Friday, April 3, 2009



Automobili Lamborghini S.p.A., commonly referred to as Lamborghini, is an Italian manufacturer of sports cars, based in the small Italian village of Sant'Agata Bolognese, near Bologna. The company was founded in 1963 by businessman Ferruccio Lamborghini, who owned a successful tractor factory

Thursday, April 2, 2009

X BOX 360



The Xbox 360 is the second video game console produced by Microsoft, and the successor to the Xbox. The Xbox 360 competes with Sony's PlayStation 3 and Nintendo's Wii as part of the seventh generation of video game consoles.

A prominent feature of the Xbox 360 is its integrated Xbox Live service that allows players to compete online and download content such as arcade games, game demos, trailers, TV shows, and movies. Major features of the console include its Windows Media Center multimedia capabilities, mandatory support of high definition in all games, movie rentals and game downloads from its online marketplace and the ability to watch HD DVD movies with an add-on drive.

The Xbox 360 was officially unveiled on MTV on May 12, 2005, with detailed launch and game information divulged later that month at the Electronic Entertainment Expo (E3). The console sold out completely upon release in all regions except in Japan,[3][4][5] and, as of January 5, 2009, 28 million units have been sold worldwide, according to Microsoft.[1] The Xbox 360 is currently available in three configurations: the "Arcade", the "Pro", and the "Elite" console, each with its own selection of accessories.

PLAY STATION 3




The PlayStation 3 (officially marketed PLAYSTATION 3,[5] commonly abbreviated PS3) is the third home video game console produced by Sony Computer Entertainment, and the successor to the PlayStation 2 as part of the PlayStation series. The PlayStation 3 competes with Microsoft's Xbox 360 and Nintendo's Wii as part of the seventh generation of video game consoles.

A major feature that distinguishes the PlayStation 3 from its predecessors is its unified online gaming service, the PlayStation Network,[6] which contrasts with Sony's former policy of relying on game developers for online play.[7] Other major features of the console include its robust multimedia capabilities,[8] connectivity with the PlayStation Portable,[9] and its use of a high-definition optical disc format, Blu-ray Disc, as its primary storage medium.[10] The PS3 was also the first Blu-ray 2.0-compliant Blu-ray player on the market.[11]

The PlayStation 3 was first released on November 11, 2006 in Japan,[12] November 17, 2006 in North America,[13] and March 23, 2007 in Europe and Oceania.[14][15] Two SKUs were available at launch: a basic model with a 20 GB hard drive (HDD), and a premium model with a 60 GB hard drive and several additional features[16] (the 20 GB model was not released in Europe or Oceania).[17] Since then, several revisions have been made to the console's available models.[

Wednesday, April 1, 2009

BHASKARA



Bhaskara is also known as Bhaskara II or as Bhaskaracharya, this latter name meaning "Bhaskara the Teacher". Since he is known in India as Bhaskaracharya we will refer to him throughout this article by that name. Bhaskaracharya's father was a Brahman named Mahesvara. Mahesvara himself was famed as an astrologer. This happened frequently in Indian society with generations of a family being excellent mathematicians and often acting as teachers to other family members.

Bhaskaracharya became head of the astronomical observatory at Ujjain, the leading mathematical centre in India at that time. Outstanding mathematicians such as Varahamihira and Brahmagupta had worked there and built up a strong school of mathematical astronomy.

In many ways Bhaskaracharya represents the peak of mathematical knowledge in the 12th century. He reached an understanding of the number systems and solving equations which was not to be achieved in Europe for several centuries.

Six works by Bhaskaracharya are known but a seventh work, which is claimed to be by him, is thought by many historians to be a late forgery. The six works are: Lilavati (The Beautiful) which is on mathematics; Bijaganita (Seed Counting or Root Extraction) which is on algebra; the Siddhantasiromani which is in two parts, the first on mathematical astronomy with the second part on the sphere; the Vasanabhasya of Mitaksara which is Bhaskaracharya's own commentary on the Siddhantasiromani ; the Karanakutuhala (Calculation of Astronomical Wonders) or Brahmatulya which is a simplified version of the Siddhantasiromani ; and the Vivarana which is a commentary on the Shishyadhividdhidatantra of Lalla. It is the first three of these works which are the most interesting, certainly from the point of view of mathematics, and we will concentrate on the contents of these.

