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On Generalized Roughness in A, B - Fuzzy Ideals of La-Semigroups

Thesis Info

Author

Aisha Bint E Abdul Wahid

Supervisor

Noor Rehman

Program

Mphil

Institute

Riphah International University

Institute Type

Private

City

Islamabad

Country

Pakistan

Thesis Completing Year

2017

Thesis Completion Status

Completed

Page

47 . : ill. ; 30 cm. +CD

Subject

Mathematics

Language

English

Other

Submitted in fulfillment of requirements for the degree of Master of Philosophy in Mathematics to the Faculty of Basic Sciences and Humanities; Includes bibliographical references; Thesis (M.Phil)--Riphah International University, 2017; English; Call No: 512.27 AIS

Added

2021-02-17 19:49:13

Modified

2023-02-19 12:33:56

ARI ID

1676711288202

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مولانا سید ابوالاعلیٰ مودودی

آہ!مولانا سید ابوالاعلیٰ مودودی
موت وحیات قانون فطرت ہے، جو اس دنیا میں آیاہے اسے ایک دم جانا ضرور ہے، لیکن بعض شخصیتیں ایسی ہوتی ہیں کہ جب وہ اس جہان آب وگل سے رخصت ہوکرعالم آخرت کی طرف پرواز کرتی ہیں توایسا محسوس ہوتاہے کہ قلب و دماغ کی دنیا میں ایک زلزلہ ساآگیاہے اورخرمن ہوش وحواس پربجلی گرپڑتی ہے، اس زلزلہ اورصاعقہ فگنی کااحساس مقید اور محدود نہیں ہوتا بلکہ عالمگیر ہوتاہے اور اس کی شدت اورکرب مشرق ومغرب اورشمال وجنوب میں یکساں محسوس ہوتا ہے، یہی وہ شخصیتیں ہوتی ہیں جن کی وفات پرنطق ربانی کے لفظوں میں زمین وآسمان روتے ہیں اوران کی موت عربی کے اس شعر کامصداق ہوتی ہے:
وماکان قیس ھلکہ ھلک واحد
ولکنہ بنیان قوم تھدما
اس میں کوئی شبہ نہیں ہوسکتا کہ مولانا سید ابوالاعلیٰ مودودی کی وفات ایسی ہی ایک شخصیت کی وفات ہے۔
اب سے ساٹھ اکسٹھ برس پہلے کون کہہ سکتا تھا کہ جس سبزہ آغاز نوجوان نے اپنے والد ماجد کی ناگہانی وفات کے باعث معاشی ضرورت سے مجبور ہوکر اور اپنی تعلیم کوادھورا چھوڑ کر تاج(جبل پور)اورمسلم والجمعیت(دہلی)کی ایڈیٹری کو قبول کیا تھا، وہ ایک روزعالم اسلام کے افق پر آفتاب بن کرچمکنے اور ملت بیضا کی ایک نامور و عظیم تر شخصیت بننے والاہے لیکن موخرٔ الذکر اخبار کی ایڈیٹری (از۱۹۲۵ء تا۱۹۲۸ء)کے زمانہ میں ہی بعض مضامین اور خصوصاً ’’الجہاد فی الاسلام‘‘جواس نوجوان ایڈیٹر کے قلم سے نکلے وہ زبان و بیان اورحقائق و مطالب کے اعتبار سے اس درجہ موثر اورجاذب توجہ تھے کہ غیر منقسم ہندوستان کے ارباب فکر ونظر کی زبان بیساختہ نواسنج تحسین وآفریں ہوگئی اور دوراندیش نگاہوں نے تاڑ لیا کہ جرنلزم کے آسمان پرجو آج ہلال نوبن کر نمودار ہواہے وہ کل علم وتحقیق کے افق پرماہ کامل کی صورت میں جلوہ گر ہوگا۔
جیسا کہ...

