Participants were pretrained and tested on mutually entailed trigonometric relations and combinatorially entailed relations as they pertained to positive and negative forms of sine, cosine, secant, and cosecant. Experiment 1 focused on training and testing transformations of these mathematical functions in terms of amplitude and frequency followed by tests of novel relations. Experiment 2 addre...

ess as: 2), http: athemat s.2012.0 Abstract Two Gauss functions are said to be contiguous if they are alike except for one pair of parameters, and these differ by unity. Contiguous relations are of great use in extending numerical tables of the function. In this paper we will introduce a new method for computing such types of relations. a 2012 Egyptian Mathematical Society. Production and hosti...

Observing the evolution of a pathology in medical images, or of soil occupation in remote sensing, detecting changes in video sequences, updating a spatial information system are examples that can all benefit from quantification and comparison of spatial relations between objects in the observed scenes. In this paper, we propose two approaches to compare spatial relations represented as fuzzy s...

Intuitive knowledge management and user interfaces need a good understanding of the respective users and practices. We are especially interested in the target group of users of mathematical knowledge. One important mathematical practice consists in using mathematical expressions, which evolved as concise and precise representations of mathematical knowledge and as such guide and inform mathemat...

The Born rule provides a link between the mathematical formalism of quantum theory and experiment, and as such is almost single-handedly responsible for practically all predictions of quantum physics. In the history of science, on a par with the Heisenberg uncertainty relations (→ indeterminacy relations) the Born rule is often seen as a turning point where indeterminism entered fundamental phy...

In this paper we prove that any quantale Q is (isomorphic to) a quantale of suitable relations on Q. As a consequence two isomorphism theorems are also shown with suitable sets of functions of Q into Q. These theorems are the mathematical background one needs in order to give natural and complete semantics for (non-commutative) Linear Logic using relations. 1991 Mathematics Subject Classificati...

Aggregation of fuzzy relations on alternatives with the help of aggregation operators is considered in two cases: – the weighted coefficients of the criteria are not present in the mathematical formula of the aggregation operators; – a fuzzy preference relation between the criteria importance is given. The main result consists in proving the properties of the aggregated relation in dependence w...

What is the difference between an entity relationship model and a relational model? and also for a mathematical ordered-tuple set representing one, is a "relation". represents information as tuples, directly mapped to a relational schema. By posting your answer, you agree to the privacy policy and terms of service. RDFS offers taxonomic relations, object relations and datatype properties. Web L...

We give a monoid presentation in terms of generators and defining relations for the partial analogue of the finite dual inverse symmetric monoid. AMS 2000 Mathematical Subject Classification 20M05, 68R15, 20M20.

These are notes of lectures given at the CMI conference in August, 2014 at ICMAT in Madrid. The focus is on some mathematical questions associated to Feynman amplitudes, including Hodge structures, relations with string theory, and monodromy (Cutkosky rules).