Sweat is a most efficient natural moisturizer providing protective immunity at points of allergen entry

Linear Spaces with at Most Points

The linear spaces on points are constructed The parameters of the geometries play an important role In order to make generation easy we construct possible parameter sets for geometries rst purely algebraically Afterwards the corresponding geometries are tried to construct We de ne line types point types point cases and also re ned line types These are the rst three steps of a general decomposit...

Natural deduction for belief at most

We present a new approach to the logic of at most, introducing the notion of parametric propositions to modal natural deduction proofs. We apply the method with a natural deduction formulation of the doxastic logic N, a new system in the “only knowing” family. Using parametric proof rules, we give introduction and elimination rules for belief at most that directly match the natural second-order...

Regular Projections of Graphs with at Most Three Double Points

We investigate some relations between a generic immersion of a graph into the 2-space with small number of double points and the embeddings of the graph into the 3-space obtained by lifting the immersion with respect to the natural projection from the 3-space to the 2-space. Specifically we prove: (1) An embedding of a graph obtained from a generic immersion of the graph with at most three doub...

Natural Biopolymers is an Efficient Catalyst for the Synthesis of 1,3,5-Trisubstituted Pyrazoles

Cellulose sulfuric acid is an efficient metal-free catalyst for the synthesis of 1,3,5-trisubstituted pyrazoles via the condensation of 1,3-diketones and hydrazines. The reaction was carried out in Solvent-free condition at room temperature and the products were isolated in good to excellent yields. Mild reaction conditions, as well as ease of operation and workup are some advantages of the pro...

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