Some clusters of children with a multisystem inflammatory syndrome associated with SARS-CoV-2 infection (MIS-C) have been reported. We describe the epidemiological and clinical features of children with MIS-C in Spain. MIS-C is a potentially severe condition that presents in children with recent SARS-CoV-2 infection.
A notion of (average) fractal Euler number for subsets of R d with infinite singular complexes is introduced by means of rescaled Euler numbers of infinitesimal -neighbourhoods. For certain classes of self-similar sets we calculate the associated Euler exponent and the (average) fractal Euler number with the help of the Renewal theorem. Examples like the Sierpinski gasket or carpet are provided.
We provide an algorithm for computing the centered Hausdorff measures of self-similar sets satisfying the strong separation condition. We prove the convergence of the algorithm and test its utility on some examples.2000 Mathematics Subject Classification. Primary 28A75, 28A80.
We present an algorithm to compute the exact value of the packing measure of self-similar sets satisfying the so called SSC and prove its convergence to the value of the packing measure. We also test the algorithm with examples that show both, the accuracy of the algorithm for the most regular cases and the possibility of using the additional information provided by it to obtain formulas for the packing measure of certain self-similar sets. For example, we are able to obtain a formula for the packing measure of any Sierpinski gasket with contractio factor in the interval (0, 1/3] (Theorem 2).
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