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By using the three-term recurrence relation for orthogonal polynomials, we produce a collection of two-dimensional contiguous relations for certain generalized hypergeometric functions. These generalized hypergeometric functions arise through linearization
Category theory (CT) is a branch of mathematics concerned with the representation and composition of structured relationships. Recent interest in systems engineering (SE) stems from the possibility that CT might provide a principled mathematical foundation
A Coulomb force parametric generator (CFPG) can be used to harvest energy from the natural human body motion. This micro-harvester is the architecture of choice for integration with small wearable (or implantable) sensors. In this paper, an asymmetric
Miranda Mundt, Jonathan Bisila, Jonathan E. Guyer, Daniel Howard, Daniel S. Katz, Reed Milewicz, Henry Schreiner, Joshua Teves, Chris Wiswell
The explosion of Research Software Engineers (RSEs) in the United States created the opportunity to form communities of practice (CoP), groups which share a passion for an activity and learn how to do it better as they interact regularly, specifically to
Howard Cohl, Philbert Hwang, Roberto S. Costas-Santos
We derive generalized generating functions for basic hypergeometric orthogonal polynomials by applying connection relations with one extra free parameter to them. In particular, we generalize generating functions for the continuous q-ultraspherical/Rogers
Jacob Fabro, Gregory W. Vogl, Yongzhi Qu, Reese Eischens
Data-driven modeling of dynamical systems has drawn much research attention recently, with the goal of approximating the underlying governing rules of a dynamical system with data-driven differential equations. Many real-world dynamical systems can be
We derive a theoretically guaranteed compressive sensing method for acoustic field reconstructions using spherical field measurements on a predefined grid. This method can be used to reconstruct sparse band-limited spherical harmonic or Wigner $D$-function
Zheliang Wang, Ojaswi Agarwal, Jonathan Seppala, Kevin hemker, Thao Nguyen
The tear test is widely used to measure the fracture toughness of thin rubbers sheets and polymer films. More recently, the tear test has been applied to polymer materials produced by melt extrusion additive manufacturing to measure the fracture toughness
Nathan Mahynski, Bliss Han, Daniel Markiewitz, Vincent K. Shen
We describe a method for deriving surface functionalization patterns for colloidal systems that can induce self-assembly into any chosen periodic symmetry at a planar interface. The result is a sequence of letters, s ∈ A,T,C,G}, or a gene, that describes
The application of machine learning to the materials domain has traditionally struggled with two major challenges: a lack of large, curated data sets and the need to understand the physics behind the machine-learning prediction. The former problem is
Zhuo Yang, Yan Lu, Milica Perisic, Yande Ndiaye, Adnan Gujjar, Fan-Tien Cheng, Haw-Ching Yang
In-situ measurements provide vast information for additive manufacturing process understanding and real-time control. Data from various monitoring techniques observes different characteristics of a build process. Fusing multi-modal in-situ monitoring data
Xing Liu, Wei Yu, Cheng Qian, David W. Griffith, Nada T. Golmie
The interconnection and digitization of the physical world has increased dramatically with the widespread deployment of network communication and the rapid development of the Internet of Things (IoT). Application scenarios and requirements in IoT are more
In this paper, we explore the symmetric nature of the terminating basic hypergeometric series representations of the Askey–Wilson polynomials and the corresponding terminating basic hypergeometric transformations that these polynomials satisfy. In
Mark-Alexander Henn, Klaus Natorf Quelhas, Thinh Bui, Solomon I. Woods
Image reconstruction is an integral part ofMagnetic Particle Imaging (MPI). Over the last years, several methods have been proposed for reconstructing MPI images more efficiently and accurately. One major challenge for model-based MPI image reconstruction
Howard Cohl, James F. Lawrence, Lisa Ritter, Jessie Hirtenstein
On even-dimensional Euclidean space for integer powers of the positive Laplace operator greater than or equal to half the dimension, a fundamental solution of the polyharmonic equation has binomial and logarithmic behavior. Gegenbauer polynomial expansions