140 research outputs found
A Recipe for State Dependent Distributed Delay Differential Equations
We use the McKendrick equation with variable ageing rate and randomly
distributed maturation time to derive a state dependent distributed delay
differential equation. We show that the resulting delay differential equation
preserves non-negativity of initial conditions and we characterise local
stability of equilibria. By specifying the distribution of maturation age, we
recover state dependent discrete, uniform and gamma distributed delay
differential equations. We show how to reduce the uniform case to a system of
state dependent discrete delay equations and the gamma distributed case to a
system of ordinary differential equations. To illustrate the benefits of these
reductions, we convert previously published transit compartment models into
equivalent distributed delay differential equations.Comment: 28 page
Home Appreciation Participation Notes: A Solution to Housing Affordability and the Current Mortgage Crisis
This paper introduces Home Appreciation Participation Notes (HAPNs), an innovative new housing finance tool. Housing is a commodity providing two distinct utilities: shelter and investment. Traditionally, buyers have had to purchase both elements in tandom. HAPNs allow buyers to purchase these elements individually. Thus, buyers can focus on purchasing housing units that best fit their shelter needs, investing in housing appreciation to whatever extent is appropriate for the needs of their investment portfolio. HAPNs are different from previous financing tools in three key ways: there is no payment burden until ownership of the home is transferred, the risk of housing price declines is shifted to investors, and the final payoff is indexed to the appreciation rates of local housing prices. With these three features, HAPNs considerably improve the affordability of homeownership while reducing the risk of default and avoiding the moral hazard associated with shared appreciation instruments.
S18RS SGB No. 6 (Amend Governing Documents)
A Bill
To amend the Student Government Governing Document
The particle detector in your pocket: The Distributed Electronic Cosmic-ray Observatory
The total area of silicon in cell phone camera sensors worldwide surpasses
that in any experiment to date. Based on semiconductor technology similar to
that found in modern astronomical telescopes and particle detectors, these
sensors can detect ionizing radiation in addition to photons. The Distributed
Electronic Cosmic-ray Observatory (DECO) uses the global network of active cell
phones in order to detect cosmic rays and other energetic particles such as
those produced by radioactive decays. DECO consists of an Android application,
database, and public data browser available to citizen scientists around the
world (https://wipac.wisc.edu/deco). Candidate cosmic-ray events have been
detected on all seven continents and can be categorized by the morphology of
their corresponding images. We present the DECO project, a novel particle
detector with wide applications in public outreach and education.Comment: Presented at ICRC 2017, Busan, Korea. See https://wipac.wisc.edu/deco
for more informatio
- …