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| Katyayana |
KatyayanaKatyayana may refer to:
- Katyayana (Buddhist), a disciple of Gautama Buddha.
- Katyayana (mathematician), an Indian mathematician.
Katyayana (mathematician)Katyayana was probably a priest who lived in India around 200 BC. Like Baudhayana, he composed the Sulba Sutras, or sacred mathematical texts.
His sutras presented much geometry, including the Pythagorean theorem.
See also
- Indian mathematicians
Category:Indian mathematicians
Category:Ancient mathematicians
India
The Republic of India is a country in South Asia which comprises of the majority of the Indian subcontinent. India has a coastline which stretches over seven thousand kilometres, and shares its borders with Pakistan to the west, the People's Republic of China, Nepal, and Bhutan to the northeast, and Bangladesh and Myanmar on the east. On the Indian Ocean, it is adjacent to the island nations of the Maldives on the southwest, Sri Lanka on the south, and Indonesia on the southeast. India also claims a border with Afghanistan to the northwest.
India is the fourth largest economy in the world in terms of purchasing power parity. It is the second most populous country in the world, with a population of over one billion, and is the seventh largest country by geographical area. It is home to some of the most ancient civilizations, and a centre of important historic trade routes. Four major world religions: Hinduism, Buddhism, Jainism and Sikhism have originated from India. Formerly a major part of the British Empire as the British Raj before gaining independence in 1947, during the past twenty years the country has grown significantly, especially in its economic and military spheres, regionally as well as globally.
The name India , is derived from the Old Persian version of Sindhu, the historic local appellation for the river Indus; see Origin of India's name. The Constitution of India and general usage also recognises Bharat ( ), which is derived from the Sanskrit name of an ancient Hindu king, whose story is to be found in the Mahabharata, as an official name of equal status. A third name, Hindustan ( ) , or Land of the Hindus in Persian, has been used since the twelfth century, though its contemporary use is unevenly applied due to domestic disputes over its representiveness as a national signifier.
History
Stone Age rock shelters with paintings at Bhimbetka in Madhya Pradesh are the earliest known traces of human life in India. The first known permanent settlements appeared 9,000 years ago and developed into the Indus Valley Civilisation, which peaked between 2600 BC and 1900 BC. It was followed by the Vedic Civilisation. From around 550 BC onwards, many independent kingdoms came into being. In the north, the Maurya dynasty, which included Ashoka, contributed greatly to India's cultural landscape. From 180 BC, a series of invasions from Central Asia followed, with the successive establishment in the northern Indian Subcontinent of the Indo-Greek, Indo-Scythian and Indo-Parthian kingdoms, and finally the Kushan Empire. From the 3rd century AD onwards the Gupta dynasty oversaw the period referred to as ancient India's "Golden Age".
Gupta dynasty built by emperor Ashoka in the 3rd century BC]]
In the south, several dynasties including the Chalukyas, Cheras, Cholas, Kadambas, Pallavas and Pandyas prevailed during different periods. Science, art, literature, mathematics, astronomy, engineering, religion and philosophy flourished under the patronage of these kings. Following the Islamic invasions in the beginning of the second millennium, much of north and central India came to be ruled by the Delhi Sultanate, and later, much of the entire subcontinent by the Mughal dynasty. Nevertheless, several indigenous kingdoms remained or rose to power, especially in the relatively sheltered south. Vijayanagara Empire was notable among such kingdoms.
During the middle of the second millennium, several European countries, including the Portuguese, Dutch, French and British, who were initially interested in trade with India, took advantage of fractured kingdoms fighting each other to establish colonies in the country. After a failed insurrection in 1857 against the British East India Company, popularly known in India as the First War of Indian Independence and most commonly known in the West as the Indian Mutiny, most of India came under the direct administrative control of the crown of the British Empire.
British Empire, Orissa built in the 13th century, is one of the most famous monuments of stone sculpture in the world.]]
sculpture in the 10th century AD.]]
