The Subliminal Threshold Estimation Procedure (STEP): A calibration method tailored for estimating subliminal thresholds. [PDF]
Elbaz E, Yaron I, Mudrik L.
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Anatomical validation of ultrasound-guided retrolaminar block for the treatment of symptomatic vertebral fragility fractures. [PDF]
Ponce A +5 more
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Transcriptomic and lipidomic analysis of the cryptococcal lung granuloma reveals macrophage boundary programs and sphingolipid remodeling. [PDF]
Brauer VS +13 more
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Beadex modulates haematopoiesis and innate immune defence against microbial infection in Drosophila melanogaster. [PDF]
Jain S, Salian K, Shah V, Nongthomba U.
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Relationship Between the Prime-Counting Function and a Unique Prime Number Sequence [PDF]
In the paper under review, the author gives an expression for the asymptotic limit of the prime-counting function \(\pi(x)\) as a function of the prime number subsequence of higher order \[ \mathbb{P}'=\{2, 5, 7, 13, 19, 23, 29, 31, 37, 43, 47, 53, 59, 61, 71, \dots\}.
May, Michael P.
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On the Counting Function of Irregular Primes
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Amalia Pizarro-Madariaga +2 more
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On a Constant Related to the Prime Counting Function
Mediterranean Journal of Mathematics, 2015Recall that \(\pi(x)\) denotes the number of primes not exceeding \(x\), and let \[ S(x)=\sum_{2\leq n\leq x}\frac{1}{\pi(n)}-\left(\frac{1}{2}\log^2 x-\log x-\log\log x\right). \] It is known that \(S(x)\) tends to a limit, say \(C\), as \(x\to\infty\).
Berkane, Djamel, Dusart, Pierre
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On Relatively Prime Sets Counting Functions
Integers, 2010AbstractThis work is motivated by Nathanson's recent paper on relatively prime sets and a phi function for subsets of {1, 2, 3, . . . ,
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The Counting Function for Elkies Primes
Let $E$ be an elliptic curve over a finite field $\mathbb{F}_q$ where $q$ is a prime power. The Schoof--Elkies--Atkin (SEA) algorithm is a standard method for counting the number of $\mathbb{F}_q$-points on $E$. The asymptotic complexity of the SEA algorithm depends on the distribution of the so-called Elkies primes.
Lippmann, Meher Elijah, McGown, Kevin J.
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