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Invariant Subspaces and Generalizations of Hyponormal Operators

Thesis Info

Author

Hira Iqbal Siddiqi

Supervisor

Tazeen Athar

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

1676720703040

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پڑھائی

پڑھائی خوشی دینے ، گفتگو کے نکھار اور قابلیت کو بڑھانے کے لیے مفید ہے۔ خوشی کے لیے اہم یہ ہے کہ آپ اپنے معمولات کی اچھی منصوبہ بندی کریں ، پھر یہ چاہے آپ کے فرصت کے اوقات کار ہوں، تنہائی ہو ، گفتگو کے نکھار کے لیے اپنی قابلیت کا بہتر استعمال ہو، آپ کو اس سے خوشی میسر آئے گی۔ اس لیے تجربہ کار انسان ہی اس پر عمل کر سکتےہیں اور شاید وہ انفردی معاملات کے بارے میں صحیح رائے رکھتے ہیں۔ لیکن پڑھے لکھے لوگ ہی معاملات کے بارے میں بہتر نصیحت، منصوبہ بندی اور انتظام کرتے ہیں۔ پڑھائی میں بہت زیادہ وقت صرف کرنا کاہلی ہے اور اس کا گفتگو کی سخاوت کے لیے بہت زیادہ استعمال بناوٹ ہے۔ فیصلہ کرنے کے لیے اس کے قوانین پر انحصار کرنا ایک سکالر کا مذاق اڑانا ہے ۔ وہ اس سے باشعور ہوتے ہیں اور تجربے سے ان کے شعور میں شگفتگی آتی ہے۔ فطری قابلیتوں کو پروان چڑھانے کے لیے ضروری کے کہ پودے کی طرح انسان کی بھی کانٹ چھانٹ کی جائے، پڑھائی سے ۔ خود سے پڑھ لینا کافی نہیں، یہ مبہم انداز میں آپ کی رہنمائی کرے گا ماسوائے اس کے کہ وہ تجربہ سے مل کر مفیدثابت ہوتا ہے۔ چالاک لوگ پڑھائی سے نفرت کرتے ہیں، سادہ لوگ اس کی تعریف کرتے ہیں اور عقل مند آدمی اس کا استعمال کرتے ہیں، کیونکہ پڑھائی نہیں سکھاتی کہ اسے کیسے استعمال کرنا ہے۔ لیکن یہ جو عقل ہے، یہ کتابوں میں نہیں ، ان سے بالاتر ہے اور یہ صرف مشاہدہ سے حاصل کی جاسکتی ہے۔ کتابوں کو نقطہ چینی یا رد کرنے کے لیے ، اہمیت دینے یا یقین کرنے کے لیے، اپنی گفتگو یا تقریر کے لیے مواد حاصل کرنے کے لیے نہیں بلکہ سمجھ کے لیے...

مشہور مصادر سیرت كے اسالیب كا علمی جائزہ

Some famous books ofSeerah and Maghazi have been discussed in the given article. The important thing in the distinguished status of these books is the non-availability of their sources (Masadar) . The reasonfor its being unauathoritative is that early writers ofSeerah are mostly Tabaeen and Taba Tabeen. They did not refer to the original source (Masdar) because in those days the events of Seerah were verbally narrated and directly listened. Special gatherings and sittings, regarding Seerah were arranged in Masajids. Only those writers of Seerah have mentioned the sources (Masadar) , who had deep knowledge of Hadith; others have recorded different events ofSeerah in their books, without any scrutiny and investigation. This caused the penetration of certain invalid events in this field, which has been strongly objected by the non-Muslim scholars in their books.

Clinicoepidemiological Obervation and Therapeutic Targeting of Multidrug Staphylococcus Aureus and Pseudomonas Aeruginosa in Burn Patients

The present study describes epidemiology of burns in patients attending tertiary care hospital (TCH) in Faisalabad, Pakistan and role of teicoplanin and meropenem in healing of methicillin resistant Staphylococcus aureus and Pseudomonsas aeruginosa infected burns in rabbits. Both retrospective and prospective 1-year data were collected from 939 patients admitted to a Burn Unit of TCH. The results showed that median age of burn patients was 12-year with highest occurrence noted in pre-school children (≤ 4 years old) and overall incidence of burns was higher in male patients. Scalding was a major cause of burns seen in 50% of children population involving lower body parts of the body. Second-degree burns were more common (>68%) as compare to 3rd degree burns and mostly involved extremities. Above seventy percent of burns patients had 15-30% of total burn surface area (TBSA). Absolute majority of burns was due to unintentional causes, however, intentional reasons (1.5%) were primarily noted in male patients. The fatality rate was 14.5%, which was higher in females as compared to males (12.3%). The incidence burns was highest in winter and lowest in summer and burns correlated to month, degree of burn, cause of burn, TBSA% and outcome. Bacterial isolation rate was 84% in burns with highest prevalence of Pseudomonas aeruginosa followed by Staphylococcus aureus, Klebsiella pneumoniae and Escherichia coli. Male patients were more positive for bacterial cultures than females and similarly rate of isolation was higher in 3rd degree burns. Minimum inhibitory concentration of TPN and MEM were lower for MRSA and P. aeruginosa and healing score of MRSA-infected-burn wounds (in rabbit model) was swift in teicoplanin treated group. In view of certain limitations like lack of record of first aid treatment, cause(s) of death, and failure to include the patients who could not seek medical care in this data, further studies are required to investigate the prognostic factors related to outcomes in burn patients.