transitive closure sentence in Hindi
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- If the axiom of choice holds and the cardinal ? is regular, then a set is hereditarily of cardinality less than ? if and only if its transitive closure is of cardinality less than ?.
- The transitive closure of this relation is a different relation, namely " there is a sequence of direct flights that begins at city " x " and ends at city " y " ".
- In all of these transitive closure algorithms, it is possible to distinguish pairs of vertices that are reachable by at least one path of length two or more from pairs that can only be connected by a length-one path.
- Permutation methods can be used to create from any model of NFU a model in which every strongly cantorian isomorphism type of set pictures is actually realized as the restriction of the true membership relation to the transitive closure of a set.
- In Java Platform, Enterprise Edition ( Java EE ), the "'Conversational state "'are the field values of a session bean plus the transitive closure of the objects reachable from the bean's fields.
- Then it can be proved that PA \ subseteq FO + TC and, in fact, PA = FO + \ text { pos } \, TC-the languages recognized by pebble automata are exactly those expressible in positive transitive closure logic.
- This also holds in Zermelo Fraenkel set theory with ur-elements with or without the axiom of choice provided the ur-elements form a set which is equinumerous with a pure set ( a set whose transitive closure contains no ur-elements ).
- A zero-or-more-steps rewriting like this is captured by the reflexive transitive closure of \ xrightarrow [ R ] { }, denoted by \ xrightarrow [ R ] { * } ( see abstract rewriting system # Basic notions ).
- There is a kind of transitive closure here if one thinks of the graph as representing a topological ordering, but " transitivity " in graph theory is more about symmetry than ordering .-- talk ) 15 : 04, 18 September 2014 ( UTC)
- This is characterized by taking the transitive closure of direct revealed preferences and require that it is antisymmetric, i . e . if A is revealed preferred to B ( directly or indirectly ), then B is not revealed preferred to A ( directly or indirectly ).
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