16 citations · 23 across the 6 of their papers we have counts for
6 papers
Knowledge Spaces and Learning Spaces
Jean-Paul Doignon, Jean-Claude Falmagne
How to design automated procedures which (i) accurately assess the knowledge of a student, and (ii) efficiently provide advices for further study? To produce well-founded answers,…
On a bounded version of Holder's Theorem and an application to the permutability equation
Jean-Claude Falmagne
The permutability equation G(G(x,y),z) = G(G(x,z),y) is satisfied by many scientific and geometric laws. A few examples among many are: The Lorentz-FitzGerald Contraction, Beer's L…
Note: Axiomatic Derivation of the Doppler Factor and Related Relativistic Laws
Jean-Claude Falmagne, Jean-Paul Doignon
The formula for the relativistic Doppler effect is investigated in the context of two compelling invariance axioms. The axioms are expressed in terms of an abstract operation gener…
Projections of a learning space
Jean-Claude Falmagne
Any subset Q' of the domain Q of a learning space defines a projection of that learning space on Q' which is itself a learning space consistent with the original one. Moreover, suc…
On Verifying and Engineering the Well-gradedness of a Union-closed Family
David Eppstein, Jean-Claude Falmagne, Hasan Uzun
Current techniques for generating a knowledge space, such as QUERY, guarantees that the resulting structure is closed under union, but not that it satisfies wellgradedness, which i…
Algorithms for Media
David Eppstein, Jean-Claude Falmagne
Falmagne recently introduced the concept of a medium, a combinatorial object encompassing hyperplane arrangements, topological orderings, acyclic orientations, and many other famil…