In the early part of the 20th century, a prolonged and largely non-violent struggle for independence, the Indian independence movement, followed, to be eventually led by Mahatma Gandhi, regarded officially as the Father Of The Nation. The culmination of this path-breaking struggle was reached on 1947-08-15 when India gained full independence from British rule, later becoming a republic on 1950-01-26.
As a multi-ethnic and multi-religious country, India has had its share of sectarian violence and insurgencies in different parts of the country. Nonetheless, it has held itself together as a secular, liberal democracy barring a brief period from 1975 to 1977 during which the then Prime Minister Indira Gandhi declared a "state of emergency" with the suspension of civil rights. India has unresolved border disputes with China, which escalated into a brief war in 1962, and Pakistan which resulted in wars in 1947, 1965, and 1971, and a border altercation in the northern state of Kashmir in 1999. India was a founding member of the Non-Aligned Movement and the United Nations. In 1974, India conducted an underground nuclear test, making it an unofficial member of the "nuclear club", which was followed up with a series of five more tests in 1998. Significant economic reforms beginning in 1991 have transformed India into one of the fastest growing economies in the world and added to its global clout.
Government
The Constitution of India states India to be a sovereign, socialist, secular, democratic republic. India is a federal republic, with a bicameral parliament operating under a Westminster-style parliamentary system. It has a three branch system of governance consisting of the legislature, executive and judiciary.
The President, who is the head of state, has a largely ceremonial role. His roles include interpreting the constitution, signing laws into action, and issuing pardons. He is also the Commander-in-Chief of the armed forces. The President and Vice-President are elected indirectly by an electoral college for five-year terms. The Prime Minister is the head of government and most executive powers are vested in this office. He (or she) is elected by legislators of the political party, or coalition, commanding a parliamentary majority, and serves a five-year term incumbent upon enjoying this majority. The constitution does not provide for a post of Deputy Prime Minister, but this option has been exercised from time to time.
The legislature of India is the bicameral Parliament which consists of the upper house known as the Rajya Sabha, or Council of States, the lower house known as the Lok Sabha, or House of the People, and the President. The 245-member Rajya Sabha is chosen indirectly through an electoral college and has a staggered six year term. The 545-member Lok Sabha is directly elected for a five year term, and is the determinative constituent of political power and government formation. All Indian citizens above the age of eighteen are eligible to vote.
The executive arm consists of the President, Vice-President and the Council of Ministers (the Cabinet) headed by the Prime Minister. Any minister holding a portfolio must be a member of either house of parliament. In India's parliamentary system, the executive is subordinate to the legislature.
India's independent judiciary consists of the Supreme Court, headed by the Chief Justice of India. The Supreme Court has both original jurisdiction over disputes between states and the Centre, and appellate jurisdiction over the High Courts of India. There are eighteen appellate High Courts, having jurisdiction over a large state or a group of states. Each of these states has a tiered system of lower courts. A conflict between the legislature and the judiciary is referred to the President.
Politics
Chief Justice of India
For most of its independent history, India's national government has been controlled by the Indian National Congress Party. Following its position as the largest political organisation in pre-independence India, Congress, usually led by a member of the Nehru-Gandhi family, dominated national politics for over forty years. In 1977, a united opposition, under the banner of the Janata Party, won the election and formed a non-Congress government for a short period after the unpopular 'emergency rule' imposed by Indira Gandhi in the previous Congress regime. In 1996, the Bharatiya Janata Party (BJP), a political party with a right wing nationalist ideology, became the largest single party, and established for the first time a serious opposition to the largely centre-left Congress. But power was held by two successive coalition governments, who stayed on with the support of the Congress. In 1998, the BJP formed the National Democratic Alliance (NDA) along with smaller parties and became the first non-Congress government to sustain the full five year term after it returned to power in 1999. The decade prior to 1999 was marked by short-lasting governments, with seven separate governments formed within that period. One however, a Congress government formed in 1991, lasted the full five years and initiated significant economic reforms.
