Results 31 to 40 of about 5,320 (265)

Inverse Measures, the Inversion Formula, and Discontinuous Multifractals

Advances in Applied Mathematics, 1997
The authors introduce the notion of the inverse measure \(\mu^*\) to a given probability measure \(\mu\) on the unit interval \([0,1]\) in a language adopted for the physicist. If \(M\) is the distribution function of \(\mu\), requiring additionally \(M\) to be strictly increasing, then the inverse function \(M^*\) to \(M\) is also a distribution ...
Mandelbrot, Benoit, Riedi, Rudolf H.
openaire   +2 more sources

New Results for Certain Jacobsthal-Type Polynomials

Mathematics
This paper investigates a class of Jacobsthal-type polynomials (JTPs) that involves one parameter. We present several new formulas for these polynomials, including expressions for their derivatives, moments, and linearization formulas.
Waleed Mohamed Abd-Elhameed, Omar Mazen Alqubori, Amr Kamel Amin   +2 more
doaj   +1 more source

MULTIPLE FOURIER SERIES AND FOURIER INTEGRALS WITH NON-SEPARABLE VARIABLES

Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2020
Background. Integral transforms for functions of several variables are an actively developing area of mathematical analysis. Numerous applications in integral transforms method for solving equations of mathematical physics, in signal processing of ...
O. E. Yaremko, N. N. Yaremko, E. S. Mogileva   +2 more
doaj   +1 more source

Molecular dynamics simulations of positively selected codons in FcγRI reveal novel biochemical binding properties

FEBS Open Bio, EarlyView.
Evolutionary analysis across 32 placental mammals identified positive selection at residues H148 and W149 in the immune receptor FcγR1. Ancestral reconstruction combined with molecular dynamics simulations reveals how these mutations may influence receptor structure and dynamics, providing insight into the evolution of antibody recognition and immune ...
David A. Young, Omar Arias‐Gaguancela, Fiona Gibson, Morgan Grainger, Jodie Score, Amit Nathubhai, Mauricio Cafiero, Lee Richard Machado   +7 more
wiley   +1 more source

A Simple Model for the Thermal Noise of Saturated MOSFETs at All Inversion Levels

IEEE Journal of the Electron Devices Society, 2017
We propose a single formula for the channel thermal noise of saturated long-channel MOSFETs operating in weak, moderate, and strong inversion. Our approach is based on a novel interpolation of well-known analytical formulas known to be valid in weak and ...
Soumyajit Mandal, Rahul Sarpeshkar
doaj   +1 more source

Choroid Plexus Enlargement and USPIO‐Based Inflammatory Feature in Cerebral Small Vessel Disease

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective The choroid plexus (CP) is a key component of the blood–cerebrospinal fluid barrier (BCSFB), but its mechanism of action in cerebral small vessel disease (CSVD) remains unclear. This study investigated CP volume (CPV) alterations and their association with conventional imaging markers in CSVD and explored the underlying role of ...
Yongqiang Qu, Xiaoning Ren, Cuihua Fan, Chun Li, Lijie Zhang, Zaiqiang Zhang, Shaowu Li, Zhongmeng Lai, Bin Cai, Ying Fu, Yi Lin, Zhibao Zhu   +11 more
wiley   +1 more source

Inversion Formulas for the Dunkl Intertwining Operator and Its Dual on Spaces of Functions and Distributions

Symmetry, Integrability and Geometry: Methods and Applications, 2008
In this paper we prove inversion formulas for the Dunkl intertwining operator $V_k$ and for its dual $^tV_k$ and we deduce the expression of the representing distributions of the inverse operators $V_k^{−1}$ and $^tV_k^{−1}$, and we give some ...
Khalifa Trimèche
doaj   +1 more source

Observer‐Based Adaptive Event‐Triggered Tracking Control for Fuzzy TS Systems With Premise Mismatch

International Journal of Adaptive Control and Signal Processing, EarlyView.
This paper presents an adaptive logistic event‐triggered observer‐based tracking controller for Takagi‐Sugeno fuzzy systems under constrained inputs and network delays. Leveraging a hybrid LMI and Secretary Bird Optimization approach, this strategy significantly minimizes communication overhead and computational burden while ensuring optimal reference ...
Oussama Djadane, Salama Makni, Mourad Kchaou, Ahmed El Hajjaji   +3 more
wiley   +1 more source

Is an Apple an Orange? A Large Language Model Benchmark for Candidate Term Extraction and Subclass Decisions Against Upper Ontologies in Engineering and Materials Science

Advanced Engineering Materials, EarlyView.
Building machine‐readable vocabularies for materials science is slow, expert‐driven work. This study benchmarks 13 large language models on two of its first steps: finding candidate terms in engineering articles and deciding where they belong in a class hierarchy.
Thomas Bjarsch, Maximilian Holland, Klaus Drechsler, Johannes Schilp   +3 more
wiley   +1 more source

Reconstruction inversion formulas for the Laguerre Gabor transform

Journal of Numerical Analysis and Approximation Theory
In this paper, we define and study the Gabor transform in the context of the Laguerre hypergroup. We prove some of its basic properties, such as Plancherel theorem, inversion formula and Calder´on’s reproducing inversion formula.
Khaled Hleili, Manel Hleili
doaj   +1 more source