Results 1 to 10 of about 2,374,282 (104)
Finding binary words with a given number of subsequences [PDF]
\.Zak R., Finding binary words with a given number of
subsequences, Theoretical Computer Science 919 (2022), pp. 75-79, 2022 We relate binary words with a given number of subsequences to continued fractions of rational numbers with a given denominator. We deduce that there are binary strings of length $O(\log n \log \log n)$ with exactly $n$ subsequences; this can be improved to $O(\log n)$ under assumption of Zaremba's conjecture.
arxiv +1 more source
A VLT/FLAMES survey for massive binaries in Westerlund 1: VIII. Binary Systems and Orbital Parameters [PDF]
A&A 660, A89 (2022), 2021 The galactic cluster Westerlund 1 contains a rich population of evolved, massive stars, and a high binary fraction has been inferred from previous multiwavelength observations. We use multi-epoch spectroscopy of a large sample of early-type stars to identify new binaries and binary candidates in the cluster.
arxiv +1 more source
Detectablity of Black Hole Binaries with Gaia: Dependence on Binary Evolution Models [PDF]
, 2021 Astrometric satellite Gaia is expected to observe non-interacting black hole (BH) binaries with luminous companions (LCs) (hereafter BH-LC binaries), a different population from BH X-ray binaries previously discovered. The detectability of BH-LC binaries with Gaia might be dependent on binary evolution models.
arxiv +1 more source
A Reduced Forward Collatz Algorithm: How Binary Strings Change Their Length Under 3x+1 [PDF]
arXiv, 2023 We developed an algorithm that easily goes from one odd number to the next odd number in binary representation for the reduced forward Collatz map (Syracuse function). The algorithm indicates when an odd number can grow or shrink to the next odd number based on the pattern of binary digits.
arxiv
Variable binaries and variables in binaries in the Binary Star Database BDB [PDF]
, 2018 The BDB, Binary star DataBase http://bdb.inasan.ru combines data of the catalogues of binary and multiple stars of all observational types. There is a number of ways for variable stars to form or to be a part of binary or multiple systems. We describe how such stars are represented in the database.
arxiv +1 more source
Enhancing Binary Images of Non-Binary LDPC Codes [PDF]
, 2011 We investigate the reasons behind the superior performance of belief propagation decoding of non-binary LDPC codes over their binary images when the transmission occurs over the binary erasure channel. We show that although decoding over the binary image has lower complexity, it has worse performance owing to its larger number of stopping sets relative
arxiv +1 more source
Binary theta functions and Borcherds products [PDF]
arXiv, 2022 We obtain infinite product expansions in the sense of Borcherds for theta functions associated with certain positive-definite binary quadratic and binary hermitian forms. Among other things, we show that every weight 1 binary theta function is a Borcherds product. In particular, binary theta functions have zeros only at quadratic irrationalities.
arxiv
Massive close binaries II [PDF]
, 2003 In the present review we summarize direct and indirect evidence that the massive close binary frequency is very large. We then discuss the binary evolutionary processes and we present a general massive close binary evolutionary scheme. Finally, we highlight the importance of massive close binaries for population number synthesis and the chemical ...
arxiv +1 more source
Waring's problem in the natural numbers with binary expansions of a special type [PDF]
arXiv, 2012 Let $\mathbb{N}_0$ be a class of natural numbers whose binary expansions contain even numbers of ones. Waring problem in numbers of class $\mathbb{N}_0$ is solved.
arxiv
Goldbach's Problem in Primes with Binary Expansions of a Special Form [PDF]
arXiv, 2012 Let $\mathbb{N}_0$ be a class of natural numbers whose binary expansions contain even numbers of ones. Goldbach's problem in numbers of class $\mathbb{N}_0$ is solved.
arxiv