total ordering การใช้

• Tarski stated, without proof, that these axioms gave a total ordering.
• The output is a total ordering that corresponds to the given partial ordering.
• This gives rise to the total ordering :.
• This total ordering d " " P " satisfies the properties of the first definition.
• We can notice from the equations above that the total ordering cost decreases as the production quantity increases.
• Every recursively enumerable ( or even hyperarithmetic ) nonempty subset of this total ordering has a least element.
• The benefit is that FIFO ordering is much less costly to implement than total ordering for concurrent messages.
• But this would lose important logical properties of the reals; for example, pointwise < is not a total ordering.
• The standard provides a predicate " totalOrder " which defines a total ordering for all floating numbers for each format.
• Non-numerical preference orderings correspond to the preference relations used in the AGM framework : a possibly total ordering over models.
• One need not suppose the objects permuted to be numbers, but one needs a total ordering of the set of objects.
• This field is complete, admits a natural total ordering, and is the unique totally ordered complete field ( up to isomorphism ).
• A reversible mapping to strings can be used to produce the required total ordering for balanced search trees, but not the other way around.
• An acyclic orientation of a complete graph is called a transitive tournament, and is equivalent to a total ordering of the graph's vertices.
• As an example, an ordered set ( of type Set a ) requires a total ordering on the elements ( of type a ) in order to function.
• Let's fix a total ordering of this vector space such that a nonnegative linear combination of positive vectors with at least one nonzero coefficient is another positive vector.
• If these constraints do not give a total ordering for all lines, then the lines that do not have an ordering with respect to each other are additions that conflict.
• In the case when G = ( N, E ) is a total ordering, a simple iterative algorithm for solving this quadratic program is called the pool adjacent violators algorithm.
• Geometrically, the total orderings of a given finite set may be represented as the vertices of a permutohedron, and the dichotomies on this same set as the facets of the permutohedron.
• In a strict weak ordering, the equivalence classes of incomparability give a set partition, in which the sets inherit a total ordering from their elements, giving rise to an ordered partition.