Results 81 to 90 of about 68,409 (246)

Notes on the Riemann Hypothesis

, 2018
These notes were written from a series of lectures given in March 2010 at the Universidad Complutense of Madrid and then in Barcelona for the centennial anniversary of the Spanish Mathematical Society (RSME).
Pérez-Marco, Ricardo
core  

Dreaming of Better Treatments: Advances in Drug Development for Sleep Medicine and Chronotherapy

Journal of Sleep Research, EarlyView.
ABSTRACT Throughout history, the development of new sleep medicines has been driven by progress in our understanding of the mechanisms underlying sleep. Ancient civilisations used their understanding of the sedative nature of natural herbs and compounds to induce sleep.
Brooke A. Prakash, Ishani Shah, Guohao Ni, Sridhar Vasudevan, Aarti Jagannath, Russell G. Foster   +5 more
wiley   +1 more source

Riemann hypothesis to Riemann theory

, 2018
the Riemann hypothesis states that any zero of the Riemann zeta function other than the trivial zeros has a real part equals half ”, this paper has only 7 pages, no figures, no charts, and contains a somehow distinct proof to the Riemann hypothesis, which Sir David Hilbert once said about,” if I were to awaken after having slept for a thousand years ...
openaire   +1 more source

Riemann Hypothesis

Claim – I give a constructive octonionic proof of the Riemann Hypothesis: every non-trivial zero of ζ(s) lies on Re s = ½. Key step – The Determinant-Zeta Identity (Theorem 6.1, Sect. 6) shows det⁡ ⁣(s(1−s)I−(H−14))=C ζ(s)−1,\det\!\bigl(s(1-s)I-(H-\tfrac14)\bigr)=C\,\zeta(s)^{-1},det(s(1−s)I−(H−41))=Cζ(s)−1, so the poles of the Fredholm determinant ...
openaire   +7 more sources

Newton flow of the Riemann zeta function: separatrices control the appearance of zeros

New Journal of Physics, 2014
A great many phenomena in physics can be traced back to the zeros of a function or a functional. Eigenvalue or variational problems prevalent in classical as well as quantum mechanics are examples illustrating this statement.
J W Neuberger, C Feiler, H Maier, W P Schleich   +3 more
doaj   +1 more source

Existence and uniqueness of solutions for a class of higher-order fractional boundary value problems with the nonlinear term satisfying some inequalities

Journal of Inequalities and Applications, 2020
This paper focuses on a class of hider-order nonlinear fractional boundary value problems. The boundary conditions contain Riemann–Stieltjes integral and nonlocal multipoint boundary conditions.
Fang Wang, Lishan Liu, Yonghong Wu
doaj   +1 more source

The Future of Insomnia Research—There's Still Work to Be Done

Journal of Sleep Research, EarlyView.
ABSTRACT Insomnia Disorder (ID) is a highly debilitating disorder affecting up to 10% of the general population. In recent years, the number of studies in this area has increased rapidly, resulting in a wealth of accumulated knowledge. ID is generally regarded as a hyperarousal disorder affecting cognitive, emotional, cortical and physiological domains.
Raphael J. Dressle, Kai Spiegelhalder, Julian E. Schiel, Fee Benz, Anna Johann, Bernd Feige, Susanna Jernelöv, Michael Perlis, Dieter Riemann   +8 more
wiley   +1 more source

Mellin and Widder–Lambert Transforms with Applications in the Salem Equivalence to the Riemann Hypothesis

Axioms
This paper presents a comprehensive study of Plancherel’s theorem and inversion formulae for the Widder–Lambert transform, extending its scope to Lebesgue integrable functions, compactly supported distributions, and regular distributions with compact ...
Emilio R. Negrín, Jeetendrasingh Maan, Benito J. González   +2 more
doaj   +1 more source

Treatment Preferences in Patients With Insomnia and Medical Comorbidity: Associated Factors and Impact on Treatment‐Outcome

Journal of Sleep Research, EarlyView.
ABSTRACT Insomnia is common in patients with medical comorbidity. First‐line treatment for insomnia is cognitive behavioural therapy for insomnia (CBT‐I). However, some patients with medical comorbidities prefer pharmacological treatment. This study aimed to (1) identify factors influencing treatment preference in these patients, and (2) assess how ...
Nynke Rauwerda, Irene Pot, Annemarie Braamse, Annemieke van Straten, Pythia van Nieuwkerk, Myrthe Boss, Marian Rikkert, Hans Knoop   +7 more
wiley   +1 more source

Stepped‐Care Management of Insomnia: Treatment Choices Guided by a Patient Decision Aid in a Pragmatic Nonrandomized Clinical Trial Setting

Journal of Sleep Research, EarlyView.
ABSTRACT Patients with insomnia face difficult decisions when choosing between treatment options with competing risk–benefit profiles. Patient treatment choices were evaluated as part of a pragmatic nonrandomized clinical trial for a two‐step cognitive behavioural therapy for insomnia (CBT‐I) intervention. Upon enrollment, participants were guided by a
Janet M. Y. Cheung, Lee M. Ritterband, Si‐Jing Chen, Hans Ivers, Charles M. Morin   +4 more
wiley   +1 more source