We give an action for the massless spinning particle in pseudoclassical mechanics by using grassmann variables. The constructed action is invariant under τ -reparametrizations, local SUSY and O(N) transformations. After quantization, for the special case N = 2, we get an action which describes the spin 0, 1 and topological sectors of the massless DKP theory.

Symmetries of a partial Latin square are primarily determined by its autotopism group. Analogously to the case of Latin squares, given an isotopism Θ, the cardinality of the set PLSΘ of partial Latin squares which are invariant under Θ only depends on the conjugacy class of the latter, or, equivalently, on its cycle structure. In the current paper, the cycle structures of the set of autotopisms...

In the article, the influencing factors of the high-voltage transmission line running were analyzed, the important meanings of the real-time online monitoring of the line contact point aging for guaranteeing the safe and stable running of the lines were pointed out, the theoretical reference and the project selection of the high-voltage transmission line temperature monitoring were discussed, a...

I am the head mentor of PRIMES. From time to time one of our mentors tells me that their project is stuck. I then meet with the mentor and their student to brainstorm possible alternative directions. When students suggest their own direction they are more passionate about it and the project gets unstuck. Sometimes a new direction points away from the original question. But after resolving the n...

Neural-based branch predictors have been among the most accurate in the literature. The recently proposed scaled neural analog predictor, or SNAP, builds on piecewise-linear branch prediction and relies on a mixed analog/digital implementation to mitigate latency as well as power requirements over previous neural predictors. I present an optimized version of the SNAP predictor, hybridized with ...

Simulation results are reported on methods that allow both within group and between group heteroscedasticity when testing the hypothesis that independent groups have identical regression parameters. The methods are based on a combination of extant techniques, but their finite-sample properties have not been studied. Included are results on the impact of removing all leverage points or just bad ...

The basic problem discussed here is the exploitation of symmetry in solving linear systems of equations which are equivariant under a permutation of the indices. It is essentially an overview of the method given in 11] and 10], augmented by a careful discussion of the case of xed points, which was left untreated in these articles.