There Are Not Too Many Magic Configurations

Analyzing Preference Rankings when There Are Too Many Alternatives

Consumer preferences can be measured by rankings of alternatives. When there are too many alternatives, this consumer task becomes complex. One option is to have consumers rank only a subset of the available alternatives. This has an impact on subsequent statistical analysis, as now a large amount of ties is observed. We propose a simple methodology to perform proper statistical analysis in thi...

too many students’ congresses, are they necessary and useful?

A.E.C. with Not Too Many Models

Consider an a.e.c. (abstract elementary class), that is a class K of models with a partial order refining being submodels which satisfy the most basic properties of an elementary class. Our test question is trying to show that the function ˙ I(λ, K), counting the number of models in K of cardinality λ up to isomorphism, is " nice " , not chaotic, even not assuming it is 1, i.e. categoricity. We...

How many tastes are there?

How many basic tastes are there? Most people list four: sweet, sour, salty and bitter. Those with a background in the chemosensory sciences usually add a fifth, umami. But why stop there? There is growing evidence that there are more—perhaps many more. The idea that there are four basic tastes goes back at least as far as ancient Greece, so if there are more than four basic tastes why haven't t...

There are many Mediterranean diets.

Interest in Mediterranean diet began 30 years ago, when Ancel Keys published the results of the famous Seven Countries Study, Since 1945, almost 1.3 million people have come to Australia from Mediterranean countries as new settlers. There are 18 countries with coasts on the Mediterranean sea: Spain, southern France, Italy, Malta, Croatia, Bosnia, Albania, Greece, Cyprus, Turkey, Syria, Lebanon,...