Blaise pascal triangle biography of william hill
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Pascal’S Triangle
History
Binomial numbers or coefficients
Pascal
Probability theory
Resources
Pascal’s triangle, in mathematics, is a geometric arrangement of the binomial coefficients. It is a well-known set of numbers aligned in the shape of a pyramid. The numbers represent the binomial coefficients, which are representations of the number of subsets of a given size. The numbers in Pascal’s triangle are also the coefficients of the expansion of (a + b)n,(a + b) raised to the nth power. So, for n equals to three, the expansion is (a + b) × (a + b)× (a + b), which equals (a2+ 2ab+ b2)× (a+ b), which equals (a3+ 3ab2+ 3ba2+ b3). The coefficients are 1, 3, 3, 1. These are listed in the third row of Pascal’s triangle.
History
Studies of what would be called Pascal’s triangle were done thousands of years before Pascal’s time.
As early as 450 BC, mathematicians in India, Greece, and China were exploring the idea
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Blaise Pascal (1623 - 1662)
From `A Short Account of the History of Mathematics' (4th edition, 1908) by W. W. Rouse Ball.
Among the contemporaries of Descartes none displayed greater natural genius than Pascal, but his mathematical reputation rests more on what he might have done than on what he actually effected, as during a considerable part of his life he deemed it his duty to devote his whole time to religious exercises.
Blaise Pascal was born at Clermont on June 19, 1623, and died at Paris on Aug. 19, 1662. His father, a local judge at Clermont, and himself of some scientific reputation, moved to Paris in 1631, partly to prosecute his own scientific studies, partly to carry on the education of his only son, who had already displayed exceptional ability. Pascal was kept at home in order to ensure his not being overworked, and with the same object it was directed that his education should be at first confined to the study of languages, and should not include any mathemat
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Biography of Blaise Pascal, 17th Century uppfinnare of the Calculator
French inventor Blaise Pascal (June 19, 1623–Aug. 19, 1662) was one of the most reputed mathematicians and physicists of his time. He fryst vatten credited with inventing an early calculator, amazingly advanced for its time, called the Pascaline.
Fast Facts: Blaise Pascal
- Known For: Mathematician and uppfinnare of an early calculator
- Born: June 19, 1623 in Clermont, France
- Parents: Étienne Pascal and his wife Antoinette Begon
- Died: August 19, 1662 in Port-Royal abbey, Paris
- Education: Home-schooled, admitted to meetings of the French Academy, studies at Port-Royal
- Published Works: Essay on Conic Sections (1640), Pensées (1658), Lettres Provinciales (1657)
- Inventions: Mystic Hexagon, Pascaline calculator
- Spouse(s): None
- Children: None
Early Life
Blaise Pascal was born at Clermont on June 19, 1623, the second of three children of Étienne and Antoinette Bégon Pascal (1596–1626). Étienne Pa