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Longer titles found: A Treatise on the Binomial Theorem (view), Abel's binomial theorem (view)

searching for Binomial theorem 30 found (178 total)

Basic hypergeometric series (2,325 words) [view diff] exact match in snippet view article find links to article

closely related to the q-exponential. Cauchy binomial theorem is a special case of the q-binomial theorem. ∑ n = 0 N y n q n ( n + 1 ) / 2 [ N n ] q =

Octameter (316 words) [view diff] exact match in snippet view article find links to article

mathematical, I understand equations, both the simple and quadratical, About binomial theorem I'm teeming with a lot o' news, With many cheerful facts about the

Minggatu (634 words) [view diff] exact match in snippet view article find links to article

subtraction, multiplication and division, series reversion, and the binomial theorem. Minggatu's work is remarkable in that expansions in series, trigonometric

Wick product (1,045 words) [view diff] no match in snippet view article find links to article

In probability theory, the Wick product, named for Italian physicist Gian-Carlo Wick, is a particular way of defining an adjusted product of a set of random

Corollary (626 words) [view diff] exact match in snippet view article find links to article

the Commens Dictionary of Peirce's Terms. Cut the knot: Sample corollaries of the Pythagorean theorem Geeks for geeks: Corollaries of binomial theorem

Q-Vandermonde identity (859 words) [view diff] exact match in snippet view article find links to article

proofs of the q-Vandermonde identity. The following proof uses the q-binomial theorem. One standard proof of the Chu–Vandermonde identity is to expand the

Q-Pochhammer symbol (2,654 words) [view diff] exact match in snippet view article find links to article

}{\frac {x^{n}}{(q;q)_{n}}},} which are both special cases of the q-binomial theorem: ( a x ; q ) ∞ ( x ; q ) ∞ = ∑ n = 0 ∞ ( a ; q ) n ( q ; q ) n x n

Al-Karaji (1,242 words) [view diff] exact match in snippet view article find links to article

description of Pascal's triangle. He is also presumed to have discovered the binomial theorem. In a now lost work known only from subsequent quotation by al-Samaw'al

Centipede mathematics (371 words) [view diff] exact match in snippet view article find links to article

mathematics’ is new to me, but its practice is surely of great antiquity. The binomial theorem (tear off the leg that says that the exponent has to be a natural number)

Topsyturveydom (2,339 words) [view diff] exact match in snippet view article find links to article

all their fingertips. For, as their nurses dandle them, They crow binomial theorem, With views (it seems absurd to us) On differential calculus. But though

Reuben Burrow (1,595 words) [view diff] case mismatch in snippet view article find links to article

other Oriental literature. He later published Hindoo Knowledge of the Binomial Theorem. He asked for Hastings's encouragement; and other letters and papers

Nil ideal (734 words) [view diff] exact match in snippet view article find links to article

0, and r is any element of R, then (a·r)n = an·r n = 0, and by the binomial theorem, (a+b)m+n = 0. Therefore, the set of all nilpotent elements forms an

Lewis Evans (mathematician) (404 words) [view diff] case mismatch in snippet view article

the following dissertations: ‘An improved Demonstration of Newton's Binomial Theorem on Fluxional Principles’ (vol. xxiv.); ‘Observations of α Polaris for

Dixon's identity (743 words) [view diff] exact match in snippet view article find links to article

sum of the cubes of the coefficients in a certain expansion by the binomial theorem", Messenger of Mathematics, 20: 79–80, JFM 22.0258.01 Dixon, A.C. (1902)

Florimond de Beaune (356 words) [view diff] case mismatch in snippet view article find links to article

of Sherwin's Mathematical Tables: Together with Some Tracts on the Binomial Theorem and Other Subjects Connected with the Doctrine of Logarithms, Francis

Paul Gerber (1,388 words) [view diff] exact match in snippet view article find links to article

