Introduction. Numerous devices have been introduced for correction of Class III malocclusion and maxillary deficiency. Aim. To assess the dentoskeletal effects of miniplates combined with Class III traction in treating Cl III malocclusion and maxillary deficiency in growing patients. Methods. This case describes the treatment of a maxillary-deficient 11-year-old boy by using miniplates. The pat...

Let Ay = f , A is a linear operator in a Hilbert space H, y ⊥ N (A) := {u : Au = 0}, R(A) := {h : h = Au, u ∈ D(A)} is not closed, f δ − f ≤ δ. Given f δ , one wants to construct u δ such that lim δ→0 u δ − y = 0. A version of the DSM (dynamical systems method) for finding u δ consists of solving the problem ˙ u δ (t) = −u δ (t) + T −1 a(t) A * f δ , u(0) = u 0 , (*) where T := A * A, T a := T ...

Notes taken by Karel Král, Martin Balko and Vojta Tůma at REU 2013. Discrepancy theory grew out of the study of irregularities of distributions and number sequences, or, in layman’s terms, trying to be an egalitarian economist. From its number theoretic origins in early nineteenth century, discrepancy theory has developed into a rich and beautiful field over the last three decades. Besides bein...

We propose a method to optimize the representation and distinguishability of samples from two probability distributions, by maximizing the estimated power of a statistical test based on the maximum mean discrepancy (MMD). This optimized MMD is applied to the setting of unsupervised learning by generative adversarial networks (GAN), in which a model attempts to generate realistic samples, and a ...

The GolbergerTreiman discrepancy ∆GT = 1 − mNgA fπGπN is related to the asymptotic behaviour of the pionic form factor of the nucleon obtained from baryonic QCD sum rules. The result is .015 . ∆GT . .022. The Goldberger-Treiman relation (GTR) [1] mNgA = fπGπN (1) which relates the nucleon mass mN , the axial-vector renormalization constant in β − decay gA, the πdecay constant fπ and the π − N c...