Avoiding Three Consecutive Blocks of the Same Size and Same Sum
نویسندگان
چکیده
منابع مشابه
Avoiding two consecutive blocks of same size and same sum over $\mathbb{Z}^2$
We exhibit an algorithm to decide if the fixed-points of a morphism avoid (long) abelian repetitions and we use it to show that long abelian squares are avoidable over the ternary alphabet. This gives a partial answer to one of Mäkelä's questions. Our algorithm can also decide if a morphism avoids additive repetitions or k-abelian repetitions and we use it to show that long 2-abelian square are...
متن کاملConcurrent Sweet’s syndrome and erythema nodosum: two manifestations of the same disease or the same spectrum?
Sweet’s syndrome and erythema nodosum are rarely seen together. Herein, we report a case of concurrent Sweet’s syndrome and erythema nodosum and review previous cases.
متن کاملOn Consecutive Integer Pairs with the Same Sum of Distinct Prime Divisors
We define the arithmetic function P by P (1) = 0, and P (n) = p1 + p2 + · · ·+ pk if n has the unique prime factorization given by n = ∏k i=1 p ai i ; we also define ω(n) = k and ω(1) = 0. We study pairs (n, n+ 1) of consecutive integers such that P (n) = P (n+ 1). We prove that (5, 6), (24, 25), and (49, 50) are the only such pairs (n, n + 1) where {ω(n), ω(n + 1)} = {1, 2}. We also show how t...
متن کاملN-tuples of Positive Integers with the Same Sum and the Same Product
It is proved that for every k there exist k triples of positive integers with the same sum and the same product. In this paper we solve the problem D.16 from the book [1] by proving the following Theorem. For every k there exist infinitely many primitive sets of k triples of positive integers with the same sum and the same product. (A set S of triples is called primitive if the greatest common ...
متن کاملEffective scale-up: avoiding the same old traps
Despite progress in developing more effective training methodologies, training initiatives for health workers continue to experience common pitfalls that have beset the overall success and cost-effectiveness of these programs for decades. These include lack of country-level coordination of health training, inequitable access to training, interrupted services, and failure to reinforce skills and...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of the ACM
سال: 2014
ISSN: 0004-5411,1557-735X
DOI: 10.1145/2590775