Results 71 to 80 of about 40,026 (194)
A Re‐Examination of Foundational Elements of Cosmology
ABSTRACT This paper undertakes a conceptual re‐examination of several foundational elements of cosmology through the lens of spacetime symmetries. A new derivation of the Friedmann–Lemaître–Robertson–Walker metric is obtained by a careful conceptual examination of rotations and translations on generic manifolds, followed by solving the rotational and ...
Lavinia Heisenberg
wiley +1 more source
Leibniz algebras of dimension 3 over finite fields
The first thing in the study of all types of algebras is the description of algebras having small dimensions. Unlike the simpler cases of 1- and 2-dimensional Leibniz algebras, the structure of 3-dimensional Leibniz algebras is more complicated.
V.S. Yashchuk
doaj +1 more source
A Wave Tank Study on Turbulent Transport of a Passive Tracer Above Gravelly Sand Beds
Abstract Exchange processes at the seabed interface have a non‐negligible impact on biogeochemical processes of the sea. Acknowledging this impact on the input of nutrients from the seabed into the water column further entails properly assessing the transport and mixing of these nutrients within the water column.
Helena Stirnweiß +4 more
wiley +1 more source
Calculations on Lie Algebra of the Group of Affine Symplectomorphisms
We find the image of the affine symplectic Lie algebra gn from the Leibniz homology HL⁎(gn) to the Lie algebra homology H⁎Lie(gn). The result shows that the image is the exterior algebra ∧⁎(wn) generated by the forms wn=∑i=1n(∂/∂xi∧∂/∂yi).
Zuhier Altawallbeh
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Leibniz algebras generated by one element, called cyclic, provide simple and illuminating examples of many basic concepts. It is the purpose of this paper to illustrate this fact.
Bugg, Kristin +4 more
openaire +2 more sources
Leibniz algebras constructed by Witt algebras [PDF]
We describe infinite-dimensional Leibniz algebras whose associated Lie algebra is the Witt algebra and we prove the triviality of low-dimensional Leibniz cohomology groups of the Witt algebra with the coefficients in itself.
L. M. Camacho +2 more
openaire +4 more sources
Abstract Column‐integrated moist static energy (MSE) budgets underpin theories of tropical convection and circulation, yet in reanalyses and climate models the budget rarely closes; residuals routinely match the leading terms and mask physical insights.
Kuniaki Inoue +4 more
wiley +1 more source
Entropy as a Metric Generator of Dissipation in Complete Metriplectic Systems
This lecture is a short review on the role entropy plays in those classical dissipative systems whose equations of motion may be expressed via a Leibniz Bracket Algebra (LBA). This means that the time derivative of any physical observable f of the system
Massimo Materassi
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Abstract Number theory for positive characteristic contains analogues of the special values that were introduced by Carlitz; these include the Carlitz gamma values and Carlitz zeta values. These values were further developed to the arithmetic gamma values and multiple zeta values by Goss and Thakur, respectively.
Ryotaro Harada, Daichi Matsuzuki
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Higher Dimensional Leibniz-Rinehart Algebras
In this article, we delve into the realm of higher dimensional Leibniz-Rinehart algebras, exploring the intricate structures of Leibniz algebroids and their applications.
Mahmut Koçak, Selim Çetin
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