For any closed complex manifold X, we calculate the Poincaré and Hodge polynomials of the delocalized equivariant cohomology H(X, Sn) with a grading specified by physicists. As a consequence, we recover a special case of a formula for the elliptic genera of symmetric products in DijkgraafMoore-Verlinde-Verlinde [8]. For a projective surface X, our results matches with the corresponding formulas...

In mining projects, all uncertainties associated with a project must be considered to determine the feasibility study. Grade uncertainty is one of the major components of technical uncertainty that affects the variability of the project. Geostatistical simulation, as a reliable approach, is the most widely used method to quantify risk analysis to overcome the drawbacks of the estimation methods...

Stope design optimisation defines three-dimensional extraction volumes aiming to maximise cashflows, subject geotechnical and operational constraints. Available stope layout methods are deterministic, failing account for grade uncertainty variability that affect locations sizes, as well value. A two-stage stochastic integer programming model is proposed, integrating quantified through geostatis...

BACKGROUND GRADE was developed to address shortcomings of tools to rate the quality of a body of evidence. While much has been published about GRADE, there are few empirical and systematic evaluations. OBJECTIVE To assess GRADE for systematic reviews (SRs) in terms of inter-rater agreement and identify areas of uncertainty. DESIGN Cross-sectional, descriptive study. METHODS We applied GRA...

i.p.s. hypergroups are canonical hypergroups such that$[forall(a,x),a+xni x]longrightarrow[a+x=x].$i.p.s. hypergroups were investigated in [1], [2], [3], [4] and it was proved thatif the order is less than 9, they are strongly canonical (see [13]). in this paperwe obtain the sequences of fuzzy sets and of join spaces determined (see [8])by all i.p.s. hypergroups of order seven. for the meaning ...

There is a growing demand for automatic assessment of spoken English proficiency. These systems need to handle large variations in input data owing to the wide range of candidate skill levels and L1s, and errors from ASR. Some candidates will be a poor match to the training data set, undermining the validity of the predicted grade. For high stakes tests it is essential for such systems not only...

Short-term production plans are the basis for operational mine production schedules. They concentrate on making long-term mine plans operationally feasible. Furthermore, some variables such as ore grade and tonnage govern mine production systems and cause uncertainty in the supply of raw materials to the mills. Due to the quality variation of material, short-term production optimization is an u...

Almost all teachers are required to submit final grades for their students. In this note we discuss the uncertainty in those grades with an emphasis on grades in physics courses. We will estimate that the statistical uncertainty in final grades is at least 4% out of 100%, and is probably significantly higher than this. The implications of this result on things like calculating Grade Point Avera...