Arrangement Of Pseudolines
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Arrangement Of Pseudolines
An arrangement of pseudolines is a family of curves that share similar topology, topological properties with a line arrangement. Most commonly, in the study of arrangement of lines, arrangements of lines, these have the simple property that each crosses every other line exactly once. These can be defined in the projective plane as simple closed curves any two of which meet in a single crossing point. Furthermore, in a simple (or ''uniform'') arrangement, along with all lines being required to cross all others, no 3 pseudolines may cross at the same point. Every arrangement of finitely many pseudolines can be extended so that they become lines in a "spread", a type of non-Euclidean incidence geometry in which every two points of a topological plane are connected by a unique line (as in the Euclidean plane) but in which other axioms of Euclidean geometry may not apply. A common diagram used to represent an arrangement is the wiring diagram, a series of parallel lines with cross ...
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Wiring Diagram
A wiring diagram is a simplified conventional pictorial representation of an electrical circuit. It shows the components of the circuit as simplified shapes, and the power and signal connections between the devices. A wiring diagram usually gives information about the relative position and arrangement of devices and terminals on the devices, to help in building or servicing the device. This is unlike a schematic diagram, where the arrangement of the components' interconnections on the diagram usually does not correspond to the components' physical locations in the finished device. A pictorial diagram would show more detail of the physical appearance, whereas a wiring diagram uses a more symbolic notation to emphasize interconnections over physical appearance. A wiring diagram is often used to troubleshoot problems and to make sure that all the connections have been made and that everything is present. Architectural wiring diagrams Architectural wiring diagrams show the ...
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