LAUSR

Distribution of the logarithmic derivative of a rational function on the line

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1 Published in 2020 at "Acta Mathematica Hungarica"

DOI: 10.1007/s10474-020-01102-w

Abstract: We prove that for an arbitrary real rational function r of degree n , a measure of the set $$\{x\in \mathbb{R}: |r'(x)/r(x)|\ge n\}$$ { x ∈ R : | r ′ ( x ) /… read more here.

Keywords: line; logarithmic derivative; derivative rational; function ... See more keywords

Radio-frequency dielectric relaxation behavior of selected vegetable tissues: Spectra analysis with logarithmic derivative method and simulation with double-shell model

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0 Published in 2020 at "Journal of Food Engineering"

DOI: 10.1016/j.jfoodeng.2020.109914

Abstract: Abstract The dielectric relaxation behaviors in the radio-frequency range, where β - relaxation is predominant, of flesh tissues of several vegetables are studied in this work. By taking advantage of the logarithmic derivative method, three… read more here.

Keywords: relaxation; dielectric relaxation; frequency; radio frequency ... See more keywords

DOUBLING TROPICAL $q$ -DIFFERENCE ANALOGUE OF THE LEMMA ON THE LOGARITHMIC DERIVATIVE

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0 Published in 2018 at "Bulletin of the Australian Mathematical Society"

DOI: 10.1017/s0004972718000953

Abstract: We present a tropical $q$ -difference analogue of the lemma on the logarithmic derivative for doubling tropical meromorphic functions. read more here.

Keywords: analogue lemma; doubling tropical; lemma logarithmic; logarithmic derivative ... See more keywords

Maximum logarithmic derivative bound on quantum state estimation as a dual of the Holevo bound

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1 Published in 2021 at "Journal of Mathematical Physics"

DOI: 10.1063/5.0047496

Abstract: In quantum estimation theory, the Holevo bound is known as a lower bound of weighed traces of covariances of unbiased estimators. The Holevo bound is defined by a solution of a minimization problem, and in… read more here.

Keywords: maximum logarithmic; holevo bound; bound; logarithmic derivative ... See more keywords

Symmetric Logarithmic Derivative of Fermionic Gaussian States

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0 Published in 2018 at "Entropy"

DOI: 10.3390/e20070485

Abstract: In this article, we derive a closed form expression for the symmetric logarithmic derivative of Fermionic Gaussian states. This provides a direct way of computing the quantum Fisher Information for Fermionic Gaussian states. Applications range… read more here.

Keywords: symmetric logarithmic; gaussian states; logarithmic derivative; derivative fermionic ... See more keywords