the concept of “infinite essence” that is both philosophically and theologically important, has passed many different evolutions in western history of thought. presocratics has evaluated it in two different ways. anaximender and melissus agree that the principle substance is infinite and divine, but neither absolutly transcendent nor anthropomorphic. the infinite is the fusis in its substantial...

The design and numerical modeling using Finite Element Analysis (FEA) of electric field strength in programmable neural switch is carried out. The obtained model provided good approximation to the derived complex analytical solution. Effect of electrode separation and field spread in both x and y directions are studied and explained. Boundary effect on field strength representation is discussed...

A microstructure-based model is developed to study the effective anisotropic properties (magnetic, dielectric or thermal) of two-phase particle-filled composites. The Green's function technique and the effective field method are used to theoretically derive the homogenized (averaged) properties for a representative volume element containing isolated inclusion and infinite, chain-structured part...

Let $E$ be a countable Borel equivalence relation on the space $\mathcal {E}_{\infty }$ of all infinite partitions natural numbers. We show that coincides with equality below Carlson–Simpson generic element }$. In con

In this note we answer two open questions on the finite-dimensional approximation of linear operators in Banach spaces. The first result establishes bounds on the ratio a of the error of adaptive approximations to the error of nonadaptive approximations of linear operators (see [PW], open problem 1); terms are defined more precisely below. This result is of interest partly because of its connec...

The proposed approach combines the advantages of isogeometric analysis (IGA) and scaled boundary finite element method (SBFEM). The IGA is employed for idealization of the dam structure, while SBIGA is developed for modeling the semi-infinite fluid domain of reservoir and unbounded elastic half-space of the dam foundation. Water compressibility, reservoir boundary wave absorption can be taken i...

In this work, the mechanism for fracture of brittle substances such as rocks under a uniform normal tension is considered. The oriented straight micro-cracks are mostly created in all the polycrystalline materials resulting from the stress concentrations. The present work focuses on the interactions of the pre-existing micro-cracks, which can grow and propagate within a rock-like specimen. The ...

This paper investigates the moments and stress resultants from infinite FG laminates with different polygonal cutouts subject to uniaxial tensile load. The analytical solution used for the calculation of stress resultants and moments is the basis of the complex-variable method and conformal mapping function. The impact of various factors, namely cutout orientation angle, cutout aspect ratio as ...

ion, in this case, means that we are looking for a mapping X so that for all v, S[v]⊆X[v]. This means that we allow to weaken the statement about program points. To compute such an over-approximation of (concrete) semantics, we start with picking a complete lattice (D,v) so that each element d ∈D is a finite representation of a possibly infinite set of states. This step is necessary as we obvio...