}{r\left(1-{\frac {1}{c}}{\frac {dr}{dt}}\right)^{2}}}} Using the binomial theorem to second order it follows: V = μ r [ 1 + 2 c d r d t + 3 c 2 ( d r

James Glenie (929 words) [view diff] case mismatch in snippet view article find links to article

on by Maseres in vol. vi., and ‘A Demonstration of Sir I. Newton's Binomial Theorem,’ vol. v. He contributed articles to Rees's Cyclopædia on Artillery

Alden Partridge (2,471 words) [view diff] case mismatch in snippet view article find links to article

Artillery and Infantry at the Military Academy in 1810 and 1814" "Newton's Binomial Theorem" (1814) "Meteorological Tables" (1810–1814) "A General Plan for the

Timeline of scientific discoveries (10,608 words) [view diff] exact match in snippet view article find links to article

coefficients. It has been suggested that he may have also discovered the binomial theorem in this context. 3rd century BC: Eratosthenes discovers the Sieve of

Lucas–Lehmer primality test (3,518 words) [view diff] case mismatch in snippet view article find links to article

{3}}\\&=6-\sigma ,\end{aligned}}} where the first equality uses the Binomial Theorem in a finite field, which is ( x + y ) M p ≡ x M p + y M p ( mod M p

Gould's sequence (916 words) [view diff] no match in snippet view article find links to article

JSTOR 2324898, MR 1157222. Glaisher, J. W. L. (1899), "On the residue of a binomial-theorem coefficient with respect to a prime modulus", The Quarterly Journal

Bernstein polynomial (4,491 words) [view diff] exact match in snippet view article find links to article

k}x^{k}(1-x)^{n-k}={x(1-x) \over n}.} ("variance") In fact, by the binomial theorem ( 1 + t ) n = ∑ k ( n k ) t k , {\displaystyle (1+t)^{n}=\sum _{k}{n

Hamming weight (3,100 words) [view diff] no match in snippet view article find links to article

p. 33. Glaisher, James Whitbread Lee (1899). "On the residue of a binomial-theorem coefficient with respect to a prime modulus". The Quarterly Journal

Error function (7,328 words) [view diff] exact match in snippet view article find links to article

{\displaystyle Q^{n}(x)} for positive integers n {\displaystyle n} via the binomial theorem, suggesting potential adaptability for powers of erfc ⁡ ( x ) {\displaystyle

Wolstenholme's theorem (1,918 words) [view diff] no match in snippet view article find links to article

Applied Mathematics, 31: 1–35. Glaisher, J.W.L. (1900), "Residues of binomial-theorem coefficients with respect to p3", The Quarterly Journal of Pure and

Q-function (2,964 words) [view diff] exact match in snippet view article find links to article

{\displaystyle Q^{n}(x)} for positive integers n {\displaystyle n} using the binomial theorem, maintaining their simplicity and effectiveness. The inverse Q-function

Pearson's chi-squared test (5,753 words) [view diff] exact match in snippet view article find links to article

_{i=1}^{n}{\frac {O_{i}^{2}}{E_{i}}}-N.} This result is the consequence of the Binomial theorem. The result about the numbers of degrees of freedom is valid when the

Generating function (14,464 words) [view diff] exact match in snippet view article find links to article

{\displaystyle [z^{n}]T(z)=[z^{n-1}]{\frac {1}{n}}(1+z^{2})^{n}} Via the binomial theorem expansion, for even n {\displaystyle n} , the formula returns 0 {\displaystyle

IISER Aptitude Test (423 words) [view diff] case mismatch in snippet view article find links to article

Quadratic Equations Linear Inequalities Permutations and Combinations Binomial Theorem Sequences and Series Straight Lines Conic Sections Three Dimensional

Timeline of gravitational physics and relativity (15,097 words) [view diff] exact match in snippet view article find links to article

parabolic arc of projectiles (the latter using his generalization of the binomial theorem). 1676-9 – Ole Rømer makes the first scientific determination of the