Based on the well-known cardinal characteristics $\mathfrak{s}$, $\mathfrak{r}$ and $\mathfrak{i}$, we introduce nine related by using notion of asymptotic density to characterise different intersection properties infinite sets. We prove several bounds consistency results, e. g. $\mathfrak{s} < \mathfrak{s}_{1/2}$, as well results about possible values $\mathfrak{i}_{1/2}$.

We construct a model for the level by level equivalence between strong compactness and supercompactness with an arbitrary large cardinal structure in which the least supercompact cardinal κ has its strong compactness indestructible under κ-directed closed forcing. This is in analogy to and generalizes [3, Theorem 1], but without the restriction that no cardinal is supercompact up to an inaccess...

this study was conducted to investigate the effects of different temperatures on seed germination of plantago ovata and also to evaluate cardinal temperatures. various constant temperatures (5, 10, 15, 20, 25, 30 and 35ºc) were conducted in a completely randomized design with four replications. the germinated seeds were counted every day and the rate of germination percentage, cumulative germin...

temperature and precipitation are two climatic variables haveing the most significant impact on the variability of crops yield. in this study, the relationship between rainfed barley yield, temperature and rainfall were assessed with both simple correlation and iterative chi-square analysis for eastern azerbaijan in four districts (tabriz, maragheh, sarab and miyaneh). the iterative chi-square ...