مسلم دورِحکمرانی ميں تعليمات نبویﷺ سے اخذ شدہ سراغ رسانی کے رہنما اصول

Intelligence system is considered to be one of the important tools used by military and civil secret agencies to defend and strengthen a nation. Intelligence system is thought to be one of the oldest studies of known history. Intelligence system consists of correct and accurate information, gathered after great struggle and facing difficulties. This department if related to both peace and war. Intelligence is a basis of formulating all military strategies and plans. The importance of intelligence system both in day to day life and as a nation cannot be overemphasized. This article recounts the intelligence systems and management of the resources of secret services of the companions of the Holy Prophet (SAW) and, thereafter, the Muslims rulers. Furthermore, the principles derived from the era of the companions of the Holy Prophet (SAW) regarding intelligence system have also been discussed in this chapter. The guiding principles that are still valid even today includes: (a) Training of Personnel Since espionage helps to strengthen the roots of a state and protect it from its enemies, therefore it requires a team of well trained professionals with latest technology and trends. Islam emphasized on two aspects of early warning, one is professional and the other is ethical.(b) Counter Espionage. An Islamic state must have an effective network of espionage to keep an eye on all the activities of the enemy. This is known as counter espionage. (c) Reconnaissance. This aims at the fore knowledge of the intentions of the enemy so that one can have a better planning in case of an attack. (d) Verification of Information. Information from an agent should be verified from other sources. An operative may feed false information due to lack of experience and competency and that may create an embarrassing situation. (e) Security of Information. Don’t share your secret, try to protect them. If national secrets are compromised they may cause an extensive damage to national interest. (f) Interrogation of POW. Whenever enemy spies or soldiers are arrested in a war they should be interrogated for extraction of information. They may be subjected to mental stress. (g) Fore Warning of the Enemy. This requires the launching of own agents in the enemy ranks for knowledge of their future plan likes attacks. (h)Treatment of Spies. If anyone is found to be guilty of spying for enemy, he may be penalized with death punishment.

