Results 81 to 90 of about 163,100 (319)
J. Integer Seq., 2014 The Cauchy-type product of two arithmetic functions $f$ and $g$ on nonnegative integers is defined as $(f\bullet g)(k):=\sum_{m=0}^{k} {k\choose m}f(m)g(k-m)$. We explore some algebraic properties of the aforementioned convolution, which is a fundamental-characteristic of the identities involving the Bernoulli numbers, the Bernoulli polynomials, the ...
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CoRR, 2019 We present a versatile formulation of the convolution operation that we term a "mapped convolution." The standard convolution operation implicitly samples the pixel grid and computes a weighted sum. Our mapped convolution decouples these two components, freeing the operation from the confines of the image grid and allowing the kernel to process any ...
Marc Eder +4 more
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YIPFα1A expression is regulated by multilayered molecular mechanisms
FEBS Open Bio, EarlyView.YIPFα1A, a five‐pass Golgi protein, is regulated at multiple layers. (1) Rare‐codon enrichment drives translation‐coupled mRNA decay. (2) A proximal 3′‐UTR element stabilizes mRNA. (3) A distal 3′‐UTR element included by alternate poly(A) site usage represses translation, which can be overridden by the proximal 3′‐UTR element.
Tokio Takaji +2 more
wiley +1 more source
Convolution algebra for extended Feller convolution [PDF]
, 2020 We apply the recently introduced framework of admissible homomorphisms in the form of a convolution algebra of C2-valued admissible homomorphisms to handle two-dimensional uni-directional homogeneous stochastic kernels.
Le Roux, Christiaan, Lee, Wha-Suck
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International Journal of Mathematics and Mathematical Sciences, 2000 The construction of Boehmians on a manifold requires a commutative convolution structure. We present such constructions in two specific cases: an N-dimensional torus and an N-dimensional sphere. Then we formulate conditions under which a construction of
Piotr Mikusiński
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FCNet: A feature context network based on ensemble framework for image retrieval
IET Computer Vision, 2022 In order to train an end‐to‐end model for better performance in distinguishing superclasses and make the model more sensitive to inter‐class differences, the authors propose a Feature Context Network (FCNet), a novel ensemble framework for image ...
Siyang Li +7 more
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FEBS Open Bio, EarlyView.The MRP4 transporter exports several drugs and signaling molecules. Here, we identified key promoter elements regulating basal MRP4 expression. Using reporter assays, we defined a conserved region with essential Sp1 and contributory Ets sites, which controlled basal MRP4 expression.
Debora Singer +7 more
wiley +1 more source
On certain classes of close-to-convex functions
International Journal of Mathematics and Mathematical Sciences, 1993 A function f, analytic in the unit disk E and given by , f(z)=z+∑k=2∞anzk is said to be in the family Kn if and only if Dnf is close-to-convex, where Dnf=z(1−z)n+1∗f, n∈N0={0,1,2,…} and ∗ denotes the Hadamard product or convolution.
Khalida Inayat Noor
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Frontiers in Neurorobotics, 2020 Traditionally the Perception Action cycle is the first stage of building an autonomous robotic system and a practical way to implement a low latency reactive system within a low Size, Weight and Power (SWaP) package.
Paul Kirkland +3 more
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Measurement Science Review, 2022 Down syndrome (DS) or Trisomy 21 is a genetic disorder that causes intellectual and mental disability in fetuses. The most essential marker for detecting DS during the first trimester of pregnancy is nuchal translucency (NT).
Thomas Mary Christeena +1 more
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