Results 31 to 40 of about 2,229,736 (291)

Holonomic equations and efficient random generation of binary trees [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science
Holonomic equations are recursive equations which allow computing efficiently numbers of combinatoric objects. Rémy showed that the holonomic equation associated with binary trees yields an efficient linear random generator of binary trees.
Pierre Lescanne
doaj   +1 more source

On the non-minimality of the largest weight codewords in the binary Reed-Muller codes [PDF]

open access: yes, 2011
The study of minimal codewords in linear codes was motivated by Massey who described how minimal codewords of a linear code define access structures for secret sharing schemes.
Klein, Andreas, Storme, Leo
core   +2 more sources

Binary Representation of Natural Numbers [PDF]

open access: yesFormalized Mathematics, 2018
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.
openaire   +2 more sources

BiEntropy, TriEntropy and Primality

open access: yesEntropy, 2020
The order and disorder of binary representations of the natural numbers < 28 is measured using the BiEntropy function. Significant differences are detected between the primes and the non-primes.
Grenville J. Croll
doaj   +1 more source

Binomial Number System

open access: yesApplied Sciences, 2021
This paper presents and first scientifically substantiates the generalized theory of binomial number systems (BNS) and the method of their formation for reliable digital signal processing (DSP), transmission, and data storage.
Oleksiy Borysenko   +2 more
doaj   +1 more source

The critical number of dense triangle-free binary matroids

open access: yes, 2016
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
core   +1 more source

Binary Number Sorter-Patent [PDF]

open access: yes, 1970
Binary number sorter for arranging numbers in order of ...
Anderson, T. O.
core   +1 more source

Dynamics and Interactions of Binaries and Neutron Stars in Globular Clusters [PDF]

open access: yes, 1994
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
core   +3 more sources

Sloping Binary Numbers: A New Sequence Related to the Binary Numbers

open access: yes, 2005
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
openaire   +3 more sources

Two Faces of NOTCH1 in Childhood Lymphoblastic T‐Cell Neoplasia: Prognostic Divergence of Mutational and Structural Aberrations

open access: yesPediatric Blood &Cancer, EarlyView.
ABSTRACT In pediatric patients, T‐cell lymphoblastic lymphoma (T‐LBL) survival exceeds 80%. Relapse remains associated with limited curative options. Frontline treatment is largely extrapolated from T‐cell acute lymphoblastic leukemia (T‐ALL) treatment, reflecting the ongoing debate, whether both entities represent distinct diseases or variants within ...
Marie C. Heider   +4 more
wiley   +1 more source

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