21. In 1665, he discovered the generalised binomial theorem and began to develop a mathematical theory that later became infinitesimal calculus. 22. This proof uses neither the Euclidean algorithm nor the binomial theorem , but rather it employs formal power series with rational coefficients. 23. :Did you check out the article on the binomial theorem, in particular the section labelled " Newton's generalized binomial theorem "? 24. :Did you check out the article on the binomial theorem , in particular the section labelled " Newton's generalized binomial theorem "? 25. In mathematics, any of the positive integers that occurs as a coefficient in the binomial theorem is a "'binomial coefficient " '. 26. :: : If I have a chance, I'll see if I can dig up a good elementary discussion of the binomial theorem . 27. He used this to extend results for the binomial theorem up to n = 12 and Pascal's triangle previously given by al-Karaji. 28. An interesting consequence of the binomial theorem is obtained by setting both variables " x " and " y " equal to one. 29. Yang worked on magic squares, magic circles and the binomial theorem , and is best known for his contribution of presenting Yang Hui's Triangle. 30. Abk Bakr ibn Mu % ammad ibn al $ usayn Al-Karaji ( c . 953-1029 ) wrote on the binomial theorem and Pascal's triangle.
