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qi3 shi3 jie2 dian3 han2 shu4 (InitialNodeFn)

A UnaryFunction that maps a GraphArc to the initial node of the GraphArc. Note that this is a partial function. In particular, the function is undefined for GraphArcs that are not part of a DirectedGraph.

Ontology

SUMO / GRAPH-THEORY

Class(es)

zhong3 lei4
is instance of
  ke3 ji4 cheng2 guan1 xi4  
is instance of
  yi1 yuan2 han2 shu4  
is instance of
  qi3 shi3 jie2 dian3 han2 shu4  

Coordinate term(s)

jue2 dui4 zhi2 han2 shu4  miao2 shu4 han2 shu4  hu2 yu2 xian2  hu2 zheng4 xian2  hu2 zheng4 qie1  fan3 mian4 han2 shu4  shi2 jian1 kai1 shi3 han2 shu4  zui4 chu1 jie2 dian3 han2 shu4  ji4 shu4 han2 shu4  shang4 xian4 han2 shu4  hu4 bu3 han2 shu4  yu2 xian2 han2 shu4  xiang1 jiao1 lu4 jing4 han2 shu4  dan1 wei4 han2 shu4  shi2 jian1 jie2 shu4 han2 shi4  zui4 hou4 jie2 dian3 han2 shu4  fan4 wei2 han2 shu4  xia4 xian4 han2 shu4  zheng4 mian4 han2 shu4  shi2 jian1 wei4 lai2 han2 shi4  gai4 hua4 han2 shu4  gai4 hua4 lian2 ji2 han2 shu4  shi2 yi4 ji4 han2 shu4  xu1 shu4 han2 shu4  zui4 jin4 wei4 lai2 shi2 jian1 han2 shu4  zui4 jin4 guo4 qu4 shi2 jian1 han2 shu4  zheng3 shu4 ping2 fang1 gen1 han2 shu4  qian1 ji4 han2 shu4  lie4 zhang3 han2 shu4  ji2 shu4 han2 shu4  bai3 wan4 ji4 han2 shu4  bai3 wan4 fen1 zhi1 yi1 ji4 han2 shu4  qian1 fen1 zhi1 yi1 ji4 han2 shu4  zui4 xiao3 xiang1 jiao1 lu4 jing4 han2 shu4  nai4 mi3 han2 shu4  fen1 zi3 han2 shu4  zu3 zhi1 han2 shu4  guo4 qu4 shi2 jian1 han2 shi4  lu4 jing4 liang4 han2 shu4  zhao4 fen1 zhi1 yi1 ji4 han2 shu4  mi4 ji2 he2 han2 shu4  qian2 shu4 han2 shu4  zhu3 ti1 han2 shu4  huo4 ran2 lv4 han2 shu4  te4 xing4 han2 shu4  you3 li3 shu4 han2 shu4  shi2 shu4 han2 shu4  dao3 shu4 han2 shu4  zheng3 shu4 han2 shu4  zheng4 fu4 hao4 han2 shu4  zheng4 xian2 han2 shu4  biao3 pi2 han2 shu4  ping2 fang1 gen1 han2 shu4  hou4 shu4 han2 shu4  zheng4 qie1 han2 shu4  zhao4 ji4 han2 shu4  zhong1 jie2 dian3 han2 shu4  cai2 chan3 han2 shu4  cun2 zai4 shi2 jian1 han2 shu4  nian2 fen4 han2 shu4 

Type restrictions

tu2 jie2 dian3 InitialNodeFn(tu2 hu2 xian4)

Axioms (4)

If graph shi4 you3 xiang4 tu2 de5 shi2 li4 and arc shi4 tu2 hu2 xian4 de5 shi2 li4 and arc shi4 graph de5 bu4 fen5, then there exist node1,node2 so_that_not "arc de5 qi3 shi3 jie2 dian3" deng3 yu1 node1 and "arc de5 zui4 zhong1 jie2 dian3" deng3 yu1 node2. 
(=>
      (and
            (instance ?GRAPH DirectedGraph)
            (instance ?ARC GraphArc)
            (graphPart ?ARC ?GRAPH))
      (exists
            (?NODE1 ?NODE2)
            (and
                  (equal
                        (InitialNodeFn ?ARC)
                        ?NODE1)
                  (equal
                        (TerminalNodeFn ?ARC)
                        ?NODE2))))
(=>
      (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)))))))
If "arc de5 qi3 shi3 jie2 dian3" deng3 yu1 node and "arc de5 zui4 zhong1 jie2 dian3" deng3 yu1 node, then arc shi4 tu2 hui2 quan1 de5 shi2 li4. 
(=>
      (and
            (equal
                  (InitialNodeFn ?ARC)
                  ?NODE)
            (equal
                  (TerminalNodeFn ?ARC)
                  ?NODE))
      (instance ?ARC GraphLoop))
zui4 chu1 jie2 dian3 han2 shu4 na4 bu4 xiang1 guan1 yu1 qi3 shi3 jie2 dian3 han2 shu4. 
(relatedInternalConcept BeginNodeFn InitialNodeFn)