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³Ì«á¸`ÂI¨ç¼Æ (EndNodeFn)

A UnaryFunction that maps a GraphPath to the GraphNode that is the end of the GraphPath. Note that, unlike TerminalNodeFn (which relates a GraphArc to a GraphNode), EndNodeFn is a total function - every GraphPath has a end.

Ontology

SUMO / GRAPH-THEORY

Class(es)

ºØÃþ
is instance of
  ¥iÄ~©ÓÃö«Y  
is instance of
  ¤@¤¸¨ç¼Æ  
is instance of
  ³Ì«á¸`ÂI¨ç¼Æ  

Coordinate term(s)

µ´¹ï­È¨ç¼Æ  ´y­z¨ç¼Æ  ©·¾l©¶  ©·¥¿©¶  ©·¥¿¤Á  ¤Ï­±¨ç¼Æ  ¡]®É¶¡¡^¶}©l¨ç¼Æ  ³Ìªì¸`ÂI¨ç¼Æ  ­p¼Æ¨ç¼Æ  ¤W­­¨ç¼Æ  ¤¬¸É¨ç¼Æ  ¾l©¶¨ç¼Æ  ¬Û¥æ¸ô®|¨ç¼Æ  ³æ¦ì¨ç¼Æ  ¡]®É¶¡¡^µ²§ô¨ç¦¡  ½d³ò¨ç¼Æ  ¤U­­¨ç¼Æ  ¥¿­±¨ç¼Æ  ¡]®É¶¡¡^¥¼¨Ó¨ç¦¡  ·§¤Æ¨ç¼Æ  ·§¤ÆÁp¶°¨ç¼Æ  ¤Q»õ­p¨ç¼Æ  µê¼Æ¨ç¼Æ  ³Ìªñ¥¼¨Ó®É¶¡¨ç¼Æ  ³Ìªñ¹L¥h®É¶¡¨ç¼Æ  °_©l¸`ÂI¨ç¼Æ  ¾ã¼Æ¥­¤è®Ú¨ç¼Æ  ¤d­p¨ç¼Æ  ¦Cªø¨ç¼Æ  ¯Å¼Æ¨ç¼Æ  ¦Ê¸U­p¨ç¼Æ  ¦Ê¸U¤À¤§¤@­p¨ç¼Æ  ¤d¤À¤§¤@­p¨ç¼Æ  ³Ì¤p¬Û¥æ¸ô®|¨ç¼Æ  ©`¦Ì¨ç¼Æ  ¤À¤l¨ç¼Æ  ²Õ´¨ç¼Æ  ¹L¥h®É¶¡¨ç¦¡  ¸ô®|¶q¨ç¼Æ  ¥ü¤À¤§¤@­p¨ç¼Æ  ¾­¶°¦X¨ç¼Æ  «e¼Æ¨ç¼Æ  ¥DÅé¨ç¼Æ  ©ÎµM²v¨ç¼Æ  ¯S©Ê¨ç¼Æ  ¦³²z¼Æ¨ç¼Æ  ¹ê¼Æ¨ç¼Æ  ­Ë¼Æ¨ç¼Æ  ¾ã¼Æ¨ç¼Æ  ¥¿­t¸¹¨ç¼Æ  ¥¿©¶¨ç¼Æ  ªí¥Ö¨ç¼Æ  ¥­¤è®Ú¨ç¼Æ  «á¼Æ¨ç¼Æ  ¥¿¤Á¨ç¼Æ  ¥ü­p¨ç¼Æ  ²×¸`ÂI¨ç¼Æ  °]²£¨ç¼Æ  ¦s¦b®É¶¡¨ç¼Æ  ¦~¥÷¨ç¼Æ 

Type restrictions

¹Ï¸`ÂI EndNodeFn(¹Ï¸ô®|)

Axioms (3)

If graph ¬O ¹Ï ªº ¹ê¨Ò and node1 ¬O ¹Ï¸`ÂI ªº ¹ê¨Ò and node2 ¬O ¹Ï¸`ÂI ªº ¹ê¨Ò and node1 ¬O graph ªº ³¡¤À and node2 ¬O graph ªº ³¡¤À and node1 µ¥©ó node2, then there exist arc,path so that
(=>
      (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)))))))

graph ¬O ¹Ï§Î°j¸ô ªº ¹ê¨Ò if and only if there exists node so that "graph ªº ³Ìªì¸`ÂI" µ¥©ó node and "graph ªº ³Ì«á¸`ÂI" µ¥©ó node.
(<=>
      (instance ?GRAPH GraphCircuit)
      (exists
            (?NODE)
            (and
                  (equal
                        (BeginNodeFn ?GRAPH)
                        ?NODE)
                  (equal
                        (EndNodeFn ?GRAPH)
                        ?NODE))))

³Ì«á¸`ÂI¨ç¼Æ ¤º³¡¬ÛÃö©ó ²×¸`ÂI¨ç¼Æ.
(relatedInternalConcept EndNodeFn TerminalNodeFn)