Results 1 to 10 of about 210,642 (169)

Symmetric Logarithmic Derivative of Fermionic Gaussian States [PDF]

open access: yesEntropy, 2018
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.
Angelo Carollo   +2 more
doaj   +6 more sources

Logarithmic derivations associated to line arrangements [PDF]

open access: yesJournal of Algebra, 2021
In this paper we give full classification of rank 3 line arrangements in $\mathbb P^2$ (over a field of characteristic 0) that have a minimal logarithmic derivation of degree 3. The classification presents their defining polynomials, up to a change of variables, with their corresponding affine pictures.
Burity, Ricardo, Tohǎneanu, Ştefan O.
openaire   +2 more sources

DERIVED LOGARITHMIC GEOMETRY I [PDF]

open access: yesJournal of the Institute of Mathematics of Jussieu, 2014
In order to develop the foundations of derived logarithmic geometry, we introduce a model category of logarithmic simplicial rings and a notion of derived log-étale maps, and use them to define derived log stacks.
Sagave, S.   +3 more
openaire   +4 more sources

Fractional Scale Calculus: Hadamard vs. Liouville

open access: yesFractal and Fractional, 2023
A general fractional scale derivative is introduced and studied. Its relation with the Hadamard derivatives is established and reformulated. A new derivative similar to the Grünwald–Letnikov’s is deduced. Tempered versions are also introduced.
Manuel D. Ortigueira, Gary W. Bohannan
doaj   +1 more source

Variable-Order Fractional Scale Calculus

open access: yesMathematics, 2023
General variable-order fractional scale derivatives are introduced and studied. Both the stretching and the shrinking cases are considered for definitions of the derivatives of the GL type and of the Hadamard type.
Duarte Valério, Manuel D. Ortigueira
doaj   +1 more source

A Series Expansion of a Logarithmic Expression and a Decreasing Property of the Ratio of Two Logarithmic Expressions Containing Sine

open access: yesMathematics, 2023
In the paper, by virtue of a derivative formula for the ratio of two differentiable functions and with the help of a monotonicity rule, the authors expand a logarithmic expression involving the sine function into the Maclaurin power series in terms of ...
Xin-Le Liu, Hai-Xia Long, Feng Qi
doaj   +1 more source

Logarithmic derivatives of Artin -functions [PDF]

open access: yesCompositio Mathematica, 2013
AbstractLet $K$ be a number field of degree $n$, and let $d_K$ be its discriminant. Then, under the Artin conjecture, the generalized Riemann hypothesis and a certain zero-density hypothesis, we show that the upper and lower bounds of the logarithmic derivatives of Artin $L$-functions attached to $K$ at $s=1$ are $\log \log |d_K|$ and $-(n-1) \log \log
Cho, Peter J., Kim, Henry H.
openaire   +2 more sources

The neutrosophic differentials calculus [PDF]

open access: yesNeutrosophic Sets and Systems, 2022
the purpose of this article is to study the neutrosophic differentials and rules of the neutrosophic derivative, Where the neutrosophic differentiable is defined, and properties of neutrosophic differentiation are introduced, where we discussed how to ...
Yaser Ahmad Alhasan
doaj   +1 more source

A series expansion of a logarithmic expression and a decreasing property of the ratio of two logarithmic expressions containing cosine

open access: yesOpen Mathematics, 2023
In this study, by virtue of a derivative formula for the ratio of two differentiable functions and with aid of a monotonicity rule, the authors expand a logarithmic expression involving the cosine function into the Maclaurin power series in terms of ...
Li Yan-Fang, Qi Feng
doaj   +1 more source

Non-topological logarithmic corrections in minimal gauged supergravity

open access: yesJournal of High Energy Physics, 2022
We compute the logarithmic correction to the entropy of asymptotically AdS4 black holes in minimal N $$ \mathcal{N} $$ = 2 gauged supergravity. We show that for extremal black holes the logarithmic correction computed in the near horizon geometry agrees ...
Marina David   +3 more
doaj   +1 more source

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