In this paper we present several proofs on the extension of M. Riesz fractional integration and di¤erentiation to the contexts of spaces of homogeneous type and measure metric spaces with non-doubling measures. 1. Introduction, some de…nitions, and a basic lemma Professor M. Ash asked me to write a survey article on some of the results that Stephen Vági and I obtained in the nineties on fractio...

As the number of systems which offer annotations on digital documents increases, robust anchoring of annotations is a key challenge. It is especially important if the annotator lacks write-access to the document being annotated. For example, if someone makes an annotation on a web page today and the web page changes tomorrow, what happens to the annotation? One approach is simply to “orphan” th...

The protein, amino acid composition of crops used in the production of bakery products has been thoroughly studied. The protein content amounted in wheat (21%), rye (18,2%), corn (13.1 %). Higher biological value proteins differed rye that 46.7% of the essential amino acids. The range for solubility of proteins of wheat, rye and corn was set. The highest albumin content was noted in the composi...