an object $x$ of a category $mathbf{c}$ with finite limits is called exponentiable if the functor $-times x:mathbf{c}rightarrow mathbf{c}$ has a right adjoint. there are many characterizations of the exponentiable  spaces in the category $mathbf{top}$ of topological spaces. here, we study the exponentiable objects in the category $mathbf{stop}$ of soft topological spaces which is a generalizati...

The main purpose of this paper is to study the approximate best proximity pair of cyclic maps and their diameter in fuzzy normed spaces defined by Bag and Samanta. First, approximate best point proximity points on fuzzy normed linear spaces are defined and four general lemmas are given regarding approximate fixed point and approximate best proximity pair of cyclic maps on fuzzy normed spaces. U...

Hundreds of experiments over the last decade on the retrieval of OCR documents performed by the Information Science Research Institute have shown that OCR errors do not significantly affect retrievability. We extend those results to show that in the case of proximity searching, the removal of running headers and footers from OCR text will not improve retrievability for such searches.

Let X be an arrangement of n algebraic sets Xi in d-space, where the Xi are either parametrized or zero-sets of dimension 0 ≤ mi ≤ d − 1. We study a number of decompositions of d-space into connected regions in which the distance-squared function to X has certain invariances. Each region is contained in a single connected component of the complement of the bifurcation set B of the family of dis...

In order to retrieve best documents for finding answers, we developed a robust proximity search engine. It efficiently finds relevant passages. In addition, our search engine has two disjunction operators: or and or2. The former works just like addition, whereas the latter works just like logical disjunction. The operator or2 is used to introduce synonyms and antonyms of a query term. The searc...

In this paper, we propose a novel ICP variant that uses a histogram in conjunction with multiple closest points to detect the overlap area between range images geing registered. Tentative correspondences sharing similar distances are normally all within, or all outside, the overlap area. Thus, the overlap area can be detected in a bin by bin batch manner using a histogram. Using multiple closes...

Head and neck soft tissues calcifications can result from physiological or pathological mineralization. Some of these calcifications may be found on panoramic radiography because of their proximity to the focal trough and their superimposition over hard and soft tissue structures. Such radiographic images are common and create a diagnostic challenge. Differentiation of these entities can be don...

Clear cell sarcoma (CCS), initially named malignant melanoma of soft parts, is a rare malignant neoplasm typically involving deep soft tissue of the extremities, in close proximity to tendons and aponeuroses. Here we describe a case of clear cell sarcoma of the right parapharyngeal region in a young female aged 20 years. MRI detected a mass about 4.4 cm×3.4 cm×3.0 cm, located in the right parap...

Oroantral communication (OAC) is a common complication following extraction of maxillary premolar and molar teeth. This is due to the close anatomic proximity of the roots of these teeth to the maxillary sinus. The most frequent methods utilized in the office described in the literature to close an oroantral communication involve the use of a buccal or palatal rotational advancement flap or use...

Although the solution self-assembly of block copolymers has enabled the fabrication of a broad range of complex, functional nanostructures, their precise manipulation and patterning remain a key challenge. Here we demonstrate that spherical and linear supermicelles, supramolecular structures held together by non-covalent solvophobic and coordination interactions and formed by the hierarchical s...