Applying Census Data to Housing Policy

This presentation features: Applying Census Data to Housing Policy; What do these data tell us?; Omaha Change 2000-2010; Nebraska Change 2000-2010; What do these data tell us?; Key Housing Policy Questions; Overall Demographic Assumptions; Population Change; Population Change by Predicted vs. Actual; Housing Production; Population Forecast; Occupancy Changes, Dodge City; Development Projection, Dodge City; Income Distributions and Housing Affordability Ranges; Housing Development Program, Dodge City; and Gap Calculations

Julia and Mandelbrot sets for dynamics over the hyperbolic numbers

Julia and Mandelbrot sets, which characterize bounded orbits in dynamical systems over the complex numbers, are classic examples of fractal sets. We investigate the analogs of these sets for dynamical systems over the hyperbolic numbers. Hyperbolic numbers, which have the form $x+\tau y$ for $x,y \in \mathbb{R}$, and $\tau^2 = 1$ but $\tau \neq \pm 1$, are the natural number system in which to encode geometric properties of the Minkowski space $\mathbb{R}^{1,1}$. We show that the hyperbolic analog of the Mandelbrot set parameterizes connectedness of hyperbolic Julia sets. We give a wall-and-chamber decomposition of the hyperbolic plane in terms of these Julia sets.Comment: 7 page

Proceedings of PVP2005 2005 ASME Pressure Vessels and Piping Division Conference Utilizing Normalized Correlation to Extract Meaningful Data from Noisy NDE Signals

Abstract Remote Induced Current Potential Drop (RICPD) is a nondestructive inspection method for finding cracks within stainless steel pipes. One problem with RICPD inspection is that the RICPD signal is very weak and is therefore, susceptible to being overshadowed by noise. Especially when trying to detect shallow cracks, the RICPD signal-to-noise ratio can be quite small, making signals from cracks indistinguishable from random signal noise

Proceedings of PVP2005 2005 ASME Pressure Vessels and Piping Division Conference Estimating the Depths of Cracks in SS Pipes by Varying the Frequency of an ACPD Sensor

Abstract Alternating Current Potential Drop (ACPD) is one nondestructive evaluation method for detecting cracks within stainless steel pipes at industrial power plants. It is well known that the penetration depth of the excitation current from the ACPD sensor depends on the frequency of the applied alternating current. With respect to a "skin effect," lower frequencies produce deeper penetration. This frequency versus depth relationship can be used to judge the depth of cracks that may exist within stainless steel pipes. By varying the frequency of the alternating current supplied to the excitation circuit of an ACPD sensor, crack depths can be estimated. If the penetration depth of the excitation current nearly reaches the depth of the crack tip, then the existence of the crack will cause an increase in the current and a corresponding decrease in the potential drop measured by the ACPD sensor. On the other hand, if the penetration depth of the excitation current reaches beyond the depth of the crack tip, then the crack impedes the electrical current and causes a corresponding increase in the potential drop measured by the ACPD sensor. The frequency at which the measured potential drop flip-flops from a decrease to an increase corresponds to the depth of the crack tip, which can be calculated by using the standard equation for skin depth according to excitation frequency. Objective The objective of this research is to use an ACPD sensor to judge the depth of cracks within stainless steel pipes by varying the excitation frequency of the induced current

Julia and Mandelbrot Sets for Dynamics over the Hyperbolic Numbers

Julia and Mandelbrot sets, which characterize bounded orbits in dynamical systems over the complex numbers, are classic examples of fractal sets. We investigate the analogs of these sets for dynamical systems over the hyperbolic numbers. Hyperbolic numbers, which have the form x + τ y for x , y ∈ R , and τ 2 = 1 but τ ≠ ± 1 , are the natural number system in which to encode geometric properties of the Minkowski space R 1 , 1 . We show that the hyperbolic analog of the Mandelbrot set parameterizes the connectedness of hyperbolic Julia sets. We give a wall-and-chamber decomposition of the hyperbolic plane in terms of these Julia sets