Abstract Let L be an n -dimensional null-filiform Leibniz algebra over a field K . We consider finite dimensional cocommutative Hopf or Taft H and we describe the -actions on Moreover provide set of -identities description S -module structure relatively free

The class of Petrov type I curvature tensors is further divided into those for which the span set distinct principal null directions has dimension four (maximally spanning I) or three (nonmaximally I). Explicit examples are provided both vacuum and nonvacuum spacetimes.

Kinematically redundant manipulators possess an innnite number of joint angle tra-jectories which satisfy a given desired end eeector trajectory. The joint angle trajectories considered in this work are locally described by generalized inverses which satisfy the Ja-cobian equation relating the instantaneous joint angle velocities to the velocity of the end eeector. One typically selects a solut...

Simultaneously testing a collection of null hypotheses about a data generating distribution based on a sample of independent and identically distributed observations is a fundamental and important statistical problem involving many applications. In this article we propose a new resampling based multiple testing procedure asymptotically controlling the probability that the proportion of false po...

We define the manifold of configurations to be quotient set k points in Euclidean space identified under congruence, and prove that compact subsets ℝd, d≥2, large Hausdorff dimension have a non-null them. Our method simplifies previous work achieves better dimensional threshold.

Simultaneously testing a collection of null hypotheses about a data generating distribution based on a sample of independent and identically distributed observations is a fundamental and important statistical problem involving many applications. In this article we propose a new re-sampling based multiple testing procedure asymptotically controlling the probability that the proportion of false p...

In analyses of algorithms, a substantial amount of effort has often to be spent on the discussion of special cases. For example, when the analysis considers the cases X < Y and X > Y separately, one might have to be especially careful about what happens when X = Y . On the other hand, experience tells us that when a yet unregarded special case of this kind is discovered, one nearly always finds...

Simultaneously testing a collection of null hypotheses about a data generating distribution based on a sample of independent and identically distributed observations is a fundamental and important statistical problem involving many applications. Methods based on marginal null distributions (i.e., marginal p-values) are attractive since the marginal p-values can be based on a user supplied choic...