In this paper we classify all Schur functions and skew Schur functions that are multiplicity free when expanded in the basis of fundamental quasisymmetric functions, termed F -multiplicity free. Combinatorially, this is equivalent to classifying all skew shapes whose standard Young tableaux have distinct descent sets. We then generalize our setting, and classify all F -multiplicity free quasisy...

Two formulas for the multiplicity of the fiber cone F (I) = ⊕∞n=0I /mI of an m-primary ideal of a d-dimensional Cohen-Macaulay local ring (R,m) are derived in terms of the mixed multiplicity ed−1(m|I), the multiplicity e(I) and superficial elements. As a consequence, the Cohen-Macaulay property of F (I) when I has minimal mixed multiplicity or almost minimal mixed multiplicity is characterized ...

Summary This paper surveys the recent literature on dynamic games estimation when there is a concern of equilibrium multiplicity. We focus questions testing for multiplicity and in presence

Let T be a bounded linear operator in a separable Banach space X and let μ be a nonnegative measure in C with compact support. A function mT,μ is considered that is defined μ-a.e. and has nonnegative integers or +∞ as values. This function is called the local multiplicity of T with respect to the measure μ. This function has some natural properties, it is invariant under similarity and quasisim...

asymptomatic malaria (asm) has been implicated in the development of hemolytic crisis in infected sickle cell anemia (sca) patients worldwide. this study surveyed steady state sca nigerian patients for asm to investigate the influence of malaria prevention behaviors and age on parasitaemia and multiplicity of infection (moi). a total of 78 steady sca patients aged 5 – 27 years on routine care a...

We define the Segre numbers of an ideal as a generalization of the multiplicity of an ideal of finite colength. We prove generalizations of various theorems involving the multiplicity of an ideal such as a principle of specialization of integral dependence, the Rees-Böger theorem, and the formula for the multiplicity of the product of two ideals. These results are applied to the study of variou...

After deriving inequalities on coefficients arising in the expansion of a Schur P -function in terms of Schur functions we give criteria for when such expansions are multiplicity free. From here we study the multiplicity of an irreducible spin character of the twisted symmetric group in the product of a basic spin character with an irreducible character of the symmetric group, and determine whe...

The incidence and multiplicity of grossly observed and microscopic lesions of the respiratory tract of A/J mice exposed nose-only to mainstream smoke (50, 200, or 400 mg total particulate matter/m3 from 2R4F cigarettes) was compared to those of filtered air controls. Animals were necropsied at the end of exposure (5 mo) or following 4 or 7 mo of recovery. Lungs were visually inspected for tumor...

is the geometric multiplicity of λk which is also the number of Jordan blocks corresponding to λk . • The orders of the Jordan Blocks of λk must sum to the algebraic multiplicity of λk . • The number of Jordan blocks corresponding to an eigenvalue λk is its geometric multiplicity. • The matrix A is diagonalizable if and only if, for any eigenvalue λ of A , its geometric and algebraic multiplici...

We have studied hadronic final states produced in the decays of 2 bosons using the Mark II detector at SLC. We have measured the distributions of global shape parameters, inclusive charged particle distributions, charge particle multiplicity and jet multiplicity. The results are compared to predictions of QCD-based models optimized at the PEP energy. The data and models agree within -the presen...