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Expected Number of Distinct Subsequences in Randomly Generated Binary Strings [PDF]
When considering binary strings, it's natural to wonder how many distinct subsequences might exist in a given string. Given that there is an existing algorithm which provides a straightforward way to compute the number of distinct subsequences in a fixed
Yonah Biers-Ariel+2 more
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The Asymptotic Number of Binary Codes and Binary Matroids [PDF]
12 ...
Marcel Wild
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Maximizing binary interactome mapping with a minimal number of assays
Comprehensive mapping of binary protein-protein interactions requires to combine several complementary assays. Here, the authors show that complete coverage could be reached with a minimal number of assays as long as they explore various experimental ...
Soon Gang Choi+25 more
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Towards Formulation of a Complex Binary Number System
For years complex numbers have been treated as distant relatives of real numbers despite their widespread applications in the fields of electrical and computer engineering.
Tariq Jamil, David Blest, Amer Al-Habsi
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Fast Solutions for Large Reynold’s Number in a Closed-Loop Thermosyphon with Binary Fluid [PDF]
In this work, we analyze the asymptotic behavior of the solutions for a thermosyphon model where a binary fluid is considered, a fluid containing a soluble substance, and the Reynold’s number is large.
Ángela Jiménez-Casas+1 more
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An efficient binary salp swarm algorithm for user selection in multiuser MIMO antenna systems [PDF]
The past ten years have seen notable research activity and significant advancements in multiuser multiple-input multiple-output (MU-MIMO) antennas. An MU-MIMO antenna system must accommodate many subscribers without additional bandwidth or energy.
A. Sasikumar+7 more
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High-Order Multipole and Binary Love Number Universal Relations
Using a data set of approximately 2 million phenomenological equations of state consistent with observational constraints, we construct new equation-of-state-insensitive universal relations that exist between the multipolar tidal deformability parameters
Daniel A. Godzieba, David Radice
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To objectively evaluate the influence of hesitant fuzziness on the ranking of alternatives in multi-attribute decision making with hesitant fuzzy or probabilistic hesitant fuzzy information, the binary connection number of set pair analysis is applied to
Qing Shen+3 more
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Calculation of Fourier-Galois transforms in reduced binary number systems [PDF]
The paper proposes a new method for calculating Fourier-Galois transforms (number-theoretical transforms), which are a modular analog of the discrete Fourier transform.
Vladimir Chernov
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Supercongruences involving Apéry-like numbers and binomial coefficients
Let $ \{S_n\} $ be the Apéry-like sequence given by $ S_n = \sum_{k = 0}^n\binom nk\binom{2k}k\binom{2n-2k}{n-k} $. We show that for any odd prime $ p $, $ \sum_{n = 1}^{p-1}\frac {nS_n}{8^n}{\equiv} (1-(-1)^{\frac{p-1}2})p^2\ (\text{ mod}\ {p^3}) $. Let
Zhi-Hong Sun
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