The stochastic data envelopment analysis (SDEA) was developed considering the value ofinputs and outputs as random variables. Therefore, statistical distributions play an importantrole in this regard. The skew-normal (SN) distribution is a family of probability densityfunctions that is frequently used in practical situations. In this paper, we assume that the inputand output variables are skew-...

2011 Transistor aging effects in Nano-scale CMOS result in transistor performance degradation over the device lifetime. The primary physical mechanism behind transistor aging is Bias Temperature Instability (BTI). Such transistor aging results in circuit performance degradation over time. In this research we are interested in analyzing the impact of the BTI aging effect on clock skew in on-chip...

Abstract   In this study, generalized differential quadrature analysis of elastic/plastic buckling of skew thin plates is presented. The governing equations are derived for the first time based on the incremental and deformation theories of plasticity and classical plate theory (CPT). The elastic/plastic behavior of plates is described by the Ramberg-Osgood model. The ranges of plate geometries...

In the framework of spherical geometry for jellium and local spin density approximation, we have obtained the equilibrium rs values, r̄s(N, ζ), of neutral and singly ionized “generic” N -electron clusters for their various spin polarizations, ζ. Our results reveal that r̄s(N, ζ) as a function of ζ behaves differently depending on whether N corresponds to a closed-shell or an openshell cluster. Th...

A skew brane is an immersed codimension 2 submanifold in affine space, free from pairs of parallel tangent spaces. Using Morse theory, we prove that a skew brane cannot lie on a quadratic hypersurface. We also prove that there are no skew loops on embedded ruled developable discs in 3-space. MSC: 53A05, 53C50, 58E05

Nisan (STOC 1991) exhibited a polynomial which is computable by linear-size non-commutative circuits but requires exponential-size non-commutative algebraic branching programs. Nisan’s hard polynomial is in fact computable by linear-size “skew circuits.” Skew circuits are circuits where every multiplication gate has the property that all but one of its children is an input variable or a scalar....

For a class of skew-normal matrix distributions, the density function, moment generating function and independent conditions are obtained. The noncentral skew Wishart distribution is defined and the necessary and sufficient conditions under which a quadratic form is noncentral skew Wishart distributed random matrix are established. A new version of Cochran’s theorem is given. For illustration, ...

Skew heaps are an amazingly simple and lightweight implementation of priority queues. They were invented by Sleator and Tarjan [1] and have logarithmic amortized complexity. This entry provides executable and verified functional skew heaps. The amortized complexity of skew heaps is analyzed in the AFP entry Amortized Complexity.