Results 231 to 240 of about 546,655 (283)

Estimation of Underlying Normal Distribution Parameters From Dichotomized Data

open access: yesBiometrical Journal, Volume 68, Issue 5, October 2026.
ABSTRACT Accurately estimating the parameters of a continuous distribution from dichotomized or aggregated data is a common problem in biomedical and environmental research. Many studies report only the proportion of subjects exceeding a threshold, without releasing individual‐level measurements.
Zhaoze Liu   +4 more
wiley   +1 more source

On The Attainable Eigenvalues of the Laplace Operator

SIAM Journal on Mathematical Analysis, 1999
Summary: We consider the subset \(E\) of \(\mathbb{R}^2\) of all points whose first and second components, respectively, coincide with the first and second eigenvalues of the Laplace operator \(-\Delta\) with zero boundary conditions on domains of \(\mathbb{R}^N\) with prescribed measure. We show that the set \(E\) is closed in \(\mathbb{R}^2\).
Dorin Bucur, Giuseppe Buttazzo
exaly   +3 more sources

The Laplace Operator

2018
The fundamental properties of harmonic and subharmonic functions are given together with maximum principles, the representation of solutions of the Poisson equation, Weyl’s lemma and Perron’s method for proving existence of solutions of the Dirichlet problem.
David E. Edmunds, W. Desmond Evans
openaire   +1 more source

Discrete Laplace operators

ACM SIGGRAPH ASIA 2008 courses on - SIGGRAPH Asia '08, 2008
Discrete Laplace operators are ubiquitous in applications spanning geometric modeling to simulation. For robustness and efficiency, many applications require discrete operators that retain key structural properties inherent to the continuous setting. Building on the smooth setting, we present a set of natural properties for discrete Laplace operators ...
Max Wardetzky   +3 more
openaire   +1 more source

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