Coimbatore, also spelt as Koyamputhur, koːjambʊt̪ːuːɾ, sometimes shortened as Kovai (koːʋaj), is one of the major metropolitan cities in the Indian state of Tamil Nadu. It is located on the banks of the Noyyal River and surrounded by the Western Ghats. Coimbatore is the second largest city in Tamil Nadu after Chennai in terms of population and the 16th largest urban agglomeration in India as per the census 2011. It is administered by the Coimbatore Municipal Corporation and is the administrative capital of Coimbatore District. In 1981, Coimbatore formed as the third municipal corporation in Tamil Nadu after Chennai and Madurai. Podanur Junction is the oldest railway station in Coimbatore City. The city is one of the largest exporters of jewellery, wet grinders, poultry and auto components; the "Coimbatore Wet Grinder" and the "Kovai Cora Cotton" are recognised as Geographical Indications by the Government of India. Being a hub of textile industry in South India, the city is sometimes referred to as the "Manchester of South India". It was ranked the 7th best city in India in the Ease of Living index 2020.
The region around Coimbatore was ruled by the Cheras during the Sangam period between the 1st and the 4th centuries CE and it served as the eastern entrance to the Palakkad Gap, the principal trade route between the west coast and Tamil Nadu. Coimbatore was located along the ancient trade route Rajakesari Peruvazhi that extended from Muziris to Arikamedu in South India. The medieval Cholas conquered the Kongu Nadu in the 10th century CE. The region was ruled by Vijayanagara Empire in the 15th century followed by the Nayaks who introduced the Palayakkarar system under which Kongu Nadu region was divided into 24 Palayams. In the later part of the 18th century, the Coimbatore region came under the Kingdom of Mysore and following the defeat of Tipu Sultan in the Anglo-Mysore Wars, the British East India Company annexed Coimbatore to the Madras Presidency in 1799.
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Covers exercises on ladder operators, Lorentz invariance, Noether charges, and custodial symmetry in quantum field theory.
South India, also known as Peninsular India, consists of the peninsular southern part of India. It encompasses the Indian states of Andhra Pradesh, Karnataka, Kerala, Tamil Nadu, and Telangana, as well as the union territories of the Andaman and Nicobar Islands, Lakshadweep and Puducherry, comprising 19.31% of India's area () and 20% of India's population. Covering the southern part of the peninsular Deccan Plateau, South India is bounded by the Bay of Bengal in the east, the Arabian Sea in the west and the Indian Ocean in the south.
Ooty (), officially known as Udhagamandalam (also known as Ootacamund (); abbreviated as Udhagai), is a town and a municipality in the Nilgiris district of the South Indian state of Tamil Nadu. It is located north west of Coimbatore, 100 km (65 mi) north west of Tirupur, south of Mysore and is the headquarters of the Nilgiris district. It is a popular hill station located in the Nilgiri Hills. It is popularly called the "Queen of Hill Stations". It was the summer capital of the Madras Presidency.
Kerala (ˈkɛrələ ; ke:ɾɐɭɐm) is a state on the Malabar Coast of India. It was formed on 1 November 1956, following the passage of the States Reorganisation Act, by combining Malayalam-speaking regions of the erstwhile regions of Cochin, Malabar, South Canara, and Travancore. Spread over , Kerala is the 21st largest Indian state by area. It is bordered by Karnataka to the north and northeast, Tamil Nadu to the east and south, and the Lakshadweep Sea to the west.