Finding and verifying all solutions of a system of nonlinear equations using public domain software: Working paper series--02-14

Economic models are often stated as systems of nonlinear equations, for example general equilibrium models, game theory models, and macroeconomic models. The existence and uniqueness of solutions to the model are critical issues. Interval arithmetic is an arithmetic that operates on interval values rather than point values. It can be used to find all solutions of a system of nonlinear equations over a specified region and to determine if a solution is unique. We present arguments demonstrating that this arithmetic is capable of determining existence and uniqueness. We then use a public domain software package to find all roots of several simple economic example problems

The Influence of Supervisor Race, Gender, Age, and Cohort on Millennials' Job Satisfaction

It is the basic premise of this study that Millennial employees are affected by the interplay of various social identities and in turn affect their organizations through their perceptions of these identities. Utilizing a sample of 1000 Millennials from the NLSY dataset 2007, this study investigates the effects of supervisor demographics of race, gender, age, and cohort and any relational differences in these within the supervisor-subordinate dyad on employee job satisfaction. It is found that supervisor's demographics and the relational differences in these significantly affect Millennials' job satisfaction. The implication of these findings is that organizations must gain insight into Millennial perceptions and their effects

The Network-Enabled Optimization System (NEOS) - a means of solving optimization problems over the Internet.

Many optimization methods are available at the present time. The software that implements a particular method may not be available to all users or the software may require a compiler not readily available to all users. The software may require extensive modifications before it can run on a particular site. The Network--Enabled Optimization System (NEOS) is a system that has been designed to reduce these problems and make high quality optimization methods available to a large number of users. One of the goals of NEOS is to eliminate the need for the user to have extensive programming knowledge. Another goal is to make a large number of computer facilities available to the user. This goal is achieved by permitting optimization problems to be submitted to NEOS over the Internet. NEOS then directs one or more computers to solve the problem. NEOS also uses automatic differentiation. This relieves the user from coding expressions for the derivatives or from risking the approximation error inherent in numerical differentiation. A major accomplishment of the NEOS project is to take advantage of function partial separability when possible. Previously this had been considered quite difficult because of the difficulty in computing derivative information. NEOS use of automatic differentiation has eliminated this problem. This research presents an overview of NEOS and shows how it can be used to optimize econometric functions and other functions.numerical optimization, automatic differentiation, Internet

Employed Women’s Well-Being: The Global and Daily Impact of Work

Alternative work, Multiple roles, Well-being,

Longitudinal Change in Adolescent Depression and Anxiety Symptoms from before to during the COVID-19 Pandemic

This study aimed to examine changes in depression and anxiety symptoms from before to during the first 6 months of the COVID-19 pandemic in a sample of 1,339 adolescents (9-18 years old, 59% female) from three countries. We also examined if age, race/ethnicity, disease burden, or strictness of government restrictions moderated change in symptoms. Data from 12 longitudinal studies (10 U.S., 1 Netherlands, 1 Peru) were combined. Linear mixed effect models showed that depression, but not anxiety, symptoms increased significantly (median increase = 28%). The most negative mental health impacts were reported by multiracial adolescents and those under \u27lockdown\u27 restrictions. Policy makers need to consider these impacts by investing in ways to support adolescents\u27 mental health during the pandemic

Longitudinal Change in Adolescent Depression and Anxiety Symptoms from before to during the COVID-19 Pandemic.

This study aimed to examine changes in depression and anxiety symptoms from before to during the first 6 months of the COVID-19 pandemic in a sample of 1,339 adolescents (9-18 years old, 59% female) from three countries. We also examined if age, race/ethnicity, disease burden, or strictness of government restrictions moderated change in symptoms. Data from 12 longitudinal studies (10 U.S., 1 Netherlands, 1 Peru) were combined. Linear mixed effect models showed that depression, but not anxiety, symptoms increased significantly (median increase = 28%). The most negative mental health impacts were reported by multiracial adolescents and those under 'lockdown' restrictions. Policy makers need to consider these impacts by investing in ways to support adolescents' mental health during the pandemic

Proceedings Of The 23Rd Paediatric Rheumatology European Society Congress: Part Two

PubMe