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Soil erosion is one of the major environmental threats in the northwestern Amhara Region of Ethiopia. The objective of this study is to assess the spatial heterogeneity of soil erosion risk within the Gumara-Maksegnit watershed (57.3 km2) using the ...
Kassaye Gurebiyaw+2 more
doaj +1 more source
Two versions of a specific natural extension [PDF]
We give two versions of the natural extension of a specific greedy beta-transformation with deleted digits. We use the natural extension to obtain an explicit expression for the invariant measure, equivalent to the Lebesgue measure, of this beta-transformation.
arxiv
Disentangling images with Lie group transformations and sparse coding [PDF]
Discrete spatial patterns and their continuous transformations are two important regularities contained in natural signals. Lie groups and representation theory are mathematical tools that have been used in previous works to model continuous image transformations.
arxiv
In 2014, a novel species of Acinetobacter, strain A47, determined to be hospital-acquired was recovered from a single patient soft tissue sample following a traumatic accident.
Sareda T. J. Schramm+13 more
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On Some q-Analogues of the Natural Transform and Further Investigations [PDF]
Some q-analogues of classical integral transforms have recently been investigated by many authors in diverse citations. The q-analogues of the Natural transform are not known nor used. In the present paper, we are concerned with definitions and investigations of the q-theory of the Natural transform and some applications.
arxiv
Evolution of the Natural Transformation Protein, ComEC, in Bacteria
Natural transformation enables the incorporation of exogenous DNA into host genomes and plays a fundamental role in the evolution of microbial populations.
Zachary T. Pimentel, Ying Zhang
doaj +1 more source
Exact solutions of the Laplace fractional boundary value problems via natural decomposition method
In this article, exact solutions of some Laplace-type fractional boundary value problems (FBVPs) are investigated via natural decomposition method. The fractional derivatives are described within Caputo operator.
Hajira+5 more
doaj +1 more source
Diversity in Natural Transformation Frequencies and Regulation across
In Vibrio species, chitin-induced natural transformation enables bacteria to take up DNA from the external environment and integrate it into their genome.
Chelsea A. Simpson+4 more
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A natural extension for the greedy beta-transformation with three deleted digits [PDF]
We give an explicit expression for the invariant measure, absolutely continuous with respect to the Lebesgue measure, of the greedy beta-transformation with three deleted digits. We define a version of the natural extension of the transformation to obtain this expression. We get that the transformation is exact and weakly Bernoulli.
arxiv
A remark on Yoneda's Lemma [PDF]
Yoneda'e Lemma is about the canonical isomorphism of all the natural transformations from a given representable covariant (contravariant, reps.) functor (from a locally small category to the category of sets) to a covariant (contravariant, reps.) functor.
arxiv