Removal of Atrazine from Aqueous Solution Using Advanced Oxidation Techniques

The degradation of atrazine, a widely used herbicide, a known endocrine disrupting agent, carcinogenic and persistent, in aqueous solution was investigated by various advanced oxidation and reduction technologies. The radiolytic degradation of atrazine has been observed to be an efficient technology for removal of atrazine from water. A detailed kinetic study was performed with respect to G-value, % degradation, observed dose constant (k), and quantum efficiency under various experimental conditions. Hydrogen peroxide, iso-propanol, tert-butanol, nitrate, nitrite, sulfate, carbonate, bicarbonate and bromide ions as well as chloroform have shown inhibitory impact on % degradation of atrazine. The relative contributions of aqueous electron, hydroxyl radical and hydrogen radical towards atrazine degradation were determined as ratio of k for these reactive species and were found as 5: 3 : 1 for ke‒aq: k•OH: kH•. The quantum efficiency ratios of e‒aq, •OH and H• for the degradation of atrazine was calculated as 2: 1: 1. The degradation efficiency was higher under extreme pH conditions (high or low) and lower under neutral conditions. The G-values were observed to decrease with increase in accumulated absorbed dose under all tested experimental conditions. Taking the relative contributions of oxidative and reductive radical species to atrazine degradation into account, reductive pathway proved to be a better approach for the radiolytic treatment of waste-water contaminated with atrazine. In addition to radiolytic degradation, the degradation of atrazine was investigated by 253.7 nm UV irradiation alone or in combination with hydrogen peroxide, peroxymonosulfate (PMS, HSO5−) or persulfate (PS, S2O82−) with an enhanced removal efficiency observed using photochemical processes. UV/PS was found to be the more efficient process than UV/PMS and UV/H2O2 with pseudo-first-order rate constant (kobs) of 6.70 × 10‒3 cm2 mJ‒1 at 4.64 μM atrazine and 92.80 μM PS initial concentrations. The pH showed no significant effect on direct photolysis of atrazine, with kobs of 7.59 × 10‒4, 7.73 × 10‒4 and 6.72 × 10‒4 cm2 mJ‒1 at pH 3.0, 5.7 and 11.0, respectively. UV/H2O2 and UV/PMS performances were independent of pH. However, UV/PS was affected by pH when it was changed from 5.3 to 7.4. The second order rate constant for reaction of atrazine with sulfate radicals was determined as 2.6 × 109 M‒1 s‒1 whereas that for hydroxyl radicals was obtained as 2.3 × 109 M‒1 s‒1. The quantum yield and molar absorption co-efficient at 253.7 nm were determined to be 0.045 mol einstein‒1 and 3504 M‒1 cm‒1, respectively. Product analysis for these reactions was carried out using GC-MS and HPLC/MS/MS and several new degradation by-products of atrazine were identified. A possible degradation mechanism is proposed based on the identified degradation by- products. Due to the presence of various organic and inorganic species in natural water samples, lower removal efficiency of atrazine by UV/H2O2, UV/PMS and UV/PS in real water was observed. The additions of various additives and radical scavengers to aqueous atrazine solution showed a decrease in the removal efficiency of atrazine by UV/PS. The degradation of atrazine was also examined by photo-Fenton and photo-Fenton- like advanced oxidation technologies (AOTs): UV/H2O2/Fe2+, UV/S2O82−/Fe2+ and UV/HSO5−/Fe2+. The study was carried out at two pH value conditions, i.e., pH 3.0 and pH 5.8. At pH 3.0, UV/HSO5−/Fe2+ was found to be the most efficient technology whereas UV/S2O82−/Fe2+ was observed to be the most effective at pH 5.8. The degradation of atrazine followed pseudo-first-order reaction with the highest observed rate constant of 2.00 × 10−2 cm2 mJ‒1 in UV/HSO5−/Fe2+ system at the initial concentrations of 4.64 μM atrazine, 46.4 μM HSO5− and 35.81 μM Fe2+. The UV fluence required for the complete removal of 4.64 μM atrazine at initially 92.80 μM of oxidant and 8.95 μM of Fe2+ concentrations at pH 3.0 was found to be 480, 720 and 960 mJ cm−2 in UV/HSO5−/Fe2+, UV/S2O82−/Fe2+ and UV/H2O2/Fe2+ systems, respectively. Humic and fulvic acids were found to negatively impact the degradation of atrazine. The removal of TOC was not significant unless a high UV fluence was applied. At an initial concentration of 18.56 μM atrazine, 1856.00 μM oxidant and 17.91 μM Fe2+, a 62.94 %, 47.10 % and 44.09 % decrease in TOC was achieved at a UV fluence of 6000 mJ cm−2 in UV/PS/Fe2+, UV/PMS/Fe2+ and UV/H2O2/Fe2+ systems, respectively. Nevertheless, it is suggested in this study that photo-Fenton and photo-Fenton-like technologies are capable of removing atrazine from water efficiently. Besides, Cobalt ions were found to more efficiently activate the PMS and greatly enhanced the degradation of atrazine by UV/PMS/Co2+ but silver ions were observed to decrease the removal rate of atrazine by UV/PS/Ag+ system. The electrical energy per order (EE/O) was calculated for various applied AOTs as an important Figure-of-Merit to explore the potential applications feasibility of the studied systems. Among the studied UV-assisted AOTs, UV/PS was suggested as an effective and economically favorable process for water remediation concerning toxic organic compounds such as pesticides. The degradation of atrazine exhibited second-order kinetics by Fenton reagent. The low activation energy of atrazine, i.e., 23.72 kJ mol ̅1, through Fenton oxidation suggested the easier removal of atrazine from water through this process. This study also reports the preparation of P-doped (P-TiO2), F-doped (F-TiO2) and PF-codoped anatase TiO2 (PF-TiO2) nanoparticles via a conventional sol-gel method. UV-vis diffuse reflectance results showed that doping with phosphorous and fluorine simultaneously could efficiently increase the absorption of TiO2 in visible light region. The BET surface area of 211.96, 174.98, 88.76 and 79.67 m2 g‒1 were obtained for PF- TiO2, P-TiO2, F-TiO2 and reference TiO2 nanoparticles, respectively. The smallest crystal size, highest surface area and absorption in UV-visible region are responsible for the highest photocatalytic activity of PF-TiO2 nanoparticles for atrazine degradation under UV-visible light irradiation. The degradation of atrazine for PF-TiO2, P-TiO2, F-TiO2 and reference TiO2 nanoparticles after 6 h UV-visible light irradiation was 80.9, 71.0, 48.3 and 31.3%, respectively. Therefore, these modified photocatalysts could be considered as potential photocatalysts sources in wastewater treatment. Keywords: Atrazine; Gamma Ray Irradiation; UV radiation; Advanced Oxidation Technologies (AOTs); Photocatalysis; Doping; Degradation Mechanism; Water treatment.