Fitness apps, such as Strava, are a growing source of data for mapping bicycling ridership, due to large samples and high resolution. To overcome bias introduced by generated from only fitness app users, researchers build statistical models that predict total integrating Strava with official counts geographic data. However, studies conducted on single cities provide limited insight best practic...

Bresar in 1993 proved that each biderivation on a noncommutative prime ring is a multiple of a commutatot. A result of it is a characterization of commuting additive mappings, because each commuting additive map give rise to a biderivation. Then in 1995, he investigated biderivations, generalized biderivations and sigma-biderivations on a prime ring and generalized the results of derivations fo...

Abstract In this article, we introduce two new types of generalized contraction mappings in double controlled metric type spaces: Θ-double mapping and Ćirić-Reich-Rus-type-Θ-double mapping. For each mapping, establish the existence uniqueness fixed point theorems on complete space provide examples. We present an application our results demonstrate how generalize several existing literature.

In this thesis, generalized Dyson boson-fermion mappings are considered. These are techniques used in the analysis of the quantum many-body problem, and are instances of so-called boson expansion methods. A generalized Dyson boson-fermion mapping, or a Dyson mapping for short, is a one-to-one linear but non-unitary operator that can be applied to vectors representing the states of a many-fermio...