Monochromatic Magnitudes of Mars in 1954

Magnitudes of fractions 1 RUNNING HEAD: MAGNITUDES OF FRACTIONS Representations of the Magnitudes of Fractions

We tested whether adults can use integrated, analog, magnitude representations to compare the values of fractions. The only previous study on this question concluded that even college students cannot form such representations and instead compare fraction magnitudes by representing numerators and denominators as separate whole numbers. However, atypical characteristics of the presented fractions...

Monochromatic paths and monochromatic sets of arcs in bipartite tournaments

We call the digraph D an m-coloured digraph if the arcs of D are coloured with m colours and all of them are used. A directed path is called monochromatic if all of its arcs are coloured alike. A set N of vertices of D is called a kernel by monochromatic paths if for every pair of vertices there is no monochromatic path between them and for every vertex v in V (D) \ N there is a monochromatic p...

Grounding magnitudes

Over the last few decades, different studies have been directed toward a better understanding of how humans use perceptual information in order to estimate magnitudes. Converging data from different research domains indicate that the processing of time, space, and other quantities frequently unfold together in the human brain and cognition. The idea of a common metric that regulates the ability...

Mental Magnitudes

Monochromatic cycles and monochromatic paths in arc-colored digraphs

We call the digraph D an m-colored digraph if the arcs of D are colored with m colors. A path (or a cycle) is called monochromatic if all of its arcs are colored alike. A cycle is called a quasi-monochromatic cycle if with at most one exception all of its arcs are colored alike. A subdigraph H in D is called rainbow if all its arcs have different colors. A set N ⊆ V (D) is said to be a kernel b...