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KB Term:  Term intersection
English Word: 

Sigma KEE - GraphArc
GraphArc(graph arc)
asymptote, center_line, centerline, chord, connection, connexion, diagonal, diameter, element, element_of_a_cone, element_of_a_cylinder, geodesic, geodesic_line, link, perimeter, perpendicular, radius, ray, secant, straight_line, vector

appearance as argument number 1
-------------------------


(documentation GraphArc ChineseLanguage "Graph 是由 GraphNodeGraphArc 组成,每个 GraphArc 都会联系两个 GraphNode。") chinese_format.kif 2344-2345
(documentation GraphArc EnglishLanguage "Graphs are comprised of GraphNodes and GraphArcs. Every GraphArc links two GraphNodes.") Merge.kif 5491-5492
(externalImage GraphArc "http://upload.wikimedia.org/wikipedia/commons/5/ 5b/ 6n-graf.svg") pictureList.kif 1789-1789
(subclass GraphArc GraphElement) Merge.kif 5489-5489 Graph arc is a subclass of graph element

appearance as argument number 2
-------------------------


(subclass GraphLoop GraphArc) Merge.kif 5499-5499 Graph loop is a subclass of graph arc
(termFormat ChineseLanguage GraphArc "图弧") chinese_format.kif 942-942
(termFormat EnglishLanguage GraphArc "graph arc") english_format.kif 1096-1096

appearance as argument number 3
-------------------------


(domain InitialNodeFn 1 GraphArc) Merge.kif 5567-5567 The number 1 argument of initial node is an instance of graph arc
(domain TerminalNodeFn 1 GraphArc) Merge.kif 5577-5577 The number 1 argument of terminal node is an instance of graph arc
(domain arcWeight 1 GraphArc) Merge.kif 5609-5609 The number 1 argument of arc weight is an instance of graph arc
(domain links 3 GraphArc) Merge.kif 5518-5518 The number 3 argument of links is an instance of graph arc
(partition GraphElement GraphNode GraphArc) Merge.kif 5467-5467 Graph element is exhaustively partitioned into graph node and graph arc

antecedent
-------------------------


(=>
    (and
        (graphMeasure ?G ?M)
        (instance ?AN GraphNode)
        (graphPart ?AN ?G)
        (graphPart ?AA ?G)
        (instance ?AA GraphArc)
        (abstractCounterpart ?AN ?PN)
        (abstractCounterpart ?AA ?PA)
        (arcWeight ?AA
            (MeasureFn ?N ?M)))
    (measure ?PA
        (MeasureFn ?N ?M)))
Merge.kif 5816-5826
(=>
    (and
        (instance ?GRAPH DirectedGraph)
        (instance ?ARC GraphArc)
        (graphPart ?ARC ?GRAPH))
    (exists (?NODE1 ?NODE2)
        (and
            (equal
                (InitialNodeFn ?ARC) ?NODE1)
            (equal
                (TerminalNodeFn ?ARC) ?NODE2))))
Merge.kif 5348-5356
(=>
    (and
        (instance ?GRAPH GraphPath)
        (instance ?ARC GraphArc)
        (graphPart ?ARC ?GRAPH))
    (=>
        (equal
            (InitialNodeFn ?ARC) ?NODE)
        (not
            (exists (?OTHER)
                (and
                    (equal
                        (InitialNodeFn ?OTHER) ?NODE)
                    (not
                        (equal ?OTHER ?ARC)))))))
Merge.kif 5399-5409
(=>
    (and
        (instance ?GRAPH GraphPath)
        (instance ?ARC GraphArc)
        (graphPart ?ARC ?GRAPH))
    (=>
        (equal
            (TerminalNodeFn ?ARC) ?NODE)
        (not
            (exists (?OTHER)
                (and
                    (equal
                        (TerminalNodeFn ?OTHER) ?NODE)
                    (not
                        (equal ?OTHER ?ARC)))))))
Merge.kif 5411-5421
(=>
    (instance ?ARC GraphArc)
    (exists (?NODE1 ?NODE2)
        (links ?NODE1 ?NODE2 ?ARC)))
Merge.kif 5494-5497

consequent
-------------------------


(=>
    (and
        (instance ?TS TransitSystem)
        (instance ?T Transitway)
        (abstractCounterpart ?G ?TS)
        (systemPart ?T ?TS))
    (exists (?GA)
        (and
            (instance ?GA GraphArc)
            (abstractCounterpart ?GA ?T)
            (graphPart ?GA ?G))))
Transportation.kif 2824-2834


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