Results 1 to 10 of about 2,228,479 (146)
The number of binary rotation words [PDF]
We consider binary rotation words generated by partitions of the unit circle to two intervals and give a precise formula for the number of such words of length n. We also give the precise asymptotics for it, which happens to be O(n^4). The result continues the line initiated by the formula for the number of all Sturmian words obtained by Lipatov in ...
Frid, Anna E., Jamet, Damien
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The Asymptotic Number of Binary Codes and Binary Matroids [PDF]
12 ...
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On the number of lambda terms with prescribed size of their De Bruijn representation [PDF]
John Tromp introduced the so-called 'binary lambda calculus' as a way to encode lambda terms in terms of binary words. Later, Grygiel and Lescanne conjectured that the number of binary lambda terms with $m$ free indices and of size $n$ (encoded as binary
Gittenberger, Bernhard +1 more
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Generalised divisor sums of binary forms over number fields [PDF]
Estimating averages of Dirichlet convolutions $1 \ast \chi$, for some real Dirichlet character $\chi$ of fixed modulus, over the sparse set of values of binary forms defined over $\mathbb{Z}$ has been the focus of extensive investigations in recent years,
Frei, Christopher, Sofos, Efthymios
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The asymptotic induced matching number of hypergraphs: balanced binary strings [PDF]
We compute the asymptotic induced matching number of the $k$-partite $k$-uniform hypergraphs whose edges are the $k$-bit strings of Hamming weight $k/2$, for any large enough even number $k$.
Arunachalam, Srinivasan +2 more
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Binary Representation of Natural Numbers [PDF]
Summary Binary representation of integers [5], [3] and arithmetic operations on them have already been introduced in Mizar Mathematical Library [8, 7, 6, 4]. However, these articles formalize the notion of integers as mapped into a certain length tuple of boolean values.
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The critical number of dense triangle-free binary matroids
We show that, for each real number $\epsilon > 0$ there is an integer $c$ such that, if $M$ is a simple triangle-free binary matroid with $|M| \ge (\tfrac{1}{4} + \epsilon) 2^{r(M)}$, then $M$ has critical number at most $c$.
Geelen, Jim, Nelson, Peter
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Sloping Binary Numbers: A New Sequence Related to the Binary Numbers
If the list of binary numbers is read by upward-sloping diagonals, the resulting ``sloping binary numbers'' 0, 11, 110, 101, 100, 1111, 1010, ... (or 0, 3, 6, 5, 4, 15, 10, ...) have some surprising properties. We give formulae for the n-th term and the n-th missing term, and discuss a number of related sequences.
Applegate, David +3 more
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Binary Number Sorter-Patent [PDF]
Binary number sorter for arranging numbers in order of ...
Anderson, T. O.
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Dynamics and Interactions of Binaries and Neutron Stars in Globular Clusters [PDF]
We model the dynamics of test binaries in isotropic, multi-mass models of galactic globular clusters. The evolution of binary orbits through the cluster potentials is modeled, including second order diffusion terms, and probabilities for close encounters
Phinney, E. S., Sigurdsson, Steinn
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