In geotechnical engineering, rock mechanics and engineering geology, depending on the project design, uniaxial strength and static Youngchr('39')s modulus of rocks are of vital importance. The direct determination of the aforementioned parameters in the laboratory, however, requires intact and high-quality cores and preparation of their specimens have some limitations. Moreover, performing thes...

Data analysis in modern scientific research and practice has shifted from analysing a single dataset to coupling several datasets. We propose study kernel regression method that can handle the challenge of heterogeneous populations. It greatly extends constrained [Dai, C.-S., & Shao, J. (2023). Kernel utilizing external information as constraints. Statistica Sinica, 33, press] requires homogene...

S-Net is a declarative asynchronous data-flow coordination language. Like many other high-level multi-core programming approaches, the S-Net runtime system makes use of light-weight task abstractions that are automatically mapped to a set of heavy-weight kernel threads for execution. The number of kernel threads is typically motivated by the number of cores in the hardware. We argue that such a...

This paper presents a fine grain parallel version of the 3D Delaunay Kernel procedure using the OpenMP (Open Multi-Processing) API. A set S = {p1, . . . , pn} of n points is taken as input. S is initially sorted along a space-filling curve so that two points that are close in the insertion order are also close geometrically. The sorted set of point is then divided into M subsets S i, 1 ≤ i ≤ M ...

The representation of the total cross section at high energy √ s in the next-to-leading ln s approximation is given with definition of the impact factors and explicit expression for the BFKL kernel. The estimate of the Pomeron intercept and the next-to-leading contributions to anomalous dimensions near j = 1 are presented.

We prove the formula ed(X ) = cdim(X ) + ed(A) for any gerbe X banded by an algebraic group A which is the kernel of a homomorphism of algebraic tori Q → S with Q invertible and S split. This result is applied to prove new results on the essential dimension of algebraic groups.

We consider unitary random matrix ensembles Z n,s,te −n tr s,tdM on the space of Hermitian n × n matrices M , where the confining potential Vs,t is such that the limiting mean density of eigenvalues (as n → ∞ and s, t → 0) vanishes like a power 5/2 at a (singular) endpoint of its support. The main purpose of this paper is to prove universality of the eigenvalue correlation kernel in a double sc...