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Now showing items 11-17 of 17
How to choose a winner: the mathematics of social choiceWie man einen Sieger wählt: die Mathematik der Sozialwahl
[SNAP-2015-009-ENSNAP-2015-009-DE] (Mathematisches Forschungsinstitut Oberwolfach, 2015)
[also available in German] Suppose a group of individuals wish to choose among several options, for example electing one of several candidates to a political office or choosing the best contestant in a skating competition. ...
Ideas of Newton-Okounkov bodies
[SNAP-2015-008-EN] (Mathematisches Forschungsinstitut Oberwolfach, 2015)
In this snapshot, we will consider the problem of finding the number of solutions to a given system of polynomial equations. This question leads to the theory of Newton polytopes and Newton-Okounkov bodies of which we will ...
Darcy's law and groundwater flow modelling
[SNAP-2015-007-EN] (Mathematisches Forschungsinstitut Oberwolfach, 2015)
Formulations of natural phenomena are derived, sometimes, from experimentation and observation. Mathematical methods can be applied to expand on these formulations, and develop them into better models. In the year 1856, ...
The mystery of sleeping sickness – why does it keep waking up?
[SNAP-2015-015-EN] (Mathematisches Forschungsinstitut Oberwolfach, 2015)
Sleeping sickness is a neglected tropical disease that affects rural populations in Africa. Deadly when untreated, it is being targeted for elimination through case finding and treatment. Yet, fundamental questions about ...
Curriculum development in university mathematics: where mathematicians and education collide
[SNAP-2015-011-EN] (Mathematisches Forschungsinstitut Oberwolfach, 2015)
This snapshot looks at educational aspects of the design of curricula in mathematics. In particular, we examine choices textbook authors have made when introducing the concept of the completness of the real numbers. Can ...
From computer algorithms to quantum field theory: an introduction to operads
[SNAP-2015-017-EN] (Mathematisches Forschungsinstitut Oberwolfach, 2015)
An operad is an abstract mathematical tool encoding operations on specific mathematical structures. It finds applications in many areas of mathematics and related fields. This snapshot explains the concept of an operad and ...
Visual analysis of Spanish male mortalityEine visuelle Analyse der Sterblichkeit männlicher Spanier
[SNAP-2015-012-ENSNAP-2015-012-DE] (Mathematisches Forschungsinstitut Oberwolfach, 2015)
[also available in German] Statistical visualization uses graphical methods to gain insights from data. Here we show how a technique called principal component analysis is used to analyze mortality in Spain over about the ...