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Fixed Points of Noncommuting Maps

Thesis Info

Author

Salma Sahar

Department

Deptt. of Mathematics, QAU.

Program

Mphil

Institute

Quaid-i-Azam University

Institute Type

Public

City

Islamabad

Province

Islamabad

Country

Pakistan

Thesis Completing Year

1999

Thesis Completion Status

Completed

Page

64

Subject

Mathematics

Language

English

Other

Call No: DISS/M.Phil MAT/315

Added

2021-02-17 19:49:13

Modified

2023-02-19 12:33:56

ARI ID

1676718410371

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ام المومنین حضرت امِ حبیبہؓ

ام المومنین سیدہ ام حبیبہ ؓ
ام المومنین حضرت ام حبیبہ ؓ ، ابو سفیان بن حرب کی بیٹی تھیں ان کی والدہ صفیہ بنت ابو العاس تھی جو حضرت عثمان ؓ کی پھوپھی تھیں ۔ ابو سفیان اور صفیہ سے ایک بیٹی ہوئی جس کا نام رملہ رکھا ۔ ام حبیبہ ؓ عبیداللہ بن جحش کی زوجہ تھیں ان کے ساتھ انہوں نے حبشہ کی طرف ہجرت کی ۔ دوسری ہجرت حبشہ میں بھی دونوں میاں بیوی شریک تھے ۔ حبشہ میں قیام کے دوران ان کے ہاں ایک بیٹی نے جنم لیا جس کا نام باپ نے حبیبہ رکھا ۔ اس کے بعد رملہ کو سب لوگ ام حبیبہ ؓ کے نام سے منسوب کرنے لگے پھر یہی نام بہ زبان زد عام ہو گیا ۔ عبیداللہ بن جحش مرتد ہو گئے اور وہ دین اسلام چھوڑ کر عیسائی بن گئے لیکن سیدہ ام حبیبہ ؓ دین اسلام پر قائم رہیں ۔
ایک شبہ کا ازالہ : ابن حبان نے سیدہ عائشہ ؓ سے یہ روایت بیان کی ہے کہ عبداللہ بن جحشؓ نے ام حبیبہ ؓکے ساتھ حبشہ کو ہجرت کی ، جب وہ حبشہ پہنچے تو عبداللہ بیمار ہوگئے اور وفات پا گئے ۔ جب اس کے انتقال کا وقت آیا تو اس نے رسول اللہ ﷺ کے لیے ایک وصیت چھوڑی ، پس آپ نے وصیت کے پیش نظر ام حبیبہ ؓ سے نکاح کیا اور نجاشی بادشاہ نے سیدہ ؓ کو شرجیل بن حسنہؓ کی معیت میں حبشہ سے مدینہ روانہ کر دیا ۔ ( امہات المو منین ۔۲۶۸) اس روایت میں دو باتیں قابل غور ہیں ۔ اول تو نام ہے جو اس روایت میں عبداللہ آیا ہے حالانکہ صحیح نام عبیداللہ ہے ۔ ابن حبان کو سہو ہوا ہے نیز یہ درست ہے کہ عبداللہ بن جحش...

EMPATHY DAN DESIGN THINKING DALAM INOVASI MANAJEMEN PENDIDIKAN ISLAM DI ERA DISRUPTIF

Abstract the phenomenon of the current disruptive era makes technology develop fast paced. The rapid progress must be matched with the ability of human resources as the executor of the organization. This study aimed to find out the management innovation in Islamic education institution that nowadays becomes a serious concern to face the global competition. The abilities of empathy and design thinking are the skills that need to be had by headmasters in facing the disruptive era. Innovation in Islamic education management is essential to do considering that the success of education goals is seen from how to manage an organization. This study is the result of literary research sourced from indexed scientific journals, books, and news on the internet. The procedures used included three phases, namely organize, synthesize, and identify.  The result of content analysis showed the concept of design thinking as the process to obtain problem solving which is relevant to the education field namely the formulation of new policy and analysis towards a problem by collecting analyses so that it is helpful to obtain right and effective decision making. Abstrak Fenomena era disruptif saat ini menjadikan teknologi berkembang serba cepat. Pesatnya kemajuan harus diimbangi dengan kemampuan SDM sebagai pelaksana organisasi. Penelitian ini bertujuan untuk menggali inovasi manajemen di lembaga pendidikan Islam yang saat ini menjadi perhatian serius untuk menghadapi persaingan global. Kemampuan empati dan design thinking adalah skill yang harus miliki oleh kepala sekolah dalam menghadapi era disruptif. Inovasi dalam manajemen pendidikan Islam penting dilakukan mengingat keberhasilan tujuan pendidikan dilihat dari cara mengelola organisasi. Penelitian ini merupakan hasil riset kepustakaan dengan referensi jurnal ilmiah terindeks, buku dan berita di internet. Prosedur yang digunakan meliputi 3 tahap, yaitu organize, synthesize dan identify.  Hasil analisis isi menunjukkan konsep design thinking sebagai proses menghasilkan problem solving relevan dalam dunia pendidikan khususnya perumusan kebijakan baru dan analisis terhadap suatu permasalahan dengan mengumpulkan analisa-analisa sehingga membantu dalam upaya pengambilan keputusan yang tepat dan efektif.

Biochemical Profiling and Synergistic Potential of Medicinal Plants As Hepatoprotective

The objective of this study was to find out any alternative natural product to address the hepatic problems. Though many medicinal plants have been reported for hepatoprotective potential but still there is a need to explore further their medicinal effect on scientific basis. Hepatoprotective potential of selected medicinal plants (Silybum marianum, Artemisia absinthium and Rheum emodi) in different combinations against paracetamol induced liver damage was studied. The phytochemical constituents of selected medicinal plants in combinations were tested by measuring total phenolic content (276.26 to 356.57 GAE) and total flavonoid content (13.01 to 25.63 CE). The antioxidant activity of selected medicinal plants in combination was evaluated through DPPH (76.81 to 92.33 % inhibition) and reducing power in term of absorbance (0.964 to 1.652). The antioxidant effect of medicinal plants at cellular level was further explored using H2O2 induced DNA damage on pUC19 plasmid DNA. It was found that the protective effect of plants extracts was concentration dependent. The safety of medicinal plants was evaluated through various toxicological assays including hemolytic, brine shrimp lethality and mutagenicity. The cytotoxicity findings showed that the plants are safe and may be used as medicine. Biochemical profiling of selected medicinal plants was performed through liquid chromatography mass spectrometry (LCMS). The hepatotoxin, paracetamol significantly increased the levels of SGPT, SGOT and ALP whereas the levels of protein and albumin were decreased. The combination containing silymarin extracted from S. marianum, aqueous mixture of both A. absinthium and R. emodi were given to experimental animals with different doses. The hepatoprotective effect was evaluated by studying various biochemical parameters (SGPT, SGOT, ALP, Protein and Albumin). The administration of medicinal plants in various combinations altered the biochemical markers and exhibited significant hepatoprotective activity. The experimental animals were slaughtered at the end of study. The levels of antioxidant enzymes, superoxide dismutase, glutathione peroxidase and catalase were decreased in positive control group (paracetamol treated). The levels of antioxidants enzymes in medicinal plants treated groups remained in normal limit as in the control group. Histopathological examination of liver tissues of control and treated animals showed significant difference indicating that the combinations of selected medicinal plants successfully restored the liver functions. Although majority of the combinations restored the liver functions but the most suitable combination was the least quantity i.e. 100 mg of each plant. It is concluded that the medicinal plants in combination used in this study is an effective and promising formulation against paracetamol induced liver damage.