Results 61 to 70 of about 1,401 (157)

Wavelet Transform‐Based Atomic Force Microscopy: A Computational Paradigm for Dynamic Nanoscale Imaging and Characterisation

Small Science, Volume 6, Issue 8, August 2026.
Wavelet transform‐based AFM enables real‐time nanoscale imaging by applying wavelet analysis to raw cantilever deflection signals. It reveals non‐linear, transient and multi‐frequency dynamics beyond conventional steady‐state methods. Integrated with adaptive filtering and digital twin modelling, it produces high‐resolution, information‐rich maps of ...
Pardis Biglarbeigi, Navneet Soin, Amit Kumar, Dewar Finlay, Amir Farokh Payam   +4 more
wiley   +1 more source

An approach to calculate Franck-Condon factors involving anharmonic potentials using harmonic oscillator bases

Journal of Physics Communications
In this contribution a discrete variable representation (DVR) approach to calculate Franck-Condon factors (FCFs) is presented. The method is illustrated using a harmonic oscillator basis. The advantage of this approach is that it is possible to calculate
E Suárez, R Lemus
doaj   +1 more source

Hyponatremia correction is associated with increased brain‐derived neurotrophic factor levels: A pilot secondary analysis of a randomized, double‐blind, placebo‐controlled, crossover trial

Journal of Neuroendocrinology, Volume 38, Issue 8, August 2026.
Abstract Chronic hyponatremia is associated with cognitive deficits, yet the underlying mechanisms remain elusive. A cerebral growth factor which is crucial for cognition and memory is brain‐derived neurotrophic factor (BDNF), but its role in hyponatremia has never been investigated.
Eszter Kustos‐Tóth, Julia Beck, Lucia Seeger, Sophie Monnerat, Cemile Bathelt, Julie Refardt, Mirjam Christ‐Crain   +6 more
wiley   +1 more source

Smoothing discrete Morse theory [PDF]

ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, 2016
After surveying classical notions of PL topology of the Seventies, we clarify the relation between Morse theory and its discretization by Forman. We show that PL handles theory and discrete Morse theory are equivalent, in the sense that every discrete Morse vector on some PL triangulation is also a PL handle vector, and conversely, every PL handle ...
openaire   +2 more sources

Saturation or Sufficiency? Epistemic Closure and the Problem of “Enough” in Qualitative Research

Sociological Inquiry, Volume 96, Issue 3, August 2026.
This paper argues that debates over saturation in qualitative research point to a deeper problem than conceptual ambiguity or inconsistent application. At stake is the lack of a general account of how inquiry becomes sufficient. Drawing on sociological theories of justification, evaluation, and boundary work, the paper introduces the concept of ...
Michael Carolan
wiley   +1 more source

Discrete Morse Theory Is At Least As Perfect As Morse Theory

, 2010
In bounding the homology of a manifold, Forman's Discrete Morse theory recovers the full precision of classical Morse theory: Given a PL triangulation of a manifold that admits a Morse function with c_i critical points of index i, we show that some subdivision of the triangulation admits a boundary-critical discrete Morse function with c_i interior ...
openaire   +2 more sources

Rigidity and Toledo Invariant for Spin*(8)-Higgs Bundles

Mathematics
In this paper, we study Spin*(8)-Higgs bundles over compact Riemann surfaces, extending the work of Bradlow, García-Prada, and Gothen on SO*(8). The group Spin*(8) is exceptional among classical real forms, as its complexification Spin(8,C) admits ...
Álvaro Antón-Sancho
doaj   +1 more source

Quantum dynamical signatures of topological flow transitions in limit cycle phases

Physical Review Research
Quantum self-oscillatory phases are ubiquitous in driven-dissipative systems. Classically, each phase is defined by its flow pattern and how stationary sets organize phase space (e.g., fixed points and limit cycles), with transitions triggered by local ...
Alejandro S. Gómez, Javier del Pino
doaj   +1 more source

Counting and Discrete Morse Theory

UF Journal of Undergraduate Research, 2019
We examine enumerating discrete Morse functions on graphs up to equivalence by gradient vector fields and by restrictions on the codomain.  We give formulae for the number of discrete Morse functions on specific classes of graphs (line, cycle, and bouquet of circles).
openaire   +2 more sources

Discrete Morse theory on graphs

Topology and its Applications, 2009
Discrete Morse theory is originally introduced by R. Forman as a discrete analogue of classical Morse theory to study homotopy properties of finite CW-complexes. In [\textit{R. Ayala}, \textit{L. M. Fernández}, and \textit{J. A. Vilches}, ``Discrete Morse inequalities on infinite graphs'', Electron. J. Comb. 16, No. 1, Research Paper R38, 11p.
Ayala, R., Fernández, L.M., Fernández-Ternero, D., Vilches, J.A.   +3 more
openaire   +2 more sources