symmetric difference sentence in Hindi
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- Consequently, assuming intersection and symmetric difference as primitive operations, the union of two sets can be well " defined " in terms of symmetric difference by the right-hand side of the equality
- Consequently, assuming intersection and symmetric difference as primitive operations, the union of two sets can be well " defined " in terms of symmetric difference by the right-hand side of the equality
- However, the symmetric difference of the eventual optimal matching and of the partial matching " M " found by the initial phases forms a collection of vertex-disjoint augmenting paths and alternating cycles.
- The Ford Fulkerson algorithm finds it by repeatedly finding an augmenting path from some to some and updating the matching M by taking the symmetric difference of that path with M ( assuming such a path exists ).
- An alternate interpretation of the Jaccard distance is as the ratio of the size of the symmetric difference A \ triangle B = ( A \ cup B )-( A \ cap B ) to the union.
- If M is a matching, and P is an augmenting path relative to M, then the symmetric difference of the two sets of edges, M \ oplus P, would form a matching with size | M | + 1.
- A measure can be extended to a complete one by considering the ?-algebra of subsets which differ by a negligible set from a measurable set, that is, such that the symmetric difference of and is contained in a null set.
- The power set of any set becomes an abelian group under the operation of symmetric difference, with the empty set as the neutral element of the group and every element in this group being its own intersection as the multiplication of the ring.
- As the symmetric difference of " I " with any augmenting path gives a larger independent set, the task thus reduces to searching for augmenting paths until no more can be found, analogously as in algorithms for finding maximum matchings.
- The set of all even subgraphs of a graph is closed under symmetric difference, and may thus be viewed as a vector space over GF ( 2 ); this vector space is called the " cycle space " of the graph.
- The power set of a set forms an abelian group when considered with the operation of symmetric difference ( with the empty set as the identity element and each set being its own inverse ) and a commutative monoid when considered with the operation of intersection.
- From the property of the inverses in a Boolean group, it follows that the symmetric difference of two repeated symmetric differences is equivalent to the repeated symmetric difference of the join of the two multisets, where for each double set both can be removed.
- From the property of the inverses in a Boolean group, it follows that the symmetric difference of two repeated symmetric differences is equivalent to the repeated symmetric difference of the join of the two multisets, where for each double set both can be removed.
- From the property of the inverses in a Boolean group, it follows that the symmetric difference of two repeated symmetric differences is equivalent to the repeated symmetric difference of the join of the two multisets, where for each double set both can be removed.
- The symmetric difference quotient is employed as the method of approximating the derivative in a number of calculators, including TI-82, TI-83, TI-84, TI-85 all of which use this method with " h " = 0.001.
- It is already guaranteed : After doing the symmetric difference for a path, none of its vertices could be considered again just because the Dist [ Pair _ V [ v ] ] will not be equal to Dist [ u ] + 1 ( It would be exactly Dist [ u ] ).
- Both approaches use the observation that in claw-free graphs, no vertex can have more than two neighbors in an independent set, and so the symmetric difference of two independent sets must induce a subgraph of degree at most two; that is, it is a union of paths and cycles.
- For p = 2, the symmetric difference of two distinct index 2 subgroups ( which are necessarily normal ) gives the third point on the projective line containing these subgroups, and a group must contain 0, 1, 3, 7, 15, \ ldots index 2 subgroups it cannot contain exactly 2 or 4 index 2 subgroups, for instance.
- This implies triangle inequality : the symmetric difference of " A " and " C " is contained in the union of the symmetric difference of " A " and " B " and that of " B " and " C " . ( But note that for the diameter of the symmetric difference the triangle inequality does not hold .)
- This implies triangle inequality : the symmetric difference of " A " and " C " is contained in the union of the symmetric difference of " A " and " B " and that of " B " and " C " . ( But note that for the diameter of the symmetric difference the triangle inequality does not hold .)
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