In the 2004 Indian elections the Congress party returned to power after winning the largest number of seats, by a narrow margin. Congress formed a government in alliance with the Communist Party of India (Marxist) and with several mostly-regional parties called the United Progressive Alliance. The NDA, led by the BJP, currently forms the main opposition. All governments formed since 1996 have required party coalitions, with no single majority party, due to the steady rise of regional parties at the national level.
States and union territories
India is divided into twenty-eight states (which are further subdivided into districts), six Union Territories and the National Capital Territory of Delhi. States have their own elected government, whereas Union Territories are governed by an administrator appointed by the union government, though some have elected governments.
India has had two scientific bases in Antarctica – the Dakshin Gangotri and Maitri, but has made no territorial claims so far.
Geography
Maitri in the north to Arunachal Pradesh in the far east making up most of India's eastern borders]]
India's entire north and northeast states are made up of the Himalayan Range. The rest of northern, central and eastern India consists of the fertile Indo-Gangetic plain. Towards western India, bordering southeast Pakistan, lies the Thar Desert. The southern Indian peninsula is almost entirely composed of the Deccan plateau. The plateau is flanked by two hilly coastal ranges, the Western Ghats and Eastern Ghats.
India is home to several major rivers such as the Ganga (Ganges), the Brahmaputra, the Yamuna, the Godavari, and the Krishna. The rivers are responsible for the fertile plains in northern India which are conducive to farming.
The Indian climate varies from a tropical climate in the south to a more temperate climate in the north. Parts of India which lie in the Himalaya have a tundra climate. India gets most of its rains through the monsoons.
Economy
monsoon
India has an economy ranked as the tenth largest in the world in terms of currency conversion and fourth largest in terms of purchasing power parity. It recorded one of the fastest annual growth rates of 6.9% for the year ending March 2005. India's per-capita income by purchasing power parity is US$ 3,262, ranked 125th by the World Bank. India's foreign exchange reserves amount to over US$ 143 billion. Mumbai serves as the nation's financial capital and is also home to both the headquarters of the Reserve Bank of India and the pre-eminent Bombay Stock Exchange. While a quarter of Indians still live below the poverty line, a large middle class has now emerged along with the rapid growth of the IT industry.
The Indian economy has shed much of its historical dependence on agriculture, which now contributes to less than 25 % of GDP. Other important industries are mining, petroleum, diamond polishing, films, textiles, information technology services, and handicrafts. Most of India's industrial regions are centred around major cities. In recent years, India has emerged as one of the largest players in software and business process outsourcing services, with revenues of US$ 17.2 billion in 2004 to 2005. Many small-scale industries provide steady employment to workers in small towns and villages.
business process outsourcing
While India receives only around three million foreign visitors a year, tourism is still an important but under-developed source of national income. Tourism contributes 5.3 % of India's GDP. The actual employment generation, both direct and indirect, is estimated to be 42 million, or about 10 % of India's work force. In monetary terms, it contributes about US$4 billion in foreign exchange. India's major trading partners are the United States, Japan, China and the United Arab Emirates.
India's main exports items include agricultural products, textile goods, gems and jewellry, software services and technology, engineering goods, chemicals and leather products while its main import commodities are crude oil, machinery, gems, fertiliser, chemicals. For the year 2004, India's total exports stood at US$ 69.18 billion while the imports were worth at US $89.33 billion.
Demographics
India is the second most populous country in the world, with only China having a larger population. By 2030, India is expected to surpass China with the world's largest population, estimated at 1.6 billion. Language, religion, and caste are major determinants of social and political organisation within the highly diverse Indian population today. Its biggest metropolitan agglomerations are Mumbai (formerly Bombay), Delhi, Kolkata (formerly Calcutta) and Chennai (formerly Madras).
