The ŁII and ŁII1/2 logics were introduced by Godo, Esteva and Montagna in [4] and further developed in my work [2]. These types of logic unite many other known propositional and predicate logics, including the three mainly investigated ones (Godel, Product and Łukasiewicz logic).
The aim of this paper is to show a tight connection between the ŁII logic and the product involutive logic. This logic was introduced by Esteva, Godo, Hájek and Navara in their paper [3].
We will see that all the connectives of the ŁII logic are definable from the connectives of this logic. In addition we show that the ŁII logic is an schernatic extension of this logic by a single axiom. We also make some simplification of the axiomatic system of this logic.
CD163 is a marker of macrophages with anti-inflammatory properties and its soluble form (sCD163) is considered a prognostic predictor of several diseases including type 2 diabetes mellitus (T2DM). We explored sCD163 levels at baseline and after very low-calorie diet (VLCD) or bariatric surgery in 32 patients with obesity (20 undergoing VLCD and 12 bariatric surgery), 32 obese patients with T2DM (22 undergoing VLCD and 10 bariatric surgery), and 19 control subjects. We also assessed the changes of CD163 positive cells of monocyte-macrophage lineage in peripheral blood and subcutaneous adipose tissue (SAT) in subset of patients. Plasma sCD163 levels were increased in obese and T2DM subjects relative to control subjects (467.2±40.2 and 513.8±37.0 vs. 334.4±24.8 ng/ml, p=0.001) and decreased after both interventions. Obesity decreased percentage of CD163+CD14+ monocytes in peripheral blood compared to controls (78.9±1.48 vs. 86.2±1.31 %, p=0.003) and bariatric surgery decreased CD163+CD14+HLA-DR+ macrophages in SAT (19.4±2.32 vs. 11.3±0.90 %, p=0.004). Our data suggest that increased basal sCD163 levels are related to obesity and its metabolic complications. On the contrary, sCD163 or CD163 positive cell changes do not precisely reflect metabolic improvements after weight loss., A. Cinkajzlová, Z. Lacinová, J. Kloučková, P. Kaválková, P. Trachta, M. Kosák, J. Krátký, M. Kasalický, K. Doležalová, M. Mráz, M. Haluzík., and Obsahuje bibliografii
For sequences of rational functions, analytic in some domain, a theorem of Montel’s type is proved. As an application, sequences of rational functions of the best $L_p$-approximation with an unbounded number of finite poles are considered.