Independence algebras were introduced in the early 1990s by specialists in semigroup theory, as a tool to explain similarities between the transformation monoid on a set and the endomorphism monoid of a vector space. It turned out that these algebras had already been defined and studied in the 1960s, under the name of v∗-algebras, by specialists in universal algebra (and statistics). Our goal i...

Previous experimental results have clearly demonstrated the effectiveness of utilizing context-specific independence (CSI) in probabilistic inference. However, CSI is a special case of a more general independence called contextual weak independence (CWI). In this paper, we show how CWI can be utilized for more efficient probabilistic inference. These results are quite significant as they sugges...

The study of surfaces in threeand higher-dimensional spaces has seen a resurgence of interest recently due to various applications of these surfaces to various areas of mathematical physics, especially to the area of integrable systems [1, 6, 8]. The particular class of surfaces known as minimal surfaces with constant mean curvature has many applications to various physical problems. It is the ...