The object of the present paper is to study locally φsymmetric LP-Sasakian manifolds admitting semi-symmetric metric connection and obtain a necessary and sufficient condition for a locally φsymmetric LP-Sasakian manifold with respect to semi-symmetric metric connection to be locally φ-symmetric LP-Sasakian manifold with respect to Levi-Civita connection. AMS Mathematics Subject Classification ...

We propose a novel, practical coverage metric called “location pairs” (LP) for concurrently-accessed software components. The LP metric captures well common concurrency errors that lead to atomicity or refinement violations. We describe a software tool for measuring LP coverage and outline an inexpensive application of predicate abstraction and model checking for ruling out infeasible coverage ...

Codes and associated lattices are studied in the lp metric, particularly in the l1 (Lee) and the l∞ (maximum) distances. Discussions and results on decoding processes, classification and analysis of perfect or dense codes in these metrics are presented. Keywords—Codes and lattices, lp metric, Lee metric, perfect codes.

In this paper, we introduce an adaptive Lp–norm metric for robust coherent, differential, and noncoherent diversity combining in non–Gaussian noise and interference. We consider the general case where all diversity branches may use different combining weights and different Lp–norms. We derive a general closed–form expression for the asymptotic bit error rate (BER) for Lp–norm combining in indep...

Measuring the transmitted information in metric-based clustering has become something of a standard test for the performance of a spike train metric. In this comment, the recently proposed Lp VictorPurpura metric is used to cluster spiking responses to zebra finch songs, recorded from field L of anesthetized zebra finch. It is found that for these data the Lp metrics with p > 1 modestly outperf...

Measuring the transmitted information in metric-based clustering has become something of a standard test for the performance of a spike train metric. In this comment, the recently proposed Lp VictorPurpura metric is used to cluster spiking responses to zebra finch songs, recorded from field L of anesthetized zebra finch. It is found that for these data the Lp metrics with p > 1 modestly outperf...

d is a metric d(ti, tj) ≥ 1 ∀ti, tj ∈ T where cuv is the cost of the edge between vertices u and v. 16.1.2 Rounding Once we’ve found an optimal solution to the metric LP above, we need to transform our metric to a cut metric, which will yield a valid multiway cut. As usual, we use the fact that LP ∗ ≤ OPT . To do this analysis, it will be useful to consider a set of interesting physical analogi...