We discuss two novel QCD effecte which enhance the production of heavy quarks and supersymmetric hadrons beyond that conventionally expected from gluon fusion. Invited talk presented at the 12th SLAC Summer Institute on Particle Physics Stanford, California, July 23 August 3, 1984 ir Work supported by the Department of Energy, contract DE AC03 76SF00515. @ Stanley J. Brodsky 1984

We show that H-spaces with finitely generated cohomology, as an algebra or as an algebra over the Steenrod algebra, have homotopy exponents at all primes. This provides a positive answer to a question of Stanley.

COMPARISON OF WEAR INTERACTION THEORY WITH EXPERIMENT* Stanley G. Wojcicki Physics Department and Stanford Linear Accelerator Center Stanford University, Stanford, California 94305 TABLE OF CONTENTS

We give another proof for the (−1)–enumeration of self-complementary plane partitions with at least one odd side-length by specializing a certain Schur function identity. The proof is analogous to Stanley’s proof for the ordinary enumeration. In addition, we obtain enumerations of 180◦-symmetric rhombus tilings of hexagons with a barrier of arbitrary length along the central line.

We disprove various claims made by Ramanujan in his, until very recently, unpublished manuscript [1] on the partition and tau functions. Furthermore, the second part of a related paper by G.K. Stanley [17] is corrected (the first part of which was earlier corrected by D. Shanks [16]).

We prove a decomposition theorem for the cd-index of a Gorenstein* poset analogous to the decomposition theorem for the intersection cohomology of a toric variety. From this we settle a conjecture of Stanley that the cd-index of Gorenstein* lattices is minimized on Boolean algebras.

While space does not permit a complete discussion, there are a variety of methods for leveraging humans for teaching machine agents. One common method is demonstration, where solutions to example problems are shown to the learner. Other methods have humans decompose problems so the learner need only solve a series of small problems (e.g., hierarchical decompositions (Dietterich, 1998), goalbase...

In 1977 Stanley proved that the h-vector of a matroid is an O-sequence and conjectured that it is a pure O-sequence. In the subsequent years the validity of this conjecture has been shown for a variety of classes of matroids, though the general case is still open. In this paper we use Las Vergnas’ internal order to introduce a new class of matroids which we call internally perfect. We prove tha...

Let Mn stand for the Plancherel measure on Yn, the set of Young diagrams with n boxes. A recent result of R. P. Stanley (arXiv:0807.0383) says that for certain functions G defined on the set Y of all Young diagrams, the average of G with respect to Mn depends on n polynomially. We propose two other proofs of this result together with a generalization to the Jack deformation of the Plancherel me...