As an extension of the class of half condensed domains introduced by D.D. Anderson and Dumitrescu, we introduce and study the class of almost condensed domains. An integral domain D is almost condensed if whenever 0 ̸= z ∈ IJ with I, J ideals of D, there exist I ′, J ′ ideals of D such that I ′ ⊆ Iw, J ′ ⊆ Jw and zD = (I ′J )w. In 1983, D.F. Anderson and D.E. Dobbs [13] called an integral domain...

• In Section 2.4.4. “Parallel versus serial schemes”, in the paragraph “Parallel implementation”, the following text: 2 (b) For all agents i ∈ {1, . . . , n}, at the same time, agent i solves the problem (2.21) to determine x̃i(k + 1) , ũi(k) , w̃in,ji(k) , w̃out,ji(k) , and sends to agent j ∈ Ni the computed values w̃out,ji(k) . should be replaced by 2 (b) For all agents i ∈ {1, . . . , n}, at the...

We propose a new selection procedures in unequal probability sampling that can be used with Horvitz and Thompson Estimator. Expression for inclusion probability for ith unit ( i  ) and joint inclusion probability of ith and jth unit ( ij  ) has been obtained. Some desirable properties of i  and ij  has been verified for proposed procedure.

BACKGROUND AND PURPOSE MRV has been proposed as a possible screening method to identify chronic cerebrospinal venous insufficiency, which may play a role in MS. We report our initial experience comparing MRV and CV in MS patients to evaluate venous stenosis and collateral venous drainage. MATERIALS AND METHODS Time-of-flight and time-resolved imaging of contrast kinetics MRV and CV were perfo...

Measuring the topological overlap of two graphs becomes important when assessing the changes between temporally adjacent graphs in a time-evolving network. Current methods depend on the fraction of nodes that have persisting edges. This breaks down when there are nodes with no edges, persisting or otherwise. The following outlines a proposed correction to ensure that correlation metrics have th...

A polycyclic fatigue damage model for short glass fibre reinforced thermoplastics is developed and implemented into ABAQUS FE code using UMAT subroutine. The MNL model is introduced here in terms of damage rates: ( ) ) ( 2 0 1 2 0 2 1 2 1 1 ) ( ) ( N ij ij ij ij ij ij ij ij ij ij ij e E E N d d λ β ε γ ε β β α − −       +       + = ∂ ∂ = & (1) Where N is the number of cycles. αij, β...

Sufficient and necessary conditions are provided on warped product manifolds their base fiber for a vector field $$\varphi _{j}$$ to be \left( \mathrm {Ric}\right) $$ -vector , that is, $$\nabla _{i}\varphi _{j}=\mu R_{ij}$$ where $$R_{ij}$$ is the Ricci tensor of M \mu scalar. Two space-times admitting fields considered. Lorentzian quasi-Einstein time-like {Ric} \right) shown either simple or ...

The alcohol dehydrogenase (Adh) region of Drosophila pseudoobscura, which includes the two genes Adh and Adh-Dup, was used to examine the pattern and organization of linkage disequilibrium among pairs of segregating nucleotide sites. A collection of 99 strains from the geographic range of D. pseudoobscura were nucleotide-sequenced with polymerase chain reaction-mediated techniques. All pairs of...

Connectedness among animals in separate flocks reduces the risk of biased comparisons when selecting across flocks on EBV. The objective in this study was to assess levels of connectedness in the genetic evaluation of weaning weight among Targhee and Suffolk flocks participating in the US National Sheep Improvement Program (NSIP). Among flocks currently participating in the NSIP, a total of 25,...

Considering an interatomic potential $U(\mathbf{q})$, where $\mathbf{q}=[{\mathbf{q}}_{1},{\mathbf{q}}_{2},\ensuremath{\cdots},{\mathbf{q}}_{N}]\ensuremath{\in}{\mathbb{R}}^{3N}$ is a vector describing positions ${\mathbf{q}}_{i}\ensuremath{\in}{\mathbb{R}}^{3}$, it shown that $U$ can be defined as function of the distance variables ${r}_{ij}=|{\mathbf{q}}_{i}\ensuremath{-}{\mathbf{q}}_{j}|$ pr...