In this paper, we give a kind of Cauchy 1-completeness in probabilistic quasi-uniform spaces by using 1-filters. Utilizingthe relationships among probabilistic quasi-uniformities, classical quasi-uniformities and Hutton [0, 1]-quasi-uniformities,we show the relationships between their completeness. In fuzzy quasi-metric spaces, we establish the relationshipsbetween the completeness of induced p...

Publications Methodological articles [1] J L Hutton. Non-negative time series models for dry river flow. [2] J L Hutton and R G Owens. Bayesian sample size calculations and prior beliefs about child sexual abuse. [5] J L Hutton and P J Solomon. Parameter orthogonality in mixed regression models for survival data. Individual patient data meta-analysis of randomised anti-epileptic drug monotherap...

We introduce and discuss a notion of fuzzy uniform structure that provides a direct link with the classical theory of uniform spaces. More exactly, for each continuous t-norm we prove that the category of all fuzzy uniform spaces in our sense (and fuzzy uniformly continuous mappings) is isomorphic to the category of uniform spaces (and uniformly continuous mappings) by means of a covariant func...

The concept of the rock cycle and the “indefinite” length of geologic time were outlined first by James Hutton before he had ever seen an unconformity. Hutton drew general support of his theory from existing observations of unconformities from accounts in French, which he re-interpreted in light of his own ideas. Hutton then found his own field examples to test his ideas before coming upon Sicc...

Department of Gene Expression, Institute of Molecular Biology and Biotechnology, Adam Mickiewicz University, Poznan, Poland, Department of Molecular and Cellular Biology, Institute of Molecular Biology and Biotechnology, Adam Mickiewicz University, Poznan, Poland, Max Planck Institute for Plant Breading Research, 50829, Germany, Biomathematics and Statistics Scotland (BioSS), James Hutton Insti...

incredible diversity of explanatory systems (some heuristic, others theoretic) dauntingly facing the young medical thinker or natural philosopher in the mid-eighteenth century. Thus Hutton opted for belief in five chemical principles (for Hutton principles were ad hoc labellings rather than ultimate constituents of Nature): salt, water, sulfur, earth, and air. It was as good a classification as...