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Euler Graph Transformations for Euler Diagram Layout [PDF]
Euler diagrams are frequently used for visualizing information about collections of objects and form an important component of various visual languages.
Howse, John +7 more
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Properties of Euler Diagrams [PDF]
Euler diagrams have numerous application areas, with a large variety of languages based on them. In relation to software engineering, such areas encompass modelling and specification including from a formal perspective. In all of these application areas,
Howse, John +3 more
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A Survey of Euler Diagrams [PDF]
Euler diagrams visually represent containment, inpresstersection and exclusion using closed curves. They first appeared several hundred years ago, however, there has been a resurgence in Euler diagram research in the twenty-first century.
Rodgers, Peter
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Embedding wellformed Euler diagrams [PDF]
Euler diagrams are collections of labelled closed curves. They are often used to represent information about the relationship between sets and, as such, they have numerous applications including: visualizing biological data, diagrammatic logics, and ...
Andrew Fish +8 more
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Changing Euler Diagram Properties by Edge Transformation of Euler Dual Graphs [PDF]
Euler diagrams form the basis of several visual modelling notations, including statecharts and constraint diagrams. Recently, various techniques for automated Euler diagram drawing have been proposed, contributing to the Euler diagram generation problem:
Howse, John +5 more
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Euler Sums and Integral Connections
In this paper, we present some Euler-like sums involving partial sums of the harmonic and odd harmonic series. First, we give a brief historical account of Euler’s work on the subject followed by notations used in the body of the paper.
Anthony Sofo, Amrik Singh Nimbran
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On a method of nonlinear optimization for the comparison of spatial structure of molecules [PDF]
To compare the geometry of two or more geometric structures consisting of N ordered points, and which can be considered as solids in three-dimensional space, we developed a method based on the minimization of a certain comparison function.
Chernikova Natalia Yu. +1 more
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Generating Euler Diagrams from Existing Layouts [PDF]
Euler diagrams have a wide variety of uses, from information visualization to logical reasoning. In all of their application areas, the ability to automatically layout Euler diagrams brings considerable benefits.
Howse, John +7 more
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General Euler Diagram Generation [PDF]
Euler diagrams are a natural method of representing set-theoretic data and have been employed in diverse areas such as Visualizing statistical data, as a basis for diagrammatic logics and for displaying the results of database search queries.
Andrew Fish +6 more
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eulerForce: Force-directed Layout for Euler Diagrams [PDF]
Euler diagrams use closed curves to represent sets and their relationships. They facilitate set analysis, as humans tend to perceive distinct regions when closed curves are drawn on a plane.
Rodgers, Peter, Micallef, Luana
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