1] the Dirichlet
prior meets our initial requirements.
Among the topics are quadratic points of classical modular curves, p-adic point counting on singular super-elliptic curves, a vanishing criterion for Dirichlet
series with periodic coefficients, the Sato-Tate conjecture for a Picard curve with a complex multiplication, arithmetic twists with abelian extensions, and transcendental numbers with special values of Dirichlet
Allocation (LDA)  is one of the basic and most general models for parametric Bayesian statistics and is a popular topic modeling method developed to automatically extract a set of semantic themes from large collections of documents.
We propose to forecast football games outcomes using a simple predictive elicitation approach (Garthwaite, Kadane, & O'Hagan, 2005; Kadane, 1980), where the hyperparameters of a Categorical Dirichlet
model are elicited using betting odds from different bookmakers.
n]([chi]) denote the n-th Laurent-Stieltjes coefficients around s = 1 of the associated Dirichlet
L-series for a given primitive Dirichlet
character [chi] modulo q.
From the families of multidimensional probability distributions described in literature ,  we chose the Gaussian, Dirichlet
and gamma distributions for analysis because their probability density functions are easy to use in analytical expressions.
The two most known and used constructions in hyperbolic space are the Ford and Dirichlet
Como un ejemplo de aplicacion, se resuelve la ecuacion de Poisson, para una geometria con lados rectos y extremos curvos, con condiciones de frontera Dirichlet
These methods are based on a non-overlapping spatial domain decomposition, and each iteration involves subdomain solves with Dirichlet
boundary conditions followed by subdomain solves with Neumann boundary conditions.
He proposed that the homogeneous Dirichlet
conditions may be satisfied exactly by representing the solution as the product of two functions: (1) an real-valued function that takes on zero values on the boundary points; and (2) an unknown function that allows to satisfy (exactly or approximately) the differential equation of the problem.
The basic boundary value problems for the second-order complex partial differential equations are the harmonic Dirichlet
and Neumann problems for the Laplace and Poisson equations.
The classical formulations of biharmonic problems distinguish the Dirichlet
and Neumann boundary value problems.