Let F be a eld and n> 2 be a positive integer. A simplex in the projective space P F is an ordered set of hyperplanes L 1⁄4 ðL0; . . . ; LnÞ. A face of L is any nonempty intersection of the hyperplanes. A pair of simplices is admissible if they do not have common faces of the same dimension. It is a generic pair if all the faces of the two simplices are in general position. In their seminal pap...

In [1, 3, 4, 5], a Hopf algebra of rooted trees HR was introduced. It was shown that the antipode of this algebra was the key of a problem of renormalization ([8]). HR is related to the Hopf algebra HCM introduced in [2]. Moreover, the dual algebra of HR is the enveloping algebra of the Lie algebra of rooted trees L. An important problem was to give an explicit construction of the primitive ele...

The role of frameworks in information systems has recently received a great deal of critical attention. One prominent indictment, which has been directed at even commonly accepted frameworks, is that they lack empirical support, and in fact are not constructed in operational terminology. This article reports the results of an experimental lab study using MBA students as subjects to investigate ...

To solve problems of compliance, an institutional trigger mechanism is often used. This paper develops a model of two trigger mechanisms and derives conditions where the two institutions may complement one another to improve utility and compliance. When the conditions for optimality do not hold, small changes in institutional structure may create lumpy changes in behavior. Also, the paper explo...

T. Baehr-Jones,* M. Hochberg, Richard Soref, and A. Scherer Department of Applied Physics, California Institute of Technology, 1200 E California Boulevard, Pasadena, California 91125 Air Force Research Laboratory Sensors Directorate, Electromagnetic Technology Division, 80 Scott Drive, Hanscom Air Force Base, Bedford, Massachusetts 01731-2909 E-mail: [email protected] *Corresponding author: ...

Dred Scott, without doubt, is the most controversial case in the history of the United States Supreme Court. Unlike the controversies that surround other decisions of the Court, the controversy surrounding Dred Scott does not turn on if the outcome or Chief Justice Taney’s analysis was wrong, but rather on why the outcome and Chief Justice Taney’s analysis were wrong. This article focuses on th...

Obesity and pronated foot type may increase the risk of chronic plantar heel pain: a matched Title: case-control study

We point out that there is a problem with the definition of homological critical value (as defined in the widely cited paper [2] by Cohen-Steiner, Edelsbrunner and Harer). Under that definition, the critical value lemma of [2] in fact fails. We provide several counterexamples and a definition (due to Bubenik and Scott [1]) we feel should be preferred and under which the critical value lemma doe...

Scott Baker’s article takes a creative approach to the question of whether the federal judiciary should receive a pay raise and concludes that the data counsel otherwise.1 While I am a great advocate of empirical analysis to inform questions such as this, and Professor Baker may have done the best job possible with the available measures, I fear that this study contributes little to the debate ...