The Origin of Newton's Generalized Binomial Theorem
نویسندگان
چکیده
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In [9], the author introduced a digital version of this theorem where the exponents appearing in (1) are viewed as sums of digits. To illustrate this, consider the binomial theorem for N = 2: (x + y) = xy + xy + xy + xy. (2) It is easy to verify that (2) is equivalent to (x+ y) = xy + xy + xy + xy, (3) where s(k) denotes the sum of digits of k expressed in binary. For example, s(3) = s(1 · 2 + ...
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ژورنال
عنوان ژورنال: Journal for History of Mathematics
سال: 2014
ISSN: 1226-931X
DOI: 10.14477/jhm.2014.27.2.127