An elementary parcel model with explicit condensation and supersaturation

Parcel model simulations of aerosol

Parcel model simulations of aerosol – warm phase cloud microphysics interactions over the Amazon A. A. Costa and S. Sherwood Department of Geology and Geophysics, Yale University, New Haven, CT, USA Fundação Cearense de Meteorologia e Recursos Hı́dricos, Fortaleza, Brazil Received: 19 October 2004 – Accepted: 9 December 2004 – Published: 31 January 2005 Correspondence to: A. A. Costa (alexandre....

Elementary explicit types and polynomial time operations

This paper studies systems of explicit mathematics as introduced by Feferman [9, 11]. In particular, we propose weak explicit type systems with a restricted form of elementary comprehension whose provably terminating operations coincide with the functions on binary words that are computable in polynomial time. The systems considered are natural extensions of the first-order applicative theories...

An Elementary Cross-impact Model

An Elementary Ramsey Growth Model

This document describes a simple Ramsey growth model. 1. Growth theory: Ramsey models Growth theory based on the pioneering work of [17] has become a standard tool in applied economic modeling. Let’s denote by Ct the consumption at (continuous) time t, and let ρ be the discount rate. Let u(Ct) be an instantaneous utility function (with the following properties: u(Ct) < 0, u(Ct) > 0, u(Ct) ≥ 0)....

Time-dependent freezing rate parcel model

The time-dependent freezing rate (TDFR) model here described represents the formation of ice particles by immersion freezing within an air parcel. The air parcel trajectory follows an adiabatic ascent and includes a period in time when the parcel remains stationary at the top of its ascent. The description of the ice nucleating particles (INPs) in the air parcel is taken from laboratory experim...