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Gravity equations are often used to evaluate the effects of trade policies, such as regional trade agreements. We argue that their suitability for this purpose critically depends on their ability to produce unbiased out-of-sample…

General Economics · Economics 2026-04-21 Nicolas Apfel , Holger Breinlich , Nick Green , Dennis Novy , J. M. C. Santos Silva , Tom Zylkin

This paper introduces a novel control approach for network scheduling and routing that is predictive and reliable in its nature, yet builds upon a linear program, making it fast in execution. First, we describe the canonical system model…

Signal Processing · Electrical Eng. & Systems 2018-09-17 Richard Schoeffauer , Gerhard Wunder

We prove an easy but interesting result about the linear independence of multiple zeta values of different weights.

Number Theory · Mathematics 2007-05-23 Sergey Zlobin

For appropriately chosen weights, temporal averages in chaotic systems can be approximated as a weighted sum of averages over reference states, such as unstable periodic orbits. Under strict assumptions, such as completeness of the orbit…

Dynamical Systems · Mathematics 2025-06-23 Joshua L. Pughe-Sanford , Sam Quinn , Teodor Balabanski , Roman O. Grigoriev

Motivated by an earlier work on fractional-action cosmology with a periodic weight function [1], we extend it by choosing a power-law weight function in the action. In this approach, we obtain a varying gravitational coupling constant. We…

General Physics · Physics 2012-03-16 Mubasher Jamil , Muneer A. Rashid , D. Momeni , O. Razina , Kuralay Esmakhanova

Given a bivariate weight function defined on the positive quadrant of $\mathbb{R}^2$, we study polynomials in two variables orthogonal with respect to varying measures obtained by special modifications of this weight function. In…

Classical Analysis and ODEs · Mathematics 2024-09-26 Cleonice F. Bracciali , Antonia M. Delgado , Lidia Fernández , Teresa E. Pérez

A vector composition of a vector $\mathbf{\ell}$ is a matrix $\mathbf{A}$ whose rows sum to $\mathbf{\ell}$. We define a weighted vector composition as a vector composition in which the column values of $\mathbf{A}$ may appear in different…

Combinatorics · Mathematics 2018-08-28 Steffen Eger

Cellular automata (CA) is an important modelling paradigm for complex systems. In the design of cellular automata, the most difficult task is to find the transformation rules that describe the temporal evolution or pattern of a modelled…

Cellular Automata and Lattice Gases · Physics 2023-10-03 Lei Kou , Fangfang Zhang , Luobing Chen , Wende Ke , Quande Yuan , Junhe Wan , Zhen Wang

We present an extension of two policy-iteration based algorithms on weighted graphs (viz., Markov Decision Problems and Max-Plus Algebras). This extension allows us to solve the following inverse problem: considering the weights of the…

Discrete Mathematics · Computer Science 2009-11-18 Laurent Fribourg , Etienne André

Behavioural economics provides labels for patterns in human economic behaviour. Probability weighting is one such label. It expresses a mismatch between probabilities used in a formal model of a decision (i.e. model parameters) and…

Theoretical Economics · Economics 2020-05-04 Ole Peters , Alexander Adamou , Mark Kirstein , Yonatan Berman

Here we introduce the idea of using rational expectations, a core concept in economics and finance, as a tool to predict the optimal failure time for a wide class of weighted k-out-of-n reliability systems. We illustrate the concept by…

Physics and Society · Physics 2021-12-21 Jorgen Vitting Andersen , Roy Cerqueti , Jessica Riccioni

We describe a numerical technique to compute the equilibrium measure, in logarithmic potential theory, living on the attractor of Iterated Function Systems composed of one-dimensional affine maps. This measure is obtained as the limit of a…

Numerical Analysis · Mathematics 2013-11-20 Giorgio Mantica

The problem of interpreting or aggregating multiple rankings is common to many real-world applications. Perhaps the simplest and most common approach is a weighted rank aggregation, wherein a (convex) weight is applied to each input ranking…

Information Retrieval · Computer Science 2022-06-02 Tyler Perini , Amy Langville , Glenn Kramer , Jeff Shrager , Mark Shapiro

With rare exceptions, in high school and college/university physics courses literature and in journals of physics, the weight is defined as a gravitational force or an exclusive consequence of it. These definitions lack logic from the…

Physics Education · Physics 2007-05-23 J. M. L. Figueiredo

We propose a new variable selection procedure for a functional linear model with multiple scalar responses and multiple functional predictors. This method is based on basis expansions of the involved functional predictors and coefficients…

Statistics Theory · Mathematics 2023-11-03 Alban Mina Mbina , Guy Martial Nkiet

The wave function $\psi$ is interpreted as charge density, or charge distribution, at each point in space. This is a physical interpretation of $\psi$. The notion of speed can be associated with $\psi$, which leads to the concept of…

General Physics · Physics 2007-05-23 Koen J. van Vlaenderen

A featured transition system is a transition system in which the transitions are annotated with feature expressions: Boolean expressions on a finite number of given features. Depending on its feature expression, each individual transition…

Formal Languages and Automata Theory · Computer Science 2017-02-28 Uli Fahrenberg , Axel Legay

The scalar and vector potentials of the acceleration field and the pressure field are calculated for the first time for a rotating relativistic uniform system, and the dependence of the potentials on the angular velocity is found. These…

General Physics · Physics 2024-10-24 Sergey G. Fedosin

Using a new Bayesian method for solving inverse quantum problems, potentials of quantum systems are reconstructed from coordinate measurements in non-stationary states. The approach is based on two basic inputs: 1. a likelihood model,…

Quantum Physics · Physics 2007-05-23 J. C. Lemm

We introduce a simple method to estimate the system parameters in continuous dynamical systems from the time series. In this method, we construct a modified system by introducing some constants (controlling constants) into the given…

Chaotic Dynamics · Physics 2009-11-10 P. Palaniyandi , M. Lakshmanan