Results 11 to 20 of about 62,654 (258)
The Asymptotic Number of Inequivalent Binary Codes and Nonisomorphic Binary Matroids
Finite Fields and Their Applications, 2000 It is known that the number \(b(n)\) of inequivalent binary codes of length \(n\) gives the number of nonisomorphic binary \(n\)-matroids. The paper provides the asymptotic value of the number \(b(n)\) as \(n\to\infty\). Asymptotically, \(b(n)\equiv G(n)/n!\), where \(G(n)\) is the number of linear subspaces of \(\text{GF}(2)^n\).
Wild, Marcel
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Invariants of binary forms [PDF]
, 2014 We work over the field of complex numbers. Consider the set V_n of binary forms of degree n, i.e., homogeneous polynomials of degree n in two variables. An invariant of V_n is a polynomial in the coefficients of a form in V_n whose value does not change ...
Popoviciu Draisma, Mihaela Ileana
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Stability of Characteristics of Physical Random Number Generators
Доклады Белорусского государственного университета информатики и радиоэлектроники, 2023 The development of technologies leads to the need of revising the methods used to obtain cryptographic keys. The randomness parameters of sequences generated by physical random sequence generators are affected by the physical parameters of the recording ...
M. O. Pikuza +2 more
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International Journal of Group Theory, 2020 Fragile words have been already considered in the context of automata groups. Here we focus our attention on a special class of strongly fragile words that we call Catalan fragile words.
Daniele D'Angeli +2 more
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Antisquares and Critical Exponents [PDF]
Discrete Mathematics & Theoretical Computer Science, 2023 The (bitwise) complement $\overline{x}$ of a binary word $x$ is obtained by changing each $0$ in $x$ to $1$ and vice versa. An $\textit{antisquare}$ is a nonempty word of the form $x\, \overline{x}$.
Aseem Baranwal +5 more
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A contribution to the understanding of percolation phenomena in binary liquids [PDF]
, 2004 In the present work it was shown the important role of the Ei/E parameter in the characterization of polar liquids. It could be demonstrated that the application of the broad range dielectric spectroscopy together with the analysis of the quasi-static ...
Hernandez Perni, Maria Engracia
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Alternative formulations to compute the binary shape Euler number
IET Computer Vision, 2014 The authors propose two equations based on the pixel geometry and connectivity properties, which can be used to compute, efficiently, the Euler number of a binary digital image with either thick or thin boundaries.
Juan Humberto Sossa Azuela +5 more
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Modeling the travel distances of debris flows and debris slides: quantifying hillside morphology [PDF]
Annals of Forest Research, 2011 A travel distance model for debris flows and slides is presented based on information collected in southeast British Columbia, Canada. The model incorporates a variable that represents terrain morphology by a single number, quantification made using a ...
Bogdan Strimbu
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Congruences for the Apéry numbers modulo p³ [PDF]
Notes on Number Theory and Discrete MathematicsLet {Aₙ'} be the Apéry numbers given by Aₙ'=\Σⁿₖ₌ₒ$binom{n}{k}$²$binom{n+k}{k}$. For any prime p≡3 (mod 4) we show that A'_{(p-1)/2}≡p²/3$binom{(p-3)/2}{(p-3)/4}$² (mod p³). Let {tₙ} be given by t₀=1, t₁=5 and tₙ₊₁=(8n²+12n+5)tₙ-4n²(2n+1)²tₙ₋₁ (n≥1).
Zhi-Hong Sun
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The harmonious chromatic number of almost all trees [PDF]
, 1995 A harmonious colouring of a simple graph G is a proper vertex colouring such that each pair of colours appears together on at most one edge. The harmonious chromatic number h(G) is the least number of colours in such a colouring.For any positive integer ...
Edwards, Keith
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