Patterns in Tennessee's Black Population 2000-2010

The recent increase in the rate of growth in the black population has important implications for the state's population mix.Tennessee, population, black, black population, census, 2010, census 2010, population growth, population, growth, change, county, counties, data, grand divisions, east Tennessee, middle Tennessee, west Tennessee, regions, regional

Tennessee Population Growth 2000-2010

Tennessee's growth rate during the relevant 10-year-period was almost 20 percent higher than the comparable national growth rate of 9.7 percent.census, 2010, Tennessee, census 2010, population growth, population, growth, change, county, counties, data, regions, regional, grand divisions, east Tennessee, middle Tennessee, west Tennessee

Chaotic scattering in solitary wave interactions: A singular iterated-map description

We derive a family of singular iterated maps--closely related to Poincare maps--that describe chaotic interactions between colliding solitary waves. The chaotic behavior of such solitary wave collisions depends on the transfer of energy to a secondary mode of oscillation, often an internal mode of the pulse. Unlike previous analyses, this map allows one to understand the interactions in the case when this mode is excited prior to the first collision. The map is derived using Melnikov integrals and matched asymptotic expansions and generalizes a ``multi-pulse'' Melnikov integral and allows one to find not only multipulse heteroclinic orbits, but exotic periodic orbits. The family of maps derived exhibits singular behavior, including regions of infinite winding. This problem is shown to be a singular version of the conservative Ikeda map from laser physics and connections are made with problems from celestial mechanics and fluid mechanics.Comment: 29 pages, 17 figures, submitted to Chaos, higher-resolution figures available at author's website: http://m.njit.edu/goodman/publication

Dimensions of Copeland-Erdos Sequences

The base-$k$ {\em Copeland-Erd\"os sequence} given by an infinite set $A$ of positive integers is the infinite sequence \CE_k(A) formed by concatenating the base-$k$ representations of the elements of $A$ in numerical order. This paper concerns the following four quantities. The {\em finite-state dimension} \dimfs (\CE_k(A)), a finite-state version of classical Hausdorff dimension introduced in 2001. The {\em finite-state strong dimension} \Dimfs(\CE_k(A)), a finite-state version of classical packing dimension introduced in 2004. This is a dual of \dimfs(\CE_k(A)) satisfying \Dimfs(\CE_k(A)) \geq \dimfs(\CE_k(A)). The {\em zeta-dimension} \Dimzeta(A), a kind of discrete fractal dimension discovered many times over the past few decades. The {\em lower zeta-dimension} \dimzeta(A), a dual of \Dimzeta(A) satisfying \dimzeta(A)\leq \Dimzeta(A). We prove the following. \dimfs(\CE_k(A))\geq \dimzeta(A). This extends the 1946 proof by Copeland and Erd\"os that the sequence \CE_k(\mathrm{PRIMES}) is Borel normal. \Dimfs(\CE_k(A))\geq \Dimzeta(A). These bounds are tight in the strong sense that these four quantities can have (simultaneously) any four values in $[0,1]$ satisfying the four above-mentioned inequalities.Comment: 19 page

E-COMMERCE AND INTERNET USE IN SMALL BUSINESSES: TRENDS AND ISSUES

This paper is part of a series of reports of the activities conducted under a grant from the Fund for Rural America, U.S. Department of Agriculture. Funds for the grant entitled "Enhancing Rural Economies Through Comprehensive Extension, Research & Partnering Approaches Using Multi-County Clusters in Michigan With Application to National Rural Settings" were received by Michigan State University's Department of Agricultural Economics in March, 1998. The major goal of the grant is to increase economic development activity in four clusters of rural counties in Michigan through the utilization of the resources of the Michigan State University Extension Service, Michigan Agricultural Experiment Station, and other resources of Michigan State University. Various local, state, and federal public partners as well as the private sector are co-sponsors of projects in the counties. This paper focuses on E-commerce issues and applications for small businesses and communities providing information on recent developments of E-commerce businesses and approaches to successes in Internet marketing. Details of the paper rely on materials used for E-commerce training programs co-sponsored by the project, responses from businesses participated in the training and review of available digital economic and business literature that highlights key elements and benefits of E-commerce to small businesses.Agribusiness, Marketing,

RETENTION AND EXPANSION ISSUES AND CONCERNS OF RURAL BUSINESSES: SOME FINDINGS FROM SURVEYS IN THE WESTERN UPPER PENINSULA OF MICHIGAN

This paper is part of a series of reports of the activities conducted under a grant from the Fund for Rural America, U.S. Department of Agriculture. Funds for the grant entitled "Enhancing Rural Economies Through Comprehensive Extension, Research & Partnering Approaches Using Multi-County Clusters in Michigan With Application to National Rural Settings" were received by Michigan State University's Department of Agricultural Economics in March, 1998. The major goal of the grant is to increase economic development activity in four clusters of rural counties in Michigan through the utilization of the resources of the Michigan State University Extension Service, Michigan Agricultural Experiment Station, and other resources of Michigan State University. Various local, state, and federal public partners as well as the private sector are co-sponsors of projects in the counties. This paper focuses on Business Retention and Expansion (BR&E) programs that have been conducted in the Western Upper Peninsula (WUP) of Michigan. The paper highlights and assesses major achievements and performances of the programs with respect to identifying issues, problems, and opportunities impacting the local economies. The data include information from BR&E visitation programs supported by the project and two other surveys in the WUP region.Community/Rural/Urban Development,

RURAL RETIREES IN MICHIGAN: ISSUES AND OPPORTUNITIES - FINDINGS FROM FOCUS GROUP MEETINGS

This paper is a part of a series of reports of the activities conducted under a grant from the Fund for Rural America, U.S. Department of Agriculture. Funds for the three year grant entitled "Enhancing Rural Economies Through Comprehensive Extension, Research & Partnering Approaches Using Multi-County Clusters in Michigan With Application to National Rural Settings" were received by Michigan State University's Department of Agricultural Economics in March, 1998. The major goal of the grant is to increase economic development activity in four clusters of rural counties in Michigan through the utilization of the resources of the Michigan State University Extension Service, Michigan Agricultural Experiment Station, and other resources of Michigan State University. Various local, state, and federal public partners as well as the private sector are to co-sponsor projects. This paper represents the first stages of a continuing project to explore the utilization of retirement community human resources in rural Michigan and to develop Extension programs to meet their needs. Future activities include focus groups, labor supply analysis, a conference, and perhaps a rural academy to be developed by Michigan State University and its partners.Community/Rural/Urban Development,

THE "ENHANCING RURAL ECONOMIES" PROJECT: CONTEXT AND PURPOSE, TECHNIQUES AND PROCEDURES, AND EXPERIENCE TO DATE

This paper is a part of a series of reports of the activities conducted under a grant from the Fund for Rural America, U.S. Department of Agriculture. Funds for the three year grant entitled "Enhancing Rural Economies Through Comprehensive Extension, Research & Partnering Approaches Using Multi-County Clusters in Michigan With Application to National Rural Settings" were received by Michigan State University's Department of Agricultural Economics in March, 1998. The major goal of the grant is to increase economic development activity in four clusters of rural counties in Michigan through the utilization of the resources of the Michigan State University Extension Service, Michigan Agricultural Experiment Station, and other resources of Michigan State University. Various local, state, and federal public partners as well as the private sector are to co-sponsor projects. This paper represents an overview of some of the project activities undertaken by December, 1999.Community/Rural/Urban Development,