Euler Diagram Isomorphism Gem Stapleton Visual Modelling Group University of Brighton, UK [email protected] Andrew Fish Visual Modelling Group University of Brighton, UK [email protected] Peter Rodgers Computing Laboratory University of Kent, UK [email protected]

α1 α2 α3 α4 inModR. If the rows are exact, then the following statements hold. (1.3.a) If γ2 and γ4 are injective and γ1 is surjective, then γ3 is injective. (1.3.b) If γ2 and γ4 are surjective and γ5 is injective, then γ3 is surjective. Proof. First we prove (1.3.a). So suppose that γ2 and γ4 are injective and γ1 is surjective. Start with m3 ∈ M3 with the property that γ3(m3) = 0. The goal is ...

NOTICE OF DISCLAIMER: Xilinx is providing this design, code, or information "as is." By providing the design, code, or information as one possible implementation of this feature, application, or standard, Xilinx makes no representation that this implementation is free from any claims of infringement. You are responsible for obtaining any rights you may require for your implementation. Xilinx ex...

XMI is a standardized mechanism for exchanging UML models. However, this mechanism does not sufficiently fulfill the goal of a model interchange: it does not include the exchange of diagram information. XMI as defined for UML 1.x is only capable of transporting information on the elements in an UML model but not information as to how these elements are represented and laid out in diagrams. This...

Here, we conceptualize the phase diagram of collective short-term bio-chemo-electric component of neurodynamics (S-ND) on the parameter space of externally, e.g., pharmacologically, controllable single-neuron parameters such as the resting potential and/or firing threshold, repolarization time, etc. This concept may become a useful tool for the systematization of knowledge in anesthesiology and...

We develop diagram techniques for proving connuence in abstract reductions systems. The underlying theory gives a systematic and uniform framework in which a number of known results, widely scattered throughout the literature, can be understood. These results include Newman's

Taking both perceptual organization and aesthetic criteria into account is the key to high-quality diagram layout, but makes for a more di cult problem than pure aesthetic layout. Computing the layout of a network diagram that exhibits a speci ed perceptual organization can be phrased as a constraint-satisfaction problem. Some constraints are derived from the perceptual-organization speci catio...

Euler Diagrams are a well-known visualisation of set-based relationships, used in many application areas and at the basis of more complex notations. We propose a static code for concrete Euler Diagrams, which enables efficient storage (vs. storage of concrete diagrams), and transformations preserving concrete-level structure, hence the viewer’s mental map. We provide the theoretical underpinnin...