Conductive heating of the solar wind. III - Breakdown of the Navier-Stokes equations, 4 June - 4 December 1965

Navier-Stokes equation in predicting solar wind flow patter

Theoretical study of the coupling between the solar wind and the exosphere final report, 14 jun. 1963 - 14 jun. 1964

Ion sound waves, electron acceleration, and plasma instabilities in transition layer of exospher

Plasma wave experiment for the ISEE-3 mission

Sensitive, high resolution plasma probes for analysis of the distribution functions and plasma wave instruments for measurements of electromagnetic and electrostatic wave modes are commonly flown together to provide information on plasma instabilities and wave particle interactions. Analysis of the data for the ISEE 3 mission is provided

Optimal Inventory Policies When Sales Are Discretionary

Inventory models customarily assume that demand is fully satisfied if sufficient stock is available. We analyze the form of the optimal inventory policy if the inventory manager can choose to meet a fraction of the demand. Under classical conditions we show that the optimal policy is again of the (S,s) form. The analysis makes use of a novel property of K-concave functions.Inventory theory, optimal ordering policies, (S,s) policies, K-concavity

Wave-particle interactions in the solar wind

Wave-particle interactions in solar win

On the development of a soccer player performance rating system for the English premier league

The EA Sports Player Performance Index is a rating system for soccer players used in the top two tiers of soccer in England—the Premier League and the Championship. Its development was a collaboration among professional soccer leagues, a news media association, and academia. In this paper, we describe the index and its construction. The novelty of the index lies in its attempts to rate all players using a single score, regardless of their playing specialty, based on player contributions to winning performances. As one might expect, players from leading teams lead the index, although surprises happen

Neighborhood complexes and generating functions for affine semigroups

Given a_1,a_2,...,a_n in Z^d, we examine the set, G, of all non-negative integer combinations of these a_i. In particular, we examine the generating function f(z)=\sum_{b\in G} z^b. We prove that one can write this generating function as a rational function using the neighborhood complex (sometimes called the complex of maximal lattice-free bodies or the Scarf complex) on a particular lattice in Z^n. In the generic case, this follows from algebraic results of D. Bayer and B. Sturmfels. Here we prove it geometrically in all cases, and we examine a generalization involving the neighborhood complex on an arbitrary lattice

Two New Proofs of Afriat's Theorem

We provide two, new simple proofs of Afriat's celebrated theorem..Afriat's theorem, SARP, GARP