The notion of stratified (L, M)-semiuniform convergence tower spaces is introduced, which extends the notions ofprobabilistic semiuniform convergence spaces and lattice-valued semiuniform convergence spaces. The resulting categoryis shown to be a strong topological universe. Besides, the relations between our category and that of stratified (L, M)-filter tower spaces are studied.

We have addressed potential contamination of PM(2.5) filter samples by nicotine from cigarette smoke. We collected two nicotine samples - one nicotine sampling filter was placed inline after the collection of PM(2.5) and the other stood alone. The overall correlation between the two nicotine filter levels was 0.99. The nicotine collected on the "stand-alone" filter was slightly greater than tha...

we consider properties of residuated lattices with universal quantifier and show that, for a residuated lattice $x$, $(x, forall)$ is a residuated lattice with a quantifier if and only if there is an $m$-relatively complete substructure of $x$. we also show that, for a strong residuated lattice $x$, $bigcap {p_{lambda} ,|,p_{lambda} {rm is an} m{rm -filter} } = {1}$ and hence that any strong re...

This document provides solutions to the exercises in “Iterated Ultrapowers for the Masses”. 3.3. Exercise. Let U be anM-amenable ultrafilter on the parametricallyM-definable subsets of M . We begin by showing that U2 is a filter on the parametricallyM-definable subsets of M2. Let X,Y ⊆M2 be parametrically M-definable. Let Z = {m ∈M : (X ∩ Y )|m ∈ U}, Z1 = {m ∈M : X|m ∈ U}, Z2 = {m ∈M : Y |m ∈ U...

in this article, the effect of cells' radius on the behavior of wavelength switching optical filter andthe effect of the radius of the optical filters' key characteristics such as wavelength resonance onan optical filter based on photonic crystals, have been investigated. currently, the most commonapplied mechanism for designing optical filter based on photonic crystals is using twome...

background: the present study investigated the effect of the middle east dust storm episodes on the concentration and composition of pm 10 during april to september 2013 in sanandaj city, western iran. methods: sampling was once every six days, and on dusty days using an omni air sampler. the pm 10 sample was collected on polytetrafluoroethylene filters. average of 24 h values of pm 10 mass con...