Abstract Numerous scholars have argued that in Luke-Acts the location of sacred space or divine presence passes from Jerusalem temple to Jesus, Christian believers, both; Acts, this transfer is understood as integral universal mission. The present article argues such studies overlook important motif heaven temple, which plays a role Jesus’ trial and crucifixion Stephen Cornelius episodes. Using...

We introduce an ultraweak space-time variational formulation for the wave equation, prove its well-posedness (even in case of minimal regularity) and optimal inf-sup stability. Then, we a tensor product-style Petrov–Galerkin discretization with discrete stability, obtained by non-standard definition trial space. As consequence, numerical approximation error is equal to residual, which particula...

OBJECTIVES Vitamin K has bone and cartilage effects, and previously shown to be associated with radiographic osteoarthritis. We evaluated vitamin K's effect on hand osteoarthritis in a randomised controlled trial. METHODS This was an ancillary study to a randomised controlled trial assessing the effects of phylloquinone supplementation (vitamin K arm) versus placebo on bone loss and vascular ...

Conventional decoding methods in neuroscience aim to predict discrete brain states from multivariate correlates of neural activity. This approach faces two important challenges. First, a small number of examples are typically represented by a much larger number of features, making it hard to select the few informative features that allow for accurate predictions. Second, accuracy estimates and ...

A quadrature-based mixed Petrov-Galerkin finite element method is applied to a fourth-order linear ordinary differential equation. After employing a splitting technique, a cubic spline trial space and a piecewise linear test space are considered in the method. The integrals are then replaced by the Gauss quadrature rule in the formulation itself. Optimal order a priori error estimates are obtai...

We develop and test three deep-learning recurrent convolutional architectures for learning to recognize single trial EEG event related potentials for P300 brain-computer interfaces (BCI)s. One advantage of the neural network solution is that it provides a natural way to share a lower-level feature space between subjects while adapting the classifier that works on that feature space. We compare ...

We propose and analyse a fully discrete Petrov–Galerkin method with quadrature, for solving second-order, variable coefficient, elliptic boundary value problems on rectangular domains. In our scheme, the trial space consists of C2 splines of degree r 3, the test space consists of C0 splines of degree r − 2, and we use composite (r − 1)-point Gauss quadrature. We show existence and uniqueness of...

In this paper, we formalize the Menger probabilistic normed space as a category in which its objects are the Menger probabilistic normed spaces and its morphisms are fuzzy continuous operators. Then, we show that the category of probabilistic normed spaces is isomorphicly a subcategory of the category of topological vector spaces. So, we can easily apply the results of topological vector spaces...