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Conversely every partition of comes from an equivalence relation in this way, according to which if and only if and belong to the same set of the partition.
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Conversely and every
Conversely, every point on the line can be interpreted as a number in an ordered continuum which includes the real numbers.
Conversely, every formally real field can be equipped with a compatible total order, that will turn it into an ordered field.
Conversely, every preorder is the reachability relationship of a directed graph ( for instance, the graph that has an edge from x to y for every pair ( x, y ) with x ≤ y ).
Conversely, though every president from Washington to John Quincy Adams can be definitely assigned membership in an Anglican or Unitarian body, the significance of these affiliations is often downplayed as unrepresentative of their true beliefs.
Conversely, birds of prey-which show distinct reverse sexual dimorphism — tend to be monogamous for long periods or mate for life ; some species like the Snail kite will choose new mates every year, polygyny is noted in many Harriers and polyandry has been observed in the Harris ' Hawk ( notable for being the only bird of prey to regularly live and hunt in family and social groups ) and the aforementioned Galapagos hawk.
Conversely every positive functional φ gives a corresponding inner product < ƒ, g >< sub > φ </ sub > = φ ( g * ƒ ).
Conversely, every positive semi-definite matrix is the covariance matrix of some multivariate distribution.
We define Thm ( C ) to be the set of all formulas that are valid in C. Conversely, if X is a set of formulas, let Mod ( X ) be the class of all frames which validate every formula from X.
Conversely, if we pick every member of the same population with property and ask " what proportion of these have property?
Conversely, every admissible statistical procedure is either a Bayesian procedure or a limit of Bayesian procedures.
As stated earlier, an adjunction between categories C and D gives rise to a family of universal morphisms, one for each object in C and one for each object in D. Conversely, if there exists a universal morphism to a functor G: C → D from every object of D, then G has a left adjoint.
It is a fact that the ring is a principal ideal ring ; that is, for any ideal I in, there exists an integer n in I such that every element of I is a multiple of n. Conversely, the set of all multiples of an arbitrary integer n is necessarily an ideal, and is usually denoted by ( n ).
This ring is the endomorphism ring of A. Conversely, every ring ( with identity ) is the endomorphism ring of some object in some preadditive category.
Conversely, every Polish space is homeomorphic to a G < sub > δ </ sub >- subset of the Hilbert cube.
Conversely, extra lives are earned by collecting heart points, which are earned by defeating enemies or collecting Hearts, with an extra life earned for every 100 points earned.
Conversely the building can be recovered from the BN pair, so that every BN pair canonically defines a building.
Conversely, the following characterization of derived functors holds: given a family of functors R < sup > i </ sup >: A → B, satisfying the above, i. e. mapping short exact sequences to long exact sequences, such that for every injective object I of A, R < sup > i </ sup >( I )= 0 for every positive i, then these functors are the right derived functors of R < sup > 0 </ sup >.
Conversely and partition
Conversely, any surjection between sets determines a partition on its domain, the set of preimages of singletons in the codomain.
Conversely, from a partial order on a partition of a set S one can construct a preorder on S. There is a 1-to-1 correspondence between preorders and pairs ( partition, partial order ).
Conversely and comes
Conversely, in the Jahwist source, Balaam arrives, the spirit of God comes upon him, and he simply delivers a blessing and a prophecy, in succession.
Conversely and from
Conversely, the existence of Bletchley Park, and of the decrypting achievements there, was never officially shared with the Soviet Union, whose war effort would have greatly benefited from regular decrypting of German messages relating to the Eastern Front.
Conversely the equilibrium position is said to be " far to the left " if hardly any product is formed from the reactants.
Conversely, some men have cross-dressed to escape from mandatory military service or as a disguise to assist in political or social protest, as men did in the Rebecca Riots.
Conversely, an absence of secure cycle-parking is a recurring complaint by cyclists from cities with low modal share of cycling.
Conversely, some organisms have special techniques to prevent crystallization from occurring, such as antifreeze proteins.
Conversely, computer implementations are significant in applying ideas from discrete mathematics to real-world problems, such as in operations research.
Conversely, there are other stars that never rise above the horizon, as seen from any given point on the Earth's surface ( except exactly on the equator ).
Conversely, if the source of waves is moving away from the observer, each wave is emitted from a position farther from the observer than the previous wave, so the arrival time between successive waves is increased, reducing the frequency.
Conversely, the defensive team will know that the offense has to cover a good deal of ground in a single play, will expect a forward pass, and will know from earlier study something of the propensities of the offense they face.
Conversely, when the carbon dioxide levels in the blood decrease ( i. e., in the lung capillaries ), carbon dioxide and protons are released from hemoglobin, increasing the oxygen affinity of the protein.
Conversely, both owners of capital and labor profit in real terms from an increase in the capital endowment.
Conversely, when a piece of land is separated from the mainland by a man-made canal, for example the Peloponnese by the Corinth Canal, it is generally not considered an island.
Conversely, the reasons internalist answers the question in the negative (" No, Sasha does not have a reason not to steal from that poor person, though others might .").
Conversely, JPL, through the Caltech lawyers representing the laboratory, allege that Coppedge's termination was simply due to budget cuts and his demotion from team lead was because of harassment complaints and from on-going conflicts with his co-workers.
Conversely, Trotsky held that socialism in one country would economically constrain the industrial development of the USSR, and thus required assistance from the new socialist countries that had arisen in the developed world, which was essential for maintaining Soviet democracy, in 1924 much undermined by civil war and counter-revolution.
Conversely, the cultural divergence at the border became sharper: in theory, a uniform French identity extends from the Atlantic coast to the Rhine, and on the other bank of the Rhine, a uniform German identity begins.
Conversely, air rising from the northern surface of the Earth ( creating a region of low pressure ) tends to draw air toward it in a counterclockwise pattern.
Conversely, Walter Burkert suggests that the Hellene cult worship of Poseidon as a horse god may be connected to the introduction of the horse and war-chariot from Anatolia to Greece around 1600 BC.