Results 81 to 90 of about 769,013 (308)
POLYNOMIAL PATTERNS IN THE PRIMES
Forum of Mathematics, Pi, 2018 Let $P_{1},\ldots ,P_{k}:\mathbb{Z}\rightarrow \mathbb{Z}$ be polynomials of degree at most ...
TERENCE TAO, TAMAR ZIEGLER
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The prime number theorem for generalized primes
Journal of Number Theory, 1972 AbstractSuppose the integer-counting function N of a system of generalized prime numbers satisfies N(x) = Ax + O(x exp{−c logα x}) for some c and α with c > 0 and 0 < α ≤ 1. This paper improves a result of Malliavin by proving that if b ≤ α7.91, then the prime-counting function π satisfies π(x) = lix + O(x exp{−logbx}).
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Aging and Cancer, EarlyView.This prospective study demonstrates that laparoscopic sphincter‐preserving surgery is feasible for elderly patients. While overall survival reaches 70% at 5 years, advanced T‐stage and the omission of neoadjuvant therapy significantly drive recurrence, highlighting the need for personalized geriatric protocols despite logistical challenges.
Huu Duc Ho +4 more
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Elevated Connectivity During Language Processing Is Associated With Cognitive Performance in SeLECTS
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Self‐Limited Epilepsy with Centrotemporal Spikes (SeLECTS) is associated with language impairments despite seizures originating in the motor cortex, suggesting aberrant cross‐network interactions. Here we tested whether functional connectivity in SeLECTS during language tasks predicts language performance.
Wendy Qi +8 more
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Field indices and common index divisors of generalized eisenstein trinomial fields
Mathematics OpenLet [Formula: see text] be a prime number and let [Formula: see text], where [Formula: see text] is a root of the generalized Eisenstein trinomial f(X)=Xp+pa1cp−2X+pa1cp−1, with [Formula: see text] and [Formula: see text]. The arithmetic study of indices,
Mohammed Yacine Djedidi +1 more
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Mozart Effect in Musical Fit? A Commentary on Yeoh & North
Empirical Musicology Review, 2010 Musical fit, the congruence between music and product leading to improved response, is presented as an explanation of differences in recall of food items from two cultures. Musical fit predicts that, in this case, more Indian food items would be recalled
Emery Schubert
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On Prime Near‐Rings with Generalized Derivation [PDF]
International Journal of Mathematics and Mathematical Sciences, 2008 Let N be a 3‐prime 2‐torsion‐free zero‐symmetric left near‐ring with multiplicative center Z. We prove that if N admits a nonzero generalized derivation f such that f(N)⊆Z, then N is a commutative ring. We also discuss some related properties.
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SMARANDACHE SEQUENCE OF HAPPY NUMBERS [PDF]
, 2003 In this article, we present the resuhs of investigation of Smarandache Concatenate Sequence formed from the sequence of Happy Numbers and report some primes and other results found from the ...
Gupta, Shyam Sunder
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Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective To evaluate the efficacy and safety of ofatumumab in patients with myelin oligodendrocyte glycoprotein antibody–associated disease (MOGAD), and compare it with rituximab. Methods We conducted a single–center, observational study including 22 MOGAD patients treated with ofatumumab and 21 treated with rituximab.
Yuxin Fan +5 more
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Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Background Collaterals are crucial factors that influence the infarct growth rate (IGR). We aimed to determine whether a comprehensive multimodal collateral score (MCS), incorporating collateral assessment at the arterial, tissue, and venous levels, is associated with functional independence and provides incremental prognostic value over ...
Giorgio Busto +12 more
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