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principal host fn (PrincipalHostFn)

A UnaryFunction that maps a Hole to the Object which is its principal host. The principle host of a Hole is its maximally connected host (a notion taken here to be defined only when the argument is a hole).

Ontology

SUMO / MEREOTOPOLOGY

Class(es)

varga
is instance of
  inheritable relation  
is instance of
  sthaana sambandha  
is instance of
varga
is instance of
  inheritable relation  
is instance of
  ekaadhaary prakaarya  
is instance of
asaamanjasyapUrNa sambandha
is instance of
is instance of
  principal host fn  

Coordinate term(s)

absolute value fn  abstraction fn  arc cosine fn  arc sine fn  arc tangent fn  back fn  begin fn  begin node fn  cardinality fn  ceiling fn  complement fn  cosine fn  cut set fn  denominator fn  end fn  end node fn  extension fn  floor fn  front fn  future fn  generalized intersection fn  generalized union fn  giga fn  imaginary part fn  immediate future fn  immediate past fn  initial node fn  integer square root fn  kilo fn  list length fn  magnitude fn  mega fn  mereological difference fn  mereological product fn  mereological sum fn  micro fn  milli fn  minimal cut set fn  nano fn  numerator fn  organization fn  past fn  path weight fn  pico fn  power set fn  predecessor fn  probability fn  property fn  rational number fn  real number fn  reciprocal fn  round fn  signum fn  sine fn  skin fn  square root fn  successor fn  tangent fn  tera fn  terminal node fn  wealth fn  when fn  where fn  year fn  attribute  authors  between  causes  causes subclass  citizen  closed on  completely fills  connected  connects  contains information  crosses  date  developmental form  distance  documentation  duration  editor  element  equivalence relation on  exploits  expressed in language  fills  frequency  graph part  has purpose  has skill  holds during  holds obligation  holds right  hole  identity element  immediate instance  immediate subclass  in list  in scope of interest  inhabits  irreflexive on  larger  manner  measure  meets temporally  member  modal attribute  orientation  parent  part  partial ordering on  partially fills  partly located  path length  penetrates  possesses  precondition  proper part  properly fills  publishes  range  range subclass  realization  reflexive on  smaller  successor attribute  surface  temporal part  time  total ordering on  traverses  trichotomizing on  uses  valence  version 

Type restrictions

object PrincipalHostFn(antaraala)

Axioms (3)

Agar obj1 is equal to "the host of the hole hole", to sab-kuch obj2 ke lie hai, ki: obj2 overlaps with obj1 agar hai yah kuch obj3 nahin, ki hole obj3 men chidra hai aur obj2 overlaps with obj3. 
(=>
      (equal
            ?OBJ1
            (PrincipalHostFn ?HOLE))
      (forall
            (?OBJ2)
            (<=>
                  (overlapsSpatially ?OBJ2 ?OBJ1)
                  (exists
                        (?OBJ3)
                        (and
                              (hole ?HOLE ?OBJ3)
                              (overlapsSpatially ?OBJ2 ?OBJ3))))))
Agar obj1 is equal to "the surface of the hole hole", to sab-kuch obj2 ke lie hai, ki: obj2 overlaps with obj1 agar hai yah kuch obj3 nahin, ki obj3 is a superficial part of "the host of the hole hole" aur hole meets obj3 aur obj2 overlaps with obj3. 
(=>
      (equal
            ?OBJ1
            (SkinFn ?HOLE))
      (forall
            (?OBJ2)
            (<=>
                  (overlapsSpatially ?OBJ2 ?OBJ1)
                  (exists
                        (?OBJ3)
                        (and
                              (superficialPart
                                    ?OBJ3
                                    (PrincipalHostFn ?HOLE))
                              (meetsSpatially ?HOLE ?OBJ3)
                              (overlapsSpatially ?OBJ2 ?OBJ3))))))
Agar area is an instance of jala kshetra, to yah kuch bed,hole,jala water nahin, ki "the host of the hole hole" is equal to bed aur water properly fills hole aur "the union of the parts of bed and water" is equal to area. 
(=>
      (instance ?AREA WaterArea)
      (exists
            (?BED ?HOLE ?WATER)
            (and
                  (equal
                        (PrincipalHostFn ?HOLE)
                        ?BED)
                  (instance ?WATER Water)
                  (properlyFills ?WATER ?HOLE)
                  (equal
                        (MereologicalSumFn ?BED ?WATER)
                        ?AREA))))