Analytical study of aerodynamic means of controlling supersonic inlet flow, part I Technical report no. 495B

Means for achieving variable geometry supersonic inlet without using mechanical device

Analytical study of aerodynamic means of controlling supersonic inlet flow, part II TECHNICAL report no. 496E

Aerodynamic means of controlling supersonic inlet flo

Normal Coordinates and Primitive Elements in the Hopf Algebra of Renormalization

We introduce normal coordinates on the infinite dimensional group $G$ introduced by Connes and Kreimer in their analysis of the Hopf algebra of rooted trees. We study the primitive elements of the algebra and show that they are generated by a simple application of the inverse Poincar\'e lemma, given a closed left invariant 1-form on $G$. For the special case of the ladder primitives, we find a second description that relates them to the Hopf algebra of functionals on power series with the usual product. Either approach shows that the ladder primitives are given by the Schur polynomials. The relevance of the lower central series of the dual Lie algebra in the process of renormalization is also discussed, leading to a natural concept of $k$-primitiveness, which is shown to be equivalent to the one already in the literature.Comment: Latex, 24 pages. Submitted to Commun. Math. Phy

Review of the Economic Benefits and Costs Resulting from Dewey Reservoir

The purpose of this investigation was to study the economic effects of the construction of Dewey Reservoir in Floyd County, Kentucky. Primary emphasis was placed on determining the degree the project had shifted income to this economically underdeveloped area by determining the incomes of those receiving project benefits and those paying project costs. The income redistribution effects of all benefits and costs associated with Dewey Reservoir were evaluated by assuming that the Federal income tax structure indicates the marginal value of income to individuals in the various income brackets. Major benefits from the Dewey Project have been: flood control, $722,166 annually and recreation,$814,720 annually. Comparing these benefits with the average annual cost of the project yields a direct benefit cost ratio of 1.58. It was found that the flood damage reduction benefits have negative redistribution effects (-$77,670), because those receiving the benefits have incomes higher than that of the average taxpayer. The positive income redistribution benefits in decreasing order resulted from: repayment incidence ($197,860), recreation benefits ($133,720), project expenditures ($26,618), and Mississippi River benefits ($294.). Total average income redistribution benefits from Dewey have been$280,822. Adding this to the direct benefit gives a benefit-cost ratio of 1.87

Axisymmetric laminar and turbulent jets of hydrogen with simple chemistry technical report no. 331

Uniform axisymmetric laminar and turbulent jets of pure hydrogen issuing into parallel free stream of air with simple chemistr

Algorithmic accountability and digital justice: A critical assessment of technical and sociotechnical approaches.

The concept of digital justice is intended to open up discourse about strategies for bringing relief to those who believe they have been discriminated against or harmed by algorithmic decision making. Digital justice has depended on algorithmic accountability, a means by which entities can be held accountable for the consequences of algorithmic decision making. This paper critically examines the concept of algorithmic accountability to assess its utility as a ground for digital justice and argues that it is fraught with difficulties. After discussing digital justice and algorithmic discrimination, algorithmic accountability is decomposed into two types, technical and sociotechnical. These approaches are critically assessed and a cautionary note is struck about the difficulty of enacting algorithmic accountability. If this argument is persuasive, it implies that the concept of digital justice also has difficulties. The paper concludes with suggestions for moving forward that do not use either version of algorithmic accountability