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Independent Chaotic Code Based Multiple Access

Thesis Info

Author

Anjum Muhammad Irfan

Department

Deptt. of Electronics, QAU.

Program

Mphil

Institute

Quaid-i-Azam University

Institute Type

Public

City

Islamabad

Province

Islamabad

Country

Pakistan

Thesis Completing Year

2011

Thesis Completion Status

Completed

Page

vii, 34

Subject

Electronics

Language

English

Other

Call No: DISS/M.Phil. ELE/166

Added

2021-02-17 19:49:13

Modified

2023-02-19 12:33:56

ARI ID

1676715384578

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راما نجم

مسٹر رامانجم

            اس وقت دنیا کا سب سے بڑا ریاضی دان ایک ہندوستانی تھا، مسٹر رامانجم کی بابت، جس کے کمالات ریاضیہ کا ذکر آج سے ٹھیک ایک سال قبل معارف میں آچکا ہے، بعض علماء فن کا خیال تھا کہ نیوٹن کے بعد سے دنیا میں اس دماغ کا ریاضی دان نہیں پیدا ہوا ہے اور اس کا تو سب کو اعتراف تھا کہ انھوں نے بعض وہ مسائل حل کردیئے جو پوری ایک صدی سے لاینحل چلے آرہے تھے، سخت افسوس ہے کہ ماہ گذشتہ میں اسی ہستی نے دق میں مبتلا ہوکر دنیا کو اپنے فیض سے ہمیشہ کے لئے محروم کردیا، مرحوم کا سن کل ۳۲ سال کا تھا۔

خوش درخشید ولے دولت مستعجمل بود

(جون ۱۹۲۰ء)

مدراس کے نامور ریاضی دان رامانجم کی خبر وفات کسی پچھلے معارف میں درج ہوچکی ہے، یورپ کے اعلیٰ علمی رسائل مدت تک ان کے ماتم میں سوگوار رہے، اور متعدد ماہرین فن کے قلم نے اس حادثہ عظیم پر علم و فن کی جانب سے فریضۂ تعزیت ادا کیا، کیمبرج یونیورسٹی کے مشہور پروفیسر جی،ایچ، ہارڈی نے سائنٹفک ہفتہ وار نیچر میں جو تعزیت نامہ شائع کیا ہے، اس میں بار بار اس قسم کے فقرہ ملتے ہیں۔ ’’یہ بالکل یقینی ہے کہ مرحوم کی مہندسانہ فضیلت اعلیٰ ترین پایہ کی تھی اور وہ ایک استشنائی قوت فکر و اجتہاد کا شخص تھا‘‘۔ اس کے تقریباً بیس مقالات شائع ہوئے، جنھوں نے زمانۂ جنگ ہی میں تمام دنیائے ریاضیات کو اپنی جانب متوجہ کرلیا‘‘۔ اس کے پیش نظر صرف وہ مسائل تھے، جن تک معدددے چند افراد کی رسائی ہوسکتی ہے‘‘۔ اس کی قوت استنباط بالکل حیرت انگیز تھی، جس کی کوئی نظیر کسی یوروپین ریاضی دان میں...

اسلام میں سد ذرائع کی اہمیت

The Islamic laws prevent us from the evil deeds. As well as, according to Shariah, it is permissible and sometimes even compulsory to save the believers from the actions that may lead them towards the banned activities. Therefore, the ruling of prohibition from these types of activities is called Sadd-e-Zaree’a. This is the principle extracted from the Quran and Sunnah. As Almighty Allah forbade the believers to say ‘Ra’ina’ because this word was used by Jews knowingly in a wrong manner with evil intentions, whereas, Muslims presented their requests by this same word in the highest court of The Holy Prophet (peace and blessings be upon him) for seeking easiness and relaxation in their concerned matters. As in Quran: O People who Believe, do not say (to the Prophet Mohammed- peace and blessings be upon him), " Ra’ina (Be considerate towards us)" but say, " Unzurna (Look mercifully upon us)", and listen attentively in the first place. [Baqarah 2: 104]. (To disrespect the Holy Prophet – peace and blessings be upon him – is blasphemy.) Another example by Hadith, in this regard, it is also evidenced by the good character of The Holy Prophet (peace and blessings be upon him) that sometimes He stopped himself intentionally from the permissible activities lest the common masses may involve in undesired activities on the basis of The Holy Prophet’s act. Concisely, keen consideration is required on rational basis when explaining the Shariah rulings of any matter. Otherwise, the beauty andbenefits of the Shariah may be lost. Consequently, to prevent from the future turmoil is actually the spirit of Sadd-e-Zaree’ah. As this is the actually basic need and prerequisite of Shariah. It saves and prevents its believers form expected turmoil. Therefore, if the risk of turmoil would trigger with committing the permissible activity it must be abandoned due to the risk of turmoil.

