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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
We are developing software and data tools which parametrize coarse-grained force-fields in a systematic way while preserving the chemistry, thermodynamics, and dynamics of the underlying atomistic system. Our approach is based on statistical thermodynamics
We describe the utility of integral representations for sums of basic hypergeometric functions. In particular we use these to derive an infinite sequence of transformations for symmetrizations over certain variables which the functions possess. These
Zhelun Chen, Jin Wen, Steven T. Bushby, L James Lo, Zheng O'Neill, Vance (Wm.) Payne, Amanda Pertzborn, Caleb Calfa, Yangyang Fu, Gabriel Grajewski, Yicheng Li, Zhiyao Yang
Accurate simulation of building system dynamics is particularly important for understanding building energy flexibility. Among all dynamics in a building, a zone temperature's variation is especially important, as it significantly affects a building's
We derive an expansion for the fundamental solution of Laplace's equation in flat-ring coordinates in three-dimensional Euclidean space. This expansion is a double series of products of functions that are harmonic in the interior and exterior of "flat
Christina Bergonzo, Alexander Grishaev, Sandro Bottaro
We describe the conformational ensemble of the single-stranded r(UCAAUC) oligonucleotide obtained using extensive molecular dynamics (MD) simulations. The conformations observed in MD consist of A-form-like structures and variations thereof. By comparing
Howard Cohl, Abdou Youssef, Andre Greiner Petter, Moritz Schubotz, Bela Gipp, Akiko Aizawa, Avi Trost, Rajen Dey
Digital Mathematical Libraries assemble the knowledge of years of mathematical research. Numerous disciplines (e.g., physics, engineering, pure and applied mathematics) rely heavily on compendia gathered findings. Likewise, modern research relies more and
Using the direct relation between the Gegenbauer polynomials C_n^λ(x) and the Ferrers function of the first kind P_μ^ν(x), we compute interrelations between certain Jacobi polynomials, Meixner polynomials, and Ferrers functions of the first and second kind
Edward Garboczi, Sumitra Dey, Ahmed Hassan, Deb Chatterjee
Modeling the electromagnetic response of Carbon Nanotube (CNT) reinforced composites is inherently a three dimensional (3D) multi-scale problem that is challenging to solve in real-time for nondestructive evaluation applications. This article presents a
Zachary J. Grey, Susanna Mosleh, Jake Rezac, Yao Ma, Jason Coder, Andrew Dienstfrey
Radio spectrum is a scarce resource. To meet demands, new wireless technologies must operate in shared spectrum over unlicensed bands (coexist). We consider coexistence of Long-Term Evolution (LTE) License-Assisted Access (LAA) with incumbent Wi-Fi systems
Klaus Natorf Quelhas, Mark-Alexander Henn, Thinh Bui, Hunter Wages, Weston L. Tew, Solomon I. Woods
Modeling of Magnetic Particle Imaging (MPI) systems allows for developing and testing novel methods for image reconstruction and simulating various setups without the need of real-life measurement data. Here we describe the the initial development of a C++