Polynomial computation of Hankel singular values [PDF]
A revised and improved version of a polynomial algorithm is presented. It was published by N.J. Young (1990) for the computation of the singular values and vectors of the Hankel operator defined by a linear time-invariant system with a rotational ...
Kwakernaak, Huibert
core +1 more source
Predicting Atomic Charges in MOFs by Topological Charge Equilibration
An atomic charge prediction method is presented that is able to accurately reproduce ab‐initio‐derived reference charges for a large number of metal–organic frameworks. Based on a topological charge equilibration scheme, static charges that fulfill overall neutrality are quickly generated.
Babak Farhadi Jahromi +2 more
wiley +1 more source
Elevating Variational Quantum Semidefinite Programs for Polynomial Objectives [PDF]
Many practically important NP-hard optimization problems are inherently higher-order polynomial optimizations, which are typically addressed using approximation algorithms.
Iria W. Wang +5 more
doaj +1 more source
Hydrodynamics-based functional forms of activity metabolism: a case for the power-law polynomial function in animal swimming energetics. [PDF]
The first-degree power-law polynomial function is frequently used to describe activity metabolism for steady swimming animals. This function has been used in hydrodynamics-based metabolic studies to evaluate important parameters of energetic costs, such ...
Anthony Papadopoulos
doaj +1 more source
Cardiac‐Derived ECM Microspheres for Enhanced hiPSC‐CMs Maturation
Cardiac extracellular matrix microspheres derived from decellularized porcine heart provide a biomimetic 3D microenvironment for human induced pluripotent stem cell–derived cardiomyocytes (hiPSC‐CMs). This platform supports short‐ and long‐term culture, enhances structural organization, and promotes electrophysiological and functional maturation of ...
Jiazhu Xu +9 more
wiley +1 more source
Imaging of Biphoton States: Fundamentals and Applications
Quantum states of two photons exhibit a rich polarization and spatial structure, which provides a fundamental resource of strongly correlated and entangled states. This review analyzes the physics of these intriguing properties and explores the various techniques and technologies available to measure them, including the state of the art of their ...
Alessio D'Errico, Ebrahim Karimi
wiley +1 more source
Planar Polynomial Differential Systems of Degree One: Full Characterization of Its First Integrals
In this work, we classify the first integrals of all planar polynomial differential systems of degree one with real constant coefficients. Additionally, we characterize when these first integrals are either polynomial, or rational, or nonalgebraic.
Bilal Ghermoul
doaj +1 more source
New Quasi-Coincidence Point Polynomial Problems
Let F:ℝ×ℝ→ℝ be a real-valued polynomial function of the form F(x,y)=as(x)ys+as-1(x)ys-1+⋯+a0(x), where the degree s of y in F(x,y) is greater than or equal to 1.
Yi-Chou Chen, Hang-Chin Lai
doaj +1 more source
More on zeros and approximation of the Ising partition function
We consider the problem of computing the partition function $\sum _x e^{f(x)}$ , where $f: \{-1, 1\}^n \longrightarrow {\mathbb R}$ is a quadratic or cubic polynomial on the Boolean cube $\{-1, 1\}^n$ .
Alexander Barvinok, Nicholas Barvinok
doaj +1 more source
Homogeneous Polynomial Solutions to Constant Coefficient PDE's
Given any field \(K\) and a polynomial \(p\in K[X]= K[X_1,\dots,X_n]\), the differential operator \(p(D)\) on \(K[X]\) is defined by substituting \(\partial/\partial x_i\) for the variable \(X_i\). For the case that \(K\) is algebraically closed for characteristic 0, and \(p\) is homogeneous, the set of homogeneous solutions of the PDE \(p(D)=0\) is ...
openaire +1 more source