Phytosociological and Ethnobotanical Profile of Subtropical Vegetation of Darazinda, Frontier Region, Dera Ismail Khan, Pakistan

Phytosociological and Ethnobotanical Profile of Subtropical Vegetation of Darazinda, Frontier Region, Dera Ismail Khan, Pakistan This study was conducted i n o r d e r to assess the ecological resources of Darazinda F. R. Dera Ismail Khan during 2013- 2014 in various seasons. The floristic diversity showed presence of 213 species belonging to 68 families in which 46 species were monocotyledons and 163 species were Dicotyledons. Based on number of species, Poaceae (37Spp), Asteraceae (19Spp), Solanaceae (12 Spp), Brassicaceae (10Spp) and Papilionaceae (9 Spp) were the leading families. Life spectrum showed that therophytes were dominant followed by hemicryptophytes. Leaf size spectrum showed nanophylls and Leptophylls were dominant. Cuscuta reflexa and Cistinche tubelosa were the two parasitic plants in the area. Phenological study showed that March was the highest flowering season as 24% of the plants blossomed. High fruiting was recorded in the month of April and June. Dominancy of vegetative phase was dominant in March followed by December and February. July and November were the two dormant seasons observed in the investigated area. The first dormant period extended from July to December with 62 Spp. (29.1%) while second dormant period was observed in October with 55 species (28.8%) in which the temperature slowly decreased facilitating leaf fall. Vegetation structure of the area showed 20 plant communities in five habitats during different seasons. Qualitative analysis showed that 116 species were present throughout the year, in which 7 were trees, 17 shrubs and 92 were herbs. During autumn season 71 species were present, while, 73 species were present during winter, 87 species during spring and 68 species in summer. Similarity index between autumn and winter was 62.3%, spring-autumn 54.5%, spring-winter 79.1%, summer-autumn 53.8%, summer-winter 72.8%, summer-spring was 60.3%. Different communities like Achyranthus biclentata-Tamarix aphylla–Tamarix dioica, Salvadora oleoidesPeriploca aphylla-Withania coagulans, Calotropis procera-Rhazya stricta-Capparis spinosa etc were recorded. Cluster analysis showed 4 associations among 20 communities. Edaphology Of five sights (Bargholi, Pasta, Anghar ghara, Sin ghar and Sur ghar) showed the soil was mostly clay loam, with occasional gravel sandy soil having pH 7.3, EC between 0.37-0.89. Palatability study indicated that 52 plants (24.4%) were non-palatable, 105 (49.2%) palatable, 23 (10.7%) highly palatable, 6 (2.8%) moderate palatable, 14 (6.5%) low palatable while 13 (6%) were rarely palatable. Live stock preference showed that cow preferred 47 (22%), goat 96 (45%), sheep 92 (43.2%) and camel 34 (16%). For palatability condition of plants showed that fresh plants were 100 (47%), dry form 24 (11.2%) and both fresh and dry form were 36 (17%) while the plants parts used by the grazing animals showed that whole plant were 89 spp. (42%), leaf of 64 (30%) and inflorescence of 3spp. (1.4%) were used by grazing animals. Eight palatable species were analyzed for macro and micro minerals in three phenological stages i-e Pre-reproductive, reproductive and post reproductive stages which showed that Ca, Al, P, N, S, Na, K, Mg were macro and Fe, Si, Cu and Cl were micro minerals. Nutritional analysis showed that moisture, ash contents, crude protein, crude fiber, crude fat and carbohydrate contents were non-significant at three phenological stages of herbs and woody species. Ethnobotanically 198 plant species were used for different purposes, like agriculture applications (2%), fodder (65%), fuel (15%), making furniture (4%), fruit yielding (6%), medicinal(55%), timber (5%), vegetables (13%) and fencing plants (4%). Conservation assessment revealed that 49 plant species (31.4%) were vulnerable, 49 species (31.4%) endangered, 33 (21.1%) species were rare and 25 species (16%) were infrequent due to excessive collection, over grazing and other human influences.