Results 131 to 140 of about 76,351 (297)
Iteration Distribution of Prime Numbers
Journal of Mathematics Research, 2011 The distribution of prime numbers is given iteration function, iterated function transformation, series of transformations, the general term of iteration, calculation examples and numerical control.
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Toward a dynamical model for prime numbers
, 2004 We show one possible dynamical approach to the study of the distribution of prime numbers. Our approach is based on two complexity methods, the computable information content and the entropy information gain, looking for analogies between the prime ...
MEGA M. S., BONANNO, CLAUDIO
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Molecular Oncology, EarlyView.Single‐cell multi‐omics reveals epigenetic heterogeneity across therapy‐adaptive tumor states, including quiescent/dormant, drug‐tolerant persister, and EMT‐like phenotypes. By linking regulatory features with state‐associated biomarkers, these approaches inform biomarker‐guided therapeutic strategies for evolving tumors.
Hee Jung Kim +3 more
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Discrepancies in the distribution of prime numbers
Journal of Number Theory, 1982 AbstractChebyshev has noticed a certain predominance of primes of the form 4n + 3 over those of the form 4n + 1. He asserted that limx→∞∑p > 2 (−1)(p − 1)2e−px = −∞. This was unproven until today. G. H. Hardy, J. E. Littlewood and E. Landau have shown its equivalence with an analogue to the famous Riemann hypothesis, namely, L(s, χ1mod 4) ≠ 0, Re(s ...
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Molecular Oncology, EarlyView.Drug resistance limits treatment success in a subset of lung cancers driven by ROS1 gene alterations. Using patient‐derived cells and computer simulations, we studied three key mutations and how they affect five targeted drugs. The mutations reduced drug effectiveness in different ways by altering protein structure and behavior.
Farhan Ul Haq +8 more
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A question of Erdős and Graham on Egyptian fractions
Discrete AnalysisA question of Erdős and Graham on Egyptian fractions, Discrete Analysis 2025:28, 13 pp. An _Egyptian fraction_ is a way of writing a rational number as a sum of reciprocals of positive integers with distinct denominators.
David Conlon +6 more
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Prime Numbers Distribution Line
, 2020 During the analysis of the fractal-primorial periodicity of the natural series of numbers, presented in the form of an alternation (sequence) of prime numbers (1 smallest prime factor > 1 of any integer), the regularity of prime numbers distribution was revealed.
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, 2012 textThis report explores the historical development of three areas of study regarding prime numbers. The attempt to find an efficient and useful function to generate primes could be a helpful tool in the improvement of encryption.
Schuler, Paul Lavelle
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FEBS Open Bio, EarlyView.Unique biological samples, such as site‐specific mutant proteins, are available only in limited quantities. Here, we present a polarization‐resolved transient infrared spectroscopy setup with referencing to improve signal‐to‐noise tailored towards tracing small signals. We provide an overview of characterizing the excitation conditions for polarization‐
Clark Zahn, Karsten Heyne
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Nuclear pore links Fob1‐dependent rDNA damage relocation to lifespan control
FEBS Open Bio, EarlyView.Damaged rDNA accumulates at a specific perinuclear interface that couples nucleolar escape with nuclear envelope association. Nuclear pores at this site help inhibit Fob1‐induced rDNA instability. This spatial organization of damage handling supports a functional link between nuclear architecture, rDNA stability, and replicative lifespan in yeast.
Yamato Okada +5 more
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