S.W.V.B. Carries On
نویسندگان
چکیده
منابع مشابه
Combinatorics of Balanced Carries
We study the combinatorics of addition using balanced digits, deriving an analog of Holte’s “amazing matrix” for carries in usual addition. The eigenvalues of this matrix for base b balanced addition of n numbers are found to be 1, 1/b, · · · , 1/b, and formulas are given for its left and right eigenvectors. It is shown that the left eigenvectors can be identified with hyperoctahedral Foulkes c...
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Article history: Received 1 February 2009 Accepted 11 February 2009 Available online 15 April 2009 MSC: 60C05 60J10 05E05
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متن کاملOn the Number of Carries Occurring in an Addition
In this paper we study the number of carries occurring while performing an addition modulo 2k − 1. For a fixed modular integer t, it is natural to expect the number of carries occurring when adding a random modular integer a to be roughly the Hamming weight of t. Here we are interested in the number of modular integers in Z/(2k − 1)Z producing strictly more than this number of carries when adde...
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ژورنال
عنوان ژورنال: Social Casework
سال: 1949
ISSN: 0037-7678
DOI: 10.1177/104438944903000308