Results 41 to 50 of about 68,409 (246)
New Analytical Formulas for the Rank of Farey Fractions and Estimates of the Local Discrepancy
MathematicsNew analytical formulas are derived for the rank and the local discrepancy of Farey fractions. The new rank formula is applicable to all Farey fractions and involves sums of a lower order compared to the searched one.
Rogelio Tomás García
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Output feedback robust stabilization of distributed‐order systems
Asian Journal of Control, EarlyView.Abstract This paper addresses the challenge of robust fast stabilization for a class of dynamical systems characterized by slow and ultra‐slow dynamics. The system model is approximated using a distributed‐order derivative of the measured output, which captures the influence of the control input, system dynamics, and external disturbances.
Aldo Jonathan Muñoz‐Vázquez +3 more
wiley +1 more source
An Essay on the Riemann Hypothesis [PDF]
, 2016 To appear in the Springer volume entitled Open Problems in Mathematics, edited jointly by John F. Nash and Michael.
Alain Connes, Alain Connes, Alain Connes
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Variants on Andrica’s Conjecture with and without the Riemann Hypothesis
Mathematics, 2018 The gap between what we can explicitly prove regarding the distribution of primes and what we suspect regarding the distribution of primes is enormous. It is (reasonably) well-known that the Riemann hypothesis is not sufficient to prove Andrica’s ...
Matt Visser
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On Balazard, Saias, and Yor's equivalence to the Riemann Hypothesis
, 2013 Balazard, Saias, and Yor proved that the Riemann Hypothesis is equivalent to a certain weighted integral of the logarithm of the Riemann zeta-function along the critical line equaling zero.
Bui, H. M. +2 more
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ESC Heart Failure, EarlyView.Abstract Aims Heart failure (HF) is one of today's leading public health issues worldwide. The sodium‐glucose cotransporter 2 inhibitor (SGLT2i) dapagliflozin recently received a label expansion. It is now approved for treatment of HF across the entire spectrum of ejection fraction (EF) in Germany. However, real‐world data are limited.
Matthias Paul +7 more
wiley +1 more source
The Complete Proof of the Riemann Hypothesis [PDF]
, 2021 Robin criterion states that the Riemann Hypothesis is true if and only if the inequality $\sigma(n) < e^{\gamma } \times n \times \log \log n$ holds for all $n > 5040$, where $\sigma(n)$ is the sum-of-divisors function and $\gamma \approx 0.57721$ is the Euler-Mascheroni constant.
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Journal of Traumatic Stress, EarlyView.Abstract Disturbed sleep is a known risk factor for heightened mental health symptoms, and this association may be particularly problematic among emergency medical service (EMS) clinicians. Yet, associations between daily sleep quality and daily mental health symptoms are understudied among this vulnerable group.
Enzo G. Plaitano +7 more
wiley +1 more source
Smaller phytoplankton size‐groups control the stoichiometry of the autotrophic community
Limnology and Oceanography, EarlyView.Abstract In the marine environment, the prevailing paradigm is that larger organisms like diatoms are primary contributors to phytoplankton stoichiometry. Numerous studies investigated the stoichiometry of phytoplankton groups or total community but its dynamics among different size‐groups are not resolved.
Thomas Mollica +3 more
wiley +1 more source
Aquatic heatwaves increase surface chlorophyll concentrations in experimental and reference lakes
Limnology and Oceanography Letters, EarlyView.Abstract Aquatic heatwaves are increasing in frequency, intensity, and duration worldwide. While increases in mean water temperatures are linked to enhanced phytoplankton biomass, it is unclear how heatwaves alter phytoplankton dynamics in lakes at an ecosystem scale.
Daniel K. Szydlowski +3 more
wiley +1 more source