Chennai]]
India's literacy rate is 64.8 % with 53.7 % of females and 75.3 % of males being literate. The sex ratio is 933 females for every 1000 males. Work Participation Rate (WPR) (the percentage of workers to total population) stands at 39.1 % with male WPR at 51.7 % and female WPR at 25.6 % inote|eu{inote|demostats{inote|religion{ref|languages{inote|tongues{see2|Christianity in India|Jews in India{seealso3|List of Indian languages by total speakers|List of cities in India|Religion in India{main|Culture of India{seealso4|List of World Heritage sites in India|Indian architecture|Indian family name|Cuisine of India{main|Sports in India{main|Holidays in India{Official Holidays of India{Topics related to India{portal{sisterlinks|India{wikitravel{wikicities|india|India{explain-inote{Web reference | title=India facts and figures | work=Embassy of India| URL= http://www.indianembassy.org/dydemo/indiaprofile/profile.htm | date=August 14 | year=2005{Web reference | title= Forex reserves up by $1bn | work=Economic Times| URL= http://economictimes.indiatimes.com/articleshow/1093864.cms | date=August 14 | year=2005{Web reference | title= India Economy | work=Travel Document Systems |URL= http://www.traveldocs.com/in/economy.htm | date=August 14 | year=2005{Web reference | title= Services | work=India in Business| URL= http://www.indiainbusiness.nic.in/india-profile/ser-infotech.htm | date=August 14 | year=2005{Web reference | title= Destination India: An Unpolished Diamond | work=Times of India | URL= http://timesfoundation.indiatimes.com/articleshow/819309.cms | date=August 14 | year=2005{Web reference | title= US, UAE, UK, China, Japan among India's top trade partners | work=Indian Express| URL= http://www.indianexpress.com/news/business/20050102-0.html | date=August 14 | year=2005{Web reference | title= CIA Factbook : India | work=CIA Factbook | URL= http://www.cia.gov/cia/publications/factbook/geos/in.html | date=August 14 | year=2005{Web reference | title= Provisional Population Totals 2001 Census| work=Census of India| URL=http://www.censusindia.net/results/resultsmain.html | date=August 14 | year=2005{Web reference | title= Debating India & India's literacy rate | work=Debating India | URL= http://india.eu.org/1963.html | date=August 14 | year=2005{Web reference | title= India – Country profiles | work=indexmundi.com | URL= http://www.indexmundi.com/India/ India | date=August 14 | year=2005{Web reference | title= Census of India 2001, Data on Religion | work=Census of India | URL= http://www.censusindia.net/results/religion_main.html | date=August 14 | year=2005{Web reference | title= Languages of India | work=India image | URL= http://indiaimage.nic.in/languages.htm| date=August 14 | year=2005{Book reference | Author=K.M. Matthew | Title=Manorama Yearbook 2003 | Publisher= Malaya Manorama | Year=2003 | ID=ISBN 8190046187{mnb|afgh|1{mnb|LoC|2{South Asia{Asia{Commonwealth of Nations{SAARC{Life in India{Link FA|sv{Link FA|svHad Sahary Youb massacre
The Oued Bouaïcha massacre took place about 150 miles south of Algiers, near Djelfa, on March 26, 1998. 52 people, including 32 children under the age of two, were killed at Oued Bouaïcha in the municipality of Bouiret Lahdab (see [http://www.fallingrain.com/world/AG/0/Bouira_el_Adebad.html map]; near Had Sahary) by about 15 men carrying axes and knives, who also kidnapped 3 young women. On the same day, another 11 were killed on the other side of the country at Youb (see [http://www.fallingrain.com/world/AG/10/Youb.html map]), at a place whose name is variously given as Adda Bensekrane or Bab Essekrane.
External links
- [http://archives.tcm.ie/irishexaminer/1998/03/30/fhead.htm Irish Examiner]
- [http://ospiti.peacelink.it/anb-bia/week_98/980402 ANB-BIA]
- [http://216.239.63.104/search?q=cache:u1T6v6T7QR0J:www.channelafrica.org/news/980328.html+Oued+Bouaicha+massacre&hl=en ChannelAfrica]
Category:1998
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