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Framework for In Silico Toxicity Screening of Novel Odorants [PDF]
ToxicsToxicological risk assessment of chemicals without experimental toxicity data often relies on in silico predictions. However, models designed to predict inhalation toxicity associated with exposure to volatile chemicals in solution are unavailable.
Isaac Mohar +3 more
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Cramer’s rule for some quaternion matrix equations [PDF]
Applied Mathematics and Computation, 2010 13 ...
Ivan I Kyrchei
exaly +4 more sources
A note on a generalized Cramer's rule
Linear Algebra and Its Applications, 2002 Cramer's rule generalized by \textit{Z. Gong} and \textit{M. Aldeen} [Control Theory Adv. Tech. 10, No. 4, part 4, 1833-1841 (1995; MR 96j:93004)] is proved. In the case of \(m=k=1\) this proof is reduced to that by \textit{S. M. Robinson} [Math. Mag. 43, 94-95 (1970; Zbl 0194.34003)].
L Elsner
exaly +3 more sources
A Generalization of Cramer’s Rule
Advances in Linear Algebra & Matrix Theory, 2015 In this paper, we find two formulas for the solutions of the following linear equation , where is a real matrix. This system has been well studied since the 1970s. It is known and simple proven that there is a solution for all if, and only if, the rows of A are linearly independent, and the minimum norm solution is given by the Moore-Penrose inverse ...
Hugo Leiva
exaly +3 more sources
An Earlier Date for “Cramer's Rule”
Historia Mathematica, 1999 The author justifies the claim made by the historian Carl Boyer that Cramer's rule for the solution of a set of linear equations was known to Colin MacLaurin (1698-1746) by 1729. His evidence comes from MacLaurin's Nachlass, which contains a transcription made that year of his `treatise of algebra, which was to appear in print posthumously, in 1748 ...
exaly +3 more sources
A direct method to calculate characteristic forms
Partial Differential Equations in Applied Mathematics, 2022 We propose a method to obtain characteristic curves, Riemann variables, and characteristic forms for a partial differential system of hyperbolic waves and a first order quasi-linear partial differential equations. The method is based on a construction of
Junrong Liu
doaj +1 more source
Passive Joint Emitter Localization with Sensor Self-Calibration
Remote Sensing, 2023 This paper studies the problem surrounding distributed passive arrays (sensors) locating multiple emitters while performing self-calibration to correct possible errors in the assumed array directions.
Guangbin Zhang +5 more
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The Cramer—Rao Inequality to Improve the Resolution of the Least-Squares Method in Track Fitting
Instruments, 2020 The Cramer−Rao−Frechet inequality is reviewed and extended to track fitting. A diffused opinion attributes to this inequality the limitation of the resolution of the track fits with the number N of observations.
Gregorio Landi, Giovanni E. Landi
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Hellinger Information Matrix and Hellinger Priors
Entropy, 2023 Hellinger information as a local characteristic of parametric distribution families was first introduced in 2011. It is related to the much older concept of the Hellinger distance between two points in a parametric set.
Arkady Shemyakin
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Cramer-Rao Bounds of Localization Estimation for Integrated Radar and Communication System
IEEE Access, 2020 Instead of only considering the radar estimation error in the traditional radar system (TRS), for the integrated radar and communication system (IRCS), we investigate the Cramer-Rao bound (CRB) of the localization estimation, which is influenced by both ...
Tuanwei Tian, Xiaolin Du, Guchong Li
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