Results 71 to 80 of about 257,797 (288)
An inequality for multiplicative functions
Journal of Number Theory, 1992 AbstractLet k be a positive integer and f a multiplicative function with 0 < f(p) ≤1/k for all primes p. Then, for squarefree n, we have ∑l|nl≤n1/(k+1)f(l)≥1k+1∑l|nf(l) This improves some recent results of Alladi, Erdo˝s, and Vaaler.
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Rigidity theorems for multiplicative functions [PDF]
Mathematische Annalen, 2018 42 pages; fixed some typos, improved exposition in the introduction and added section on gaps problem for general 1-bounded completely multiplicative ...
Klurman, Oleksiy, Mangerel, Alexander P.
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Metabolic Consequences of Rheumatoid Arthritis
Arthritis Care &Research, EarlyView.Patients with rheumatoid arthritis (RA) may have metabolic disruption, which can contribute to adverse long‐term outcomes, for multiple reasons. Patients with RA appear to have a higher risk of sarcopenia, type 1 and type 2 diabetes mellitus, metabolic syndrome, and hypertension. Systemic inflammation in RA can cause a “lipid paradox,” with reduced low‐
Stevie Barry +2 more
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Construction of the beta distributions using the random permutation divisors
Nonlinear AnalysisA subset of cycles comprising a permutation σ in the symmetric group Sn, n ∈ N, is called a divisor of σ. Then the partial sums over divisors with sizes up to un, 0 ≤ u ≤ 1, of values of a nonnegative multiplicative function on a random permutation ...
Gintautas Bareikis +1 more
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Arthritis Care &Research, Accepted Article.Objective Administrative claims are used to evaluate oral glucocorticoid use in rheumatoid arthritis (RA), despite limited evidence to support accuracy. We aimed to evaluate the performance of claims‐based algorithms for glucocorticoid use compared to self‐report in an RA population.
Beth I. Wallace +16 more
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International Journal of Adaptive Control and Signal Processing, EarlyView.Summary Data‐driven forecasting of ship motions in waves is investigated through feedforward and recurrent neural networks as well as dynamic mode decomposition. The goal is to predict future ship motion variables based on past data collected on the field, using equation‐free approaches.
Matteo Diez +2 more
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Bayes multiple decision functions
Electronic Journal of Statistics, 2013 This paper deals with the problem of simultaneously making many (M) binary decisions based on one realization of a random data matrix X. M is typically large and X will usually have M rows associated with each of the M decisions to make, but for each row the data may be low dimensional.
Wu, Wensong, Pena, Edsel A.
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Function theory and multiplicative linear functionals [PDF]
Transactions of the American Mathematical Society, 1965 The principal result of this paper is that HO is a logmodular algebra on the maximal ideal space of Lw(m), i.e., that each real-valued function in L(m) is the logarithm of the modulus of an invertible function in the algebra H'. This enables us to deduce from (a) and (b) the bulk of the generalized analytic function theory which is valid for logmodular
Hugo Rossi +3 more
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RhoA and Rac1 as Mechanotransduction Mediators in Colorectal Cancer
Advanced Biology, EarlyView.Analysing RhoA and Rac1 protein levels in Colorectal cancer (CRC) samples under mechanical strain highlights their potential as diagnostic markers. Monitoring their activity could offer valuable insights into how cancer spreads, paving the way for new approaches to better understand and diagnose colorectal cancer.
Sharda Yadav +5 more
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