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appearance as argument number 1

(documentation BeginNodeFn ChineseLanguage "这是一个 UnaryFunction，它把一个 GraphPath 联系到 GraphPath 开端的 GraphNode。注：跟 InitialNodeFn 不同 (把一个 GraphArc 和一个 GraphNode 联系)， BeginNodeFn 是一个总体的函数 - 每个 GraphPath 都有它的开端。")	chinese_format.kif 2362-2364
(documentation BeginNodeFn EnglishLanguage "A UnaryFunction that maps a GraphPath to the GraphNode that is the beginning of the GraphPath. Note that, unlike InitialNodeFn (which relates a GraphArc to a GraphNode), BeginNodeFn is a total function - every GraphPath has a beginning.")	Merge.kif 5947-5950
(documentation BeginNodeFn JapaneseLanguage "UnaryFunction は、GraphPath を GraphPath の先頭である GraphNode にマップする。　注：InitialNodeFn (GraphArc と GraphNode を関連付ける) とは異なり、BeginNodeFn は完全な関数であり、すべての GraphPath には始まりがある。")	japanese_format.kif 1039-1041
(domain BeginNodeFn 1 GraphPath)	Merge.kif 5943-5943	The number 1 argument of begin node is an instance of graph path
(instance BeginNodeFn TotalValuedRelation)	Merge.kif 5942-5942	Begin node is an instance of total valued relation
(instance BeginNodeFn UnaryFunction)	Merge.kif 5941-5941	Begin node is an instance of unary function
(range BeginNodeFn GraphNode)	Merge.kif 5944-5944	The range of begin node is an instance of graph node
(relatedInternalConcept BeginNodeFn InitialNodeFn)	Merge.kif 5945-5945	Begin node is internally related to initial node

appearance as argument number 2

(format ChineseLanguage BeginNodeFn "%1 的开端")	chinese_format.kif 765-765
(format EnglishLanguage BeginNodeFn "the beginning of %1")	english_format.kif 765-765
(format FrenchLanguage BeginNodeFn "le commencement de %1")	french_format.kif 462-462
(format ItalianLanguage BeginNodeFn "l' inizio di %1")	relations-it.txt 35-35
(format JapaneseLanguage BeginNodeFn "%1 の beginning")	japanese_format.kif 2166-2166
(format PortugueseLanguage BeginNodeFn "o comeco de %1")	portuguese_format.kif 414-414
(format cb BeginNodeFn "ang sugod sa %1")	relations-cb.txt 69-69
(format cz BeginNodeFn "the beginning of %1")	relations-cz.txt 475-475
(format de BeginNodeFn "der anfang von %1")	relations-de.txt 988-988
(format hi BeginNodeFn "%1 kaa praarambha-noda")	relations-hindi.txt 79-79
(format ro BeginNodeFn "beginning%t{începutul} lui %1")	relations-ro.kif 484-484
(format sv BeginNodeFn "början för %1")	relations-sv.txt 528-528
(format tg BeginNodeFn "ang simula sa %1")	relations-tg.txt 86-86
(termFormat ChineseLanguage BeginNodeFn "开始节点")	domainEnglishFormat.kif 10571-10571
(termFormat ChineseLanguage BeginNodeFn "节点开端函数")	chinese_format.kif 766-766
(termFormat ChineseTraditionalLanguage BeginNodeFn "開始節點")	domainEnglishFormat.kif 10570-10570
(termFormat EnglishLanguage BeginNodeFn "begin node")	domainEnglishFormat.kif 10569-10569
(termFormat tg BeginNodeFn "tunkulin ng simula buko")	relations-tg.txt 87-87

antecedent

(=>
    (and
        (equal
            (BeginNodeFn ?GRAPH) ?NODE)
        (equal
            (EndNodeFn ?GRAPH) ?NODE))
    (instance ?GRAPH GraphCircuit))

Merge.kif 5766-5770

If the beginning of a graph path is equal to a graph node and the end of the graph path is equal to the graph node,
then the graph path is an instance of graph circuit

consequent

(=> (and (distanceOnPath ?DIST ?PATH) (pathInSystem ?PATH ?SYS) (routeStart ?START ?PATH) (routeEnd ?END ?PATH) (abstractCounterpart ?GRAPH ?SYS)) (exists (?S ?BN ?EN) (and (subGraph ?S ?GRAPH) (equal ?BN (BeginNodeFn ?GRAPH)) (equal ?EN (EndNodeFn ?GRAPH)) (abstractCounterpart ?BN ?START) (abstractCounterpart ?EN ?END))))	Transportation.kif 2839-2852	If the distance of a transitway is a constant quantity and a transit system is a path in system of the transitway and a region is the start of the transitway and another region is the end of the transitway and the abstract counterpart of the transit system is a graph path, then there exist a graph, a graph node and another graph node such that the graph is a subgraph of the graph path and the graph node is equal to the beginning of the graph path and the other graph node is equal to the end of the graph path and the abstract counterpart of the region is the graph node and the abstract counterpart of the other region is the other graph node
(=> (and (instance ?GRAPH Graph) (instance ?NODE1 GraphNode) (instance ?NODE2 GraphNode) (graphPart ?NODE1 ?GRAPH) (graphPart ?NODE2 ?GRAPH) (not (equal ?NODE1 ?NODE2))) (exists (?ARC ?PATH) (or (links ?NODE1 ?NODE2 ?ARC) (and (subGraph ?PATH ?GRAPH) (instance ?PATH GraphPath) (or (and (equal (BeginNodeFn ?PATH) ?NODE1) (equal (EndNodeFn ?PATH) ?NODE2)) (and (equal (BeginNodeFn ?PATH) ?NODE2) (equal (EndNodeFn ?PATH) ?NODE1)))))))	Merge.kif 5631-5651	If a graph is an instance of graph and a graph node is an instance of graph node and another graph node is an instance of graph node and the graph node is a part of the graph and the other graph node is a part of the graph and the graph node is not equal to the other graph node, then there exist a graph arc and a graph path such that the graph arc links the graph node and the other graph node or the graph path is a subgraph of the graph and the graph path is an instance of graph path and the beginning of the graph path is equal to the graph node and the end of the graph path is equal to the other graph node or the beginning of the graph path is equal to the other graph node and the end of the graph path is equal to the graph node
(=> (instance ?GRAPH GraphCircuit) (exists (?NODE) (and (equal (BeginNodeFn ?GRAPH) ?NODE) (equal (EndNodeFn ?GRAPH) ?NODE))))	Merge.kif 5759-5764	If a graph path is an instance of graph circuit, then there exists a graph node such that the beginning of the graph path is equal to the graph node and the end of the graph path is equal to the graph node

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KB Term:			Term intersection

English Word: