Results 71 to 80 of about 5,469 (233)
ALGEBRAIC KERNEL FUNCTIONS AND REPRESENTATION OF PLANAR DOMAINS [PDF]
Journal of the Korean Mathematical Society, 2003 The authors study the non-degenerate \(n\)-connected canonical domains with \(n > 1\) related to the conjecture of \textit{S.~Bell} [Duke Math. J. 98, 187--207 (1999; Zbl 0948.30015)]. These domains are connected to the algebraic property of the Bergman kernel and the Szegö kernel. S.
Jeong, Moonja, Taniguchi, Masahiko
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A goodness‐of‐fit test for regression models with discrete outcomes
Canadian Journal of Statistics, EarlyView.Abstract Regression models are often used to analyze discrete outcomes, but classical goodness‐of‐fit tests such as those based on the deviance or Pearson's statistic can be misleading or have little power in this context. To address this issue, we propose a new test, inspired by the work of Czado et al.
Lu Yang +2 more
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Self‐Similar Blowup for the Cubic Schrödinger Equation
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We give a rigorous proof for the existence of a finite‐energy, self‐similar solution to the focusing cubic Schrödinger equation in three spatial dimensions. The proof is computer‐assisted and relies on a fixed point argument that shows the existence of a solution in the vicinity of a numerically constructed approximation.
Roland Donninger, Birgit Schörkhuber
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Bispectrality of the Complementary Bannai-Ito Polynomials
Symmetry, Integrability and Geometry: Methods and Applications, 2013 A one-parameter family of operators that have the complementary Bannai-Ito (CBI) polynomials as eigenfunctions is obtained. The CBI polynomials are the kernel partners of the Bannai-Ito polynomials and also correspond to a q→−1 limit of the Askey-Wilson ...
Vincent X. Genest +2 more
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Kinetic Contribution to the Arbitrary Order Odd Frequency Moments of the Dynamic Structure Factor
Contributions to Plasma Physics, EarlyView.ABSTRACT An exact expression is derived for the kinetic contribution to the odd (arbitrary order) frequency moments of the dynamic structure factor via a finite summation that features averages of even (all lower orders) powers of the momentum over the exact momentum distribution.
Panagiotis Tolias +2 more
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How (not) to Cage an Electron: The Perfluoro Cage Effect as an Extrinsic Molecular Property
Helvetica Chimica Acta, EarlyView.A rigorous definition within Kohn–Sham density functional theory is presented for the notion of an caged electron inside perfluorinated fullerenes as radical anions. ABSTRACT The notion of a (molecular) electron cage was coined for the unique hosting capacity of perfluorocubane, suggesting the “encapsulation of an electron” within the highly symmetric ...
Andreas Riedmiller +2 more
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Linear geometric algebra rotor estimator for efficient mesh deformation
IET Cyber-systems and Robotics, 2020 The authors solve the problem of estimating the best rotation aligning two sets of corresponding vectors (also known as Wahba's problem or point cloud registration).
Jin Wu +3 more
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Congruence kernels of orthomodular implication algebras
Discrete Mathematics, 2008 Orthomodular implication algebras are algebras \({\mathcal A} = (A, \cdot, 1)\) satisfying axioms (expressed by identities) obtained by abstracting from certain properties of the classical implication in Boolean algebras. The authors prove that the variety of orthomodular implication algebras is weakly regular (i.e.
Chajda, Ivan +2 more
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Mathematical Methods in the Applied Sciences, EarlyView.We develop a full randomization of the classical hyper‐logistic growth model by obtaining closed‐form expressions for relevant quantities of interest, such as the first probability density function of its solution, the time until a given fixed population is reached, and the population at the inflection point.
Juan Carlos Cortés +2 more
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Mathematical Methods in the Applied Sciences, EarlyView.A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay +2 more
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