophotometrically with Folin-Ciocalteau reagent and were calculated as gallic acid (GA), (equivalents mg of GA/g of extract which ranged from 12.6987 to 31.9685 mg GA/g). Whereas, total flavonoid contents of J. regia were estimated as rutin equivalents (mg of Rutin/g of extract) and highest flavonoid contents were found in the fruit’s extract which was 25.8231 mg/g and lowest in leaves extract of J. regia 7.2861 mg/g. Cancer is a devastating disease and one of the leading causes of death worldwide despite improvements in patient survival during the past 50 years; new and improved treatments for cancer are therefore actively sought. Breast cancer is the top most prevalent cancer in women worldwide and is responsible for nearly 58 % of all cancer deaths. Our search for anti-cancer medicinal plant Juglans regia fruits, green husk, and leaves showed promising antiproliferative activities in MCF-7 breast cell lines, whereas stem bark showed moderate activity, hightest recorded among all extracts, fruit of J. regia showed highest antiproliferative activity with GI50 1.581722. Advancement in human knowledge at molecular and atomic level initiated researches for the search of individual molecules responsible for specific biological properties. This together with the development in equipment gave birth to molecular medicine in late 19th and early 20th century. Importantly, medicinal plants have been the superlative precursor for the discovery and development of molecular pharmaceuticals. Therefore, we designed and conducted isolation of pure natural products from Juglans regia and elucidate their structures using modern chromatography and spectroscopic techniques as a minor component of this research. We isolated 23 natural products and were able to elucidate the structures of three of them which were found to be known juglone, eugenol and 5-Hydroxy-3, 7, 4-trimethoxyflavone.