A simple scheme of forcing turbulence away from decay was introduced by Lundgren some time ago, the "linear forcing," which amounts to a force term that is linear in the velocity field with a constant coefficient. The evolution of linearly forced turbulence toward a stationary final state, as indicated by direct numerical simulations (DNS), is examined from a theoretical point of view based on ...

(The range of f is not necessarily the subset of its domain). The proof of the sufficiency is by induction on the number of elements of D. A.Ma̧kowski and K.Wiśniewski [12] have shown that the assumption of finiteness is superfluous. They proved their version of the theorem for f being a function from D into D. In the proof, the required partition was constructed and the construction used the ax...

In recent research on aphasia, a considerable number of studies have examined deficits in patients with agrammatism in the domain of verb-finiteness marking in different languages. Whilst much of this research has focused on tense and subject-verb agreement and has shown that tense is particularly impaired, the nature of verb-finiteness deficits in agrammatism is still a matter of controversy. ...

(The range of f is not necessarily the subset of its domain). The proof of the sufficiency is by induction on the number of elements of D. A. Ma̧kowski and K. Wiśniewski [10] have shown that the assumption of finiteness is superfluous. They proved their version of the theorem for f being a function from D into D. In the proof, the required partition was constructed and the construction used the ...

Definitions of finiteness are set-theoretical properties P such that, if the axiom of choice (AC) is assumed, a set satisfies P if and only if it is finite. It is well known that the equivalence of many definitions of finiteness (to one another, and to “ordinary” finiteness, defined below) requires some (perhaps weaker) form of AC. Thus, it is of interest to study how various definitions of fin...

I present a criterion for all-order finiteness in N =1 SYM theories. Three applications are given; they yield all-order finite N=1 SYM models with global symmetries of the superpotential. 1. INTRODUCTION The aim of this paper is to present applications of the criterion for all-order finiteness in N = 1 SYM of [ 1]. All-order finiteness is here meant in the sense of exact vanishing of the pertur...

Abstract We discuss the finiteness of (two-term) silting objects. First, we investigate new triangulated categories without object. Second, study two classes $\tau$ -tilting-finite algebras and give numbers their two-term Finally, explore when -tilting-finiteness implies representation-finiteness obtain several in which a algebra is representation-finite.

The influence of the finiteness of the source domain on the application of Curle’s analogy for the computation of flow-generated sound is investigated in the present work. Two aspects are studied: the spurious source of sound induced by CFD boundary conditions in incompressible simulations and the error due to the truncation of the integration source domain. Two validation cases are investigate...

Let X be a (connected and reduced) complex space. A qcollar of X is a bounded domain whose boundary is a union of a strongly q-pseudoconvex, a strongly q-pseudoncave and two flat (i.e. locally zero sets of pluriharmonic functions) hypersurfaces. Finiteness and vanishing cohomology theorems obtained in [17], [18] for semi q-coronae are generalized in this context and lead to results on extension...

The intersection graph $mathbb{Int}(A)$ of an $S$-act $A$ over a semigroup $S$ is an undirected simple graph whose vertices are non-trivial subacts of $A$, and two distinct vertices are adjacent if and only if they have a non-empty intersection. In this paper, we study some graph-theoretic properties of $mathbb{Int}(A)$ in connection to some algebraic properties of $A$. It is proved that the fi...