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Recurrent neural network wave functions [PDF]
A core technology that has emerged from the artificial intelligence revolution is the recurrent neural network (RNN). Its unique sequence-based architecture provides a tractable likelihood estimate with stable training paradigms, a combination that has ...
Mohamed Hibat-Allah +4 more
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On Third-Order Linear Recurrent Functions
A function ψ:R→R is said to be a Tribonacci function with period p if ψ(x+3p)=ψ(x+2p)+ψ(x+p)+ψ(x), for all x∈R. In this paper, we present some properties on the Tribonacci functions with period p. We show that if ψ is a Tribonacci function with period p,
Kodjo Essonana Magnani
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Recurrent relations for correlation functions
We have considered the basic problem of the mathematical description of the viscous motion of a metallic melt, accompanied by the overcoming of internal friction caused by the motion of the melt particles and the overcoming of the forces of their ...
S.Sh. Kazhikenova +3 more
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Recurrent identities for two special functions of hypergeometric type
The article presents conclusions and proofs of Gauss-type identities for two known hypergeometric type functions. For the derivation and justification of formulas, the representation of functions in the form of a series is used, as well as an integral ...
Svetlana V. Podkletnova
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Recurrence Relations for Orthogonal Functions [PDF]
When µ is a finite (positive) Borel measure with infinite support on T or R (with suitable restrictions), positive definite functionals M (and thereby positive definite inner products) are defined through M(f)=∫_{-π..π}f(e^{it})dµ(t) in the circle-disk situation, and M(f)=∑_{-∞..∞}f(t)dµ(t) in the line-plane situation.
Bultheel, Adhemar +3 more
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Eigenpairs for the Analysis of Complete Lyapunov Functions
A complete Lyapunov function describes the qualitative behaviour of a dynamical system: the areas where the orbital derivative vanishes and where it is strictly negative characterise the chain recurrent set and the gradient-like flow, respectively ...
Carlos Argáez +2 more
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Generalized Almost Periodicity in Lebesgue Spaces with Variable Exponents
In this paper, we introduce and analyze Stepanov uniformly recurrent functions, Doss uniformly recurrent functions and Doss almost-periodic functions in Lebesgue spaces with variable exponents.
Marko Kostić, Wei-Shih Du
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GCRNN: graph convolutional recurrent neural network for compound–protein interaction prediction
Background Compound–protein interaction prediction is necessary to investigate health regulatory functions and promotes drug discovery. Machine learning is becoming increasingly important in bioinformatics for applications such as analyzing protein ...
Ermal Elbasani +5 more
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Delta-functions on recurrent random walks
If a random walk on a countable infinite state space is reversible, there are known necessary and sufficient conditions for the walk to be recurrent. When the condition of reversibility is dropped, by using discrete Dirichlet solutions and balayage (concepts familiar in potential theory) one could partially retrieve some of the above results concerning
Manivannan, Varadha Raj +1 more
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Cellular Functions of High-Temperature Requirement Factor A4 in Placenta
The expression of High-temperature requirement factor A4 (HtrA4) mRNA is significantly lower in the chorionic villi of patients with recurrent pregnancy loss (RPL) than in the control group.
Chang-Zhu Pei +8 more
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