Results 61 to 70 of about 106,566 (267)
Raman‐based label‐free microscopic analysis of the pancreas in living zebrafish larvae
FEBS Open Bio, EarlyView.Forward stimulated Raman scattering (F‐SRS) and epi coherent anti‐Stokes Raman scattering (E‐CARS) allow label‐free discrimination of distinct subcellular structures in the pancreas of living zebrafish larvae. Given the straightforward applicability, we anticipate broad implementation of Raman microscopy in other organs and across various biomedical ...
Noura Faraj +3 more
wiley +1 more source
Differences of Harmonic Numbers and the abc-Conjecture
The PUMP Journal of Undergraduate Research, 2018 Our main source of inspiration was a talk by Hendrik Lenstra on harmonic numbers, which are numbers whose only prime factors are two or three. Gersonides proved 675 years ago that one can be written as a difference of harmonic numbers in only four ways: 2-1, 3-2, 4-3, and 9-8.
da Silva, Natalia +2 more
openaire +3 more sources
Certain Mathematical Constants Associated with Harmonic Numbers and Higher-Dimensional Harmonic Sums
MathematicsThe Euler–Mascheroni constant γ, defined as the limiting difference between the harmonic numbers Hn and logn, has long been studied and appears in diverse areas of number theory, analysis, and special functions.
Junesang Choi
doaj +1 more source
FEBS Open Bio, EarlyView.Time‐resolved X‐ray solution scattering captures how proteins change shape in real time under near‐native conditions. This article presents a practical workflow for light‐triggered TR‐XSS experiments, from data collection to structural refinement. Using a calcium‐transporting membrane protein as an example, the approach can be broadly applied to study ...
Fatemeh Sabzian‐Molaei +3 more
wiley +1 more source
On Symplectically Harmonic Betti Numbers
Journal of Geometry and PhysicsAbstract Brylinski introduced the symplectic analogue of harmonic forms on symplectic manifolds, thereby defining the symplectically harmonic cohomology space of a symplectic manifold. In this paper, we derive a formula for determining the sym-plectically harmonic Betti numbers of an arbitrary symplectic manifold of finite type, based on the ...
Shanborlang Bynnud, Angom Tiken Singh
openaire +1 more source
Asymptotic inequalities for alternating harmonics [PDF]
Bulletin of Mathematical Sciences, 2019 For n ∈ ℕ the nth alternating harmonic number Hn∗ :=∑ k=1n(−1)k−1 1 k is given in the form Hn∗ =ln 2 + (−1)n+1 4⌊n+1 2 ⌋ +∑i=1q−1 (4i − 1)B 2i (2i)(2⌊n+1 2 ⌋)2i + rq(n), where q ∈ ℕ is a parameter controlling the magnitude of the error term rq ...
Vito Lampret
doaj +1 more source
Multiple Sclerosis Relapse Activity After Ozanimod Discontinuation in DAYBREAK Trial Participants
Annals of Clinical and Translational Neurology, EarlyView.Multiple Sclerosis Relapse Activity After Ozanimod Discontinuation in DAYBREAK Trial Participants. ABSTRACT Objective Return of disease activity is expected when patients discontinue disease‐modifying therapy (DMT) for multiple sclerosis (MS). Some MS DMTs are associated with higher‐than‐expected disease activity (rebound) after discontinuation.
Ralf Gold +12 more
wiley +1 more source
On the Ramanujan–Lodge harmonic number expansion
Applied Mathematics and Computation, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cristinel Mortici, Mark B. Villarino
openaire +4 more sources
Optimal Harmonic Period Assignment With Constrained Number of Distinct Period Values
IEEE Access, 2020 Harmonic periods have been of great importance in the design of real-time applications due to their high schedulability, predictability, and ease of analysis.
Ivan Pavic, Hrvoje Dzapo
doaj +1 more source
Relationship Between Neurologic Symptoms and Signs and FMR1 Genotype in Premutation Carriers
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Background and Objectives Fragile X‐associated Tremor/Ataxia Syndrome (FXTAS) is the most severe late‐onset condition caused by a premutation in the FMR1 gene, characterized by expanded CGG triplet repeats of 55–200. Clinical presentations of FXTAS, including gait ataxia, kinetic tremor, cognitive decline, and rare Parkinsonism, are linked to ...
Flora Tassone +8 more
wiley +1 more source