Lipschitz functions are interesting, but can be very rough (these can have many kinks). In many situations the functions can be much smoother. This is how you would model the temperature inside a museum room for example. Often we don’t know how smooth the function might be, so an interesting question is if we can adapt to the unknown smoothness. In this lecture we will use the Maximum Complexit...

nents of biomolecules, such as polysaccharides, nucleic acids, glycolipids and glycoproteins. In addition, numerous secondary metabolites in plants, such as terpenoids, steroids, and flavonoids, exist as glycosides, which conjugate with aldoses. Aldoses are optically active compounds, and confirmation of absolute configuration is required in natural product chemistry. Measurement of specific ro...

Yi i.i.d. ∼ pθ∗ , i = {1, . . . , n} where θ∗ ∈ Θ. We can view pθ∗ as a member of a parametric class of distributions, P = {pθ}θ∈Θ. Our goal is to use the observations {Yi} to select an appropriate distribution (e.g., model) from P. We would like the selected distribution to be close to pθ in some sense. We use the negative log-likelihood loss function, defined as l(θ, Yi) = − log pθ(Yi). The e...

Ana Gabriela Reis Solano* Faculdade de Farmácia, Universidade Federal de São João Del Rei, Rua Sebastião Gonçalves Coelho, 400, 35501-296 Divinópolis – MG / Departamento de Produtos Farmacêuticos, Faculdade de Farmácia, Universidade Federal de Minas Gerais, Av. Pres. Antônio Carlos, 6627, 31270-901 Belo Horizonte – MG, Brasil Gisele Rodrigues da Silva Faculdade de Farmácia, Universidade Federal...

This communication presents the treatment of 15 cases of c-shaped canals in molars and their treatment outcome with two different obturation methods. The data from 901 patients who received root canal treatment in a molar tooth were examined regarding c-shaped root canals, their treatment and their status one year post op. Among the 901 cases, 15 molars had a c-shaped root canal morphology (1,6...

5 Guilherme Martins1, Maira Oliveira1, Ana Flávia Botelho1, Conrado Gamba2, Clara Duarte3, 6 Adriane Bicalho1, Geovanni Cassali2, Alfredo Goes2, Carlos Chávez-Olórtegui2, Benito 7 Soto-Blanco1 and Marilia Melo1* 8 9 1 Escola de Veterinária, Universidade Federal de Minas Gerais, Belo Horizonte 31270-901, Minas 10 Gerais, Brazil; [email protected] (GM); [email protected] (MO);...