The Grothendieck property of Weak Lp spaces and Marcinkiewicz spaces

In this master thesis the proof of Lotz that Weak Lp spaces have the Grothendieck property is studied. The proof is slightly modified to be more explicit and easier to comprehend by introducing lemma’s to better separate different parts of the proof that more clearly reveal its structure. Furthermore, the more general Marcinkiewicz spaces are...

The application of continued fractions in Christiaan Huygens' planetarium

Comissioned by the minister of Finance of King Louis XIV, Christiaan Huygens designed a planetarium by using continued fractions to approximate the orbital periods of multiple planets. This planetarium was built by Johannes van Ceulen. An algorithm devised by Alexander Ostrowski can be used to prove that the approximation by convergents is, in a...