Results 31 to 40 of about 566,670 (285)
On the binary expansions of algebraic numbers [PDF]
Journal de Théorie des Nombres de Bordeaux, 2004 Employing concepts from additive number theory, to- gether with results on binary evaluations and partial series, we establish bounds on the density of 1's in the binary expansions of real algebraic numbers. A central result is that if a real y has algebraic degree D > 1, then the number #(|y|,N) of 1-bits in the expansion of |y| through bit position N
Bailey, David H. +3 more
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Holonomic equations and efficient random generation of binary trees [PDF]
Discrete Mathematics & Theoretical Computer ScienceHolonomic 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
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Applied 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
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BiEntropy, TriEntropy and Primality
Entropy, 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
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The power of microRNA regulation—insights into immunity and metabolism
FEBS Letters, EarlyView.MicroRNAs are emerging as crucial regulators at the intersection of metabolism and immunity. This review examines how miRNAs coordinate glucose and lipid metabolism while simultaneously modulating T‐cell development and immune responses. Moreover, it highlights how cutting‐edge artificial intelligence applications can identify miRNA biomarkers ...
Stefania Oliveto +2 more
wiley +1 more source
Identification of novel small molecule inhibitors of ETS transcription factors
FEBS Letters, EarlyView.ETS transcription factors play an essential role in tumourigenesis and are indispensable for sprouting angiogenesis, a hallmark of cancer, which fuels tumour expansion and dissemination. Thus, targeting ETS transcription factor function could represent an effective, multifaceted strategy to block tumour growth. The evolutionarily conserved E‐Twenty‐Six
Shaima Abdalla +9 more
wiley +1 more source
THE CONCEPT OF PERFORMING THE ADDITION OPERATION IN THE SYSTEM OF RESIDUAL CLASSES
Сучасні інформаційні системи, 2022 The subject of the article is the development of a method for implementing the arithmetic operation of adding the residuals of numbers, which are represented in the system of residual classes (RNS).
Victor Krasnobayev +2 more
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Social context prevents heat hormetic effects against mutagens during fish development
FEBS Letters, EarlyView.This study shows that sublethal heat stress protects fish embryos against ultraviolet radiation, a concept known as ‘hormesis’. However, chemical stress transmission between fish embryos negates this protective effect. By providing evidence for the mechanistic molecular basis of heat stress hormesis and interindividual stress communication, this study ...
Lauric Feugere +5 more
wiley +1 more source
SiGMoiD: A super-statistical generative model for binary data.
PLoS Computational Biology, 2021 In modern computational biology, there is great interest in building probabilistic models to describe collections of a large number of co-varying binary variables. However, current approaches to build generative models rely on modelers' identification of
Xiaochuan Zhao +2 more
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Sloping Binary Numbers: A New Sequence Related to the Binary Numbers
, 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
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