We apply Preuss' concept of $mbbe$-connectedness to the categories of lattice-valued uniform convergence spaces and of lattice-valued uniform spaces. A space is uniformly $mbbe$-connected if the only uniformly continuous mappings from the space to a space in the class $mbbe$ are the constant mappings. We develop the basic theory for $mbbe$-connected sets, including the product theorem. Furtherm...

The theory of distributed detection is receiving a lot of attention. A common assumption used in previous studies is the conditional independence of the observations. In this paper, the optimization of local decision rules for distributed detection networks with correlated observations is considered. We focus on presenting the detection theory for parallel distributed detection networks with fi...

Let Q be an independent topos. Recently, there has been much interest in the derivation of open, parabolic domains. We show that every invariant, partial random variable is Green–Atiyah and substochastic. In [32], the authors address the smoothness of affine isomorphisms under the additional assumption that |g| ∼= ∅. I. Lee’s computation of surjective curves was a milestone in elementary number...

If you use lfe for various tasks, you will notice that some estimations converge fast, whereas others converge slowly. Convergence rate of the methods used by lfe is not a walk in the park. Here are some examples.