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Home > Perinormality - A Generalization of a Krull domain

Perinormality - A Generalization of a Krull domain

Thesis Info

Author

Anam Rani

Supervisor

Tiberiu Dumitrescu

Department

Abdus Salam School of Mathematical Sciences

Program

Mphil

Institute

Government College University

City

Lahore

Province

Punjab

Country

Pakistan

Thesis Completing Year

2012

Language

English

Other

04-GCU-MPHIL-Assms-12

Added

2021-02-17 19:49:13

Modified

2023-02-19 12:33:56

ARI ID

1676729498386

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ٹامس میرس

ٹامس میرس

            ماہ گذشتہ میں ایک شخص مسمٰی ٹامس میرس نے امریکہ میں وفات پائی، جس کی بابت خیال ہے کہ وہ دنیا کا معمر ترین شخص تھا، وفات کے وقت اس کی عمر ۱۲۶ سال کی تھی، اس کے گھر میں انجیل کا ایک نسخہ تھا، جس پر اس کی تاریخ ولادت ۱۵؍ جنوری ۱۷۹۴؁ء درج تھی، اس کا مولد نارتھ ویلز (انگلستان) تھا، اس کو نپولین کے زمانہ کی لڑائیاں خصوصاً جنگ واٹرلو بطور چشم دید واقعات کے اچھی طرح یاد تھیں، پچاس برس سے اس کی سکونت امریکہ میں تھی، اس کی عمر ۲۶ سال کی تھی جب اس کی معشوقہ کا انتقال ہوگیا، اس وقت سے وہ برابر عورت کی صحبت سے محترز رہا۔

(اگست ۱۹۲۰ء)

اجتہاد کی شرعی حیثیت اور عصر حاضر ميں اجتہاد کی عملی صورتیں

Ijtihad is an invaluable secondary source of the Muslim jurisprudence. In Islamic law, ijtihad refers to the independent interpretation of problems not precisely covered by the sacred scripture of Islam, Qur’an, and Prophetic traditions. The savants who undertake ijtihad must be firmly rooted in knowledge and savvy what the demands of the contemporary era are. Since new challenges call for innovative solutions, the faithful cannot genuinely live by Islam without their jurists deriving the laws of sharia from its sources.

Structural, Morphological and Mechanical Properties of Laser Irradiated Bio-Materials

Calcium Hydrogen Phosphate biomaterials were prepared by solid state sintering method. Pellets were dried in vacuum to remove the water molecules using oven for 4 hours at 120°C. The dried pellets were sintered attemperature 450 °C and 750 °C using muffle furnace Vulcan A-550 for varying time periods6,12,18, and 24 hours to get the gamma and beta phases, respectively. Nd: Yag laser used as an irradiation source for biomaterials. The analysis of samples (morphological and structural) was carried out before and after laser irradiation using X-Ray diffractometer and SEM. Before using Nd: YAG laser irradiation, a slight shift in 2θ values of XRD. It was observed that peaks become sharper as the biomaterials are irradiated. Major variations were not investigated in the XRD parameter of the materials investigated after laser exposure. The homogeneity and crystallinity of the pellets was observed before laser irradiation. After exposing the sample by laser, a slight change in the peak intensity was investigated. Before the SEM heating, the surface of the sample was smooth, grains were compact and size of grains was very large. As a result of sintering, the physical appearance of the pellets changed. Micro-cracks due to thermal shocks at 450 and 750 °C were observed. Compactness of the material and crytalline growth also disturbed badly. Densification of the material is greatly affected due to temperature variations. These effects results to formation of columnar structures. After laser effect on porosity of the materials due to minor changes in the surface volume was observed. The absence of pore is beneficial which causes an increase in mechanical strength of biomaterial and structural fractures. The prepared Ca2P2O7 samples at 450 and 750 °C carried out in the range of 500–4000 cm-1. FTIR of the prepared samples before and after laser showed formation of peaks at 720 –1211 cm-1, which is attributed to the presence of P-O-P linkage stretching mode in Ca2P2O7. After the use of laser, FTIR gives some peaks with lower intensity. The EDX analysis was carried out to confirm the elemental composition of the sample after laser. Mechanical properties of the prepared and sintered samples at 450°C and 750 °C for 6, 12, 18, and 24 hours before laser shows low values of compressive strength, and results shows no fracture strength, The compressive strength of the biomaterial improved from0.03–0.24MPa with the increase in temperature. However, the laser exposure of the material becomes mechanically weak and its compressive strength decreases from 0.19 – 0.059 MPa.