Results 51 to 60 of about 1,124 (219)
An Effective Physics‐Informed Neural Operator Framework for Predicting Wavefields
Journal of Geophysical Research: Machine Learning and Computation, Volume 3, Issue 2, April 2026.Abstract Solving the wave equation is fundamental for many geophysical applications. However, numerical solutions of the Helmholtz equation face significant computational and memory challenges. Therefore, we introduce a physics‐informed convolutional neural operator (CNO) (PICNO) to solve the Helmholtz equation efficiently.
X. Ma, T. Alkhalifah
wiley +1 more source
Linear Algebra and its Applications, 2000 Recently a definition of Hankel determinants \(H^n_k\) with entries in a finite-dimensional real vector space was given in terms of designants and Clifford algebra. Sylvester's identity can still be used for computing these determinants recursively, but the aim of this paper is to present a more efficient method avoiding the use of the Clifford algebra
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Rational points in a family of conics over F2(t)$\mathbb {F}_2(t)$
Mathematische Nachrichten, Volume 299, Issue 3, Page 496-513, March 2026.Abstract Serre famously showed that almost all plane conics over Q$\mathbb {Q}$ have no rational point. We investigate versions of this over global function fields, focusing on a specific family of conics over F2(t)$\mathbb {F}_2(t)$ which illustrates new behavior.
Daniel Loughran, Judith Ortmann
wiley +1 more source
COEFFICIENT INEQUALITY FOR MULTIVALENT BOUNDED TURNING FUNCTIONS OF ORDER α
Проблемы анализа, 2016 The objective of this paper is to obtain the sharp upper bound to the H_2(p + 1), second Hankel determinant for p-valent (multivalent) analytic bounded turning functions (also called functions whose derivatives have positive real parts) of order α (0 ≤ α
D. Vamshee Krishna, T. RamReddy
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Estimates for Analytic Functions Connected with Hankel Determinant
Ukrainian Mathematical Journal, 2021 UDC 517.5 We give an upper bound of Hankel determinant of the first order for the classes of an analytic function. In addition, an evaluation with the Hankel determinant from below will be given for the second angular derivative of analytic function. For new inequalities, the results of Jack's lemma and Hankel determinant were used.
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Magnetic Resonance in Medicine, Volume 95, Issue 3, Page 1336-1344, March 2026.ABSTRACT Purpose The purpose of this study was to investigate the effect of magnetization exchange on the measurement of tryptophan and NAD+ T1 relaxation times and to determine the magnetization exchange rates with a two‐spin system model using downfield 1H MRS spectroscopy at 7 T in human brain.
Sophia Swago +5 more
wiley +1 more source
Hankel determinants for some common lattice paths
Advances in Applied Mathematics, 2008 For a single value of $\ell$, let $f(n,\ell)$ denote the number of lattice paths that use the steps $(1,1)$, $(1,-1)$, and $(\ell,0)$, that run from $(0,0)$ to $(n,0)$, and that never run below the horizontal axis. Equivalently, $f(n,\ell)$ satisfies the quadratic functional equation $F(x) = \sum_{n\ge 0}f(n,\ell) x^n = 1+x^{\ell}F(x)+x^2F(x)^2.$ Let ...
Sulanke, Robert A., Xin, Guoce
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NMR in Biomedicine, Volume 39, Issue 3, March 2026.We use synthetic (Aim 1), human brain (Aim 2) and phantom (Aim 3) data to assess how basis set choice affects Glu, tCr, tNAA and tCho quantification, focusing on the bias–variance trade‐off under varying SNR conditions. Including GABA, GSH, NAAG and glucose improved Glu estimates, reducing bias and variance below 10%.
Polina Emeliyanova +3 more
wiley +1 more source
Sharp Estimates of Hermitian Toeplitz Determinants for Some Subclasses of Sakaguchi Type Function Related to Sine Function [PDF]
Sahand Communications in Mathematical AnalysisHermitian Toeplitz determinants are utilized across various fields, such as functional analysis, applied mathematics, physics, and technical sciences. This paper establishes a link with specific subclasses of analytic functions. Extensive research exists
Sangarambadi Padmanabhan Vijayalakshmi +2 more
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Starlikeness Associated with the Van Der Pol Numbers
Mathematics, 2023 In this paper, we define a subclass of starlike functions associated with the Van der Pol numbers. For this class, we derive structural formula, radius of starlikeness of order α, strong starlikeness, and some inclusion results.
Mohsan Raza +5 more
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