Let A1,…,Am be families of k-subsets an n-set. Suppose that one cannot choose pairwise disjoint edges from s+1 distinct families. Subject to this condition we investigate the maximum |A1|+…+|Am|. Note subcase m=s+1, A1=…=Am is Erdős Matching Conjecture, most important open problems in extremal set theory. We provide some upper bounds, a general conjecture and its solution for range n≥4k2s.

Vasopressin is the primary hormone regulating urine-concentrating ability. Vasopressin phosphorylates the UT-A1 urea transporter in rat inner medullary collecting ducts (IMCDs). To assess the effect of UT-A1 phosphorylation at S486, we developed a phospho-specific antibody to S486-UT-A1 using an 11 amino acid peptide antigen starting from amino acid 482 that bracketed S486 in roughly the center...

It is known that, due to the fact that L1,∞ not a Banach space, if (Tj)j sequence of bounded operators so thatTj:L1⟶L1,∞, with norm less than or equal ||Tj|| and ∑j||Tj||<∞, nothing can be said about operator T=∑jTj. This origin many difficult open problems. However, we assume thatTj:L1(u)⟶L1,∞(u),∀u∈A1, φ(||u||A1)||Tj||, where φ nondecreasing function A1 Muckenhoupt class weights, then prove e...

The combustion quality and energy content of Jet fuel are important to characteristics. There some essential performance characteristics include density, flash point, freezing kinematic viscosity at -20o C, smoke distillation temperatures should be detected controlled. In this study, an experimental investigation was performed in order determine the effects polylactic acid, tetrahydrofuran, A1 ...