We give sufficient conditions for a differential equation to have a given semisimple group as its Galois group. For any group G with G0 = G1 · . . . · Gr where each Gi is a simple group of type Al, Cl, Dl, E6 or E7, we construct a differential equation over C(x) having Galois group G.

1 Department of Oral Diagnosis and Surgery, School of Dentistry at Araraquara, UNESPUniv Estadual Paulista, SP, Brazil. 2 Department of Morphology, School of Dentistry at Araraquara, UNESPUniv Estadual Paulista, SP, Brazil. 3 Department of Microbiology, Institute of Biomedical Sciences, University of São Paulo, São Paulo, Brazil; 4 Department of Implantology, Santo Amaro University, Sao Paulo, ...

Rogue waves or freak waves are very large amplitude waves compare to the ambient waves in a given sea state. There are very few recording of such waves and therefore, despite years of research, very little is known about their properties. Here we invoke a statistical approach to find out about the typical shape of these giant waves. We consider different sea states and unidirectional vs crossin...

A new species of sponge without skeleton, Halisarca korotkovae sp. nov. is described from the Sea of Okhotsk. It differs from the other species of Halisarca by its different ecological conditions, as well as by its morphology and histology. The new species is characterized by its fulvous colour and by its big nucleolated, eosinophilic microgranular cells (18.7×9.5 to 10.8×7.1 μm) concentrated m...

In many languages a word may be identified, on the syntactic level, by a single vocabulary element or lexeme and a single term from each of a set of closed grammatical categories. For example, the Italian verb form canterá (possible translation: “he will sing”) may be identified, on the one hand, by a vocabulary element which we symbolize in the form CANTARE and, on the other, by the terms “Fut...

Statistical methods for extracting Chinese unknown words usually suffer a problem that superfluous character strings with strong statistical associations are extracted as well. To solve this problem, this paper proposes to use a set of general morphological rules to broaden the coverage and on the other hand, the rules are appended with different linguistic and statistical constraints to increa...

Swedish has – like other Germanic languages – flexible stress placement, which underlies morphological rules and is also based on the individual word’s origin. The achievement of the correct usage when learning Swedish is challenging. As second language learners of Swedish in the classrooms present speakers of a variety of first languages (L1s), the opportunity has been taken to have a closer l...