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Hesitant Fuzzy Fixed Point Therems in Metric Spaces

Thesis Info

Author

Muhammad Athar Ayub

Supervisor

Akbar Azam

Department

Department of Mathematics

Program

RMT

Institute

COMSATS University Islamabad

Institute Type

Public

City

Islamabad

Province

Islamabad

Country

Pakistan

Thesis Completing Year

2017

Thesis Completion Status

Completed

Subject

Mathematics

Language

English

Added

2021-02-17 19:49:13

Modified

2023-01-06 19:20:37

ARI ID

1676720694554

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۳۹۔ آتم کتھا

آتم کتھا

وہ مجھ سے اس وقت بچھڑا تھا

جب آنکھوں کے سیپ خوابوں کے موتیوں کوترستے تھے

جب جسم و جاںپر رنگِ بہار نہیں چڑھا تھا

جب روح احساسِ کرب سے نا آشنا تھی

زندگی کی حقیقت کا ادراک نہیں تھا

کوئی دوست تھا نہ دشمن

اب میرے پاس سب کچھ ہے

یادیں ،محرومیاں ،اذیتیں

کیسے انمول کھلونے ہیں

مگر افسوس بے فکری کی دولت چھن گئی

Issues of Ethnic Diversity and Just Development in Pakistan with a Special Focus on the Seraiki Ethnic Group

Ethnicity implies the sense of belonging together as the cultural group in a given society. It is a complex combination of racial, cultural and historical characteristics by which people differentiate themselves from other groups. This research envisages the genesis and the evolution of ethnicity as a political concept, the problems of ethnicity in a heterogeneous, multicultural state and the phenomenon of ethno-nationalism in its historical and analytical perspective in the federation of Pakistan with special reference to the status of Seraiki ethnic group. In fact ethnic expressions exist in all multicultural states and distinct ethnic groups evaluate themselves through communal prism. The less privileged groups develop abhorrence against the over – privileged groups due to the persistence of socioeconomic injustices. Factors like the gap between core and periphery, asymmetrical modernization and authoritarian trends lead towards ethnic disruption. Same is the case with Pakistan, a multilingual, multiracial and multiethnic state with federating units reflecting various diversities. The analysis of ethno-nationalism in Pakistan highlights factors, like regional cultural identity, relative deprivation among regions, centralized state structure, denial of accepting regional language as national language, and the absence of democratic values as being the root causes of the Bengali separatism. The assimilationist policies of the government do not acknowledge the regional/ethnic aspirations. Denial of pluralistic approach has been thwarting the demand for provincial autonomy. The nature of ethnic consciousness in the Seraiki belt, analyzed in this article, is found to be nurtured by the perceived socio-economic injustice at intra-provincial level—between the regions of South Punjab and Central and Northern Punjab put together

Uterine Fibroid Embolization for Symptomatic Fibroids; Correlation of Mid-Term Changes in Disease-Specific Symptoms and Magnetic Resonance Imaging Results at a Teaching Hospital in Kenya

Background: Uterine fibroid embolization, though a widely available option in high income countries in managing symptomatic fibroids is relatively new in the East African region. It is currently offered at only one tertiary facility for the past three years. The symptom and radiological response in these patients, who literature suggests may have bigger fibroid burden and worse symptoms, is the subject of this study. Objective: Characterization of MRI imaging features in women undergoing uterine fibroid embolization and identification of clinical correlates in an African population. Methods: Patients with symptomatic fibroids who are selected to undergo UFE at the hospital formed the study population. The baseline MRI features, baseline symptom score, short term imaging outcome and mid-term symptom scores were analysed for interval changes. Assessment of potential associations between short term imaging features and the mid-term symptom scores were also done. Results: UFE resulted in statistically significant reductions (P< 0.001) of dominant fibroid and uterine volumes and in symptom severity scores of 43.7%, 40.1% and 37.8% respectively. Strong enhancement at baseline was a strong predictor of response to UFE.59% of respondents had more than ten fibroids. The predominant location of the dominant fibroid was intramural. No statistically significant association was found between clinical and radiological outcome. Discussion: UFE is a new treatment option for treatment of uterine fibroids in Kenya. This study was aimed at assessing outcomes to this treatment option compared to other parts of the world. The response of uterine fibroids to embolization in the African population is good but not different from findings reported in other studies in the West. The presence of multiple and large fibroids seen here is consistent with the case mix described in studies of African-American populations. No significant association is seen between radiological and clinical outcomes to UFE. Conclusion: UFE treatment for fibroids has good outcome. Further studies lasting beyond one year are indicated for further detailed outcome in the local African population. Recommendations: Patient counselling should emphasise the independence of volume reduction and symptom improvement. Volume changes are of relevance for the Radiologist in aiding understanding of the evolution of the condition and identifying potential technical treatment failures but should not be the main basis of evaluation of treatment success.