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Construction of Fuzzy Subgroups of Some Periodic Groups

Thesis Info

Author

Aalia Rafique

Supervisor

Umer Shuaib

Program

Mphil

Institute

Riphah International University

Institute Type

Private

Campus Location

Faisalabad Campus

City

Faisalabad

Province

Punjab

Country

Pakistan

Thesis Completing Year

2018

Thesis Completion Status

Completed

Page

i, 47 . : ill. ; 30 cm.

Subject

Mathematics

Language

English

Other

Submitted in fulfillment of the requirements for the degree of M.Phil in Mathematics to the Faculty of Basic Science.; Includes bibliographical references; Thesis (M.Phil)--Riphah International University, 2018; English; Call No: 510 AAL

Added

2021-02-17 19:49:13

Modified

2023-02-19 12:33:56

ARI ID

1676711192196

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ام المومنین حضرت ام سلمیٰ

ام المومنین حضرت ام سلمیٰ ؓ
ہند بنت ابی امیہ سہیل بن المغیر ہ بن عبداللہ بن عمر بن مخزوم کے شوہر نے ہجرت مدینہ کی ، تو ہند ان کے ( شوہر ابو سلمہٰ) ہمراہ نہ تھے ۔
کیونکہ ام سلمہؓ کے میکہ والے مزاحم ہوئے اور انہوں نے اسے روک لیا ،ام سلمہ ؓ اپنے گھر واپس آئیں تو ان کے شوہر ابو سلمہ ؓ کے گھر والوں نے اس سے بچہ چھین لیا ، جس کا نام سلمہ تھا ۔وہ اپنے بچہ سے بچھڑ گئیں ۔ وہ روزانہ گھر سے نکل پڑتی اور ابطع میں بیٹھ کر رویا کرتی تھی ۔ سات آٹھ دن بعد ابطع سے ان کے خاندان کا ایک شخص نکلا ۔ اس نے ام سلمہ کوروتے دیکھا تو اس کا دل جذبہ ترحم سے بھر آیا ۔ گھر آکر لوگوں کو جمع کر کے کہا کہ اس پر ظلم کیوں کرتے ہو ؟ اسے جانے دو : اور ساتھ ہی اسے بچہ دے دو ۔ لوگوں نے بات مان لی اور بچہ ام سلمہ ؓ کے سپرد کر دیا اور مدینہ جانے کی بھی اجازت دے دی ۔ وہ تنہا سفر کر رہی تھی ۔ تنعیم کے مقام پر کلید بردار کعبہ عثمان بن طلحہ جو ابھی مشرف بہ اسلام نہیں ہوئے تھے ، انہوں نے سیدہ سلمہ ؓ سے پوچھا ، کہاں کا ارادہ ہے ؟ انہوں نے کہا ۔مدینہ ۔ انہوں نے پوچھا : کوئی ساتھ ہے ؟ آپ نے فرمایا ’’ خدا اور یہ بچہ ‘‘ ۔انہوں نے اونٹ پر سوار کر لیا اور خود مہار پکڑ لی ۔ جب قباء کی آبادی پر نظر پڑی تو عثمان نے کہا ’’ اب تم اپنے شوہر کے پاس چلی جائو، وہ یہیں قیام پذیر ہیں ‘‘ ۔ سیدہ سلمہ ؓ قباء کو اور عثمان مکہ کو روانہ...

Awareness and Utilisation of Primary Healthcare to Reduce Emergency Department Overcrowding in Saudi Arabia

Background Patients seeking emergency department (ED) care for non-acute conditions are a major contributor to ED overcrowding, which results in longer wait times. Method This was a cross-sectional study, conducted using an online survey among the Saudi population to assess their awareness about primary healthcare clinics (PHCCs) and urgent care clinics (UCCs), their role, and their scope of practice. Results A total of 565 participants were included in this study. Most of the respondents (81.1%) reported lengthy waiting times in the ED. Moreover, most (81.6%) stated that they had never visited a family doctor, yet they (92.6%) favoured having one for follow-up care. Close to half of the participants (50.3%) reported attending PHCCs without an appointment, and the majority of them (69.2%) said that PHCCs were overcrowded. Finally, most participants (92.4%) had not heard aboutUCCs. Conclusion ED overcrowding and prolonged waiting times remain a public concern. PHCCs and UCCs are underutilised, and this is attributed to the lack of awareness about their scope and their services.  

Working Collaboratively With Teacher to Develop an Understanding About Linking School Mathematics and its Use in Children’S Daily Lives Experiences at Local Government School

This small-scale action research project explores the possibilities and challenges involved in facilitating a Mathematics Teacher in understanding the notion and practice of linking mathematics with students' real lives in their classroom contexts. The effort is based on the rationale that mathematics needs to be linked with real life in order to maximize the attainment of set curricular goals and objectives. However, the assumption is that in most cases the curricular goals and objectives are not satisfactorily met due to the teachers: a) limited access and understanding of curricular goals and objectives, and b) limited knowledge and expertise in effective implementation of the linking mathematics with students real lives. In this background, the project sees, linking mathematics with real life, as one of the important ways in assuring the attainment of goals and objectives of linking mathematics with students' real life experiences. To realize this aim, the action researcher worked with one secondary level secondary level mathematics teacher in a government school of Karachi, Pakistan. In this regard, the project studies the teachers existing perceptions and practice of linking mathematics with students' real lives. Subsequently, a strategic action plan was prepared and implemented to facilitate a teacher's understanding and practice of linking mathematics with real life. Subsequent planning and action remained responsive to any need for change arising out of the experiences of implementing the previous one. The data for the action process was collected through semi-structured interviews, lesson observations notes, the researcher's reflective journal and tape recordings. The gathered data was analyzed soon after each action step for reflection and further action. The study reports some possible strategies to facilitate a teacher in gaining an understanding about the notion of linking mathematics with real life. These are: 1) Using "input/training" session about "definition and theory" of linking mathematics with real life. 2) Sharing strategies for content, pedagogical and organizational linkage (i.e. mathematics with real life). For example, adding supplementary reading materials from sources other than the prescribed textbooks. At the same time and vein, the study also reports the challenges faced in the process; such as: time availability for action and its research and overemphasis on the theoretical input. The report concludes by presenting key learnings experienced as a teacher educator and an action researcher, and suggests a focus for further action research.