Simplicial maps from the 3-sphere to the 2-sphere.
Skewsquares in quadratical quasigroups
The concept of pseudosquare in a general quadratical quasigroup is introduced and connections to some other geometrical concepts are studied. The geometrical presentations of some proved statements are given in the quadratical quasigroup .
Sliding subspace design based on linear matrix inequalities
In this work, an alternative for sliding surface design based on linear and bilinear matrix inequalities is proposed. The methodology applies for reduced and integral sliding mode control, both continuous- and discrete-time; it takes advantage of the Finsler's lemma to provide a greater degree of freedom than existing approaches for sliding subspace design. The sliding surfaces thus constructed are systematically found via convex optimization techniques, which are efficiently implemented in commercially...
Sobre la geometría de la diferencia simétrica.
Soddyho kružnice
Soddyho kružnice, které jsou řešením speciálního případu Apollóniových úloh, upoutaly pozornost matematické komunity především poté, co byly roku 1936 některé jejich vlastnosti publikovány Frederickem Soddym ve formě básně. Studovány však byly již v 17. století. Kromě historie popíšeme jejich konstrukci, vyjádříme jejich poloměry a představíme některé s nimi související geometrické útvary.
Software for Geometry
Solution de la question proposée au concours pour les deux académies de Montpellier et d'Aix (année 1870)
Solution des exercices sur le tétraèdre proposés par M. Genty
Solution des questions de géométrie élémentaire proposées par M. Casimir Rey (voir même tome, p. 273)
Solution d'un problème de géométrie
Solution d'une question du concours d'agrégation de 1864
Solution d'une question du concours d'agrégation de 1865
Solution d'une question géométrique
Solution d'une question proposée par M. Catalan
Solution of Moufang problems.
Solvable collineation groups of smooth projective planes.
Solvable linear groups on vector spaces whose dimension is the product of two primes.
Some Amalgams of type 2A6 in a field of characteristic 3
Some cases of compatibility of the tangency relations of sets.
Some characteristic and non-characteristic properties of inner product spaces