We consider discretizations of the stationary Stokes equation in three spatial dimensions by non-conforming Crouzeix-Raviart elements. The original definition seminal paper M. Crouzeix and P.-A. Raviart 1973 [Rev. Française Automat. Informat. Recherche Opérationnelle Sér. Rouge 7 (1973), pp. 33–75] is implicit also contains substantial freedom for a concrete choice. In this paper, we introduce ...

Recently there has been considerable interest in studying the length and depth of finite groups, algebraic groups Lie groups. In this paper we introduce study similar notions for algebras. Let $k$ be a field let $A$ an associative, not necessarily unital, algebra over $k$. An unrefinable chain is subalgebras $A=A_0>A_1>...>A_t=0$ some integer $t$ where each $A_i$ maximal subalgebra $A_{i-1}$. T...

A function f : V → {−1, 0, 1} is a minus-domination function of a graph G = (V,E) if the values over the vertices in each closed neighborhood sum to a positive number. The weight of f is the sum of f(x) over all vertices x ∈ V. The minus-domination number γ(G) is the minimum weight over all minus-domination functions. The size of a minus domination is the number of vertices that are assigned 1....

Plus-strand viral RNAs contain sequences and structural elements that allow cognate RNA-dependent RNA polymerases (RdRp) to correctly initiate and transcribe asymmetric levels of plus and minus strands during RNA replication. cis-acting sequences involved in minus-strand synthesis, including promoters, enhancers, and, recently, transcriptional repressors (J. Pogany, M. R. Fabian, K. A. White, a...

We studied the renal function and the intrarenal blood flow of nine dogs whose thoracic inferior vena cava had been previously ligated (caval dogs) and nine other dogs. Following preparative surgery which included placement of a left atrial catheter, a femoral artery catheter, and bilateral ureteral catheters, the caval dogs gained an average of 2.1 kg of fluid weight, whereas the normal dogs g...

We evaluated the effects of hemodilution, expansion of intravascular volume, and expansion of interstitial volume on the distribution of cortical renal blood flow, utilizing the microsphere technique. Hemodilution without volume expansion (saline exchange) produced an increase in fractional blood flow in zone 1 (outermost zone) of the cortex from 34 plus or minus 1% to 43 plus or minus 2% and a...

Regional myocardial blood flow was measured in nine dogs at rest and during three levels of treadmill exercise by using left atrial injections of 7-10-mum radioactive microspheres. At rest, heart rate was 76 plus or minus 3 beats/min (mean plus or minus SEM), mean left ventricular myocardial flow was 0.94 plus or minus 0.09 ml/min/g and endocardial flow (endo) exceeded epicardial flow (epi) in ...

We examined the effect of peptone yeast extract glucose broth (PYG), RPMI 1640 and Antibiotic Medium 3 (M3) on the in vitro susceptibility of clinical isolates (n = 200) of Aspergillus fumigatusto amphotericin B (AMB), itraconazole (ITZ) and voriconazole (VCZ). The MICs (mug/mL) of various antifungal agents (geometric mean plus/minus standard deviation) obtained in PYG, RPMI 1640 and M3, respec...