Notes on Küstner's double star measures

LECTURE NOTES ON The Star Complement Technique

Notes on Measures in Infant Feeding.

BY G. A. HARRISON, B.A., M.D., Biochemnist, The Hospital for Sick Children, Great Ormond Street. WITH HUGH THURSFIELD, D.M., F.R.C.P. The following notes are written in the hope of once more (Irawinig attention to the danger of using a teaspoon for measurinig drie(l milks. Some phy-sicians prescribe so many " level teaspoonsful," others so many " heaped teaspoonsful " of dried milk. Table 1 shl...

Notes on Metrics, Measures, and Dimensions

Preface In this monograph various notions of measure and content for subsets of metric spaces are considered, and both metric and topological notions of dimension. Some familiarity with basic topics in analysis such as Riemann integrals, metric spaces, and continuous functions is assumed, as in [50, 88, 160], for instance, although a number of definitions and results that are needed are reviewe...

Lecture Notes on Randomness for Continuous Measures

Most studies on algorithmic randomness focus on reals random with respect to the uniform distribution, i.e. the (1/2, 1/2)-Bernoulli measure, which is measure theoretically isomorphic to Lebesgue measure on the unit interval. The theory of uniform randomness, with all its ramifications (e.g. computable or Schnorr randomness) has been well studied over the past decades and has led to an impressi...

3 Notes on Metrics , Measures , and Dimensions

Preface In this monograph various notions related to metric spaces are considered, including Hausdorff-type measures and dimensions, Lipschitz mappings, and the Hausdorff distance between nonempty closed and bounded subsets of a metric space. Some familiarity with basic topics in analysis such as Riemann integrals, open and closed sets, and continuous functions is assumed, as in [60, 100, 187],...