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Prime Graphs with Almost True Twin Vertices
MathematicsA graph G consists of a possibly infinite set V(G) of vertices with a collection E(G) of unordered pairs of distinct vertices, called the set of edges of G. Such a graph is denoted by (V(G),E(G)).
Aymen Ben Amira, Moncef Bouaziz
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Journal of Number Theory, 1993 Let \(c\) be a positive constant, and let \(N_ c (x)\) denote the number of primes \(p \leq x\) for which \([p^ c]\) is also prime. \textit{A. Balog} [Publ. Math. Orsay 89/01, 3-11 (1989; Zbl 0712.11056)] proved that \[ N_ c(x) \sim c^{-1} x(\log x)^{-2} \] for \(c < 5/6\), and that \(\limsup_{x \to \infty} {N_ c(x) \over c^{-1} x(\log x)^{-2}} \geq 1\)
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Purpose Cognitive and psychological difficulties could negatively interfere with treatment adherence and quality of life before and after hematopoietic stem cell transplant (HSCT). Methods to mitigate these changes may have positive effects on treatment success.
Kristen L. Votruba +11 more
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The media and the coup leader: Sitiveni Rabuka
Pacific Journalism Review, 2005 Brigadier-General Sitiveni Rabuka, the former prime minister of Fiji who gained notoriety for staging twin coups in 1987, has enjoyed a love-hate relationship with the Fiji and Pacific media for almost two decades.
Anthony Mason
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Barriers to the Adoption of Digital Twin in the Construction Industry: A Literature Review
Informatics, 2023 Digital twin (DT) has gained significant recognition among researchers due to its potential across industries. With the prime goal of solving numerous challenges confronting the construction industry (CI), DT in recent years has witnessed several ...
De-Graft Joe Opoku +5 more
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Prime Harmonics and Twin Prime Distribution [PDF]
, 2020 Distribution of twin primes is a long standing problem in the number theory. As of present, it is not known if the set of twin primes is finite, the problem known as twin prime conjecture. An analysis of prime modulo cycles, or prime harmonics in this work allowed to define approaches in estimation of twin prime distributions with good accuracy of ...
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Crosstalk between the ribosome quality control‐associated E3 ubiquitin ligases LTN1 and RNF10
FEBS Letters, EarlyView.Loss of the E3 ligase LTN1, the ubiquitin‐like modifier UFM1, or the deubiquitinating enzyme UFSP2 disrupts endoplasmic reticulum–ribosome quality control (ER‐RQC), a pathway that removes stalled ribosomes and faulty proteins. This disruption may trigger a compensatory response to ER‐RQC defects, including increased expression of the E3 ligase RNF10 ...
Yuxi Huang +8 more
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Multiple ETS family transcription factors bind mutant p53 via distinct interaction regions
FEBS Letters, EarlyView.Mutant p53 gain‐of‐function is thought to be mediated by interaction with other transcription factors. We identify multiple ETS transcription factors that can bind mutant p53 and found that this interaction can be promoted by a PXXPP motif. ETS proteins that strongly bound mutant p53 were upregulated in ovarian cancer compared to ETS proteins that ...
Stephanie A. Metcalf +6 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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Twin Primes and Sophie Germain’s Prime Numbers [PDF]
The Bulletin of Society for Mathematical Services and Standards, 2013 For two millennia, the prime numbers have continued to fascinate mathematicians. Indeed, a conjecture which dates back to this period states that the number of twin primes is infinite. In 1949 Clement showed a theorem on twin primes. In a recent article, I prooved a corollary of Clement’s theorem [1].
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