A Treatise on the Binomial Theorem information

A Treatise on the Binomial Theorem is a fictional work of mathematics by the young Professor James Moriarty, the criminal mastermind and archenemy of the...

elementary algebra, the binomial theorem (or binomial expansion) describes the algebraic expansion of powers of a binomial. According to the theorem, it is possible...

scripture. The four novels of the canon: A Study in Scarlet (1887) The Sign of the Four (1890) The Hound of the Baskervilles (1901–1902) The Valley of...

importance of a general binomial theorem. The argument supporting the claim that Khayyam had a general binomial theorem is based on his ability to extract...

from a speech given by Holmes, a consulting detective, to his friend and chronicler Watson on the nature of his work, in which he describes the story's...

128 of 200 on the BBC's The Big Read poll of the UK's "best-loved novel". In 1999, a poll of "Sherlockians" ranked it as the best of the four Holmes...

Morstan, arrived in London, on leave from his post as a convict guard in the Andaman Islands. He requested her to meet him at the Langham Hotel, but was not...

about generalisations of the binomial theorem, and earned a reputation as a genius by writing articles that confounded the best extant mathematicians...

The Valley of Fear is the fourth and final Sherlock Holmes novel by British writer Arthur Conan Doyle. It is loosely based on the Molly Maguires and Pinkerton...

started a school of algebra which flourished for several hundreds of years". He also discovered the binomial theorem for integer exponents, which "was a major...

Indian mathematicians History of the binomial theorem List of Indian mathematicians Amulya Kumar Bag, 'Binomial theorem in ancient India', Indian J. Hist...

expanding the applicability of the binomial theorem by applying the algebra of finite quantities in an analysis of infinite series. He showed a willingness...

particular the binomial theorem) are avoided. Case of acute angle γ, where a > 2b cos γ. Drop the perpendicular from A onto a = BC, creating a line segment...

number theory treatise, is published in Latin. 1825 — Peter Gustav Lejeune Dirichlet and Adrien-Marie Legendre prove Fermat's Last Theorem for n = 5. 1832...

geometry the generalized Stokes theorem (sometimes with apostrophe as Stokes' theorem or Stokes's theorem), also called the Stokes–Cartan theorem, is a statement...

In physics and mathematics, the Helmholtz decomposition theorem or the fundamental theorem of vector calculus states that any sufficiently smooth, rapidly...

{n}{k}}.} Like the binomial distribution that involves binomial coefficients, there is a negative binomial distribution in which the multiset coefficients...

probability theory describing such behaviour are the law of large numbers and the central limit theorem. As a mathematical foundation for statistics, probability...

theory. 1920 – The central limit theorem in its modern form was formally stated. 1921 – John Maynard Keynes' Treatise on Probability defends a logical interpretation...

function whose derivative is the given function; in this case, they are also called indefinite integrals. The fundamental theorem of calculus relates definite...

solid geometry, binomial theorem, and complex algebraic formulas, early forms of trigonometry were not as widely appreciated as in the earlier Greek, Hellenistic...

appendices by Hudde and Heuraet, 1665 - Isaac Newton discovers the generalized binomial theorem and develops his version of infinitesimal calculus, 1667 -...

noteworthy binomial theorem into the multinomial theorem. The Royal Society became apprised of this method in 1697, and it elected de Moivre a Fellow on 30 November...

as the p-adic valuation of the factorial. Applying Legendre's formula to the product formula for binomial coefficients produces Kummer's theorem, a similar...

appears in a book written by Al-Karaji around 1000 AD, who used it to prove the binomial theorem, Pascal's triangle, and the sum of integral cubes. The historian...