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University of Natural Sciences

We start with irrationality proofs. Historically, the first ones concerned irrational algebraic numbers, like the square roots of non square positive integers. Next, the theory of continued fraction expansion provided a very useful tool. Among the first proofs of irrationality for numbers which are now known to be transcendental are the ones by H. Lambert and L. Euler, in the XVIIIth century, f...

Polish Journal of Natural Sciences

An evaluation of lesions in the livers of Black and White cattle, aged 4 to 7, naturally infested with Fasciola hepatica was performed. The studies included a comprehensive analysis of histological lesions and liver enzyme activities determined with histochemical methods depending on the degree of natural Fasciola hepatica infestation. The studies revealed increased number of reticular fibres, ...

Emergence in Exact Natural Sciences

The context of an operational description is given by the distinction between what we consider as relevant and what as irrelevant for a particular experiment or observation. A rigorous description of a context in terms of a mathematically formulated context-independent fundamental theory is possible by the restriction of the domain of the basic theory and the introduction of a new coarser topol...

Polish Journal of Natural Sciences

Field experiments conducted during the years 2003-2005 showed that the rate of photosynthesis and transpiration decreased as a result of pea infection by Peronospora viciae. Foliar application of effective microorganisms (EM) combined with chemical control increased the rate of photosynthesis in pea, while other methods of EM application reduced net photosynthesis values (An). Chemical control ...