In many common data analysis scenarios the data elements are logically grouped into sets.
Venn and Euler style diagrams are a common visual representation of such set membership …

Urban areas are key sources of greenhouse gas (GHG) emissions and also are vulnerable
to climate change. The recent IPCC Fifth Assessment Report illustrates a clear need for …

The use of diagrams in mathematics has traditionally been restricted to guiding intuition and
communication. With rare exceptions such as Peirce's alpha and beta systems, purely …

Visualizing sets to reveal relationships between constituent elements is a complex
representational problem. Recent research presents several automated placement and …

Euler diagrams visually represent containment, intersection and exclusion using closed
curves. They first appeared several hundred years ago, however, there has been a …

This article is focused on the rules that we create using drawings (designs, pictures,
paintings, etc.) which will be termed 'graphic rules'. Its attention is therefore not simply on the …

In the common use of logic diagrams, the positive term is conveniently located inside the
circle while its negative counterpart is left outside. This practice, already found in Euler's …

Constraint diagrams are a diagrammatic notation which may be used to express logical
constraints. They generalize Venn diagrams and Euler circles, and include syntax for …

We propose a visualization of OCL within the context of the UML meta model, so that OCL
expressions are represented by extending collaboration diagrams. We exploit the OCL meta …

Euler diagrams have been used for centuries as a means for conveying ideas in an intuitive,
informal way. Recently much research has been conducted to develop formal, diagrammatic …