Results 61 to 70 of about 351,945 (274)
Erlangen Programme at Large 3.2: Ladder Operators in Hypercomplex Mechanics [PDF]
We revise the construction of creation/annihilation operators in quantum mechanics based on the representation theory of the Heisenberg and symplectic groups.
Kisil, Vladimir V.
core +3 more sources
Raman‐based label‐free microscopic analysis of the pancreas in living zebrafish larvae
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
Binomial Series Involving Harmonic-like Numbers
By computing definite integrals, we shall examine binomial series of convergence rate ±1/2 and weighted by harmonic-like numbers. Several closed formulae in terms of the Riemann and Hurwitz zeta functions as well as logarithm and polylogarithm functions ...
Chunli Li, Wenchang Chu
doaj +1 more source
Differences of Harmonic Numbers and the $abc$-Conjecture [PDF]
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 ...
da Silva, Natalia +2 more
core +2 more sources
Approximations of the Harmonic Numbers
Abstract The aim of this paper is to present some approximations on the harmonic numbers. Some associated asymptotic series are constructed.
Chao-Ping Chen, Cristinel Mortici
openaire +1 more source
On Spieß’s conjecture on harmonic numbers
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jin, Hai-Tao, Sun, Lisa H.
openaire +1 more source
A tri‐culture of iPSC‐derived neurons, astrocytes, and microglia treated with ferroptosis inducers as an Induced ferroptosis model was characterized by scRNA‐seq, cell survival, and cytokine release assays. This analysis revealed diverse microglial transcriptomic changes, indicating that the system captures key aspects of the complex cellular ...
Hongmei Lisa Li +6 more
wiley +1 more source
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
Cubic harmonics and Bernoulli numbers
18 pages, 3 ...
openaire +4 more sources

