 Page "Bayes' theorem" ¶ 31
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Conversely and if Conversely, if statistics were uncovered which contradicted a cherished theory, the sources were denounced as faulty. Conversely, experimenters would consider as impressive such statements as the following, which, if they turned out to be hits, are so unusual as to be really significant: Conversely, if he gives a heavy rating to his own reading, and finds more accurate facts in it than in the others, a point is chalked up for the intrinsic, objective meaningfulness of this type of mediumistic material. Conversely, a subset R defines a binary function if and only if, for any x in X and y in Y, there exists a unique z in Z such that ( x, y, z ) belongs to R. Conversely, if a Boolean ring A is given, we can turn it into a Boolean algebra by defining x ∨ y := x + y + ( x · y ) and x ∧ y := x · y. Conversely if you do have a better product suddenly you have these businesses that grow like topsy. Conversely, if the second theory is correct, then the Athenians were merely reacting to the Persians attacking them. Conversely the equilibrium position is said to be " far to the left " if hardly any product is formed from the reactants. Conversely, negative chemotaxis occurs if the movement is in the opposite direction. Conversely, if ƒ: C → C is a function which is differentiable when regarded as a function on R < sup > 2 </ sup >, then ƒ is complex differentiable if and only if the Cauchy – Riemann equations hold. Conversely, if the same is done with the left hand, a left-handed system results. Conversely, if the amount of fat is increased, increasing the number of calories ingested will only add weight. 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 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. If neither A nor B includes the idea of existence, then " some A are B " simply adjoins A to B. Conversely, if A or B do include the idea of existence in the way that " triangle " contains the idea " three angles equal to two right angles ", then " A exists " is automatically true, and we have an ontological proof of A's existence. Conversely, if the measured potential is negative, the electrode is more oxidizing than the SHE ( such as Zn in ZnSO < sub > 4 </ sub > where the standard electrode potential is − 0. 76 V ). Conversely, if the firm is able to get bulk discounts of an input, then it could have economies of scale in some range of output levels even if it has decreasing returns in production in that output range. Conversely, if no advantage is gained from kicking the ball, play should continue. Conversely, daylight stock shot in daylight will look normal, but orange if shot under tungsten lights. Conversely, if the data are sparse — that is, if only K out of N Fourier coefficients are nonzero — then the complexity can be reduced to O ( K log N log ( N / K )), and this has been demonstrated to lead to practical speedups compared to an ordinary FFT for N / K > 32 in a large-N example ( N = 2 < sup > 22 </ sup >) using a probabilistic approximate algorithm ( which estimates the largest K coefficients to several decimal places ).

Conversely and we Conversely we have a b if and only if a < b or a ~ b. This is the reason for using the notation ""; "≤" can be confusing for a preorder that is not anti-symmetric, it may suggest that a ≤ b implies that a < b or a Conversely, specifying the symmetry can define the structure, or at least clarify what we mean by an invariant, geometric language in which to discuss it ; this is one way of looking at the Erlangen programme. Conversely, a scientific antirealist or instrumentalist argues that science does not aim ( or at least does not succeed ) at truth and that we should not regard scientific theories as true. Conversely, suppose we are given ( U, V, W ) satisfying Conversely, given any ring, we can form a category by taking objects A < sub > n </ sub > indexed by the set of natural numbers ( including zero ) and letting the hom-set of morphisms from to be the set of-by-matrices over, and where composition is given by matrix multiplication. Conversely, we understand Cleopatra at her death as the transcendent queen of “ immortal longings ” because the container of her mortality can no longer restrain her: unlike Antony, she never melts, but sublimates from her very earthly flesh to ethereal fire and air .” Conversely we come to understand Cleopatra in that the container of her mortality can no longer restrain her. " Conversely, Jeffrey Tucker of the Ludwig von Mises Institute has argued that " The whole scene — which anticipated so much of the technology we have today but, strangely, not email or texting — reflected the ethos of time: a love of progress and a vision of a future that stayed on course ... Conversely, if we accept that human beings do have ( libertarian or incompatibilist ) free will, then we must accept that the world is not entirely governed by natural law. Conversely, starting from this equivalence we can recover U as the composite Rel → Sup → Set of the forgetful functor for Sup with this embedding of Rel in Sup. Conversely, we can deduce that a minority of the helots were Laconian, thus making this the one and only revolt of their history. Conversely, we will explore how insights from science can be useful, not only to develop technology and improve our material comfort, but to reduce the suffering of individuals, families, and society. Conversely, if we say that Paul has the goal of going into graduate school, he may not necessarily believe that he will be able to accomplish this. Conversely, given a Hopf algebra whose coalgebra structure is given above, we can recover a formal group law F from it. Conversely, given a Boolean ring R, we define the join operation by a ' b = a + b + ab, and the meet operation as multiplication. Conversely, we have every opportunity to prevent our lives from being boring. Conversely, given a configuration of a conic and six lines which tangent to it in the plane, we may define the double cover of the plane ramified over the union of these 6 lines. Conversely, if the length-scale decreases and the physical parameters approach fixed values, then we have ultraviolet fixed points. Conversely, given any element u ∈ F ( A ) we may define a natural transformation Φ: Hom ( A ,–) → F via Conversely, in the limit we have infinitely rapid, or diabatic passage ; the configuration of the state remains unchanged: Conversely, if G contains a proper non-trivial normal subgroup N, then the composition of the natural surjective group homomorphism G → G / N with the regular representation of G / N produces a representation π of G which has kernel N. Taking χ to be the character of some non-trivial subrepresentation of π, we have a character satisfying the hypothesis in the direct statement above.

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