Given that he was building on the knowledge and understanding of Brahmagupta it is not surprising that Bhaskaracharya understood about zero and negative numbers. However his understanding went further even than that of Brahmagupta. To give some examples before we examine his work in a little more detail we note that he knew that x2 = 9 had two solutions. He also gave the formula



Bhaskaracharya studied Pell's equation px2 + 1 = y2 for p = 8, 11, 32, 61 and 67. When p = 61 he found the solutions x = 226153980, y = 1776319049. When p = 67 he found the solutions x = 5967, y = 48842. He studied many Diophantine problems.

Let us first examine the Lilavati. First it is worth repeating the story told by Fyzi who translated this work into Persian in 1587. We give the story as given by Joseph in [5]:-

Lilavati was the name of Bhaskaracharya's daughter. From casting her horoscope, he discovered that the auspicious time for her wedding would be a particular hour on a certain day. He placed a cup with a small hole at the bottom of the vessel filled with water, arranged so that the cup would sink at the beginning of the propitious hour. When everything was ready and the cup was placed in the vessel, Lilavati suddenly out of curiosity bent over the vessel and a pearl from her dress fell into the cup and blocked the hole in it. The lucky hour passed without the cup sinking. Bhaskaracharya believed that the way to console his dejected daughter, who now would never get married, was to write her a manual of mathematics!

This is a charming story but it is hard to see that there is any evidence for it being true. It is not even certain that Lilavati was Bhaskaracharya's daughter. There is also a theory that Lilavati was Bhaskaracharya's wife. The topics covered in the thirteen chapters of the book are: definitions; arithmetical terms; interest; arithmetical and geometrical progressions; plane geometry; solid geometry; the shadow of the gnomon; the kuttaka; combinations

Monday, March 30, 2009

ARYA BHATTA



Aryabhatta (476-550 A.D.) was born in Patliputra in Magadha, modern Patna in Bihar. Many are of the view that he was born in the south of India especially Kerala and lived in Magadha at the time of the Gupta rulers; time which is known as the golden age of India. There is no evidence that he was born outside Patliputra and traveled to Magadha, the centre of education and learning for his studies where he even set up a coaching centre. His first name "Arya" is hardly a south Indian name while "Bhatt" (or Bhatta) is a typical north Indian name even found today specially among the "Bania" (or trader) community.

Whatever this origin, it cannot be argued that he lived in Patliputra where he wrote his famous treatise the "Aryabhatta-siddhanta" but more famously the "Aryabhatiya", the only work to have survived. It contains mathematical and astronomical theories that have been revealed to be quite accurate in modern mathematics. For instance he wrote that if 4 is added to 100 and then multiplied by 8 then added to 62,000 then divided by 20,000 the answer will be equal to the circumference of a circle of diameter twenty thousand. This calculates to 3.1416 close to the actual value Pi (3.14159). But his greatest contribution has to be zero. His other works include algebra, arithmetic, trigonometry, quadratic equations and the sine table.

albert einstien

ALBERT EINSTIEN




Born in 1879, Albert Einstein is known today for his incredible mathematical ability and… well, his wild hair. But more important than the physical attributes of his cranium, is the fantastic information which it provided. He will probably always be remembered as the greatest mathematical genius of the modern world. Honors he has received for his works include the Nobel Prize, which he was awarded in 1921, the Royal Society Copley Medal, which he was awarded in 1925, he was elected as a Fellow of the Royal Society in 1921, and he became an AMS Gibbs Lecturer in 1934. He also was a very vocal advocate against nuclear weapons, and spoke out for international peace. Fittingly, a letter asking that his name be put on a manifesto urging all nations to give up their nuclear weapons, was the last he wrote before his death in 1955.

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2010 HOST OF COMMON WEALTH GAMES: NEW DELHI, INDIA

Delhi won the right to host the 2010 Games by defeating the Canadian city of Hamilton by 46 votes to 22 at the CGF General Assembly held in Montego Bay in November 2003.

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